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Overview

Thomas Schick is affiliated with the University of Göttingen in Germany. Their research primarily falls within the field of Mathematics, with a focus on subfields such as Mathematical Physics, Geometry and Topology, Applied Mathematics, Algebra and Number Theory, and Computational Theory and Mathematics.

The main topics covered in Schick's work include:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Operator Algebra Research
  • Advanced Topics in Algebra
  • Geometric Analysis and Curvature Flows
  • Geometric and Algebraic Topology
  • Algebraic structures and combinatorial models
  • Spectral Theory in Mathematical Physics

Schick has published extensively in several venues. The most frequent publication platforms include:

  • arXiv (Cornell University)
  • Geometry & Topology
  • Symmetry Integrability and Geometry Methods and Applications
  • Mathematische Nachrichten
  • Journal of the European Mathematical Society

Among the recent scholarly papers authored or coauthored by Schick are:

  • "On an index theorem of Chang, Weinberger and Yu" (2021) published in arXiv (Cornell University)
  • "The Gromov-Lawson codimension 2 obstruction to positive scalar curvature and the C∗-index" (2021) published in Geometry & Topology
  • "Transfer maps in generalized group homology via submanifolds" (2021) published in Documenta Mathematica
  • "Coarse homotopy groups" (2020) published in Mathematische Nachrichten
  • "Lipschitz rigidity for scalar curvature" (2024) published in Journal of the European Mathematical Society

Frequent collaborators in their research work have included:

  • Tom Dove
  • Vito Felice Zenobi
  • Bernhard Hanke
  • S. Cecchini
  • Mario Velásquez

Thomas Schick's body of work encompasses a significant contribution to the understanding of algebraic and geometric structures within mathematics, particularly through the lens of topology and operator algebras. The emphasis on analysis, curvature flows, and algebraic topology reflects a multidisciplinary approach to mathematical research that spans theoretical and applied aspects.

Best Publications

  • Approximating L2-invariants and the Atiyah conjecture

    Józef Dodziuk;Peter Linnell;Varghese Mathai;Thomas Schick

  • ²-determinant class and approximation of ²-Betti numbers

    Thomas Schick

  • On a question of Atiyah

    Rostislav I. Grigorchuk;Peter Linnell;Thomas Schick;Andrzej Żuk

  • Trends in Mathematics

    Ralph Meyer;Thomas Schick;Yuri Tschinkel

  • On the Equivalence of Geometric and Analytic K-Homology

    Paul Baum;Nigel Higson;Thomas Schick

  • Bordism, rho-invariants and the Baum–Connes conjecture

    Paolo Piazza;Thomas Schick

  • A counterexample to the (unstable) Gromov–Lawson–Rosenberg conjecture

    Thomas Schick

  • On the Topology of T-Duality

    Ulrich Bunke;Thomas Schick

  • SMOOTH K-THEORY

    Ulrich Bunke;Thomas Schick

  • The Spectral Measure of Certain Elements of the Complex Group Ring of a Wreath Product

    Warren Dicks;Thomas Schick

  • On a conjecture of Atiyah

    R. I. Grigorchuk;P. Linnell;T. Schick;A. Zuk

  • Manifolds with Boundary and of Bounded Geometry

    Thomas Schick

  • Uniqueness of smooth extensions of generalized cohomology theories

    Ulrich Bunke;Thomas Schick

  • Enlargeability and index theory

    Bernhard Hanke;Thomas Schick

  • Groups with torsion, bordism and rho invariants

    Paolo Piazza;Thomas Schick

  • The space of metrics of positive scalar curvature

    Bernhard Hanke;Thomas Schick;Wolfgang Steimle

  • L2-determinant class and approximation of L2-Betti numbers

    Thomas Schick

  • Rho‐classes, index theory and Stolz’ positive scalar curvature sequence

    Paolo Piazza;Thomas Schick

  • Corrigendum: Uniqueness of smooth extensions of generalized cohomology theories

    Ulrich Bunke;Thomas Schick

  • Trends in mathematics: Mathematisches Institut, Georg-August-Universität, Göttingen, Courant-Colloquium, October 2007

    Ralf Meyer;Thomas Schick;Yuri Tschinkel

Frequent Co-Authors

Wolfgang Lück
Wolfgang Lück University of Bonn
Yuri Tschinkel
Yuri Tschinkel Courant Institute of Mathematical Sciences
Varghese Mathai
Varghese Mathai University of Adelaide
Steve Smale
Steve Smale City University of Hong Kong
William G. Dwyer
William G. Dwyer University of Notre Dame
Rostislav Grigorchuk
Rostislav Grigorchuk Texas A&M University
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Daniel Lenz
Daniel Lenz Friedrich Schiller University Jena
Alex Eskin
Alex Eskin University of Chicago
Alain Connes
Alain Connes Collège de France

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