Siddarth Menon

About Me

I'm a PhD student at the University of Cambridge studying analytic number theory and related topics, advised by Joni Teräväinen. I graduated from UC Berkeley in 2024 with degrees in math and computer science, and got my MASt in pure math at Cambridge in 2025.

Research

• [Journal][arXiv] Moments of random multiplicative functions over function fields
  • with M. C. E. Hofmann, A. Hoganson, W. Verreault, A. Zaman
  • Mathematical Proceedings of the Cambridge Philosophical Society. 2025;179(3):785-819.

Lecture Notes

• Part III: Entropy Methods in Combinatorics Lecture Notes: Lecture notes for entropy methods in combinatorics at Cambridge
• Part III: Analytic Number Theory Lecture Notes: Lecture notes for analytic number theory at Cambridge
• Part III: Diophantine Analysis Lecture Notes: Lecture notes for Diophantine analysis at Cambridge
• Part III: Additive Combinatorics Lecture Notes: Lecture notes for introduction to additive combinatorics at Cambridge
• Math 258: Harmonic Analysis Lecture Notes: Lecture notes for graduate harmonic analysis at UC Berkeley.
• Analysis in TCS Bootcamp :Lecture notes from the Analysis in TCS Boootcamp at the Simons Institute in Summer 2023.

Older work

• [Journal][chemRxiv] Digital Twin for Chemical Science: a case study on water interactions on the Ag(111) surface
  • with J. Qian, A. Jana, A. Bogdan, R. Hamlyn, J. Mahl, E. J. Crumlin
  • Nat Comput Sci 5, 793–800 (2025).

• [arXiv] Classifying tractable instances of the generalized cable-trench problem
  • with M. Davis, C. Hammarsten, M. Pasaylo, D. Sheridan

Other expository stuff

• Roth's theorem and the cap-set problem: Final project for combinatorics
• The stationary phase method: Final project for analytic number theory
• The randomly pivoted Cholesky algorithm: Final project for graduate numerical linear algebra
• Dynamic geometric set cover: Final project for graduate combinatorial algorithms

Contact

sm2884 (at) cam (dot) ac (dot) uk