Andrew Ortegaray

Caltech

I've been working at Wolfram Research for the past year on projects involving number theoretic transforms and fast multipole methods. Before that, I graduated from Caltech in math and physics. My current interests and projects include quadratic residues, Heegaard Floer homology, certain geodesic problems on compact manifolds, adapting a version of ripser, and how to convert guitar and ukulele tabs.

Papers

  • Heat Kernel Analysis of Syntactic Structures
    (with R. Berwick and M. Marcolli), Mathematics in Computer Science, Vol. 15 (2021), 643–660
  • Phylogenetics of Indo-European Language Families via an Algebro-Geometric Analysis of Their Syntactic Structures
    (with K. Shu, R. Berwick, and M. Marcolli), Mathematics in Computer Science, Vol. 15 (2021), 803-857

    • Seminars and Workshops

  • "Southeastern Undergraduate Mathematics Workshop" | Georgia Tech | August 5, 2019 - August 9, 2019
  • "Holomorphic Differentials in Mathematics and Physics" | MSRI | August 19, 2019 - August 23, 2019
  • "Microlocal Analysis" | MSRI | September 3, 2019 - September 6, 2019
  • "Number Theory Series in Los Angeles I" | Occidental College | October 26, 2019 - October 27, 2019
  • "Wolfram Summer Workshop" | Wolfram Research | June 2020 - August 2020
  • "Geometry and Mathematical Physics Workshop" | Boston University/Keio University/Tsinghua University | June 27, 2021 - July 1, 2021
  • "PCMI Summer Workshop: Motivic Homotopy" | Park City Mathematics Institute | July 12, 2021 - July 16, 2021

    • Teaching

  • Ph 1c (Intermediate E&M) | Spring '18 [TA]
  • Ma 0 (Introduction to Proofs) | Summer '18 [TA]
  • Ph 1a (Introductory Classical Mechanics) | Fall '18 [TA]
  • Ph 1b (Special Relativity /Introductory E&M) | Winter '18-'19 [TA]
  • Ph 2c (Introductory Statistical Mechanics) | Spring '19 [TA]
  • Ma 0 (Introduction to Proofs) | Summer '19 [TA]
  • Ma 5a (Introduction to Proofs) | Fall '19 [TA]

    • CV

    My CV can be found here.

    Contact

  • Current Area: Seattle, WA
  • E-mail: drewaray {at} alumni {dot} caltech {dot} edu
  • Phone: (786) 816 - 5922