Hello!

I’m Gahl, a second year math PhD student at the University of Michigan. Before this I earned a pure math B.S. from UCSB in the College of Creative Studies. I’m currently learning about group (co)homology with an eye towards the high-degree rational cohomology of arithmetic groups.

I’m grateful to be partially supported by a Rackham Merit Fellowship (Rackham Science Award).

Beyond learning and doing math, I greatly enjoy teaching math, playing soccer, reading, lifting, skiing, hiking, thrifting, and speaking Hebrew & French.

Do not hesitate to reach out!

Teaching

• UM Math 115 (Fall 2023, Winter 2024)

Expository

• An intro to vanishing theorems in local cohomology, written as a final project for UM Math 614 (Commutative Algebra), Fall 2023.

Papers

• Topology of augmented bergman complexes with E. Bullock, A. Kelley, V. Reiner, K. Ren, D. Shen, B. Sun, A. Tao, and Z. Zhang (published in the Electronic Journal of Combinatorics).
• On the Cauchy transform of the complex power function with B. Faktor and M. Kuhn (published in Ball State Mathematics Exchange).
• Modular principal series representation of GL2 over finite rings (draft).
• Lattice models and puzzles for Dual Weak symmetric Grothendieck Polynomials with E. Bullock, N. Caplinger, A. Chin, N. Davis, and C. Frechette (draft).

Talks

• Michigan REU Talk: Understanding the Principal Series Representation of GL_2(F_p[t]/(t^r))
• UM Student Commutative Algebra: Progress in Big & Small Cohen Macaulay Modules (Mar 2024)
• UM Student Commutative Algebra: Introduction to Group Cohomology (Oct 2024)
• UM Student Dynamics/ Geometry/ Topology: Poincare Duality Groups (Nov 2024)