Research

Goel, G., & Ahn, A. (2019). Discrete derivative asymptotics of the β-Hermite eigenvalues. Combinatorics, Probability and Computing, 28(5), 657-674. (pdf) (arXiv) (online)
Goel, G., & Perkinson, D. (2019). Critical groups of iterated cones. Linear Algebra and its Applications, 567, 138-142. (pdf) (arXiv) (online)
Goel, G., & Franklin, J. (2019). Finite and half-infinite solenoids and the Aharonov-Bohm effect. American Journal of Physics, 87, 862-867. (online)
Goel, G., & Yao, A. (2023). A Quantized Analogue of the Markov–Krein Correspondence. International Mathematics Research Notices, 2023(6), 4805-4838. (pdf) (arXiv) (online) (slides)
Goel, G., & McGough, O., & Perkinson, D. (2023). Counting weighted maximal chains in the circular Bruhat order. Journal of Combinatorial Theory, Series A, 195. (pdf) (arXiv) (online)

I’m working on a theoretical physics project under Hong Liu, joint with Owen Dugan. We’re using Prof. Liu’s recent framework for effective field theory for hydrodynamics to try to analyze anomolies in superfluids.
I’m working on a combinatorics project under Ashwin Sah and Mehtaab Sawhney. I’m using graph counting formulas to analyze sparse majority dynamics.