Sanay Sehgal

Math sophomore · Columbia University

ss7675 (at) columbia (dot) edu

Research

I’m primarily interested in problems between geometric combinatorics, commutative algebra, and algebraic geometry.

currently working on truncated Plücker maps, GL-algebras in positive characteristic, and Richard Stanley’s h-vector conjecture.

to accompany this work, I also work on equivariant learned searches in algebraic spaces.

Papers

  • Forests and Plücker truncations in even characteristicPreprint available upon request

Background

  • 2026

    University of California, San Diego

    Summer research with Steven Sam and Karthik Ganapathy.

  • 2023–2025

    Reed College

    Student research with David Perkinson as a Reed Young Scholar.

Coursework

Reed College · during high school

  • abstract algebra (332)
  • algebraic combinatorics (372)
  • manifolds (341)
  • vector calculus (202)

Columbia University

completed

  • honors math A (1207)
  • modern algebra I (4041)
  • modern algebra II (4042)
  • modern analysis I (4061)

fall 2026 · in progress

  • commutative algebra (6261)
  • complex analysis (4065)
  • topology (4051)