Hello!

I’m Gahl, a first year math PhD student at the University of Michigan. Right before this I earned a pure math B.S. from UCSB in the College of Creative Studies. My mathematical interests lie mostly in commutative algebra and representation theory, although I also have interests in topology and I’m still figuring out the specifics.

Beyond learning and doing math, I greatly enjoy teaching math, playing soccer, reading, going on runs, skiing, hiking, thrifting, speaking Hebrew and French, and walking around big cities.

Do not hesitate to reach out to me at any time if you have suggestions for study or just to chat :-P

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 (in progress).
• Lattice models and puzzles for Dual Weak symmetric Grothendieck Polynomials with E. Bullock, N. Caplinger, A. Chin, N. Davis, and C. Frechette (in progress).

Talks

• Michigan REU Talk: Understanding the Principal Series Representation of GL_2(F_p[t]/(t^r))