معرفی
Thomas Lam is a professor of mathematics at the University of Michigan, specializing in algebraic combinatorics, total positivity, and connections to mathematical physics. His work bridges cluster algebras, positive geometry, and integrable systems, with applications to scattering amplitudes in quantum field theory. Lam has collaborated extensively with physicists such as Nima Arkani-Hamed and mathematicians like Pavlo Pylyavskyy and Mark Shimozono.
- Key research areas: Cluster algebras, total positivity, electrical networks, positroid varieties, and quantum cohomology.
- Notable contributions: Defining polypositroids, proving regularity theorems for totally nonnegative flag varieties, and establishing cluster structures in braid varieties.
- Recent work focuses on positive geometries, including the amplituhedron and moduli spaces of points on projective lines, with implications for particle physics.
- His articles often explore dual graded graphs, K-theoretic Schubert calculus, and the interplay between combinatorics and algebraic structures.
- Lam's research has been supported by NSF grants, including DMS-0748636 and DMS-1249708.
۰مقاله منتشرشده
