About

I am a PhD student at Stanford University.

My research interests are probabilistic, additive, and extremal combinatorics. Especially random thresholds, sparse analogs of classical theorems, and homomorphism inequalities. Some of my favorite tools come from high-dimensional probability and Fourier analysis.

Previously, I was an undergraduate at Brown University where I also obtained a Master’s degree.

Publications and Preprints

  • Linear equations and chromatic thresholds in B_h sets. Preprint (2026). pdf
  • Coloring sparse random Cayley graphs. Preprint (2026). pdf
  • Randomly piercing algebraic sets with Daniel Altman. Preprint (2026). pdf
  • New Sidorenko-type inequalities in tournaments with Xiaoyu He, Nitya Mani, Jiaxi Nie, and Fan Wei. Submitted (2025). pdf
  • Cutting a unit square and permuting blocks. Preprint (2025). pdf
  • Poisson approximation for large permutation groups with Persi Diaconis. Advances in Applied Mathematics Volume 167, Article 102883 (2025). pdf
  • Brain Functional Connectivity Estimation Utilizing Diffusion Kernels on a Structural Connectivity Graph with Jerome Sanes, Eli Upfal, and Ani Eloyan. Preprint (2021). pdf (ASA student paper award)

Teaching

  • Topics in Markov Chains (Graduate) (2 quarters)
  • Stochastic Processes (Graduate) (3 quarters)
  • Theory of Probability (Undergraduate) (6 quarters)
  • Theory of Probability I (Graduate) - Measure Theory (2 quarters)
  • Theory of Probability III (Graduate) - Stochastic Processes and Brownian Motion (1 quarter)

Workshops and Conferences

  • Synergies in Combinatorics and Theoretical Computer Science Conference (Aug 2026)
  • SIAM Discrete Mathematics Conference (Jun 2026)
  • IAS Park City Mathematics Institute Summer School (Jul 2025)
  • Simons Laufer Mathematical Sciences Institute Workshops (Jan-Mar 2025)
  • Cornell Probability Summer School (Aug 2024)
  • SIAM Discrete Mathematics Conference (Jul 2024)
  • Joint Mathematics Meetings (Jan 2024)
  • Random Structures and Algorithms Conference (Jun 2023)
  • Joint Statistical Meetings (Aug 2022)

Erdős number: 2
Contact: ntung [at] stanford [dot] edu