Research

I'm interested in model theory as it relates to combinatorics and other fields. So far, my research has primarily been about distal structures, including o-minimal structures and the p-adics. I've worked on combinatorial applications of distality, and on studying distal metric structures in continuous logic.

My Ph.D. thesis, Distality in Combinatorics and Continuous Logic, is available on [eScholarship].

Papers

  1. Logical Perspectives On Learning Statistical Objects with Michael Benedikt
    [arXiv]
  2. Generically Stable Measures and Distal Regularity in Continuous Logic
    [arXiv]
  3. NIP and Distal Metric Structures
    Accepted, Israel Journal of Mathematics [arXiv]
  4. Combinatorial Bounds in Distal Structures
    Accepted, Journal of Symbolic Logic [doi][arXiv]
  5. The Fraïssé limit of matrix algebras with the rank metric
    [arXiv]