معرفی
Kevin Purbhoo is an Associate Professor in the Combinatorics & Optimization Department at the University of Waterloo. His research focuses on algebraic geometry, algebraic combinatorics, and representation theory, with a particular emphasis on enumerative algebraic geometry. He has taught courses such as CO 431/631 (Symmetric Functions), Math 249, and CO 631 across multiple terms since 2007. His work bridges combinatorial, algebraic, and geometric techniques to address problems in enumerative geometry. Notable contributions include studies on Schubert calculus, Wronskian maps, and crystal-like structures on tableaux.
Research Interests: Purbhoo's research spans algebraic geometry, with a focus on enumerative problems involving geometric configurations. He explores connections between algebraic structures (e.g., Schubert varieties, Grassmannians) and combinatorial objects (e.g., tableaux, puzzles). His work on the Shapiro-Shapiro conjecture and Wronskian operators exemplifies this interdisciplinary approach. Recent projects include investigations into rigid matroid categories and positivity phenomena in real Schubert calculus.
Teaching: Purbhoo has extensive teaching experience in combinatorics and optimization courses at both undergraduate and graduate levels. Recent courses include CO 431/631 (Symmetric Functions) in Fall 2023 and prior terms covering topics like Math 239 (Introduction to Combinatorics) and CO 434/634 (Algebraic Combinatorics).
Publications: His 15 most recent articles reflect work in algebraic geometry and combinatorics, including studies on Schubert curves, matroid categories, and Wronskian maps. These contributions highlight his expertise in leveraging algebraic and combinatorial tools to solve geometric problems.
