معرفی
Tom Braden is a Professor and Director of the Graduate Program in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. His research focuses on the topology of singular algebraic varieties, particularly those with combinatorial structures such as toric and Schubert varieties. He employs intersection cohomology and other topological invariants to explore connections between algebraic geometry and combinatorics.
Braden holds a Ph.D. from the Massachusetts Institute of Technology (1995), a Cambridge University Part III Mathematics Tripos (1991), and a B.A. from the University of Chicago (1990).
His research interests include algebraic topology and geometry, with an emphasis on singular varieties, intersection cohomology, and perverse sheaves. He investigates Schubert and toric varieties, symplectic resolutions, and their combinatorial applications. His work often bridges algebraic geometry, representation theory, and combinatorics, leveraging equivariant methods to uncover deeper structural relationships.
Braden's recent publications explore foundational questions in algebraic geometry and topology, including the Dowling-Wilson conjecture, intersection cohomology of matroids, and quantizations of symplectic resolutions. His work often combines geometric and combinatorial techniques, with notable contributions to hypertoric varieties, perverse sheaves, and category O structures.
Braden actively collaborates with researchers in algebraic geometry and combinatorics. While specific advising details are not provided, his research group likely focuses on interdisciplinary projects at the intersection of topology and combinatorics. Grants and funding sources are not detailed in the provided texts.
