Algebraic Topology

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More about algebraic topology

Connected areas

Algebraic topology in the department has strong connections to:

  • Combinatorics
  • Homological and homotopical algebra
  • Analytic and algebraic number theory
  • Algebraic and arithmetic geometry
  • Symplectic geometry
  • Quantum field theory 

Seminars

  • Weekly Topology Seminar
  • Differential Geometry/Symplectic Topology Seminar

Faculty

Headshot photograph of Michelle Chu

Michelle Chu

Assistant Professor

mchu@umn.edu
hyperbolic geometry, low-dimensional topology, geometric group theory, and arithmetic groups

 

Tyler Lawson

Tyler Lawson

Professor

tlawson@umn.edu
algebraic topology, K-theory

William Messing

William Messing 

Professor Emeritus

messing@umn.edu
p-adic Galois representations associated with algebraic varieties via étale cohomology, the connections between the latter and de Rham cohomology

Jonathan Rogness

Jonathan Rogness

Associate Professor

rogness@umn.edu
Mathematics education, algebraic topology

Maru Sarazola headshot

Maru Sarazola

Assistant Professor

maru@umn.edu
Homotopy theory, algebraic K-theory, category theory, algebraic topology, applied category theory

Headshot of Alexander Voronov

Alexander Voronov 

Professor

voronov@umn.edu
mathematical physics, algebraic topology, algebra, algebraic geometry

Headshot of Peter Webb

Peter Webb

Professor

webb@umn.edu
representation theory of groups and algebras, algebraic topology, combinatorics, category theory

Craig Westerland

Craig Westerland 

Associate Professor

cwesterl@umn.edu 
algebraic topology and its applications