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Department of Mathematics

Karlsruhe Institute of Technology
D-76128 Karlsruhe
Tel.: +49 721 608-43800

Research Focus Geometry, Groups and Topology

The investigation of the interactions of geometric, topological and algebraic structures has reiteratively led to new scientific advances within and beyond the realms of mathematics. A preeminent example being the geometrization of 3-manifolds.

Researchers from algebraic geometry, differential geometry, geometric analysis, geometric group theory, metric geometry, topology and number theory jointly constitute the research focus "Geometry, Groups and Topology". Their objective is to represent those interactions in both research and teaching.


Mini-Workshop in Metric Geometry

Geometry Day XII
November 30th, 2018

16. Weihnachtsworkshop

16. Weihnachtsworkshop
on Geometry and Number Theory
December 17 - 19, 2018


Talk at the Colloquium
Prof. Joachim Schwermer
University of Wien / MPI Bonn

February 5th, 2019


Participating researchers

Dr. Fernando Galaz-Garcia (RG Differentialgeometrie)

Dr. Sebastian Grensing (RG Differential Geometry)

Prof. Dr. Frank Herrlich (RG Number Theory and Algebraic Geometry)

PD Dr. Fabian Januszewski (RG Number Theory and Algebraic Geometry)

Dr. Holger Kammeyer (RG Topology)

Prof. Dr. Tobias Lamm (RG Applied Analysis)

Prof. Dr. Enrico Leuzinger (RG Metric Geometry)

PD Dr. Gabriele Link (RG Metric Geometry)

Prof. Dr. Roman Sauer (RG Topology)

JProf. Dr. Petra Schwer (RG Metric Geometry)

Prof. Dr. Wilderich Tuschmann (RG Differential Geometry)

E-Mail to all.

Research seminar Geometry, Groups and Topology

Renowned external speakers are invited to the research seminar on a regular basis. The research seminar takes place in room SR 1.067 of the Mathe-Bau (20.30), tuesday 13:30h - 15:00h.


29 May: Dierk Schleicher (Jacobs University Bremen)
Newton’s method as an interesting dynamical system and as an unexpectedly efficient root finder

26 June: Lennart Gehrmann (University of Duisburg-Essen)
Derived Hecke Algebra and Automorphic L-Invariants


16. January: Boris Vertman (Carl von Ossietzky University of Oldenburg)
Stability of Ricci flow on singular spaces

30 January: Katrin Wendland (Albert Ludwigs University of Freiburg)
Refinements of the Euler characteristic, old and new


13 June: Anja Randecker (University of Toronto)
Degeneration of a wild Loch Ness monster


13 December: Ghislain Fourier (Leibniz Universität Hannover)
Toric degenerations in Representation Theory

29 November: Lorenz Schwachhöfer (TU Dortmund)
Cohomological invariants on manifolds with special holonomy


31 May: Romain Tessera (Université Paris-Sud, Orsay)
Local-to-Global rigidity for singular spaces

7 June: Seonhee Lim (Seoul National University)
Sturming Colorings of Trees

5 July: Peter H. Kropholler (University of Southampton)
Random walks in soluble group theory

19 July: Thibaut Dumont (University of Utah)
On the growth of Klingler’s cocycles and the geometry of Euclidean buildings of type Ã_2


19 January: Jan Swoboda (Ruprecht-Karls-Universität Heidelberg)
Geometric and analytic aspects of Higgs bundle moduli spaces

8 December: Pierre-Emmanuel Caprace (Université catholique de Louvain)
Building buildings by means of means

17 November: Christophe Pittet (Aix-Marseille Université)
Ergodic properties of quasiregular representations of lattices of semisimple Lie groups

27 October: Conrad Plaut (University of Tennessee)
Applications of Discrete Homotopy Theory

20 October: Adrien Le-Boudec (Université Paris-Sud, Orsay)
C*-simplicity and the amenable radical


7 July: Olaf Müller (University of Regensburg)
Conformal techniques, bounded geometry and the Yamabe flow

16 June: Olga Varghese (WWU Münster)
Actions of SAut(Fn) on manifolds

9 June: Johannes Ebert (WWU Münster)
Positive Scalar Curvature and Stable Homotopy Theory

2 June: Leticia Barchini (Oklahoma State University)
Geometric models of Cohomologically Induced Modules

12 May: Kazim Büyükboduk (Koc University of Istanbul)
On the exceptional zeros of non-$p$-ordinary $p$-adic $L$-functions

5 May: Ioannis Antoniadis ( University of Crete, Heraklion)
Über die Arithmetik der Heisenbergschen Kurve


10 February: Alexander Lytchak (University of Cologne)
Thin and large, thick and small

3 February: Anne Thomas (University of Glasgow)
Quasi-isometry and commensurability for right-angled Coxeter groups

20 January: Oliver Goertsches (LMU Munich)
Group actions on Sasakian manifolds

13 January: Claudio Gorodski (USP São Paulo)
Isometric actions on spheres with an orbifold quotient

16 December: Alessandro Sisto (ETH Zürich)
Bounded cohomology of acylindrically hyperbolic groups

25 November: Ernst Kuwert (University of Freiburg)
Minimization problems for the Willmore functional


8 July: Wolfgang Ziller (University of Pennsylvania)
Submanifolds of Euclidean space with nonnegative curvature

27 May: Karsten Grove (University of Notre Dame)
Maximal diameter rigidity for submetries in positive curvature


21 January: Esther Cabezas-Rivas (Goethe-Universität Frankfurt)
A generalization of Gromov's almost flat manifold theorem

14 January: Gregory Soifer (Bar-Ilan University, Tel Aviv)
The Auslander conjecture for dimension less than 7


2 July: Michael Puschnigg (Heidelberg and Marseille)
The Baum-Connes conjecture

11 June: Kevin Wortman (University of Utah)
Cohomology of arithmetic groups over function fields and related groups

21 May: Sara Maloni (Université Paris-Sud 11)
Plumbing construction and slices of Quasifuchsian groups

14 May: David Wraith (National University of Ireland, Maynooth)
Aspects of topology and geometry in cohomogeneity greater than one

30 April: Łukasz Grabowski (University of Oxford)
Some spectral computations of random walk operators

Conferences and workshops

  • Mini-Workshop in Metric Geometry in the framework of the Dual Year Mexico-Germany (2017)
  • Special RTG Day in honor of Enrico Leuzinger's 60th birthday (2017)
  • International conference Geometry, Groups and Topology (2011), (2013), (2016)
  • SWAN - South West Algebra Network (annually: Summer 2018)
  • SWAS - Südwest Arithmetik-Seminar (annually: Summer 2016)
  • A conference in honor of Richard Weiss' 70th birthday: Group Theory, Geometry and the Influence of Jacques Tits (2016)
  • Heidelberg-Karlsruhe-Strasbourg Geometry Days (semi-annually: Spring 2018)
  • International conference Young Geometric Group Theory V (2016)
  • Karlsruher Weihnachtsworkshop zur Geometrie und Zahlentheorie (annually: 2018)
  • International conference Chinese-German Workshop on Metric Riemannian Geometry (2015)
  • GAFKA - Geometrie und Analysis Frankfurt KArlsruhe-Seminar (quarterly: Summer 2016)

PhD workshops