Professor of Mathematics · University of Münster

Thomas
Nikolaus

My research develops higher-categorical and homotopy-theoretic methods connecting algebra, geometry, topology, and arithmetic. A central theme is the construction and computation of invariants using higher algebra and stable ∞-categories. My current interests include algebraic K-theory, trace and prismatic methods, algebra over the sphere spectrum, hermitian K-theory and L-theory, surgery, and assembly maps.

Algebraic K-theoryHomotopy theory & higher algebraTrace & prismatic methodsAlgebra over the sphereHermitian K- and L-theorySurgery & assembly maps
Thomas Nikolaus

01 / Roles and service

Scientific roles
and service

02 / Featured activity

Online seminar

AI and the Future
of Mathematics

A forum for discussing how artificial intelligence is changing mathematical research, discovery, and the future of the discipline.

View the seminar

03 / Upcoming conferences

2026–2027

Upcoming conferences

Organising

Gauß Lecture 2027

Speaker: Catharina Stroppel

Categories and Symmetries

A conference in honour of Christoph Schweigert’s 60th birthday
Organised with Konrad Waldorf, Ingo Runkel, and Lukas Woike

Opening of the Centre for Mathematics Münster

Motives and Trace Methods

Organised with Paul Arne Østvær

Speaking & attending

Motives in Seoul

Invited speaker

Assembly maps and geometric topology.

Invited speaker

04 / Outreach

For young mathematicians

Mathematics outreach