Author | Title | |
---|---|---|
Boglarka Soos | ||
Jonathan Murley | ||
Jared Penney | ||
Zhaoxin Wan | ||
Dale Connor | ||
Zhao Jin | ||
Nazgol Shahbandi |
Author | Title | |
---|---|---|
Anton Baglaenko | ||
Christopher Morley | ||
Eduardo Dos Santos Lobo Brandao |
| |
Drew Lloyd | ||
Sonia Markes | ||
William Ko | ||
Lisa Nagy | ||
Devin Glew | ||
Tyler Holden | ||
Todd Murray Kemp | ||
Kelly Anne Ogden |
Author | Title | |
---|---|---|
Joshua Fletcher | ||
Benjamin Turnbull | ||
Mathieu Cliche | ||
Mahmoudreza Ghaznavi | ||
Nitin Upadhyaya | ||
Antonia Sanchez | ||
Adley Au |
Author | Title | |
---|---|---|
Colin Phipps | ||
Herbert Tang | ||
Ryan Morris | ||
Michael Dumphy | ||
Robert Huneault | ||
Colin Turner | ||
Chad Wells | ||
Scott Rostrup | ||
Edward Dupont | ||
Katie Ferguson | ||
Peter Stechlinski | ||
Derek Steinmoeller | ||
Alen Shun | ||
Subasha Wickramarachichi | ||
Wentao Liu |
Author | Title | |
---|---|---|
Edward Platt | ||
Ranmal Perera | ||
Ilya Kobelevskiy | ||
Christopher Scott Ferrie | ||
Cameron Christou | ||
Easwar Magesan | ||
William Donnelly | ||
Angus Prain | ||
Jeff Timko |
Author | Title | |
---|---|---|
Elham Monifi | ||
Yasunori Aoki | ||
James Gordon | ||
Youna Hu | ||
Lei Tang | ||
Paul Ullrich | ||
Yijia Li | ||
Scott Sitar | ||
Anthony Chak Tong Chan | ||
Tyler Wilson | ||
Roger Chor Chun Chau | ||
Eduardo Barrenechea |
Emily Dautenhahn Thesis: Heat kernel estimates on glued spaces Advisor: Laurent Saloff-Coste First Position: Assistant Professor at Murray State University
Elena Hafner Thesis: Combinatorics of Vexillary Grothendieck Polynomials Advisor: Karola Meszaros First Position: NSF Postdoctoral Fellow,, at University of Washington
Sumun Iyer Thesis: Dynamics of non-locally compact topological groups Advisor: Slawomir Solecki First Position: NSF Postdoctoral Fellow at Carnegie Mellon University in Pittsburgh
Sebastian Junge Thesis: Applications of Transferring the Ramsey Property between Categories Advisor: Slawomir Solecki First Position: Lecturer at Texas State University
Nicki Magill Thesis: Infinite Staircases for Hirzebruch Surfaces Advisor: Tara Holm First Position: NSF Postdoctoral Fellow at UC Berkeley
Prairie Wentworth-Nice Thesis: Finite Groups, Polymatroids, and Error-Correcting Codes Advisor: Edward Swartz First Position: Postdoctoral Teaching Fellow at Johns Hopkins University
Fiona Young Thesis: Dissecting an Integer Polymatroid Advisor: Edward Swartz First Position: Pursuing her own start-up in the math education technology space
Kimoi Kemboi Thesis: Full exceptional collections of vector bundles on linear GIT quotients Advisor: Daniel Halpern-Leistner First Position: Postdoc at the Institution for Advanced Study and Princeton
Max Lipton Thesis: Dynamical Systems in Pure Mathematics Advisor: Steven Strogatz First Position: NSF Mathematical Sciences Postdoctoral Fellow at Massachusetts Institute of Technology
Elise McMahon Thesis: A simplicial set approach to computing the group homology of some orthogonal subgroups of the discrete group Advisor: Inna Zakharevich First Position: Senior Research Scientist at Two Six Technologies
Andrew Melchionna Thesis: Opinion Propagation and Sandpile Models Advisor: Lionel Levine First Position: Quantitative Researcher at Trexquant
Peter Uttenthal Thesis: Density of Selmer Ranks in Families of Even Galois Representations Advisor: Ravi Kumar Ramakrishna First Position: Visiting Assistant Professor at Cornell University
Liu Yun Thesis: Towers of Borel Fibrations and Generalized Quasi-Invariants Advisor: Yuri Berest First Position: Postdoc at Indiana University Bloomington
Romin Abdolahzadi Thesis: Anabelian model theory Advisor: Anil Nerode First Position: Quantitative Analyst, A.R.T. Advisors, LLC
Hannah Cairns Thesis: Abelian processes, and how they go to sleep Advisor: Lionel Levine First Position: Visiting Assistant Professor, Cornell University
Shiping Cao Thesis: Topics in scaling limits on some Sierpinski carpet type fractals Advisor: Robert Strichartz (Laurent Saloff-Coste in last semester) First Position: Postdoctoral Scholar, University of Washington
Andres Fernandes Herrero Thesis: On the boundedness of the moduli of logarithmic connections Advisor: Nicolas Templier First Position: Ritt Assistant Professor, Columbia University
Max Hallgren Thesis: Ricci Flow with a Lower Bound on Ricci Curvature Advisor: Xiaodong Cao First Position: NSF Postdoctoral Research Fellow, Rutgers University
Gautam Krishnan Thesis: Degenerate series representations for symplectic groups Advisor: Dan Barbasch First Position: Hill Assistant Professor, Rutgers University
Feng Liang Thesis: Mixing time and limit shapes of Abelian networks Advisor: Lionel Levine
David Mehrle Thesis: Commutative and Homological Algebra of Incomplete Tambara Functors Advisor: Inna Zakharevich First Position: Postdoctoral Scholar, University of Kentucky
Itamar Sales de Oliveira Thesis: A new approach to the Fourier extension problem for the paraboloid Advisor: Camil Muscalu First Position: Postdoctoral Researcher, Nantes Université
Brandon Shapiro Thesis: Shape Independent Category Theory Advisor: Inna Zakharevich First Position: Postdoctoral Fellow, Topos Institute
Ayah Almousa Thesis: Combinatorial characterizations of polarizations of powers of the graded maximal ideal Advisor: Irena Peeva First position: RTG Postdoctoral Fellow, University of Minnesota
Jose Bastidas Thesis: Species and hyperplane arrangements Advisor: Marcelo Aguiar First position: Postdoctoral Fellow, Université du Québec à Montréal
Zaoli Chen Thesis: Clustered Behaviors of Extreme Values Advisor: Gennady Samorodnitsky First Position: Postdoctoral Researcher, Department of and Statistics, University of Ottawa
Ivan Geffner Thesis: Implementing Mediators with Cheap Talk Advisor: Joe Halpern First Position: Postdoctoral Researcher, Technion – Israel Institute of Technology
Ryan McDermott Thesis: Phase Transitions and Near-Critical Phenomena in the Abelian Sandpile Model Advisor: Lionel Levine
Aleksandra Niepla Thesis: Iterated Fractional Integrals and Applications to Fourier Integrals with Rational Symbol Advisor: Camil Muscalu First Position: Visiting Assistant Professor, College of the Holy Cross
Dylan Peifer Thesis: Reinforcement Learning in Buchberger's Algorithm Advisor: Michael Stillman First Position: Quantitative Researcher, Susquehanna International Group
Rakvi Thesis: A Classification of Genus 0 Modular Curves with Rational Points Advisor: David Zywina First Position: Hans Rademacher Instructor, University of Pennsylvania
Ana Smaranda Sandu Thesis: Knowledge of counterfactuals Advisor: Anil Nerode First Position: Instructor in Science Laboratory, Computer Science Department, Wellesley College
Maru Sarazola Thesis: Constructing K-theory spectra from algebraic structures with a class of acyclic objects Advisor: Inna Zakharevich First Position: J.J. Sylvester Assistant Professor, Johns Hopkins University
Abigail Turner Thesis: L2 Minimal Algorithms Advisor: Steven Strogatz
Yuwen Wang Thesis: Long-jump random walks on finite groups Advisor: Laurent Saloff-Coste First Position: Postdoc, University of Innsbruck, Austria
Beihui Yuan Thesis: Applications of commutative algebra to spline theory and string theory Advisor: Michael Stillman First Position: Research Fellow, Swansea University
Elliot Cartee Thesis: Topics in Optimal Control and Game Theory Advisor: Alexander Vladimirsky First Position: L.E. Dickson Instructor, Department of , University of Chicago
Frederik de Keersmaeker Thesis: Displaceability in Symplectic Geometry Advisor: Tara Holm First Position: Consultant, Addestino Innovation Management
Lila Greco Thesis: Locally Markov Walks and Branching Processes Advisor: Lionel Levine First Position: Actuarial Assistant, Berkshire Hathaway Specialty Insurance
Benjamin Hoffman Thesis: Polytopes And Hamiltonian Geometry: Stacks, Toric Degenerations, And Partial Advisor: Reyer Sjamaar First Position: Teaching Associate, Department of , Cornell University
Daoji Huang Thesis: A Bruhat Atlas on the Wonderful Compactification of PS O(2 n )/ SO (2 n -1) and A Kazhdan-Lusztig Atlas on G/P Advisor: Allen Knutson First Position: Postdoctoral Associate, University of Minnesota
Pak-Hin Li Thesis: A Hopf Algebra from Preprojective Modules Advisor: Allen Knutson First position: Associate, Goldman Sachs
Anwesh Ray Thesis: Lifting Reducible Galois Representations Advisor: Ravi Ramakrishna First Position: Postdoctoral Fellowship, University of British Columbia
Avery St. Dizier Thesis: Combinatorics of Schubert Polynomials Advisor: Karola Meszaros First Position: Postdoctoral Fellowship, Department of , University of Illinois at Urbana-Champaign
Shihao Xiong Thesis: Forcing Axioms For Sigma-Closed Posets And Their Consequences Advisor: Justin Moore First Position: Algorithm Developer, Hudson River Trading
Swee Hong Chan Thesis: Nonhalting abelian networks Advisor: Lionel Levine First Position: Hedrick Adjunct Assistant Professor, UCLA
Joseph Gallagher Thesis: On conjectures related to character varieties of knots and Jones polynomials Advisor: Yuri Berest First Position: Data Scientist, Capital One
Jun Le Goh Thesis: Measuring the Relative Complexity of Mathematical Constructions and Theorems Advisor: Richard Shore First Position: Van Vleck Assistant Professor, University of Wisconsin-Madison
Qi Hou Thesis: Rough Hypoellipticity for Local Weak Solutions to the Heat Equation in Dirichlet Spaces Advisor: Laurent Saloff-Coste First Position: Visiting Assistant Professor, Department of , Cornell University
Jingbo Liu Thesis: Heat kernel estimate of the Schrodinger operator in uniform domains Advisor: Laurent Saloff-Coste First Position: Data Scientist, Jet.com
Ian Pendleton Thesis: The Fundamental Group, Homology, and Cohomology of Toric Origami 4-Manifolds Advisor: Tara Holm
Amin Saied Thesis: Stable representation theory of categories and applications to families of (bi)modules over symmetric groups Advisor: Martin Kassabov First Position: Data Scientist, Microsoft
Yujia Zhai Thesis: Study of bi-parameter flag paraproducts and bi-parameter stopping-time algorithms Advisor: Camil Muscalu First Position: Postdoctoral Associate, Université de Nantes
Tair Akhmejanov Thesis: Growth Diagrams from Polygons in the Affine Grassmannian Advisor: Allen Knutson First position: Arthur J. Krener Assistant Professor, University of California, Davis
James Barnes Thesis: The Theory of the Hyperarithmetic Degrees Advisor: Richard Shore First position: Visiting Lecturer, Wellesley College
Jeffrey Bergfalk Thesis: Dimensions of ordinals: set theory, homology theory, and the first omega alephs Advisor: Justin Moore Postdoctoral Associate, UNAM - National Autonomous University of Mexico
TaoRan Chen Thesis: The Inverse Deformation Problem Advisor: Ravi Ramakrishna
Sergio Da Silva Thesis: On the Gorensteinization of Schubert varieties via boundary divisors Advisor: Allen Knutson First position: Pacific Institute for the Mathematical Sciences (PIMS) postdoctoral fellowship, University of Manitoba
Eduard Einstein Thesis: Hierarchies for relatively hyperbolic compact special cube complexes Advisor: Jason Manning First position: Research Assistant Professor (Postdoc), University of Illinois, Chicago (UIC)
Balázs Elek Thesis: Toric surfaces with Kazhdan-Lusztig atlases Advisor: Allen Knutson First position: Postdoctoral Fellow, University of Toronto
Kelsey Houston-Edwards Thesis: Discrete Heat Kernel Estimates in Inner Uniform Domains Advisor: Laurent Saloff-Coste First position: Professor of Math and Science Communication, Olin College
My Huynh Thesis: The Gromov Width of Symplectic Cuts of Symplectic Manifolds. Advisor: Tara Holm First position: Applied Mathematician, Applied Research Associates Inc., Raleigh NC.
Hossein Lamei Ramandi Thesis: On the minimality of non-σ-scattered orders Advisor: Justin Moore First position: Postdoctoral Associate at UFT (University Toronto)
Christine McMeekin Thesis: A density of ramified primes Advisor: Ravi Ramakrishna First position: Researcher at Max Planck Institute
Aliaksandr Patotski Thesis: Derived characters of Lie representations and Chern-Simons forms Advisor: Yuri Berest First position: Data Scientist, Microsoft
Ahmad Rafiqi Thesis: On dilatations of surface automorphisms Advisor: John Hubbard First position: Postdoctoral Associate, Sao Palo, Brazil
Ying-Ying Tran Thesis: Computably enumerable boolean algebras Advisor: Anil Nerode First position: Quantitative Researcher
Drew Zemke Thesis: Surfaces in Three- and Four-Dimensional Topology Advisor: Jason Manning First position: Preceptor in , Harvard University
Heung Shan Theodore Hui Thesis: A Radical Characterization of Abelian Varieties Advisor: David Zywina First position: Quantitative Researcher, Eastmore Group
Daniel Miller Thesis: Counterexamples related to the Sato–Tate conjecture Advisor: Ravi Ramakrishna First position: Data Scientist, Microsoft
Lihai Qian Thesis: Rigidity on Einstein manifolds and shrinking Ricci solitons in high dimensions Advisor: Xiaodong Cao First position: Quantitative Associate, Wells Fargo
Valente Ramirez Garcia Luna Thesis: Quadratic vector fields on the complex plane: rigidity and analytic invariants Advisor: Yulij Ilyashenko First position: Lebesgue Post-doc Fellow, Institut de Recherche Mathématique de Rennes
Iian Smythe Thesis: Set theory in infinite-dimensional vector spaces Advisor: Justin Moore First position: Hill Assistant Professor at Rutgers, the State University of New Jersey
Zhexiu Tu Thesis: Topological representations of matroids and the cd-index Advisor: Edward Swartz First position: Visiting Professor - Centre College, Kentucky
Wai-kit Yeung Thesis: Representation homology and knot contact homology Advisor: Yuri Berest First position: Zorn postdoctoral fellow, Indiana University
Lucien Clavier Thesis: Non-affine horocycle orbit closures on strata of translation surfaces: new examples Advisor: John Smillie First position: Consultant in Capital Markets, Financial Risk at Deloitte Luxembourg
Voula Collins Thesis: Crystal branching for non-Levi subgroups and a puzzle formula for the equivariant cohomology of the cotangent bundle on projective space Advisor: Allen Knutson FIrst position: Postdoctoral Associate, University of Connecticut
Pok Wai Fong Thesis: Smoothness Properties of symbols, Calderón Commutators and Generalizations Advisor: Camil Muscalu First position: Quantitative researcher, Two Sigma
Tom Kern Thesis: Nonstandard models of the weak second order theory of one successor Advisor: Anil Nerode First position: Visiting Assistant Professor, Cornell University
Robert Kesler Thesis: Unbounded multilinear multipliers adapted to large subspaces and estimates for degenerate simplex operators Advisor: Camil Muscalu First position: Postdoctoral Associate, Georgia Institute of Technology
Yao Liu Thesis: Riesz Distributions Assiciated to Dunkl Operators Advisor: Yuri Berest First position: Visiting Assistant Professor, Cornell University
Scott Messick Thesis: Continuous atomata, compactness, and Young measures Advisor: Anil Nerode First position: Start-up
Aaron Palmer Thesis: Incompressibility and Global Injectivity in Second-Gradient Non-Linear Elasticity Advisor: Timothy J. Healey First position: Postdoctoral fellow, University of British Columbia
Kristen Pueschel Thesis: On Residual Properties of Groups and Dehn Functions for Mapping Tori of Right Angled Artin Groups Advisor: Timothy Riley First position: Postdoctoral Associate, University of Arkansas
Chenxi Wu Thesis: Translation surfaces: saddle connections, triangles, and covering constructions. Advisor: John Smillie First position: Postdoctoral Associate, Max Planck Institute of
David Belanger Thesis: Sets, Models, And Proofs: Topics In The Theory Of Recursive Functions Advisor: Richard A. Shore First position: Research Fellow, National University of Singapore
Cristina Benea Thesis: Vector-Valued Extensions for Singular Bilinear Operators and Applications Advisor: Camil Muscalu First position: University of Nantes, France
Kai Fong Ernest Chong Thesis: Face Vectors and Hilbert Functions Advisor: Edward Swartz First position: Research Scientist, Agency for Science, Technology and Research, Singapore
Laura Escobar Vega Thesis: Brick Varieties and Toric Matrix Schubert Varieties Advisor: Allen Knutson First position: J. L. Doob Research Assistant Professor at UIUC
Joeun Jung Thesis: Iterated trilinear fourier integrals with arbitrary symbols Advisor: Camil Muscalu First position: Researcher, PARC (PDE and Functional Analysis Research Center) of Seoul National University
Yasemin Kara Thesis: The laplacian on hyperbolic Riemann surfaces and Maass forms Advisor: John H. Hubbard Part Time Instructor, Faculty of Engineering and Natural Sciences, Bahcesehir University
Chor Hang Lam Thesis: Homological Stability Of Diffeomorphism Groups Of 3-Manifolds Advisor: Allen Hatcher
Yash Lodha Thesis: Finiteness Properties And Piecewise Projective Homeomorphisms Advisor: Justin Moore and Timothy Riley First position: Postdoctoral fellow at Ecole Polytechnique Federale de Lausanne in Switzerland
Radoslav Zlatev Thesis: Examples of Implicitization of Hypersurfaces through Syzygies Advisor: Michael E. Stillman First position: Associate, Credit Strats, Goldman Sachs
Margarita Amchislavska Thesis: The geometry of generalized Lamplighter groups Advisor: Timothy Riley First position: Department of Defense
Hyungryul Baik Thesis: Laminations on the circle and hyperbolic geometry Advisor: John H. Hubbard First position: Postdoctoral Associate, Bonn University
Adam Bjorndahl Thesis: Language-based games Advisor: Anil Nerode and Joseph Halpern First position: Tenure Track Professor, Carnegie Mellon University Department of Philosophy
Youssef El Fassy Fihry Thesis: Graded Cherednik Algebra And Quasi-Invariant Differential Forms Advisor: Yuri Berest First position: Software Developer, Microsoft
Chikwong Fok Thesis: The Real K-theory of compact Lie groups Advisor: Reyer Sjamaar First position: Postdoctoral fellow in the National Center for Theoretical Sciences, Taiwan
Kathryn Lindsey Thesis: Families Of Dynamical Systems Associated To Translation Surfaces Advisor: John Smillie First position: Postdoctoral Associate, University of Chicago
Andrew Marshall Thesis: On configuration spaces of graphs Advisor: Allan Hatcher First position: Visiting Assistant Professor, Cornell University
Robyn Miller Thesis: Symbolic Dynamics Of Billiard Flow In Isosceles Triangles Advisor: John Smillie First position: Postdoctoral Researcher at Mind Research Network
Diana Ojeda Aristizabal Thesis: Ramsey theory and the geometry of Banach spaces Advisor: Justin Moore First position: Postdoctoral Fellow, University of Toronto
Hung Tran Thesis: Aspects of the Ricci flow Advisor: Xiaodong Cao First position: Visiting Assistant Professor, University of California at Irvine
Baris Ugurcan Thesis: LPLP-Estimates And Polyharmonic Boundary Value Problems On The Sierpinski Gasket And Gaussian Free Fields On High Dimensional Sierpinski Carpet Graphs Advisor: Robert S. Strichartz First position: Postdoctoral Fellowship, University of Western Ontario
Anna Bertiger Thesis: The Combinatorics and Geometry of the Orbits of the Symplectic Group on Flags in Complex Affine Space Advisor: Allen Knutson First position: University of Waterloo, Postdoctoral Fellow
Mariya Bessonov Thesis: Probabilistic Models for Population Dynamics Advisor: Richard Durrett First position: CUNY City Tech, Assistant Professor, Tenure Track
Igors Gorbovickis Thesis: Some Problems from Complex Dynamical Systems and Combinatorial Geometry Advisor: Yulij Ilyashenko First position: Postdoctoral Fellow, University of Toronto
Marisa Hughes Thesis: Quotients of Spheres by Linear Actions of Abelian Groups Advisor: Edward Swartz First position: Visiting Professor, Hamilton College
Kristine Jones Thesis: Generic Initial Ideals of Locally Cohen-Macaulay Space Curves Advisor: Michael E. Stillman First position: Software Developer, Microsoft
Shisen Luo Thesis: Hard Lefschetz Property of Hamiltonian GKM Manifolds Advisor: Tara Holm First position: Associate, Goldman Sachs
Peter Luthy Thesis: Bi-parameter Maximal Multilinear Operators Advisor: Camil Muscalu First position: Chauvenet Postdoctoral Lecturer at Washington University in St. Louis
Remus Radu Thesis: Topological models for hyperbolic and semi-parabolic complex Hénon maps Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Jenna Rajchgot Thesis: Compatibly Split Subvarieties of the Hilbert Scheme of Points in the Plane Advisor: Allen Knutson First position: Research member at the Mathematical Sciences Research Institute (fall 2012); postdoc at the University of Michigan
Raluca Tanase Thesis: Hénon maps, discrete groups and continuity of Julia sets Advisor: John H. Hubbard First position: Milnor Lecturer, Institute for Mathematical Sciences, Stony Brook University
Ka Yue Wong Thesis: Dixmier Algebras on Complex Classical Nilpotent Orbits and their Representation Theories Advisor: Dan M. Barbasch First position: Postdoctoral fellow at Hong Kong University of Science and Technology
Tianyi Zheng Thesis: Random walks on some classes of solvable groups Advisor: Laurent Saloff-Coste First position: Postdoctoral Associate, Stanford University
Juan Alonso Thesis: Graphs of Free Groups and their Measure Equivalence Advisor: Karen Vogtmann First position: Postdoc at Uruguay University
Jason Anema Thesis: Counting Spanning Trees on Fractal Graphs Advisor: Robert S. Strichartz First position: Visiting assistant professor of mathematics at Cornell University
Saúl Blanco Rodríguez Thesis: Shortest Path Poset of Bruhat Intervals and the Completecd-Index Advisor: Louis Billera First position: Visiting assistant professor of mathematics at DePaul University
Fatima Mahmood Thesis: Jacobi Structures and Differential Forms on Contact Quotients Advisor: Reyer Sjamaar First position: Visiting assistant professor at University of Rochester
Philipp Meerkamp Thesis: Singular Hopf Bifurcation Advisor: John M. Guckenheimer First position: Financial software engineer at Bloomberg LP
Milena Pabiniak Thesis: Hamiltonian Torus Actions in Equivariant Cohomology and Symplectic Topology Advisor: Tara Holm First position: Postdoctoral associate at the University of Toronto
Peter Samuelson Thesis: Kauffman Bracket Skein Modules and the Quantum Torus Advisor: Yuri Berest First position: Postdoctoral associate at the University of Toronto
Mihai Bailesteanu Thesis: The Heat Equation under the Ricci Flow Advisor: Xiaodong Cao First position: Visiting assistant professor at the University of Rochester
Owen Baker Thesis: The Jacobian Map on Outer Space Advisor: Karen Vogtmann First position: Postdoctoral fellow at McMaster University
Jennifer Biermann Thesis: Free Resolutions of Monomial Ideals Advisor: Irena Peeva First position: Postdoctoral fellow at Lakehead University
Mingzhong Cai Thesis: Elements of Classical Recursion Theory: Degree-Theoretic Properties and Combinatorial Properties Advisor: Richard A. Shore First position: Van Vleck visiting assistant professor at the University of Wisconsin at Madison
Ri-Xiang Chen Thesis: Hilbert Functions and Free Resolutions Advisor: Irena Peeva First position: Instructor at Shantou University in Guangdong, China
Denise Dawson Thesis: Complete Reducibility in Euclidean Twin Buildings Advisor: Kenneth S. Brown First position: Assistant professor of mathematics at Charleston Southern University
George Khachatryan Thesis: Derived Representation Schemes and Non-commutative Geometry Advisor: Yuri Berest First position: Reasoning Mind
Samuel Kolins Thesis: Face Vectors of Subdivision of Balls Advisor: Edward Swartz First position: Assistant professor at Lebanon Valley College
Victor Kostyuk Thesis: Outer Space for Two-Dimensional RAAGs and Fixed Point Sets of Finite Subgroups Advisor: Karen Vogtmann First position: Knowledge engineering at Reasoning Mind
Ho Hon Leung Thesis: K-Theory of Weight Varieties and Divided Difference Operators in Equivariant KK-Theory Advisor: Reyer Sjamaar First position: Assistant professor at the Canadian University of Dubai
Benjamin Lundell Thesis: Selmer Groups and Ranks of Hecke Rings Advisor: Ravi Ramakrishna First position: Acting assistant professor at the University of Washington
Eyvindur Ari Palsson Thesis: Lp Estimates for a Singular Integral Operator Motivated by Calderón’s Second Commutator Advisor: Camil Muscalu First position: Visiting assistant professor at the University of Rochester
Paul Shafer Thesis: On the Complexity of Mathematical Problems: Medvedev Degrees and Reverse Advisor: Richard A. Shore First position: Lecturer at Appalachian State University
Michelle Snider Thesis: Affine Patches on Positroid Varieties and Affine Pipe Dreams Advisor: Allen Knutson First position: Government consulting job in Maryland
Santi Tasena Thesis: Heat Kernel Analysis on Weighted Dirichlet Spaces Advisor: Laurent Saloff-Coste First position: Lecturer professor at Chiang Mai University, Thailand
Russ Thompson Thesis: Random Walks and Subgroup Geometry Advisor: Laurent Saloff-Coste First position: Postdoctoral fellow at the Mathematical Sciences Research Institute
Gwyneth Whieldon Thesis: Betti Numbers of Stanley-Reisner Ideals Advisor: Michael E. Stillman First position: Assistant professor of mathematics at Hood College
Andrew Cameron Thesis: Estimates for Solutions of Elliptic Partial Differential Equations with Explicit Constants and Aspects of the Finite Element Method for Second-Order Equations Advisor: Alfred H. Schatz First position: Adjunct instructor of mathematics at Tompkins Cortland Community College
Timothy Goldberg Thesis: Hamiltonian Actions in Integral Kähler and Generalized Complex Geometry Advisor: Reyer Sjamaar First position: Visiting assistant professor of mathematics at Lenoir-Rhyne University
Gregory Muller Thesis: The Projective Geometry of Differential Operators Advisor: Yuri Berest First position: Assistant professor at Louisiana State University
Matthew Noonan Thesis: Geometric Backlund transofrmation in homogeneous spaces Advisor: John H. Hubbard
Sergio Pulido Niño Thesis: Financial Markets with Short Sales Prohibition Advisor: Philip E. Protter First position: Postdoctoral associate in applied probability and finance at Carnegie Mellon University
Senior theses.
An undergraduate thesis is a singly-authored mathematics document, usually between 10 and 80 pages, on some topic in mathematics. The thesis is typically a mixture of exposition of known mathematics and an account of your own research.
To write an undergraduate thesis, you need to find a faculty advisor who will sponsor your project. The advisor will almost surely be a faculty member of the pure math department, though on occasion we have accepted theses written by people with applied math advisors. In these rare cases, the theses have been essentially pure math theses.
|
|
|
|
2010 | Alex Kruckman | The Ax-Kochen Theorem: An Application of Model Theory to Algebra | Dan Abramovich/Michael Rosen |
2010 | Thomas Lawler | On the Local Structure of Triangulation Graphs | Richard Schwartz |
2011 | Andrew Furnas | Mathematical Modeling of Woven Fabric | Govind Menon |
2011 | Eric Sporkin | Modifying the BLS Signature Scheme Using Isogenies | Reinier Broker |
2011 | Tyler K. Woodruff | Discrepancy Upper Bounds for Certain Families of Rotated Squares | Jill Pipher |
2012 | Nadejda Drenska | Representation of Periodic Data with Fourier Methods and Wavelets | Jill Pipher |
2012 | Zev Chonoles | Hermite's Theorem for Function Fields | Michael Rosen |
2013 | Kevin Casto |
| Richard Schwartz/Govind Menon |
2013 | In-Jee Jeong |
| Richward Schwartz |
2013 | Benjamin LeVeque |
| Jeffrey Hoffstein |
2013 | Lucas Mason-Brown |
| Michael Rosen |
2013 | Yilong Yang |
| Richard Schwartz |
2014 | Nicholas Lourie |
| Richard Schwartz |
2014 | Michael Thaler | Extending Conway's Tiling Groups to a Triangular Lattice with Three Deformations | Richard Schwartz |
2015 | Justin Semonsen | Factorization of Birational Maps | Dan Abramovich |
2015 | Kamron Vachiraprasith | On the Average Order of Arithmetic Functions Over Monic Square-Free Polynomials in Finite Fields | Michael Rosen |
2015 | Francis White |
| Sergei Treil |
2015 | Zijian Yao | Arakelov Theory on Arithmetic Surfaces | Stephen Lichtenbaum |
2016 | Claire Frechette |
| Melody Chan |
2018 | Collin Cademartori |
| Govind Menon |
2018 | Michael Mueller |
| Thomas Goodwillie |
2018 | Lewis Silletto |
| Richard Schwartz |
2020 | Jongyung Lee |
| Dan Abramovich |
2020 | Owen Lynch |
| Yuri Sulyma |
2021 | Alexander Bauman |
| Bena Tshishiku |
2021 | Matei P. Coiculescu |
| Richard Schwartz |
2021 | Henry Talbott |
| Richard Schwartz |
2021 | Nathan Zelesko |
| Melody Chan |
2022 | Griffin Edwards |
| Yuri Sulyma |
2022 | Dichuan David Gao |
| Justin Holmer |
2022 | Jasper Liu |
| Jeffrey Hoffstein |
2024 | Alex Feiner |
| Joseph Silveman |
2024 | Mattie Ji | Some Morse Theoretic Results on Definable Functions | Richard Schwartz |
2024 | Tyler Lane |
| Brendan Hassett |
2024 | Smita Rajan |
| Brendan Hassett |
Home > USC Columbia > Arts and Sciences > Mathematics > Mathematics Theses and Dissertations
Theses/dissertations from 2024 2024.
Erlang-Distributed SEIR Epidemic Models with Cross-Diffusion , Victoria Chebotaeva
Global Well-Posedness of Nonlocal Differential Equations Arising from Traffic Flow , Thomas Joseph Hamori
Representation Dimensions of Algebraic Tori and Symmetric Ranks of G-Lattices , Jason Bailey Heath
Modeling, Analysis, Approximation, and Application of Viscoelastic Structures and Anomalous Transport , Yiqun Li
Macro–Micro-Coupled Simulations of Bead–Spring Breaking-Reforming Networks , Andrei Medved
Generalizations of the Graham-Pollak Tree Theorem , Gabrielle Anne Tauscheck
Extreme Covering Systems, Primes Plus Squarefrees, and Lattice Points Close to a Helix , Jack Robert Dalton
On the Algebraic and Geometric Multiplicity of Zero as a Hypergraph Eigenvalue , Grant Ian Fickes
Deep Learning for Studying Materials Stability and Solving Thermodynamically Consistent PDES With Dynamic Boundary Conditions in Arbitrary Domains , Chunyan Li
Widely Digitally Delicate Brier Primes and Irreducibility Results for Some Classes of Polynomials , Thomas David Luckner
Deep Learning Methods for Some Problems in Scientific Computing , Yuankai Teng
Covering Systems and the Minimum Modulus Problem , Maria Claire Cummings
The Existence and Quantum Approximation of Optimal Pure State Ensembles , Ryan Thomas McGaha
Structure Preserving Reduced-Order Models of Hamiltonian Systems , Megan Alice McKay
Tangled up in Tanglegrams , Drew Joseph Scalzo
Results on Select Combinatorial Problems With an Extremal Nature , Stephen Smith
Poset Ramsey Numbers for Boolean Lattices , Joshua Cain Thompson
Some Properties and Applications of Spaces of Modular Forms With ETA-Multiplier , Cuyler Daniel Warnock
Simulation of Pituitary Organogenesis in Two Dimensions , Chace E. Covington
Polynomials, Primes and the PTE Problem , Joseph C. Foster
Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values , Jacob Juillerat
A Numerical Investigation of Fractional Models for Viscoelastic Materials With Applications on Concrete Subjected to Extreme Temperatures , Murray Macnamara
Trimming Complexes , Keller VandeBogert
Multiple Frailty Model for Spatially Correlated Interval-Censored , Wanfang Zhang
An Equivariant Count of Nodal Orbits in an Invariant Pencil of Conics , Candace Bethea
Finite Axiomatisability in Nilpotent Varieties , Joshua Thomas Grice
Rationality Questions and the Derived Category , Alicia Lamarche
Counting Number Fields by Discriminant , Harsh Mehta
Distance Related Graph Invariants in Triangulations and Quadrangulations of the Sphere , Trevor Vincent Olsen
Diameter of 3-Colorable Graphs and Some Remarks on the Midrange Crossing Constant , Inne Singgih
Two Inquiries Related to the Digits of Prime Numbers , Jeremiah T. Southwick
Windows and Generalized Drinfeld Kernels , Robert R. Vandermolen
Connections Between Extremal Combinatorics, Probabilistic Methods, Ricci Curvature of Graphs, and Linear Algebra , Zhiyu Wang
An Ensemble-Based Projection Method and Its Numerical Investigation , Shuai Yuan
Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem , Xiangcheng Zheng
Classification of Non-Singular Cubic Surfaces up to e-invariants , Mohammed Alabbood
On the Characteristic Polynomial of a Hypergraph , Gregory J. Clark
A Development of Transfer Entropy in Continuous-Time , Christopher David Edgar
Moving Off Collections and Their Applications, in Particular to Function Spaces , Aaron Fowlkes
Finding Resolutions of Mononomial Ideals , Hannah Melissa Kimbrell
Regression for Pooled Testing Data with Biomedical Applications , Juexin Lin
Numerical Methods for a Class of Reaction-Diffusion Equations With Free Boundaries , Shuang Liu
An Implementation of the Kapustin-Li Formula , Jessica Otis
A Nonlinear Parallel Model for Reversible Polymer Solutions in Steady and Oscillating Shear Flow , Erik Tracey Palmer
A Few Problems on the Steiner Distance and Crossing Number of Graphs , Josiah Reiswig
Successful Pressing Sequences in Simple Pseudo-Graphs , Hays Wimsatt Whitlatch
On The Generators of Quantum Dynamical Semigroups , Alexander Wiedemann
An Examination of Kinetic Monte Carlo Methods with Application to a Model of Epitaxial Growth , Dylana Ashton Wilhelm
Dynamical Entropy of Quantum Random Walks , Duncan Wright
Unconditionally Energy Stable Linear Schemes for a Two-Phase Diffuse Interface Model with Peng-Robinson Equation of State , Chenfei Zhang
Theory, Computation, and Modeling of Cancerous Systems , Sameed Ahmed
Turán Problems and Spectral Theory on Hypergraphs and Tensors , Shuliang Bai
Quick Trips: On the Oriented Diameter of Graphs , Garner Paul Cochran
Geometry of Derived Categories on Noncommutative Projective Schemes , Blake Alexander Farman
A Quest for Positive Definite Matrices over Finite Fields , Erin Patricia Hanna
Comparison of the Performance of Simple Linear Regression and Quantile Regression with Non-Normal Data: A Simulation Study , Marjorie Howard
Special Fiber Rings of Certain Height Four Gorenstein Ideals , Jaree Hudson
Graph Homomorphisms and Vector Colorings , Michael Robert Levet
Local Rings and Golod Homomorphisms , Thomas Schnibben
States and the Numerical Range in the Regular Algebra , James Patrick Sweeney
Thermodynamically Consistent Hydrodynamic Phase Field Models and Numerical Approximation for Multi-Component Compressible Viscous Fluid Mixtures , Xueping Zhao
On the Existence of Non-Free Totally Reflexive Modules , J. Cameron Atkins
Subdivision of Measures of Squares , Dylan Bates
Unconditionally Energy Stable Numerical Schemes for Hydrodynamics Coupled Fluids Systems , Alexander Yuryevich Brylev
Convergence and Rate of Convergence of Approximate Greedy-Type Algorithms , Anton Dereventsov
Covering Subsets of the Integers and a Result on Digits of Fibonacci Numbers , Wilson Andrew Harvey
Nonequispaced Fast Fourier Transform , David Hughey
Deep Learning: An Exposition , Ryan Kingery
A Family of Simple Codimension Two Singularities with Infinite Cohen-Macaulay Representation Type , Tyler Lewis
Polynomials Of Small Mahler Measure With no Newman Multiples , Spencer Victoria Saunders
On Crown-free Set Families, Diffusion State Difference, and Non-uniform Hypergraphs , Edward Lawrence Boehnlein
Structure of the Stable Marriage and Stable Roommate Problems and Applications , Joe Hidakatsu
Binary Quartic Forms over Fp , Daniel Thomas Kamenetsky
On a Constant Associated with the Prouhet-Tarry-Escott Problem , Maria E. Markovich
Some Extremal And Structural Problems In Graph Theory , Taylor Mitchell Short
Chebyshev Inversion of the Radon Transform , Jared Cameron Szi
Modeling of Structural Relaxation By A Variable-Order Fractional Differential Equation , Su Yang
Modeling, Simulation, and Applications of Fractional Partial Differential Equations , Wilson Cheung
The Packing Chromatic Number of Random d-regular Graphs , Ann Wells Clifton
Commutator Studies in Pursuit of Finite Basis Results , Nathan E. Faulkner
Avoiding Doubled Words in Strings of Symbols , Michael Lane
A Survey of the Kinetic Monte Carlo Algorithm as Applied to a Multicellular System , Michael Richard Laughlin
Toward the Combinatorial Limit Theory of free Words , Danny Rorabaugh
Trees, Partitions, and Other Combinatorial Structures , Heather Christina Smith
Fast Methods for Variable-Coefficient Peridynamic and Non-Local Diffusion Models , Che Wang
Modeling and Computations of Cellular Dynamics Using Complex-fluid Models , Jia Zhao
The Non-Existence of a Covering System with all Moduli Distinct, Large and Square-Free , Melissa Kate Bechard
Explorations in Elementary and Analytic Number Theory , Scott Michael Dunn
Independence Polynomials , Gregory Matthew Ferrin
Turán Problems on Non-uniform Hypergraphs , Jeremy Travis Johnston
On the Group of Transvections of ADE-Diagrams , Marvin Jones
Fake Real Quadratic Orders , Richard Michael Oh
Shimura Images of A Family of Half-Integral Weight Modular Forms , Kenneth Allan Brown
Sharp Bounds Associated With An Irreducibility Theorem For Polynomials Having Non-Negative Coefficients , Morgan Cole
Deducing Vertex Weights From Empirical Occupation Times , David Collins
Analysis and Processing of Irregularly Distributed Point Clouds , Kamala Hunt Diefenthaler
Generalizations of Sperner's Theorem: Packing Posets, Families Forbidding Posets, and Supersaturation , Andrew Philip Dove
Spectral Analysis of Randomly Generated Networks With Prescribed Degree Sequences , Clifford Davis Gaddy
Selected Research In Covering Systems of the Integers and the Factorization of Polynomials , Joshua Harrington
The Weierstrass Approximation Theorem , LaRita Barnwell Hipp
Advanced Search
Home | About | FAQ | My Account | Accessibility Statement
Privacy Copyright
Maqrm .
2024 | Gonzalez, Daniel | Analysis of the Noether Normalization Lemma in Atiyah and MacDonald and a Constructive Proof | Ivo Herzog |
2023 | Zhang, Siqi | Ban, Chunsheng | |
2020 | Hu, Tengmu | Ban, Chunsheng | |
2020 | Zhao, Chen | Ban, Chunsheng | |
2019 | Wang, Guanqian | Ban, Chunsheng |
2021 | Alvarado, Chance | Tien, Joseph & Rempala, Grzegorz | |
2021 | Lee, Russell | Lou, Yuan | |
2021 | Teria, Rodney | Best, Janet | |
2020 | de Oliveira, Ebenezer | Tanveer, Saleh | |
2020 | Marrero Garcia, Hilary | Best, Janet | |
2020 | Wood, Emily | Lou, Yuan | |
2019 | Lumpkin, Robert | Terman, David | |
2018 | Rizvi, Faiz | Best, Janet | |
2017 | Del Negro Skeehan, Willa | Tien, Joseph | |
2017 | Hamida, Youcef | Lou, Yuan | |
2017 | Helba, Johanna | Tien, Joseph | |
2017 | Huynh, Linh | Best, Janet | |
2017 | Plourde, Shayne | Dawes, Adriana | |
2017 | Senel, Gunes | Overman, Ed & Xue, Chuan | |
2016 | Henry, John | Friedman, Avner | |
2016 | Martinez-Soto, Eduan | Tien, Joseph | |
2016 | Rodriguez, Evelyn | Best, Janet | |
2016 | Toy, Jonathan | Xue, Chuan | |
2016 | Williamson, Carly | Dawes, Adriana | |
2015 | Anderson, Kerri-Ann | Chou, Ching-Shan | |
2015 | Feldges, Robert | Friedman, Avner | |
2015 | Foss, Susan | Xue, Chuan | |
2015 | Glover, Catherine | Tien, Joseph | |
2015 | Kim, Jiae | Friedman, Avner | |
2015 | Wagh, Niraj | Dawes, Adriana | |
2014 | Deger, Kristen | Tien, Joseph | |
2014 | Kravtsova, Natalia | Dawes, Adriana | |
2014 | Pritchard, Adaleigh | Xue, Chuan | |
2013 | Batty, Christopher | Tien, Joseph | |
2013 | Durney, Clinton | Xue, Chuan | |
2013 | Ford, Mauntell | Friedman, Avner | |
2013 | Kinderknecht, Kelsy | Best, Janet | |
2013 | Narayan, Monisha | Chou, Ching-Shan | |
2013 | Smith, Heather | Lou, Yuan | |
2012 | Brostoff, Noah | Tien, Joseph | |
2012 | Campbell, Leah | Best, Janet | |
2012 | Frank, Kyle | Friedman, Avner | |
2012 | Udiani, Oyita | Lou, Yuan | |
2011 | Bokides, Dessa | Lou, Yuan | |
2011 | Dunworth, Jeffrey | Tien, Joseph | |
2011 | Park, Suh Yeong | Tien, Joseph | |
2011 | Pirc, Alycia | Best, Janet | |
2011 | Williams, Katherine | Friedman, Avner | |
2011 | Young, Alexander | Friedman, Avner |
2021 | Brown, Hannah | Data Driven Modeling of Dynamics | Xiu, Dongbin |
2021 | Hunter, Joseph | Xing, Yulong | |
2021 | Mussmann, Thomas | Xiu, Dongbin | |
2020 | Chen, Yidi | Xing, Yulong | |
2020 | Gomez-Leos, Enrique | Bergelson, Vitaly & Johnson, John | |
2020 | Lu, Tien-hsin | Mixon, Dustin | |
2019 | Caldwell, Mark | Terman, David | |
2019 | Hance, Elizabeth | Xue, Chuan | |
2019 | Slover, Nichole | Lou, Yuan | |
2019 | Yin, Ying | Memoli, Facundo | |
2019 | Zha, Xiao | Memoli, Facundo | |
2018 | Pineda, Gerwin | Hiary, Ghaith | |
2017 | Elchesen, Alexander | Memoli, Roberto Facundo | |
2017 | Guzman Roca, Juan | Overman, Edward | |
2017 | Hall, Brenton | Chou, Ching-Shan | |
2017 | Neidecker, Peter | Dey, Tamal | |
2017 | O'Neal, Jared | Overman, Edward | |
2017 | Lee, Ray | Terman, David | |
2017 | Sterle, Lance | Ban, Chunsheng | |
2017 | Sutherland, James | Overman, Edward | |
2016 | Wood, Dylan | Overman, Edward & Kubatko, Ethan | |
2015 | Drag, Melvyn | Overman, Edward & Sotomayor, Marcus | |
2014 | Russell, Mary | Baker, Gregory | |
2014 | Yu, Jing | Baker, Gregory |
2021 | Kronick, Zac | Stan, Aurel | |
2020 | Buie-Collard, Geoffrey | Costin, Rodica & Battista, Michael | |
2020 | Bushman, Nathan | Cogdell, James | |
2020 | Jiang, Qitong | Fowler, James | |
2019 | Gray, Erin | Costin, Rodica | |
2018 | Bedich, Joseph | Kahle, Matthew | |
2018 | Smith, John Matthew | Costin, Rodica | |
2017 | Antonides, Joseph | Fowler, James | |
2017 | Bergen, Sarah | Costin, Rodica | |
2017 | Cutforth, Alissa | Fowler, James | |
2017 | Kish, David | Costin, Rodica | |
2017 | Miller, Jacob | Chmutov, Sergei | |
2016 | Abu-Arish, Hiba | Costin, Rodica | |
2016 | Bowers, David | Clemens, Charles | |
2016 | Koch, Philip | Koenig, Kenneth | |
2016 | Lu, Yaomingxin | Costin, Rodica & Battista, Michael | |
2016 | Wheeler, Jessica | Costin, Rodica | |
2015 | Brady, Ann Lisa | Costin, Rodica | |
2015 | Cox, Raymond | Clemens, Charles | |
2015 | Kosek, Amy | Cogdell, James | |
2015 | Lampard Koch, Ayla | Costin, Rodica | |
2015 | Rhollans, Mary | Costin, Rodica | |
2014 | Kashner, Daniel | Costin, Rodica | |
2014 | Lindberg, David | Costin, Rodica | |
2014 | Margraff, Aaron | Cogdell, James | |
2013 | Bond, Jacob | Sinnott, Warren | |
2013 | Duke, Helene | Snapp, Bart | |
2013 | Schuda Stout, Deborah | Snapp, Bart | |
2013 | Turner, Charity | Clemens, Charles | |
2013 | Turner, Jacob | Cogdell, James | |
2012 | DeSouza, Chelsea | Costin, Rodica & Clemens, Charles | |
2012 | Hoehner, Steven | Clemens, Charles | |
2012 | Tussing, Timothy | Snapp, Bart |
2020 | Brauer, Ethan | Miller, Christopher | |
2020 | Dalglish, Steven | Miller, Christopher | |
2020 | Sultan, Sami | Ogle, Crichton | |
2019 | Foroughi Pour, Ali | Rempala, Grzegorz | |
2019 | Khandelwal, Vasudha | Ban, Chunsheng | |
2018 | Gegner, Ethan | Leibman, Alexander | |
2017 | Hosny, Sameh | Hiary, Ghaith | |
2017 | Zhao, Lin | Hiary, Ghaith | |
2016 | Yang, Fan | Miller, Christopher | |
2015 | Chen, Huachen | Cogdell, James | |
2015 | He, Zhuang | Tseng, Hsian-Hua | |
2014 | Kosek, Peter | Kahle, Matthew | |
2013 | Reeder, Patrick | Sinnott, Warren | |
2013 | Reiner-Roth, Griffin | Costin, Rodica | |
2012 | Ward, Peter | Costin, Rodica | |
2010 | Florio, Salvatore | Friedman, Harvey | |
2010 | Taliotis, Anastasios | Gerlach, Ulrich | |
2008 | Berry, Tyrus | Pittel, Boris | |
2008 | Maceli, Peter | Carlson, Timothy | |
2008 | Siebert, Kitzeln | Edgar, Gerald | |
2008 | Volynin, Ilya | Leibman, Alexander |
The PhD Program The Ph.D. program of the Harvard Department of Mathematics is designed to help motivated students develop their understanding and enjoyment of mathematics. Enjoyment and understanding of the subject, as well as enthusiasm in teaching it, are greater when one is actively thinking about mathematics in one’s own way. For this reason, a Ph.D. dissertation involving some original research is a fundamental part of the program. The stages in this program may be described as follows:
Students are expected to take the initiative in pacing themselves through the Ph.D. program. In theory, a future research mathematician should be able to go through all three stages with the help of only a good library. In practice, many of the more subtle aspects of mathematics, such as a sense of taste or relative importance and feeling for a particular subject, are primarily communicated by personal contact. In addition, it is not at all trivial to find one’s way through the ever-burgeoning literature of mathematics, and one can go through the stages outlined above with much less lost motion if one has some access to a group of older and more experienced mathematicians who can guide one’s reading, supplement it with seminars and courses, and evaluate one’s first attempts at research. The presence of other graduate students of comparable ability and level of enthusiasm is also very helpful.
University Requirements
The University requires a minimum of two years of academic residence (16 half-courses) for the Ph.D. degree. On the other hand, five years in residence is the maximum usually allowed by the department. Most students complete the Ph.D. in four or five years. Please review the program requirements timeline .
There is no prescribed set of course requirements, but students are required to register and enroll in four courses each term to maintain full-time status with the Harvard Kenneth C. Griffin Graduate School of Arts and Sciences.
Qualifying Exam
The department gives the qualifying examination at the beginning of the fall and spring terms. The qualifying examination covers algebra, algebraic geometry, algebraic topology, complex analysis, differential geometry, and real analysis. Students are required to take the exam at the beginning of the first term. More details about the qualifying exams can be found here .
Students are expected to pass the qualifying exam before the end of their second year. After passing the qualifying exam students are expected to find a Ph.D. dissertation advisor.
Minor Thesis
The minor thesis is complementary to the qualifying exam. In the course of mathematical research, students will inevitably encounter areas in which they have gaps in knowledge. The minor thesis is an exercise in confronting those gaps to learn what is necessary to understand a specific area of math. Students choose a topic outside their area of expertise and, working independently, learns it well and produces a written exposition of the subject.
The topic is selected in consultation with a faculty member, other than the student’s Ph.D. dissertation advisor, chosen by the student. The topic should not be in the area of the student’s Ph.D. dissertation. For example, students working in number theory might do a minor thesis in analysis or geometry. At the end of three weeks time (four if teaching), students submit to the faculty member a written account of the subject and are prepared to answer questions on the topic.
The minor thesis must be completed before the start of the third year in residence.
Language Exam
Mathematics is an international subject in which the principal languages are English, French, German, and Russian. Almost all important work is published in one of these four languages. Accordingly, students are required to demonstrate the ability to read mathematics in French, German, or Russian by passing a two-hour, written language examination. Students are asked to translate one page of mathematics into English with the help of a dictionary. Students may request to substitute the Italian language exam if it is relevant to their area of mathematics. The language requirement should be fulfilled by the end of the second year. For more information on the graduate program requirements, a timeline can be viewed at here .
Non-native English speakers who have received a Bachelor’s degree in mathematics from an institution where classes are taught in a language other than English may request to waive the language requirement.
Upon completion of the language exam and eight upper-level math courses, students can apply for a continuing Master’s Degree.
Teaching Requirement
Most research mathematicians are also university teachers. In preparation for this role, all students are required to participate in the department’s teaching apprenticeship program and to complete two semesters of classroom teaching experience, usually as a teaching fellow. During the teaching apprenticeship, students are paired with a member of the department’s teaching staff. Students attend some of the advisor’s classes and then prepare (with help) and present their own class, which will be videotaped. Apprentices will receive feedback both from the advisor and from members of the class.
Teaching fellows are responsible for teaching calculus to a class of about 25 undergraduates. They meet with their class three hours a week. They have a course assistant (an advanced undergraduate) to grade homework and to take a weekly problem session. Usually, there are several classes following the same syllabus and with common exams. A course head (a member of the department teaching staff) coordinates the various classes following the same syllabus and is available to advise teaching fellows. Other teaching options are available: graduate course assistantships for advanced math courses and tutorials for advanced undergraduate math concentrators.
Final Stages
How students proceed through the second and third stages of the program varies considerably among individuals. While preparing for the qualifying examination or immediately after, students should begin taking more advanced courses to help with choosing a field of specialization. Unless prepared to work independently, students should choose a field that falls within the interests of a member of the faculty who is willing to serve as dissertation advisor. Members of the faculty vary in the way that they go about dissertation supervision; some faculty members expect more initiative and independence than others and some variation in how busy they are with current advisees. Students should consider their own advising needs as well as the faculty member’s field when choosing an advisor. Students must take the initiative to ask a professor if she or he will act as a dissertation advisor. Students having difficulty deciding under whom to work, may want to spend a term reading under the direction of two or more faculty members simultaneously. The sooner students choose an advisor, the sooner they can begin research. Students should have a provisional advisor by the second year.
It is important to keep in mind that there is no technique for teaching students to have ideas. All that faculty can do is to provide an ambiance in which one’s nascent abilities and insights can blossom. Ph.D. dissertations vary enormously in quality, from hard exercises to highly original advances. Many good research mathematicians begin very slowly, and their dissertations and first few papers could be of minor interest. The ideal attitude is: (1) a love of the subject for its own sake, accompanied by inquisitiveness about things which aren’t known; and (2) a somewhat fatalistic attitude concerning “creative ability” and recognition that hard work is, in the end, much more important.
Columbia University | |
Department of Mathematics | |
Recent Doctoral Theses | |
× SO and the Waldspurger formula -type and Rallis inner product formula × Δ |
By Issue Date Authors Titles Subjects Publication Type Sponsor Supervisors
Search within this Collection:
This collection contains a selection of the latest doctoral theses completed at the School of Mathematics. Please note this is not a comprehensive record.
This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
Clustering of single-cell rna sequencing datasets with the hierarchical dirichlet process , efficient monte carlo methods for bayesian state-space model inference , well-posedness of nonlinear schrödinger equations from deterministic and probabilistic viewpoints , applications and improvements of the adaptive large neighbourhood search , lᵖ boundary value problems for elliptic and parabolic operators , twistor theory and its applications in asymptotically flat spacetimes , theory and simulation of interacting particle systems and mckean-vlasov processes: the super measure class, ergodicity, and weak error , spencer cohomology, supersymmetry and the structure of killing superalgebras , higher triangulated categories and fourier-mukai transforms on abelian surfaces and threefolds , investigating computer aided assessment of mathematical proof by varying the format of students' answers and the structure of assessment design by stack , estimation and application of bayesian hawkes process models , novel statistical learning approaches for open banking-type data , statistical and machine learning approaches to genomic medicine , using markov chain monte carlo in vector generalized linear mixed models: with an application to integral projection models in ecology , symmetries of riemann surfaces and magnetic monopoles , kan extensions in probability theory , regression analysis for extreme value responses and covariates , categorical torelli theorems for fano threefolds , laplacians for structure recovery on directed and higher-order graphs , efficient interior point algorithms for large scale convex optimization problems .
Author/Title | Research Type | Related Fields |
---|---|---|
, |
A thesis is a more ambitious undertaking than a project. Most thesis writers within Applied Mathematics spend two semesters on their thesis work, beginning in the fall of senior year. Students typically enroll in Applied Mathematics 91r or 99r (or Economics 985, if appropriate) during each semester of their senior year. AM 99r is graded on a satisfactory/unsatisfactory basis. Some concentrators will have completed their programs of study before beginning a thesis; in situations where this is necessary, students may take AM 91r for letter-graded credit, for inclusion in Breadth section (v) of the plan of study. In the spring semester, the thesis itself may serve as the substantial paper on which the letter grade is based. Econ 985 is also letter-graded, and may be included in the Breadth section of the plan of study in place of AM 91r.
Another, somewhat uncommon option, is that a project that meets the honors modeling requirement (either through Applied Mathematics 115 or 91r) can be extended to a thesis with about one semester of work. Obviously the more time that is spent on the thesis, the more substantial the outcome, but students are encouraged to write a thesis in whatever time they have. It is an invaluable academic experience.
The thesis should make substantive use of mathematical, statistical or computational modeling, though the level of sophistication will vary as appropriate to the particular problem context. It is expected that conscientious attention will be paid to the explanatory power of mathematical modeling of the phenomena under study, going beyond data analysis to work to elucidate questions of mechanism and causation rather than mere correlation. Models should be designed to yield both understanding and testable predictions. A thesis with a suitable modeling component will automatically satisfy the English honors modeling requirement; however a thesis won't satisfy modeling Breadth section (v) unless the student also takes AM 91r or Econ 985.
Economics 985 thesis seminars are reserved for students who are writing on an economics topic. These seminars are full courses for letter-graded credit which involve additional activities beyond preparation of a thesis. They are open to Applied Mathematics concentrators with suitable background and interests.
Students wishing to enroll in AM 99r or 91r should follow the application instructions on my.harvard.
The timeline below is for students graduating in May. The thesis deadline for May 2025 graduates is Friday, March 28, 2025 at 2:00PM. For off-cycle students, a similar timeline applies, offset by one semester. The thesis due date for March 2025 graduates is Friday, November 22, 2024 at 2:00PM. Late theses are not accepted.
Students often find a thesis supervisor by this time, and work with their supervisor to identify a thesis problem. Students may enroll in Econ 985 (strongly recommended when relevant), AM 91r, or AM 99r to block out space in their schedule for the thesis.
All fourth year concentrators are contacted by the Office of Academic Programs. Those planning to submit a senior thesis are requested to supply certain information. This is the first formal interaction with the concentration about the thesis.
A tentative thesis title approved by the thesis supervisor is required by the concentration.
The student should provide the name and contact information for a recommended second reader, together with assurance that this individual has agreed to serve. Thesis readers are expected to be teaching faculty members of the Faculty of Arts and Sciences or SEAS. Exceptions to this requirement must be first approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies. For AM/Economics students writing a thesis on a mathematical economics topic for the March thesis deadline, the second reader will be chosen by the Economics Department. For AM/Economics students writing for the November deadline, the student should recommend the second reader.
Thesis due at 2pm. Late theses are not accepted. Electronic copies in PDF format should be delivered by the student to the two readers and to [email protected] (which will forward to the Directors of Undergraduate Studies, Associate and Assistant Director of Undergraduate Studies) on or before that date and time. An electronic copy should also be submitted via the SEAS online submission tool on or before that date. SEAS will keep this electronic copy as a non-circulating backup and will use it to print a physical copy of the thesis to be deposited in the Harvard University Archives. During this online submission process, the student will also have the option to make the electronic copy publicly available via DASH, Harvard’s open-access repository for scholarly work.
Contemporaneously, the two readers will receive a rating sheet to be returned to the Office of Academic Programs before the beginning of the Reading Period, together with their copy of the thesis and any remarks to be transmitted to the student.
The Office of Academic Programs will send readers' comments to the student in late May, after the degree meeting to decide honors recommendations.
The thesis is evaluated by two readers, whose roles are further delineated below. The first reader is the thesis adviser. The second and reader is recommended by the student and adviser, who should secure the agreement of the individual concerned to serve in this capacity. The reader must be approved by the Directors, Associate Director, or Assistant Director of Undergraduate Studies. The second reader is normally are teaching members of the Faculty of Arts and Sciences, but other faculty members or comparable professionals will usually be approved, after being apprised of the responsibilities they are assuming. For theses in mathematical economics, the choice of the second reader is made in cooperation with the Economics department. The student and thesis adviser will be notified of the designated second reader by mid-March.
The roles of the thesis adviser and of the outside reader are somewhat different. Ideally, the adviser is a collaborator and the outside reader is an informed critics. It is customary for the adviser's report to comment not only on the document itself but also on the background and context of the entire effort, elucidating the overall accomplishments of the student. The supervisor may choose to comment on a draft of the thesis before the final document is submitted, time permitting. The outside reader is being asked to evaluate the thesis actually produced, as a prospective scientific contribution — both as to content and presentation. The reader may choose to discuss their evaluation with the student, after the fact, should that prove to be mutually convenient.
The thesis should contain an informative abstract separate from the body of the thesis. At the degree meeting, the Committee on Undergraduate Studies in Applied Mathematics will review the thesis, the reports from the two readers and the student’s academic record. The readers (and student) are told to assume that the Committee consists of technical professionals who are not necessarily conversant with the subject matter of the thesis so their reports should reflect this audience.
The length of the thesis should be as long as it needs to be to make the arguments made, but no longer!
The most recent thesis examples across all of SEAS can be found on the Harvard DASH (Digital Access to Scholarship at Harvard) repository . Search the FAS Theses and Dissertations collection for "applied mathematics" to find dozens of examples.
Note: Additional samples of old theses can be found in McKay Library. Theses awarded Hoopes' Prizes can be found in Lamont Library.
Theses submitted in 2024.
| |
Arpit Bhate | From the Periphery to Power The Impact of the Election of Underrepresented Groups to the Indian Government |
Dominik Bohnet Zurcher | Pick Me: Reducing Wastefulness in the Random Serial Dictatorship Mechanism |
William Cooper | Analysis of the Harvard Computer Society Email Archives: An Exploration of Differential Privacy in Practice |
Luca D'Amico-Wong | Disrupting Bipartite Trading Networks: Matching for Revenue Maximization |
Terry Emeigh | An Electrifying Framework for the Future of Transport Optimizing Electric Vehicle Charging Infrastructure for Enhanced Adoption |
Julia Gavel | Echoes of an Empire: Mortality in the Former Soviet Union Since the Mid-1990s |
Alexander Glynn | Leveraging Latent Spaces for Fair Results in Vector Database Image Retrieval |
Benjamin Hartvigsen | A Physics-Oriented Approach to the Classification of Extreme Weather Events |
Ashley Herrera | Expanding Heterogeneous Factors Deemed Important: Revisiting the Impact of Microfinance on Businesses |
Maeve Humphrey | Predictive Models for Pediatric Cardiac Surgery Outcomes Comparing Regressions and Augmented Data Models |
Lawrence Jia | Main Street Monetary Policy: The Implications of Business and Consumer Sentiment for the Federal Reserve |
Sara Kapoor | Old Comedy through New Lenses A Computational Study of Personal Satire in Aristophanes |
Naomi Kenyatta | The Rise of Corporate Social Advocacy: A Study of Fortune 500 Companies from 1980 to 2022 |
Madeline Kitch | Regulating Polluting Monopolies from an Equity-Efficiency Perspective |
Patrick McDonald | Geometric Methods for Quantitative Analysis of Romance Languages |
Alex Min | Safety in Numbers? Evidence on the Relationship Between Crime and Mobility from American Cities During the COVID-19 Pandemic |
Elliott Mokski | Preaching to the Choir: An AI-Based Analysis of Religious Demand in U.S. Church Sermons, 2000-2023 |
Xavier Morales | Moving Together: Understanding Collective Ant Behavior through an Agent-Based Model of Pheromone Dynamics |
Hari Narayanan | Classifying Ragams in Carnatic Music with Machine Learning Models: A Shazam for South Indian Classical Music |
Lily Nguyen | The Debt-Inflation Dance The Relationship Between Unexpected Government Debt Increases and Inflation |
Taryn O'Connor | Pricing in the Polls: How Expected Election Outcomes Drive Asset Price Reactions in Advanced and Emerging Market Economies |
Lillian Petersen | Understanding Transcription Factor Activation and Repression Strength with Protein Language Models |
Mark Polk | Mathematical Analysis of Molecular Hypotheses for Clinical Variation in Sickle Cell Disease |
Ben Ray | Improving Microestimates of Poverty from Satellite Images |
Sterling Rosado | Redefining Urban Accessibility: Miami's Path to the 15-Minute City (FMC) |
Emma Salafsky | Exploring the Role of Kazald2 in Axolotl Limb Regeneration through Computational Approaches |
Santiago Saldivar | From Community to Commencement: Analyzing the Correlation between Social Capital Variables and Graduation Rates among United States High Schools |
Bridget Sands | A Whole New Ballgame: Evaluating the Effects of Major League Baseball’s 2023 New Rules Using Statistical Modeling |
Janani Sekar | The Real Burnout: The Effects of Climate Change and Particulate Air Matter Pollution on K-12 Education |
Lauren Shen | How Badly Do You Want Me In-Office? Putting a Dollar Value on Alternative Work Arrangements for Recent College Graduates |
Ostap Stefak | The Kremlin’s Conundrum: Telegram as Russia’s Information Battlefield |
Alexander Sullivan | Rowing Against the Wind: An Analysis of the Impact of Variable Wind Conditions on Current and Prospective Rowing Selection Methods |
Nathan Sun | On Arbitrage in Single- and Multi-token Uniswap Markets |
Matti Tan | Top to Bottom: Best-case Standard Errors for Calibrated Model Parameters |
Andrew Van Camp | A Novel Mechanism of Killing Antibiotic-Resistant Enterococci |
Grace Wang | Yours, Mine, and Ours: The Effects of Post-2011 School Finance Reforms on Student Outcomes and the Redistribution of K-12 Education Funding |
Akhila Yalvigi | Electing Justice: The Role of Ideology in the Dynamics of Judicial Elections |
Meiyi Yan | To Go or Not to Go: A Quantitative Gendered Analysis of Health, Subjective Socioeconomic Status, and Well-Being Outcomes Among Rural-to-Urban Migrants in China |
Charlie Yang | Learning Through Stories: Tracing the Origins and Intergenerational Impact of Educational Themes in Folklore |
Owen Berger | The Role of Vision in Single-Leg Balance |
Ishan Bhatt | Yes, Literally, In My Backyard: The Effect of “Gently” Upzoning Single-Family Neighborhoods |
Natalka Bowley | The Efects of the Russo-Ukrainian War on Moral and Civic Values |
Georgia Bradley | Converging in Crisis: The International Impact of Europe’s Energy Crisis on Natural Gas Prices |
Garyk Brixi | Fine-tuning Protein Language Models to Identify Interaction Sites Enables Binder Design from Sequence |
Matej Cerman | Opportunity or Desperation: Investigating the COVID-19 Surge in Business Creation |
Elise Chenevey | Houston, We Have Profits: Analyzing Venture Capital Investment in the Space Technology Industry |
George Crowne | From Urban Form to Friending Bias: Testing Jane Jacobs’ Hypotheses |
Jackson Delgado | Optimal Pitch Selection Policies Via Markov Decision Processes |
Connor Dowd | ClustHP: An Unsupervised Learning Pipeline for the Homoplasy Scoring of Single Nucleotide Variants |
Vineet Gangireddy | A Computational Approach to Recontextualization in Human Reading Behavior |
Max Garrity-Janger | Pangenome Alignment: An Improved Method to Accurately Map Telomeric Long-Reads and Its Application in the Analysis of Alternative Lengthening of Telomeres (ALT) Positive Cells |
Eric Hansen | Rising Rents: Forecasting Housing Inflation at the Metropolitan Level |
Jean-Luc Henraux | Mixed Ownership and Alternatives to Privatization in India |
Shai Hirschl | The Migration Response to Uneven Policy Shocks: Evidence from China’s 2014 Hukou Reforms |
Alison Hu | Does Going Green Pay Dividends? The Impact of Firm Climate-Related Disclosures on Institutional Investor Behavior |
Alexa Jacques | Athlete Rankings: An Analysis of Elite Women’s Cyclists |
Nicholas Lauer | Birdie or Bogey? How Golf Course Construction Affects Surrounding Home Values |
Bonnie Liu | Diversionary Media: Autocrat’s Political Stabilization Tool During Political Unrest |
Brian Magdaleno | Virtual Studio Technology Development Through Fourier Transformation and Temporal Profile Analysis of Electric Guitar |
Sofia Martinez | Predicting the Observability of Putative Central Black Holes in the JWST z ∼ 10 Galaxies |
Lewis McAllister | Trading away the Future? The Winner’s Curse and Overconfidence in Major League Baseball |
Kalyan Palepu | Design of Peptide-Based Protein Degraders via Contrastive Deep Learning |
Isha Puri | Beyond Machine Learning Accuracy: Shifting Paradigms of Neural Network Explainability and Reasoning |
Martin Reyes Holguin | Extracting Latent Asset Pricing Factors from Open-Source Portfolio Returns |
Abigail Romero | Policy and Violence in Mexico |
Leo Saenger | Respect Your Elders? The Economic Origins and Political Consequences of Attitudes Toward the Aged |
Julian Schmitt | A Forest for the Trees: Using Random Forests for Small Area Estimation on US Forest Inventory Data |
Rohan Sheth | Pick Six: Estimating the Return to School Selection for Elite College Football Recruits |
Ben Stern | Bringing the Heat: Predicting the Pass Rush and Quantifying Pressure in NFL Football |
Lucas Szwarcberg | Leveraged Landlords: Life-Cycle Portfolio Choice With Rental Properties, Mortgages, and Margin Calls |
Brandon Tang | Differentiating Human and Machine Intelligence with Contextualized Embeddings |
Aurash Vatan | Acts of God and Government: Evidence for Charitable Crowd-Out from Natural Disasters and Government Spending |
Hana Wakamatsu | Join the (Climate) Club: A Game-Theoretic Analysis of Membership Incentives |
Jessica Wu | Valuing Private Reproductive Healthcare Policies: Evidence from a Survey Experiment |
Lauren Yang | The Promise and Hazards of Armed Self-Protection: Analyzing the Racial and Gender Implications of Justifiable Homicide and the Effects of ‘Stand Your Ground’ Laws |
Can Yesildere | Speaking Like The State: Political Economy of Language Planning in Turkey |
David Zhang | Combatting Collusion Between Reinforcement Learning Agents in Electricity Markets |
Vera Zhou | Americans Changed How They Drive, Yet Gas Tax Regressivity Remained (Mostly) Stable: A Study on How Evolving Relationships of Mileage and MPG with Income Influenced Gasoline Tax Regressivity in America between 1977 and 2017 |
Senior A.B. theses are submitted to SEAS and made accessible via the Harvard University Archives and optionally via DASH (Digital Access to Scholarship at Harvard), Harvard's open-access repository for scholarly work.
In addition to submitting to the department and thesis advisors & readers, each SEAS senior thesis writer will use an online submission system to submit an electronic copy of their senior thesis to SEAS; this electronic copy will be kept at SEAS as a non-circulating backup. Please note that the thesis won't be published until close to or after the degree date. During this submission process, the student will also have the option to make the electronic copy publicly available via DASH. Basic document information (e.g., author name, thesis title, degree date, abstract) will also be collected via the submission system; this document information will be available in HOLLIS , the Harvard Library catalog, and DASH (though the thesis itself will be available in DASH only if the student opts to allow this). Students can also make code or data for senior thesis work available. They can do this by posting the data to the Harvard Dataverse or including the code as a supplementary file in the DASH repository when submitting their thesis in the SEAS online submission system.
Whether or not a student opts to make the thesis available through DASH, SEAS will provide an electronic record copy of the thesis to the Harvard University Archives. The Archives may make this record copy of the thesis accessible to researchers in the Archives reading room via a secure workstation or by providing a paper copy for use only in the reading room. Per University policy , for a period of five years after the acceptance of a thesis, the Archives will require an author’s written permission before permitting researchers to create or request a copy of any thesis in whole or in part. Students who wish to place additional restrictions on the record copy in the Archives must contact the Archives directly, independent of the online submission system.
Students interested in commercializing ideas in their theses may wish to consult Dr. Fawwaz Habbal , Senior Lecturer on Applied Physics, about patent protection. See Harvard's policy for information about ownership of software written as part of academic work.
IMAGES
VIDEO
COMMENTS
A senior thesis is required by the Mathematics concentration to be a candidate for graduation with the distinction of High or Highest honors in Mathematics. See the document ' Honors in Mathematics ' for more information about honors recommendations and about finding a topic and advisor for your thesis. With regards to topics and advisors ...
bio-mathematics: introduction to the mathematical model of the hepatitis c virus, lucille j. durfee. pdf. analysis and synthesis of the literature regarding active and direct instruction and their promotion of flexible thinking in mathematics, genelle elizabeth gonzalez. pdf. life expectancy, ali r. hassanzadah. pdf
A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991. 2024. Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits
Advice on Writing a Senior Thesis. Harvard University Mathematics Department. Last update: March 2017. This document contains advice from students who wrote a senior thesis, and from faculty involved in the senior thesis process, from advising to reading theses and examining students on them. Advice from students.
The Senior Thesis in Mathematical Sciences course allows students to engage in independent mathematical work in an active and modern subject area of the mathematical sciences, guided by an official research faculty member in the department of mathematics and culminating in a written thesis presented in an appropriate public forum.
2023 Qingci An (F. Lu)Identifiability and data-adaptive RKHS Tikhonov regularization in nonparametric learning problems Letian Chen (J. Bernstein)On Mean Curvature Flows coming out of Cones Ben Dees (C. Mese)On the Singular Sets of Harmonic Maps into F-Connected Complexes Lili He (H. Lindblad)The linear stability of weakly charged and slowly rotating Kerr Newman family of charged black holes ...
Theses/Dissertations from 2020. Mathematical Identities of Students with Mathematics Learning Dis/abilities, Emma Lynn Holdaway. Teachers' Mathematical Meanings: Decisions for Teaching Geometric Reflections and Orientation of Figures, Porter Peterson Nielsen. Student Use of Mathematical Content Knowledge During Proof Production, Chelsey Lynn ...
Harvard University. Department of Mathematics. Science Center Room 325. 1 Oxford Street. Cambridge, MA 02138 USA. Tel: (617) 495-2171 Fax: (617) 495-5132. Department Main Office Contact. Digital Accessibility. Legacy Department of Mathematics Website.
PhD Theses 2022. Author. Title. James Petrie. Decentralized contact tracing protocols and a risk analysis approach to pandemic control. Yiming Meng. Bifurcation and Robust Control of Instabilities in the Presence of Uncertainties. Mana Donganont. Consensus Problems in Hybrid Multi-Agent Systems.
Master's Theses 2022. Author. Title. Funmilayo Adeku. Sensitivity of the Thermal Structure and Circulation Patterns of a Simple Idealized Lake and Lake Erie to External Driving Forces. Darian McLaren. On the evaluation of quantum instruments with a consideration to measurements in trapped ion systems. Oluyemi Momoiyioluwa.
To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times. Find below a list of PhD theses completed in our program since 1952. (Additionally, search Ohio State at Math Genealogy, which also includes some theses from other OSU departments.)
2024. Emily Dautenhahn. Thesis: Heat kernel estimates on glued spaces. Advisor: Laurent Saloff-Coste. First Position: Assistant Professor at Murray State University. Elena Hafner. Thesis: Combinatorics of Vexillary Grothendieck Polynomials. Advisor: Karola Meszaros. First Position: NSF Postdoctoral Fellow,, at University of Washington.
Senior Theses. An undergraduate thesis is a singly-authored mathematics document, usually between 10 and 80 pages, on some topic in mathematics. The thesis is typically a mixture of exposition of known mathematics and an account of your own research. To write an undergraduate thesis, you need to find a faculty advisor who will sponsor your project.
Theses/Dissertations from 2021. PDF. Simulation of Pituitary Organogenesis in Two Dimensions, Chace E. Covington. PDF. Polynomials, Primes and the PTE Problem, Joseph C. Foster. PDF. Widely Digitally Stable Numbers and Irreducibility Criteria For Polynomials With Prime Values, Jacob Juillerat. PDF.
Tanveer, Saleh. 2020. Marrero Garcia, Hilary. A Geometric Analysis Approach to Distinguish Basal Serotonin Levels in Control and Depressed Mice. Best, Janet. 2020. Wood, Emily. Analysis of SIS Patch Model and Development of a Modified SEIR Model Applied to the Current Opiate Crisis. Lou, Yuan.
Minor Thesis. The minor thesis is complementary to the qualifying exam. In the course of mathematical research, students will inevitably encounter areas in which they have gaps in knowledge. The minor thesis is an exercise in confronting those gaps to learn what is necessary to understand a specific area of math.
Columbia University. Department of Mathematics. Recent Doctoral Theses. The Gauss curvature flow: regularity and asymptotic behavior Kyeongsu Choi, May 2017 (Advisor: P. Daskalopoulos) Tropical geometry of curves with large theta characteristics Ashwin Deopurkar, May 2017 (Advisor: J. de Jong) Linear stability of Schwarzschild spacetime Jordan ...
Estimation and application of Bayesian Hawkes process models . Deutsch, Isabella (The University of Edinburgh, 2024-03-13) In this thesis, we examine various facets of Bayesian approaches to Hawkes Processes. Hawkes Processes are a flexible class of point processes that are used to model events that occur in clusters or bursts, as classic ...
advice about writing any mathematics paper, not just a thesis, is provided in [3], and also [2, 4, 5].) 1. Basic requirements Your thesis must make a contribution to some eld of mathematics, and also report what was previously known about the topic. A Ph.D. thesis is expected to have a signi cant amount of original mathematical research.
For all academic inquiries, please contact: Math Student Services C-36 Padelford Phone: (206) 543-6830 Fax: (206) 616-6974 [email protected]
Department of Applied Mathematics University of Washington Lewis Hall 201 Box 353925 Seattle, WA 98195-3925
The paper size used should be 8 1⁄2" by 11". The left margin should be 1.25 inches, and the top, bottom, and right margins should each be 1 inch. All pages should be numbered. The text should be double-spaced, except for quotations of five lines or longer, which should be single-spaced and indented. The text in the body of the thesis ...
A thesis is a more ambitious undertaking than a project. Most thesis writers within Applied Mathematics spend two semesters on their thesis work, beginning in the fall of senior year. Students typically enroll in Applied Mathematics 91r or 99r (or Economics 985, if appropriate) during each semester of their senior year.