Adam Brown

Curriculum vitæ
Research statement
Teaching Statement


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. I am generally interested in problems relating to representation theory as well as applied topology. My advisor is Peter Trapa.

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


Research Statement


  • Arakawa-Suzuki Functors for Whittaker modules.
    Adam Brown.
  • Sheaf-theoretic stratification learning.
    Adam Brown and Bei Wang.
    International Symposium on Computational Geometry (SOCG), 2018.
  • Sheaf-theoretic stratification learning from geometric and topological perspectives.
    Adam Brown and Bei Wang.
    In preparation.


Teaching Statement


  • 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


University of Georgia, Algebra Seminar
  • Arakawa-Suzuki functors for Whittaker modules. November 2018

University of Maryland, College Park, Lie Groups and Representations Seminar
  • Arakawa-Suzuki functors for Whittaker modules. September 2018

University of Utah, Number Theory and Representation Theory Seminar
  • Arakawa-Suzuki functors for Whittaker modules. September 2018

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