Department of Mathematics
University of California San Diego
La Jolla, CA 92093
Pronouns: he/him
Email:
apal@ucsd.edu [PGP]
I work on equivariant algebraic geometry and applications of representation theory to algebraic geometry and commutative algebra.
Starting in October 2026, I will be a postdoctoral researcher in Jerzy Weyman's group at Jagiellonian University. I received my PhD from University of California San Diego where I was advised by Steven Sam.
Research
Recent publications and preprints:
- Cohomology of Flag Superschemes and Syzygies of Compositional Varieties. [arxiv:2606.14953] (2026), submitted
- Syzygies of Isotropic Kalman Varieties (with Suhas Vadan Gondi, Sarah Kumar). [arxiv:2606.02921] (2026), submitted
- Lie superalgebras and Generalized Kazhdan–Lusztig Polynomials. [arxiv:2512.12915] (2025), submitted
Complete list of publications and more details available on the research page.
Upcoming travel
October 2026: Arbeitsgemeinschaft: New Homological Methods in Toric Geometry (Oberwolfach, Germany). Unable to travel (visa issues).- November 2026: Equivariant Commutative Algebra (Kraków, Poland)
Past workshop/conference attendance on the academic activities page.
Teaching
Currently, I have no teaching appointments. Past teaching archive available on the teaching page.