uni bonn math phd

Universität Bonn

Hausdorff Center for Mathematics

Bonn is an internationally renowned center for mathematical research and teaching. The Hausdorff Center for Mathematics (HCM), established in 2006 as the first German Cluster of Excellence in Mathematics, is a major center for mathematical research and international scientific exchange. Its spectrum ranges from pure and applied mathematics to interdisciplinary research, including theoretical economics. HCM features the Hausdorff Research Institute (HIM) with its trimester programs, the Hausdorff school (HSM) which mainly addresses postdocs, and our graduate school (BIGS) for PhD students. 

Department of Mathematics - the Institutes

The University of Bonn has four institutes dedicated to mathematical teaching and research. The Department of Mathematics coordinates teaching and research in Mathematics within the Faculty of Mathematics and Natural Sciences at the University of Bonn. If you love mathematics, Bonn is the place to be!

Max Planck Institute for Mathematics

The Max Planck Institute for Mathematics is a research institute for pure mathematics and belongs to the Max-Planck-Gesellschaft (MPG). With its well known guest program the institute aims at stimulating the exchange of ideas within the international mathematics community.

The Carl Friedrich von Siemens Foundation awards the Heinz Gumin Prize for Mathematics to Don Zagier, Director Emeritus at the Max Planck Institute for Mathematics in Bonn and Associate Member of the Hausdorff Center for Mathematics. The Foundation hereby honors the prizewinner's groundbreaking research work on number theory and the theory of modular forms. At 50,000 euros, the Gumin Prize is the most highly endowed mathematics prize in Germany. The award ceremony will take place in mid-May 2024 at the Carl Friedrich von Siemens Foundation.

The Department of Mathematics (Fachgruppe Mathematik) honors Thorsten Michael Beckmann for the best dissertation of the academic year 2022/2023 in mathematics with the Hausdorff Memorial Prize. The honor today was presented by the chair of the Department, Herbert Koch, before the Hausdorff Colloquium in the Lipschitz Hall.

The Institute for Numerical Simulation at the University of Bonn has awarded Vera Weber the Ada Lovelace Prize for the academic year 2022/2023. The prize was awarded for her master's thesis entitled "On aspects of discretization strategies with applications in imaging", which was supervised by Ira Neitzel.

The economist Professor Christian Bayer from the Institute for Macroeconomics and Econometrics at the University of Bonn and member of the Hausdorff Center for Mathematics (HCM) has been awarded a Proof of Concept (PoC) Grant by the European Research Council (ERC). This program hands researchers €150,000 in funding for up to 18 months to help them commercialize their ideas from previous ERC projects through excellent basic research.

PhD Students

International Guests per Year

        Fields Medalists                          

Leibniz Prizes

Hausdorff Chairs

The Hausdorff Chairs make it possible to complement the faculty without the usual constraints in terms of timing and fields. We seek internationally outstanding scientists who fit into the broad spectrum of the Hausdorff Center.

Angkana Rüland

Stefan       Müller

Lisa Sauermann

Christoph Thiele

• CHE University Ranking
• DAAD database on admission requirements
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International Programmes 2023/2024

Bonn International Graduate School of Mathematics (BIGS-M) Bonn International Graduate School of Mathematics (BIGS-M)

University of bonn • bonn.

• Course details
• Costs / Funding
• Requirements / Registration
• About the university

Lectures, courses and events are conducted in English. The student may pass exams in English. The doctoral thesis may be submitted in English or German.

30 November for the summer semester 15 April for the winter semester

PhD in Mathematics Our Graduate School is organised into the following sections: A - Algebra, Number Theory and Logic B - Analysis and Differential Equations C - Discrete Mathematics D - Geometry and Topology E - Numerical Mathematics and Scientific Computing F - Stochastics

• International guest lecturers
• Study trips
• Projects with partners in Germany and abroad

Internships are possible.

Assistantships are a frequent mode of funding. Students are not required to prepare and teach lecture courses.

The University of Bonn is a public university, meaning that it does not charge tuition fees. However, all students must pay the so-called social contribution (semester fee) of about 330 EUR per semester. It includes a student transit pass for public transport and a statutory accident insurance, among other things.

Compared to the rest of Europe, living in Germany is not very expensive; in fact, it is only slightly above the EU average. The cost of living for students in Bonn is around 800 EUR to 1,000 EUR, with rent accounting for the largest share.

Academic admission requirements include a Master of Science with thesis. In exceptional cases, an outstanding Bachelor's degree may be accepted.

The applicant must submit evidence of proficiency in English. This can take the form of a test (TOEFL, IELTS or similar), a note showing previous instruction in English or the record of English courses taken. The applicant's ability to speak English should be on the level of the TOEFL with results of 550 points (written test) or 80 points (Internet-based test).

The language of instruction is English. The dissertation and exams can be written in English. Members of BIGS are expected to learn some German.

http://www.bigs-math.uni-bonn.de/application/online-application/

Research and teaching assistantships are available.

We cannot organise accommodation, but we have contacts of suitable accommodation available for successful applicants.

The University of Bonn has a central career service, which provides a range of advice and support about choosing a career and applying for jobs. Moreover, international students can join the "iStart" career programme, which teaches participants tangible knowledge and valuable skills that will enable them to write successful applications for jobs in Germany. The programme is geared toward giving students a successful career path both during and after their studies, thus making it easier for them to enter the job market.

• Accompanying programme

University of Bonn

As the former capital of Germany and the seat of the United Nations in Europe, Bonn stands for internationality and diversity. As a globally renowned research institution, this also applies to the university: In addition to research and teaching collaborations with partners around the globe, it is characterised not least by its diverse student body with more than 5,000 students and doctoral candidates from over 136 countries.

According to the Times Higher Education Ranking 2023, the University of Bonn is one of the most international universities in the world and occupies the top position within the diverse university landscape of North Rhine-Westphalia. This international orientation has a long tradition: The university has maintained relationships with universities abroad for a long time. For example, there are interdepartmental cooperation agreements with almost 40 universities around the world.

In addition, the University of Bonn cooperates with 300 partner universities within the framework of student exchange programmes. The internationality of the University of Bonn is also reflected in its range of courses: There are now 38 international degree programmes, many of which are taught entirely in English or other foreign languages or lead to a double degree with a partner university.

University location

Bonn is a beautiful and historic city located on the banks of the Rhine and also known as the birthplace of Ludwig van Beethoven. At the same time, it is a modern, lively and cosmopolitan city with a high quality of life. Bonn is also the German city of the United Nations with 25 UN institutions and many international organisations. With over 5,000 international students from more than 136 countries, the university contributes significantly to the international flair of the city of Bonn.

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Universität Bonn

Research - Teaching - Excellence

Announcement - possible bomb disposal on april 8, 2024.

The city of Bonn will investigate a possible location of a World War II bomb in Bonn-Poppelsdorf on Monday, April 8, 2024. Aerial images were evaluated for a sewer construction project in the area, suggesting the presence of an unexploded bomb from World War II underground at the intersection of Wegelerstraße/Kreuzbergweg/Beringstraße. If the suspicion is confirmed, immediate preparations for disposal will be made, requiring a wide-scale evacuation. This would affect large parts of the Poppelsdorf campus of the University of Bonn.

UPDATE : Investigations will continue tomorrow, April 10

The Faculty of Mathematics and Natural Sciences at the University of Bonn offers researchers and students some unique opportunities in terms of education, academic and scientific diversity, and global networking. Whether it is performed in a laboratory, out in the field, at a computer or in front of a whiteboard, the work done at the faculty is interdisciplinary, forward-looking and extremely highly regarded on the international stage.

The Faculty of Mathematics and Natural Sciences is the only one at the University of Bonn to be divided into specialized departments called Fachgruppen (Mathematics, Computer Science, Physics/Astronomy, Chemistry, Earth Sciences, Biology, Pharmacy, Molecular Biomedicine). The institutes based in these specialized departments boast outstanding track records in research.

The degree programs offered by the Faculty of Mathematics and Natural Sciences cover the whole range of disciplines encountered in the natural sciences.

2 February 2024

Great success for the University of Bonn

The German Research Foundation announced today that full proposals should be submitted for two outline proposals for new clusters of excellence at the University of Bonn, in which our department of Physics/Astronomy is involved.

We are very excited about this fantastic outcome and congratulate the Physics/Astronomy department!  

Academic and scientific work at the highest level: the research we are doing in the faculty

Using resources expediently: find out more about our core facilities

Your future, any number of possibilities: the degree programs we offer at the faculty  

Key Semester Dates

Winter term 2023/24 (1 october 2023 – 31 march 2024).

Lecture Period 9 October 2023 - 2 February 2024

Summer Term 2024 (1 April - 30 September 2024)

Lecture Period 8 April – 19 July 2024 (Pentecost break 21-24 May)

Dies Academicus 15 May 2024

Winter Term 2024/2025 (1 October 2024 - 31 March 2025)

Lecture Period 7 October 2024 - 31 January 2025

Universität Bonn

Bonn International Graduate School of Mathematics

BIGS Mathematics is the graduate school of the Hausdorff Center for Mathematics and serves all mathematics graduate students in Bonn. Bonn is a leading center for mathematical research in Germany and it provides a rich and stimulating environment for learning and doing mathematics. Here, we are also committed to creating a welcoming and supportive community for all our students. Our mission is to attract excellent students from Germany and from around the world to Bonn and to guide them towards research at the forefront of modern mathematics.

Talk about research grants and panel discussion with professors Venue: Lipschitzsaal

Thursday, June 27, 2024: 15:30-18:00 Friday, June 28, 2024: 14:30-15:45

Link to the application portal for admission in October 2024

Application deadline: April 15, 2024

BIGS Directors

Prof. Margherita Disertori

[email protected]

Endenicher Allee 60 (MZ), 4.045

Prof. Philipp Hieronymi

Associate Director

[email protected]

Endenicher Allee 60 (MZ), 4.005

PhD Students

International Students

Supervising Faculty

BIGS Mathematics Office

General Advising and Support for BIGS PhD studets, Inquiries about admission and application, about travel support and reimbursement and personnel matters.

Karen Bingel        

+49 228  73-7788

Anna Klinov         

+49 228 73-62223

[email protected]

Office Hours:

Mon - Fri:  9:00 - 12:00 and 13:00 - 15:00

Endenicher Allee 62 53115 Bonn

Early Career Programs

Advising on Global Math Exchange, Young Researcher Networking and other special programs, Coordination of internationalization and equity/diversity initiatives.

Dr. Magdalena Balcerak Jackson

+49 228 73-62213

[email protected]

Anna Klinov        

[email protected]

Room 0.001 / 0.004 Endenicher Allee 62 53115 Bonn

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• Graduate School IMPRS

International Max Planck Research School on Moduli Spaces

The International Max Planck Research School on Moduli Spaces (IMPRS) is the graduate program of the Max Planck Institute for Mathematics in Bonn (MPIM) jointly offered with the University of Bonn. It is part of the Bonn International Graduate School in Mathematics (BIGS-Mathematics). The IMPRS is sponsored by the Max Planck Society .

The academic training program of the IMPRS Moduli Spaces consists of courses, mini-courses, seminars and special activities, complementing the Ph.D. program of the University of Bonn.

PhD positions are available in the direction of moduli spaces and related fields for candidates with excellent Master or Bachelor degrees in the areas of research advised by one of the MPIM directors:

•  Arithmetic Geometry, Geometric Langlands Theory ( Gaitsgory , Scholze )
•  Topology ( Teichner )

Further research directions are available with other IMPRS board members and with other faculty at MPIM, such as Number Theory ( Blomer , Harder , Moree ), Arithmetic Geometry ( Faltings ), Modular Forms ( Zagier ), Teichmueller Theory ( Hamenstaedt ), Complex Algebraic Geometry ( Huybrechts ), Symplectic Geometry ( Bottman ), Global Analysis ( Mueller ), Topology ( Barthel , Ozornova , Ray , Schwede ), Geometric Topology ( Avramidi , Stadler ), Representation Theory ( Stroppel ) and Mathematical Physics ( Klemm , Blohmann ).

In addition, faculty members at the University of Bonn can also serve as advisors.

The Ph.D. should be finished within 3-4 years. The program is in English, dissertation and dissertation defense are in English too if desired. In exceptional cases, continuous supervision or graduating from the student's home university is possible.

Application

Students from all countries can apply, please follow the Application Instructions .

Requirements: German Diploma, Master of Science or equivalent. Depending on academic qualification, admission is for a qualifying year or directly for the Ph.D. work. Proof of proficiency in English ( TOEFL -test or equivalent qualification).

Application Deadline

• November 30 for the summer term
• April 15 ( new ) for the winter term.  

IMPRS Coordinator

Dr. Christian Kaiser room no. B 26 kaiser[at]mpim-bonn[dot]mpg[dot]de

Contact address for further communication

imprs[at]mpim-bonn[dot]mpg[dot]de

Mail Address

Max-Planck-Institute for Mathematics IMPRS-ModuliSpaces P.O. Box 7280 53072 Bonn Germany

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Application for the IMPRS Moduli Spaces

• Job openings

Since 1st of December 2011 the IMPRS shares an online application website with its partner Bonn International Graduate School Mathematics: http://www.bigs-math.uni-bonn.de/application/online-application/

In addition to CV, statement of purpose, degrees and academic records, proficiency in English and 2 letters of recommendation, which you should submit at the online application website, we ask you for a copy of your Bachelor's or Master's thesis if available (electronic version prefered). Send this to:

imprs$@$mpim-bonn$.$mpg$.$de

Max-Planck-Institute for Mathematics IMPRS-ModuliSpaces P.O. Box 7280 D-53072 Bonn Germany

Important Notes

• Visa : Students from most countries outside the European Union will have to apply for a visa to study in Germany. For details, ask the nearst German Embassy or Consulate, advisably before you send the application. Usually you must submit a letter from us stating that you are accepted, and a proof of financial support (e.g. award of IMPRS scholarship).
• The deadline for the summer term is November 30. The deadline for the winter term is April 15 ( new ). Applications will be considered by a Committee. Expect an answer within four weeks after the deadline.

IMPRS Working Areas

The topics studied in the IMPRS Moduli Spaces include:

• Shimura Varieties, Locally Symmetric Spaces
• Moduli Spaces of Principal Bundles on Curves
• The Moduli Space of Riemann Surfaces

Combinatorics of Moduli Spaces of Curves; Homological Aspects; Teichmüller Theory and Deformations of Hyperbolic 3-Manifolds

• Modular Forms
• Bounded Geometry

Gromov Precompactness Theorem; Quasi-isometric Rigidity; Spaces of Nonpositive Curvature; Spaces of Maps; Isospectral Manifolds

• Semisimple Frobenius Manifolds and Quantum Cohomology
• Non-commutative Geometry and Moduli Spaces
• Moduli Spaces in Floer Theory
• Strings and Conformal Field Theory

More detailed information is coming soon.

The Theme "Moduli Spaces"

Already Riemann was able to count the "number of free parameters" defining a Riemann surface of fixed genus. In the formally precise terminology of modern algebraic geometry, he was counting the dimension of the moduli space of Riemann surfaces. Traditionally, one studies these spaces via deformation theory (degenerations and compactifications - this often involves interesting combinatorics) or by uniformization theory (Teichmüller space).

Very surprisingly, these and other more complicated moduli spaces (e.g., of vector bundles, of stable maps, etc.) were discovered in recent years to play an important role in mathematical physics, especially in the theory of quantum strings, which strives to the unification of quantum field theory and the theory of gravity.

Currently, moduli spaces are studied from three perspectives, which we will now describe in more detail.

Initially, moduli spaces were introduced and investigated in order to understand better the objects they parametrize. It turned out that moduli spaces can be used as important tools in proofs of classical results. Often it requires a deep insight to see how a moduli space can be employed to obtain a result that only deals with individual objects. The 1983 proof of the Mordell and Shafarevich conjectures by G. Faltings is a famous example; here the moduli space of abelian varieties plays a decisive role. As it was thus realized that moduli spaces are significant mathematical objects, mathematicians started to study them in their own right. Their intrinsic beauty also contributed to the flourishing of this subject.

Another application of moduli spaces is to consider them as a tool to construct interesting varieties. There are various arithmetic conjectures about varieties that are inaccessible in general. By making use of the fact that a moduli space is parametrizing certain structures it becomes possible to prove some of these conjectures for these special varieties. For instance we can attach an $L$-function to an algebraic variety over $\mathbb Q$ and certain conjectures about its analytic properties can be stated, but we can prove them only in very few cases, and these cases are usually modular varieties. The most spectacular example is the theorem of Wiles that an elliptic curve over $\mathbb Q$ in some sense occurs in a suitable modular curve. These modular curves are the simplest examples of Shimura varieties.

In global Riemannian geometry one considers spaces of isometry classes of complete Riemannian manifolds, defined by specific bounds on the geometry. The questions of interest here include the triviality of such spaces (rigidity) and the structure of their boundaries (e.g., Gromov-Hausdorff convergence), among others. One also studies minimal submanifold immersions or isospectral metrics by looking at their moduli spaces.

The second perspective is to view moduli spaces as a way of generating new geometries. As an example from differential geometry, we mention the Weil-Petersson metric which is a natural Kähler metric on moduli spaces of Calabi-Yau manifolds. In the case of three-dimensional Calabi-Yau manifolds this metric satisfies additional properties which lead to the notion of a special Kähler metric. This geometry was discovered first by physicists in an entirely different context. There it arose as a constraint of extended supersymmetry in four-dimensional supergravity Yang-Mills theories. The link between these two appearances of special Kähler geometry is provided by string theory. The low-energy limit of a ten-dimensional superstring theory compactified down to four dimensions with a Calabi-Yau threefold is identical to the supergravity Yang-Mills theory.

Another example is furnished by the so-called Frobenius manifolds. Physicists discovered that moduli spaces of topological and conformal field theories come up together with a new structure: their tangent vectors can be multiplied as elements of an algebra. After a suitable axiomatization, it was realized that several other constructions lead to the same structure. In particular it emerges on the unfolding spaces of isolated singularities (Kyoji Saito et al.), and the cohomology spaces of certain differential graded algebras (S. Barannikov and M. Kontsevich).

The most surprising and much studied phenomenon, again predicted by physicists, is the famous mirror symmetry. It is expressed in the existence of its morphisms between Frobenius manifolds given by totally different constructions, for example, quantum cohomology (genus zero Gromov-Witten invariants) and extended moduli spaces of Calabi-Yau manifolds.

Mirror symmetry is closely connected with studying degenerations which lie at the boundary of a moduli space. It was recognized recently that moduli spaces may have "invisible" boundary strata which parametrize non-commutative varieties in the sense of Alain Connes. This is a very promising new direction of research.

Finally, the third perspective originates from a fundamental idea about constructing invariants of geometric spaces. The idea is to assign to a geometric space a moduli space and to prove that standard invariants of the moduli space are actually invariants of the geometric space.

As an example of this we mention Donaldson and Seiberg-Witten invariants of 4-manifolds. The gauge-theoretic moduli spaces arising in these theories are spaces of solutions of certain partial differential equations defined in terms of geometric objects such as connections and spinors, modulo a large group of gauge symmetries. These moduli spaces provide invariants of smooth 4-manifolds, and by dimensional reduction and gluing formulae, invariants of 3-manifolds in the form of Floer homology theories. An intensive study of gauge theoretic moduli spaces was initiated in the early eighties, with Donaldson's famous result on obstructions to the existence of smooth structures on certain classes of 4-manifolds. More recent results have uncovered deep connections between moduli spaces of Donaldson and Seiberg-Witten invariants of 4-manifolds, and between Seiberg-Witten and Gromov-Witten invariants of symplectic 4-manifolds.

In the study of all kinds of moduli spaces from all of these perspectives, explicit formulas are often given by identities involving modular functions (i.e., functions on moduli spaces). The appearance of modular forms is ubiquitous in the theory of $L$-functions, but very surprisingly, they are also involved in many identities arising from mirror symmetry, vertex algebras and statistical mechanics.

Financial and other support for IMPRS students

A few doctoral positions are available. Ph.D. students receive a Ph.D. support contract of the Max Planck Society for three years, based on the German TVöD 13 scale (75%). Extension to a 4th year is possible.

The Max Planck Institute will assist in finding housing (housing[at]mpim-bonn[dot]mpg[dot]de). All information about Visa/Residence permit Ph.D. students will obtain by the administration (personnel[at]mpim-bonn[dot]mpg[dot]de).

For a sketch of the approximate living expenses, have a look at some information provided by BIGS .

The IMPRS provides support for students to visit specialists in their fields at German or other European institutions with whom the IMPRS is connected. There is also a limited budget for participation in conferences or workshops at these partner institutions, or for short invitations of specialists from these institutions to Bonn.

IMPRS Courses

University of Bonn

• Number Theory
• Algebraic Groups
• Algebraic and Arithmetic Geometry
• Differential Geometry
• Algebraic Topology
• Complex Analysis
• Global Analysis and
• Mathematical Physics

For a complete list see the "Vorlesungsverzeichnis" of Bonn University.

Max Planck Institute for Mathematics

• Oberseminar Topology
• AG Homotopy Theory (jointly with the Universities Wuppertal, Düsseldorf and Bochum)
• AG Complex Analysis (jointly with Wuppertal University)
• Number Theory Seminar
• Algebraic and Complex Geometry Seminar
• Seminar on Algebra, Geometry and Physics
• Gauge Theory Seminar

as well as further activities and seminars on timely topics.

For a complete list have a look at MPIM's Web-Site

The IMPRS will install two new seminars specifically for the graduate students:

• a reading course, where the students work with some advisor through material necessary for, or supplementary to, their research work;
• a seminar where the students present their own work and/or discuss ideas with the other graduate students (who might be working in other fields).

For those students who first do their qualifying year, a crash course will be organized.

The IMPRS and BIGS will also organize a series of lectures by invited speakers on recent research in the fields of the graduate students.

Each graduate student is expected to participate in the weekly "Mathematical Colloquium", where invited speakers give talks about their latest work.

Apart from the scientific program, the IMPRS students can participate in the language courses and the social program the BIGS will offer.

IMPRS Board Members

Prof. Dr. W. Ballmann (U. Bonn and MPIM) :

- Differential Geometry

Prof. Dr. C.-F. Bödigheimer (U. Bonn) :

Prof. Dr. V. Blomer (U. Bonn) :

- Number Theory

Prof. Dr. G. Faltings (MPIM) :

- Arithmetic Algebraic Geometry

Prof. Dr. D. Gaitsgory (MPIM) :

- Geometric Langlands Theory

Prof. Dr. U. Hamenstädt (U. Bonn) :

- Differential Geometry, Teichmüller Theory

Prof. Dr. G. Harder (U. Bonn and MPIM) :

Prof. Dr. D. Huybrechts (U. Bonn) :

- Complex Geometry

Prof. Dr. A. Klemm (U. Bonn):

- Mathematical Physics: String Theory, Algebraic Geometry

Prof. Dr. Werner Müller (U. Bonn) :

- Global Analysis, Locally Symmetric Spaces

Dr. A. Ray (MPIM) :

Prof. Dr. P. Scholze (U. Bonn and MPIM) :

Prof. Dr. S. Schwede (U. Bonn) :

Prof. Dr. Catharina Stroppel (U. Bonn) :

- Representation Theory, Topology, Category Theory

Prof. Dr. P. Teichner (UC Berkeley and MPIM) :

Prof. Dr. D. Zagier (MPIM and Collège de France) :

- Modular Forms, Number Theory

• General Information
• Equal opportunities
• Guest Program
• Publications & Preprints
• Services & Links
• How to apply

Events today

• 14:00 - 16:00   MPIM Lecture Hall Peter Scholze: Geometrization of the real local Langlands correspondence: Overview and distribution of talks

Mathematical Institute of the University of Bonn

Research group analysis and partial differential equations, heads of the research group:.

• Prof. Dr. Herbert Koch (Secretary: Alev Erisöz-Reinke )
• Prof. Dr. Matthias Lesch (Secretary: Bettina Müller-Herchen )
• Prof. Dr. Christoph Thiele (Secretary: Ruth Čanji )

Head of the Sofja Kovalevskaja Research Group:

• Dr. Roland Donninger (Secretary: Christina Knauf )

Group members:

• Dr. Michel Alexis
• Lars Becker
• Dr. Jan Bohr
• Valentina Ciccone
• Dr. Dimitri Cobb
• Dr. Kornelia Hera
• Gevorg Mnatsakanyan
• Lorenzo Pompili
• Dr. Rajula Srivastava
• Dr. Koen van den Dungen

Former group members

Teaching summer term 2024:.

• S4B1 - Graduate Seminar on Analysis - Polynomial Methods
• V5B2 - Selected Topics in Analysis and PDE - Geometric Inverse Problems
• S5B1 - Graduate Seminar on Advanced Topics in PDE

Teaching winter term 2023/24:

• S2B1 - Hauptseminar Funktionalanalysis- Fouriersche Analysis
• S4B1 - Analysis of multiple ergodic averages

Teaching summer term 2023:

• V5B8 - Selected Topics in Analysis- Topics in Euclidean Harmonic Analysis
• S4B1 - Graduate Seminar in Analysis - The Calderón Problem
• Reading group on Analysis and PDE

Teaching winter term 2022/2023:

• V5B1 - Advanced Topics in Analysis - Integrable systems and nonlinear Fourier transforms
• S4B2 - Summer School 2022 - Nodal Domains and Landscape Functions , Kopp 02.-07.10.2022

Teaching summer term 2022:

• V4B5 - Real and Harmonic Analysis
• V5B3 - Advanced Topics in PDE and Mathematical Models
• V5B8 - Selected Topics in Analysis - The vector field method and quasilinear wave equations
• S1G1 - Seminar - Fouriersche Analysis

Teaching winter term 2021/2022:

• S2B1 - Hauptseminar Funktionalanalysis - Fourier multipliers and pseudodifferential operators
• V5B8 - Selected Topics in Analysis - Sobolev functions on rough domains
• V5B8 - Selected Topics in Analysis - Martingale inequalities
• S4B2 - Summer School 2021 - Brascamp-Lieb inequalities , Kopp 26.09-01.10.2021
• S5B2 - Graduate Seminar on PDE in the Sciences - Evolution equations in fluid dynamics

Teaching summer term 2021:

• V2B3 - Einführung Komplexe Analysis
• V5B2 - Selected Topics in Analysis and PDE - Dispersive PDEs: deterministic and probabilistic perspectives
• S4B1 - Graduate Seminar on Analysis - Analytic Approaches to the Riemann Hypothesis
• Video seminar Berkeley / Bonn / Paris-Nord / Zürich

Teaching winter term 2020/2021:

• V1G1 - Analysis 1
• S2B1 - Hauptseminar Funktionalanalysis - Geometrische und konvexe Analysis
• V4B1 - Nonlinear Partial Differential Equations I
• V5B1 - Advanced Topics in Analysis and PDE - Harmonic Measure
• V5B7 - Selected Topics in Analysis - Introduction to Banach-valued analysis
• V5B7 - Selected Topics in Analysis - Hilbert Spaces of Entire Functions

Teaching summer term 2020:

• V2B3 - Einführung in die Komplexe Analysis
• V3B2 - PDG and Modeling
• V5B7 - Advanced Topics in Analysis - The Collatz Conjecture

Teaching winter term 2019/2020:

• V1G3 - Lineare Algebra I
• V1G3 - Lineare Algebra I, Exercises
• S4B3 - Graduate Seminar on Global Analysis
• S4B3 Graduate Seminar on Global Analysis - KO-valued index theory
• V3B1 - Functional Analysis and PDEs
• V5B7 - Advanced Topics in Analysis - Geometric Fourier Analysis
• S2B1 - Hauptseminar Funktionalanalysis - Fourieranalysis und Wavelets
• S4B2 - Summer school 2019 - Sphere Packings and Optimal Configurations , Kopp 29.09-04.10.2019
• S4B1 - Graduate Seminar in Analytic Number Theory

Teaching summer term 2019:

• V2B2 - Vorlesung Einfuehrung in die partiellen Differentialgleichungen
• V5B5 - Vorlesung Advanced Topics: Regularity for Elliptic Variational Problems
• V5B7 - Advanced Topics in Analysis - Decoupling
• V5B7 - Advanced Topics in Analysis - Orthogonal Polynomials and Special Functions
• S2B2 - Hauptseminar Partielle Differentialgleichungen
• S1G1 - Fourier-Analysis

Teaching winter term 2018/2019:

• V5B2 - Selected Topics in Analysis and PDE - The well-posedness of hyperbolic PDE
• V5B7 - Advanced Topics in Analysis - Selected Topics from Global Analysis and Operator Algebras
• Oberseminar Global Analysis
• V2B1/MB10 - Vorlesung Analysis 3
• S4B1 - Graduate Seminar on Analysis - Geometric aspects of Harmonic Analysis
• V5B7 - Advanced Topics in Analysis - Sobolev Spaces
• V5B2 - Selected topics in Analysis and PDE - Geometric Optimal Control

Former Teaching

Mailing list.

Jessica Fintzen wins Cole Prize

Dr. Regula Krapf receives university teaching award

Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts

Matthias Kreck elected corresponding member of the Göttingen Academy of Sciences and Humanities in Lower Saxony

M. Rapoport receives the Alexanderson Award of the AIM (joint with Jan Bruinier, Benjamin Howard, Stephen S. Kudla, and Tonghai Yang)

Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019

Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Grants for Mathematics students from Ukraine

Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Prof. Peter Scholze elected as Foreign Member of the Royal Society

phd-math-assoc - Math Association for PhD Students (MAPS)

Subject: Math Association for PhD Students (MAPS)

Description: Mailing list: We are a newly-formed association for math PhD students in Bonn. We are trying to create a community in which we can learn and have fun. Subscribe to this list if you wish to receive e-mails about social and educational events organized by MAPS. :D Telegram group: We will also give updates in the Telegram group of MAPS. You can also ask questions about bureaucracy to other PhD students and make suggestions for other events! If you like bouldering, hiking, football or any other type of activity, feel free to write in that group and look for other people to join you. ^_^

Mathematics

Mathematics is a structural science; as such, its goal in this Master of Education degree program is to prove statements about mathematical objects and structures according to the principles of logic and to construct and refine mathematical theories. Such theories should be described so generally that the results can be applied to as many real situations as possible. Students are involved with current research topics in mathematics from the areas of arithmetic, geometry, algebra, mathematical analysis, probability and statistics, linear algebra and mathematical modeling.

While in the bachelor's degree program students focus on the knowledge side of their two school subjects, the Master of Education degree program puts a stronger emphasis on educational sciences and subject didactics. Learning the didactic aspects of the knowledge-based topics, students can also deepen their own understanding of these topics. Students are introduced to a broad range of possibilities as to how mathematical proofs can be conducted, how problems can be varied, and how school students can discover how to learn math. In order to adequately address heterogeneity among school students, topics such as differences in basic mathematical preconceptions, creativity and giftedness, and dyscalculia are explored as well as their effects on instruction.

In teaching degree programs designed for grammar and comprehensive schools, students choose two school subjects. Thus, in addition to Mathematics, students are enrolled for a s econd subject as well as Educational Sciences. The practical semester is a centerpiece of the degree program.

Possible lines of work:

Teaching at schools

For other possible lines of work, please refer to the Mathematics (MSc) degree program.

Examination Regulations (German versions are legally binding)

University degree (German or non-German) in a relevant discipline

German language proficiency (DSH level 3, CEFR level C2, as per DSH exam. regulations)

Other language skills: Two foreign languages (modern languages on CEFR level A2 or qualification in Latin/Greek)

Specific modules: 67 ECTS credits each for subject knowledge/subject didactics modules in the chosen school subjects (of which 3 ECTS credits each for subject didactics) | 24 ECTS credits for educational sciences (of which 3 ECTS credits for the topic of inclusion; aptitude and orientation internship as well as vocational internship) | Bachelor's thesis 7 ECTS credits

9 weeks internship, incl. 25 days at a school

Bonn Center for Teacher Education (BZL) 1 1 1

Department of Mathematics

Subject-specific Study Advisory Service 3

Central Study Advisory and Counseling Service 4

Advice and support from fellow students 5

Self-assessments to help you choose a subject

Preliminary 6  courses 7 7

Examination regulations 9 9 8 1

Module guides 10 10

Teaching Degree 10