Research

Publications

• 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)
• Goel, G., & Sah, A. (2026). Majority Dynamics on sparse random graphs.
  (pdf) (arXiv) (essay) (proof atlas)

Current Work

• I work on applied AI at Rox.

Earlier Projects

• At MIT, I worked on a theoretical physics project under Hong Liu, joint with Owen Dugan, using Prof. Liu’s framework for effective field theory for hydrodynamics to study anomalies in superfluids. The project was unfinished.