# Research group Pure Mathematics

At Radboud University Nijmegen we conduct research in a broad range of subfields of Pure Mathematics. Mathematics is full of mysteries and challenges and it's a great joy to contribute new insights to it! One of the beauties of Pure Mathematics is that so many mathematical themes get interwoven; topics that in a bachelor programme are taught in separate courses turn out to be related and connected, often in surprising ways.

## Research

Pure Mathematics is a vast area of research that includes many subfields. Among the main directions that are represented in our department are the following.

*Algebraic and Arithmetic Geometry:* Abelian Varieties, Algebraic Curves, Algebraic Geometry in positive characteristic, Cohomology Theories, Elliptic Curves, Moduli Spaces, Rational Points, Vector Bundles and their moduli, theory of Motives. (**Here** you can read more about Algebraic and Arithmetic Geometry and how this connects to the courses that are offered.)

*Algebraic Topology:* Algebraic K-Theory, (Higher) Category Theory, (Equivariant) Homotopy Theory, Structured Ring Spectra.

*Differential Geometry:* Poisson Geometry, Riemannian Geometry, Symplectic Geometry.

*Logic and Computer Algebra:* Computability, Computer Algebra, Connections to Theoretical Computer Science.

*Number Theory:* Continued Fractions, Diophantine Approximations, Modular Forms, Zeta Functions

*Representation Theory and Lie Theory:* Algebraic Groups and their representations, Hecke Algebras, Langlands programme.

## Highlights

### Seminars

We organise seminars at various levels, and we are actively involved in the organisation of workshops and conferences.

### Education

In the Bachelor's and Master's programme Mathematics we offer specialised courses in Algebra and Topology.

## Research group members

Faculty: Wieb Bosma, Annegret Burtscher, Peter Hochs, Victoria Hoskins, Ariyan Javanpeykar, Magdalena Kedziorek, Ioan Mărcuţ, Ben Moonen, Michael Müger, Steffen Sagave, Maarten Solleveld, Bernd Souvignier, Walter van Suijlekom, Bas Terwijn, Wadim Zudilin

PhD students: Miguel Barrero, Finn Bartsch, Janet Flikkema Anton Golov, Pablo Magni, Gregoire Marc, Berend Ringeling, Andreas Schüssler, Lisanne Taams, Giorgi Tigilauri, Maxime Wybouw

Please do not hesitate to get in touch with us for more information.