معرفی
Jake Levinson is an Assistant Professor in the Department of Mathematics at Simon Fraser University, Faculty of Science. His research bridges algebraic geometry and combinatorics, focusing on the interplay between geometric structures and discrete mathematics.
Levinson's primary research interests include:
- Algebraic Geometry, particularly moduli spaces of stable curves (M_{0,n}), Hilbert schemes, and intersection theory.
- Algebraic Combinatorics, with emphasis on Schubert calculus, Young tableaux, crystal structures, and combinatorial aspects of representation theory.
- Representation Theory of GL_n, flag and Grassmannian varieties, and equivariant cohomology.
His recent publications reveal a strong trend in studying the combinatorial geometry of moduli spaces, especially M_{0,n}, through degenerations, multidegrees, and products of cohomology classes. He also investigates crystal-like structures on shifted tableaux and topological proofs of conjectures in real algebraic geometry. Collaborations with Maria Gillespie, Kevin Purbhoo, and Sean T. Griffin are frequent, indicating active research networks in combinatorial algebraic geometry.
Levinson teaches advanced courses such as Math 819 Topics in Algebraic Geometry: Schemes, using foundational texts by Hartshorne and Vakil. His educational background includes a Ph.D. from the University of Michigan advised by David Speyer, an NSERC Postdoctoral Fellowship at LaCIM, and an Acting Assistant Professorship at the University of Washington. He also spent a year as an AI Resident at Google Research, reflecting an interdisciplinary reach. His undergraduate studies were at Williams College, with formative experiences at Budapest Semesters in Mathematics and the SMALL REU program.
He has not received any scientific awards mentioned in the text. He does not appear to have advised any students listed publicly. He is involved in computational mathematics, having run a Lean workshop, and maintains an interest in mathematical exposition and public engagement through blog posts and mini-courses on Schubert calculus.
