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

• Moments of random multiplicative functions over function fields
  • Maximilian C. E. Hofmann, Annemily Hoganson, Siddarth Menon, William Verreault, Asif Zaman

• Digital Twin for Chemical Sciences (DTCS): A Blueprint for Digitizing Chemical Characterization
  • Jin Qian, Asmita Jana, Siddarth Menon, Andrew Bogdan, Rebecca Hamlyn, Johannes Mahl, Ethan J. Crumlin

• Classifying tractable instances of the generalized cable-trench problem
  • Mya Davis, Carl Hammarsten, Siddarth Menon, Maria Pasaylo, Dane Sheridan

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.

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