I do research in both geometric and topological functional analysis, with special emphasis on orbifolds, groupoids, stratifications inertia spaces, noncommutative geometry, k-graphs and associated wavelets.
orbifolds, compact group actions, stratified spaces, differential structures, k-graphs
MATH 2400 - Calculus 3
Continuation of MATH 2300. Topics include vectors, three-dimensional analytic geometry, partial differentiation and multiple integrals, and vector analysis. Department enforced prerequisite: MATH 2300 or APPM 1360 (minimum grade C-). Degree credit not granted for this course and APPM 2350.
MATH 3001 - Analysis 1
Spring 2018 / Spring 2019
Provides a rigorous treatment of the basic results from elementary Calculus. Topics include the topology of the real line, sequences of numbers, continuous functions, differentiable functions and the Riemann integral.
MATH 6210 - Introduction to Topology 1
Introduces elements of point-set topology and algebraic topology, including the fundamental group and elements of homology. Department enforced prerequisites: MATH 2130 and MATH 3140 and MATH 4001. Instructor consent required for undergraduates.