معرفی
Samuel Evens is a Professor and Director of Graduate Studies in the Department of Mathematics at the University of Notre Dame. He holds a B.S. from Haverford College (1984) and a Ph.D. from the Massachusetts Institute of Technology (1988). His research focuses on representation theory of Lie groups, geometry, and their interplay with Poisson geometry and perverse sheaves. He explores geometric techniques to construct representations and analyze their properties, particularly branching rules for infinite-dimensional representations and microlocal invariants. Collaborations, such as with Jiang-Hua Lu on Poisson harmonic forms and Lagrangian subalgebras, highlight his work on geometric structures in cohomology and symmetric spaces.
Key research areas include the application of geometrical methods from Beilinson, Bernstein, and Lusztig to representation theory, as well as the study of flag varieties, orbits, and integrable systems like the Gelfand–Zeitlin system. His work bridges algebraic geometry, Lie theory, and symplectic geometry, with contributions to spectral sequences, cohomology products, and the structure of Lagrangian subalgebras. Recent studies address orbits in flag varieties, compactifications of Lie algebra structures, and the Bruhat order's role in geometric configurations.
Publications span over three decades, addressing topics from the Iwahori-Matsumoto involution to Belkale-Kumar products and eigenvalue multiplicities. Evens' research emphasizes the interplay between algebraic, geometric, and topological frameworks to advance representation theory and related fields.
