Jake Levinson

Jake Levinson is an Assistant Professor in the Department of Mathematics and Statistics at Université de Montréal. His research focuses on algebraic geometry and algebraic combinatorics, with particular interests in moduli spaces, Schubert calculus, toric varieties, and equivariant free resolutions. He previously held positions at Simon Fraser University (2020–2023), the University of Washington (2017–2020), and completed a postdoctoral fellowship at LaCIM (UQAM). His Ph.D. from the University of Michigan (2017) was advised by David Speyer.

Research Interests:
- Algebraic Geometry: Moduli spaces, Schubert calculus, toric varieties, homological algebra.
- Algebraic Combinatorics: Crystal graphs, Young tableaux, representation theory, combinatorial aspects of algebraic geometry.
- Recent work includes studies on Schubert curves, Springer fibers, and applications of algebraic methods to problems in combinatorics and theoretical computer science.

Teaching:
- Taught MAT 6620 (Algebraic Geometry: Schemes) at Université de Montréal (Winter 2024).
- Previously taught courses on intersection theory, representation theory, and Lean formal proof systems.

Key Contributions:
- Developed combinatorial models for Schubert curves using crystals and tableaux.
- Contributed to Boij-Söderberg theory for Grassmannians and studies of class groups in algebraic geometry.
- Collaborated on projects linking algebraic geometry to neural networks and random matrix theory.