Topology Group Moerdijk Home Page

This is the home page of the Topology Group in the Math department at Radboud University, Nijmegen (NL).

Contents

Research

Members of our group do research in several different topics in topology, such as the theory of operads, Poisson and symplectic geometry, foliation theory, topological field theory and higher category theory, theory of stacks and gerbes, non-commutative geometry and many others. We also study applications of topological methods in logic, including topos theory.

More information about research of individual members of the group can be found below.

Group members

• tenured staff

  Ieke Moerdijk

• postdocs

  • Moritz Groth

  • Dmitry Roytenberg

  • Urs Schreiber

• PhD students

  • Matija Ba?i?

Tenured staff

• Ieke Moerdijk – Moerdijk’s interests lie in algebraic and differential topology, and in applications of topology to logic. Recently, he has worked on Lie groupoids and Lie algebroids with Marius Crainic and Janez Mr?un?, and on operads and model categories with Clemens Berger. Currently, in collaboration with Berger, Cisinski and Weiss, he is trying to develop the theory of dendroidal sets (an extension of simplicial sets closely related to operads). With Van den Berg, he also works on sheaf models for predicative logical systems.

Postdocs

• Moritz Groth–

  I am interested in stable homotopy theory and abstract homotopy theory. In particular, I am interested in the theory of and the relation between different models from higher category theory as there are among others model categories, ∞-categories and derivators.

• Dmitry Roytenberg–

  I study algebraic structures arising in geometry and theoretical physics. A lot of my past work concerned Courant algebroids, a kind of higher (string-theoretic) analogue of Poisson structures familiar in particle mechanics. I have applied the theory of supermanifolds to obtain a streamlined description of these and other structures as various kinds of differential graded manifolds. More recently, I became interested in homotopical algebra and higher category theory, specifically in the homotopy theory of differential graded manifolds and higher differentiable stacks.

• Urs Schreiber–

  I am interested in higher differential cohomology and higher Chern-Weil theory in the context of higher geometry. This topic has many applications in fundamental physics.

PhD students

• Matija Ba?i??–

  Research on dendroidal sets and generalized cohomology.

Activities

Seminars and Colloquia

Currently we are running the following seminars and colloquia.

• Seminar on Simplicial Methods

  starts Nov 2011

  This is an introductory seminar for students. It introduces the notion of simplicial sets and techniques for working with them. Towards the end of the seminar the notion of a model category structure on simplicial sets is motivated.

• Category Theory Seminar

  Tuesdays, 11:00-12:00 in room HG01.057

  The members of the math department are running a seminar on topics in category theory.

• Topology Seminar

  Wednesdays from 2pm to 4pm in room HG 03-085

  A research seminar on algebraic topology and related subjects, intended for interested staff members and advanced students with some background in algebraic topology. The plan is to begin with a series of lectures by Moritz Groth on derivators. After that, we plan to study (parts of) Dominic Joyce‘s paper on algebraic geometry over C-∞ rings, and presumably move a bit in the direction of derived differential geometry.

• QVEST seminar on topology and geometry

  A quarterly seminar with international guest speakers on topics in topology and geometry.

Calendar

• the group’s calendar

Information for students

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