Theo McKenzie Hello! I am currently an NSF MPS-Ascend Postdoc at Harvard University in the Department of Mathematics. In Fall 2023, I will join the Department of Mathematics at Stanford University as a Science Fellow. In Spring 2022, I graduated from UC Berkeley, where I was very fortunate to be advised by Nikhil Srivastava and Luca Trevisan. My research is on the spectral geometry of discrete graphs. More generally, I am interested in questions motivated by mathematical physics, computer science, and probability theory on graphs. Before coming to Berkeley, I received my bachelor's degree from Harvard and worked as a trader for 2 years. My office is Science Center 226. E-mail: t + lastname at math.harvard.edu CV (updated January 2023)

Papers

• Nodal decompositions of a symmetrix matrix (2023)
  with John Urschel
  arXiv:2305.10598 Submitted


• Explicit two-sided unique-neighbor expanders (2023)
  with Jun-Ting Hsieh, Sidhanth Mohanty, and Pedro Paredes
  arXiv:2302.01212 Submitted


• Quantum ergodicity for periodic graphs (2022)
  with Mostafa Sabri
  arXiv:2208.12685 Submitted


• Many nodal domains in random regular graphs (2021)
  with Shirshendu Ganguly, Sidhanth Mohanty, and Nikhil Srivastava
  arXiv:2109.11532 Commuications in Mathematical Physics Slides


• The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph (2021)
  arXiv:2106.09772 Comptes Rendus Mathématique Slides


• Support of Closed Walks and Second Eigenvalue Multiplicity of Graphs (2020)
  with Peter Rasmussen and Nikhil Srivastava
  arXiv:2007.12819. STOC 2021 Slides


• High-girth near-Ramanujan graphs with lossy vertex expansion (2020)
  with Sidhanth Mohanty
  arXiv:2007.13630. ICALP 2021


• A New Algorithm for the Robust Semi-random Independent Set Problem (2018)
  with Hermish Mehta and Luca Trevisan
  arXiv:1808.03633. SODA 2020 Slides


• Real Stable Polynomials, Description and Application (2015)
  Undergraduate Thesis
  Advised by Péter Csikvári
  Harvard Mathematics Library

Teaching