Research Groups
Algebra
Faculty activities in this area include commutative algebra, representation theory, combinatorics, combinatoric number theory and algebraic geometry.
Faculty: M.C. Chang, V. Chari, V. Dolgushev, J. Greenstein, W.L. Gan, Z. Guan, Y.S. Poon, Z. Ran, D. Rush
Analysis
Research activities in this area include Functional Analysis, Partial Differential Equations, Operator Algebras, Several Complex Variables, Probability Theory, Mathematical Physics, Fractal Geometry and Dynamical Systems, and Approximation Theory.
Faculty: M. Asaeda, J. Baez, B. Chalmers, L. Ferguson, J. Kelliher, M. Lapidus, M.M. Rao, B. Wong, F. Xu, Q. Zhang
Geometry and Topology
Research activities in this area include Low Dimension Topology, Geometric Topology, Differential Topology, Transformation Group, Riemannian Geometry, Complex Differential Geometry, and Geometric Analysis.
Faculty: M. Asaeda, J. Bergner, Z. Guan, Y.S. Poon, R. Schultz, S. Vidussi, F. Wilhelm, B. Wong, Q. Zhang
Lattice Theory
Faculty: G. Gierz, A. Stralka
Quantum Mathematics
This is a collection of mathematics that has come from work on quantum mechanics, quantum field theory, quantum gravity and string theory. This work connects different branches of mathematics in new and interesting ways. Areas within quantum mathematics include quantum groups, affine Lie algebras, vertex operator algebras, higher categories, new invariants of knots and manifolds, and the relation between number theory and quantum mechanics.
Faculty: M. Asaeda, J. Baez, V. Chari, J. Greenstein, M. Lapidus, F. Xu