About

Henry Twiss

Mathematics Undergraduate – University of Minnesota

The Modular Perspective started as a place to put down my mathematical thoughts. It has expanded to include an achieve of notes, a list of text resources, and an ever-expanding collection of interesting exercises. A large part of mathematics is learning about how to present and write about it; this blog has helped (and still does help) me with developing these skills.

I am a fourth year mathematics major at the University of Minnesota Twin Cities (UMN). My primary interests are in analytic and algebraic number theory. I am currently invovled in two research projects. The first is under UMN PhD candidates A. Hardt and E. Tibor in collaboration with two other undergraduates. This is a continuation of research regarding the alcove walk model conducted at UMN’s summer 2020 REU in algebra, combinatorics, and representation theory. We are expecting a preprint to appear on arXiv before December 2021. The second project (my senior thesis) involves characterizing the real and imaginary roots of a family of indefinite Kac-Moody Lie algebras. As of November 2020, the imaginary roots have been characterized, and I expect to complete this project by May 2021.

I am a 2020 Goldwater scholar.


  • Current Institution: University of Minnesota Twin Cities.
  • Advisor: Adrian Diaconu.
  • Download my CV here.