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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.