Doctoral dissertation

  • Dimension reduction techniques for noise stability theorems, defended 4 March 2022. Presentation and full pdf available for public dissemination of research.

Publications, pre-prints, and works in preparation

  1. Dimension-free noninteractive simulation from Gaussian sources (with Steven Heilman). pdf available through arXiv.

  2. Three candidate plurality is stablest for small correlations (with Steven Heilman). Forum of Mathematics Sigma. 9 (September 2021). pdf available through Cambridge University Press.

  3. Ranked-choice voting and Gaussian partitions (with Steven Heilman). In preparation.

  4. Detection of moving objects through turbulent media: decomposition of oscillatory vs non-oscillatory spatio-temporal vector fields (with Jerome Gilles et al.). Image and Vision Computing. 73 (May 2018), 40-55. pdf available through Science Direct.

Talks, seminars, and presentations

  • How to run a fair election: the surprising math of social choice theory, Creighton University Guest Seminar Series, September 2022

  • Noninteractive simulation from Gaussian sources, USC Graduate Seminar in Probability, February 2022

  • How to run a fair election: the surprising math of social choice theory, USC MGSA Colloquium, November 2021

  • Optimization tools for probability and statistics: multiple testing and voting theory, USC Graduate Seminar in Probability, April 2021

  • Voting functions and Gaussian partitions: the Plurality Is Stablest conjecture, USC Graduate Seminar in Probability, February 2021

  • Asymptotic optimality of feasible sequential multiple testing procedures, USC Graduate Seminar in Probability, August 2020