Geometry and Topology

Geometry and Topology: algebraic topology, homotopy theory, algebraic geometry, noncommutative geometry, differential geometry, symplectic geometry and topology, toric varieties, higher categories, homotopy type theory, parallel processing, data structures, mathematical physics. 

The geometry and topology group at Western studies topics with connections to many areas of mathematics as well as to physics, computation and logic. The topics include algebraic topology, homotopy theory, algebraic geometry, noncommutative geometry, differential geometry, symplectic geometry and topology, toric varieties, higher categories, homotopy type theory, parallel processing, data structures, mathematical physics.  

If you are interested in graduate work in this research area, direct your application to the Department of Mathematics 

  • Janusz Adamus - Analytic geometry, commutative algebra, singularities.  
  • Tatyana Barron - Symplectic geometry, analysis on manifolds, automorphic forms.  
  • Dan Christensen - Homotopy theory, representation theory, derived categories, homotopy type theory.  
  • Graham Denham - Algebraic and geometric combinatorics.  
  • Ajneet Dhillon - Algebraic geometry, algebraic stacks, moduli of bundles.  
  • Matthias Franz - Toric geometry and topology, computational algebra.
  • Chris Hall - Number theory, Graph theory, Cryptography
  • Rick Jardine - Homotopy theory, algebraic K-theory, algebraic geometry, number theory and category theory.
  • Chris Kapulkin - Higher category theory, Homotopy type theory, Formal verification, Cryptography
  • Masoud Khalkhali - Cyclic homology, operator algebras, noncommutative geometry, geometric analysis.  
  • Martin Pinsonnault - Symplectic geometry and topology, geometric topology.  
  • Rasul Shafikov - Several complex variables, CR geometry.