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Adam Brown

Curriculum vitae

Biography

I am a graduate student at the University of Utah. My current research focuses on the representation theory of Lie algebras and Hecke algberas, as well as computational topology and geometry. I am generally interested in problems relating to geometric representation theory, applied and theoretical harmonic analysis, signal processing, and machine learning. My advisor is Peter Trapa.

In my spare time I enjoy exploring Utah's world renowned desert climbing.

This summer I will be visiting the Pacific Northwest National Laboratory as a participant in the National Security Internship Program.

Research

Non technical research statement
Technical research statement

Publications

  • Sheaf-theoretic stratification learning.
    Adam Brown and Bei Wang.
    International Symposium on Computational Geometry (SOCG), 2018.
    [arXiv:1712.07734]
  • Arakawa-Suzuki Functors for Whittaker modules.
    Adam Brown.
    Preprint.
    [arXiv:1805.04676]

Teaching

Instructor

  • MATH 1010: Intermediate Algebra Fall 2013, Fall 2015
  • MATH 10: Intermediate Algebra Review Spring 2017
  • MATH 1060: Trigonometry Spring 2014
  • MATH 1210: Calculus I Fall 2014, Fall 2016
  • MATH 2200: Discrete Mathematics Summer 2014

Teaching Assistant

  • MATH 3140: Engineering Vector Calculus and PDE's Spring 2015

Presentations

Symposium on Computational Geometry
  • Sheaf-theoretic stratification learning. Summer 2018 Slides

University of Utah Graduate Student Colloquium
  • Applications of intersection homology in representation theory and data science. Spring 2018
  • Topological data analysis: A new frontier (for sheaves). Spring 2017
  • An invitation to harmonic analysis. Spring 2016 Slides
  • A survey of the theory and applications of representations. Fall 2014
  • Applications of representation theory in harmonic analysis. Spring 2013

University of Utah Representation Theory Student Seminar
  • Duality between SL_n and the graded affine Hecke algebra. Fall 2016
  • Weyl character formula. Spring 2015
  • Dirac cohomology of Harish-Chandra modules. Spring 2015
  • Clifford algebras. Spring 2015
  • Introduction to sheaves. Fall 2014
  • Abelian categories. Fall 2014

University of Utah Undergraduate Student Colloquium
  • Applications of representation theory to the heat equation. Spring 2015 Slides
The Leonardo Museum
  • p-Adic numbers: A new way to count. Spring 2017 Slides



Mathematical Expeditions

Mathematical Travel