Joshua Kiers
I'm a Software Developer at Epic in Verona, WI. My research interests include algebraic geometry, representations of Lie algebras, Schubert calculus, and convex geometry.
Advisor: Prakash Belkale
Thesis: Geometric Invariant Theory and Applications to Tensor Products and the Saturation Conjecture
Minors in Physics and Music Composition
Disentangling the Seesaw in the Left-Right Model -- An Algorithm for the General Case
(with K. Kiers, A. Szynkman, and T. Tarutina)
Weight polytopes and saturation of Demazure characters
(with M. Besson and S. Jeralds)
The Kostka semigroup and its Hilbert Basis
(with S. Gao, G. Orelowitz, and A. Yong)
Extremal rays of the equivariant Littlewood-Richardson cone
Electron. J. Combin. 29, no. 3 (2022).
Multiplicity in root components via Geometric Satake
(with M. Besson and S. Jeralds)
Comm. Algebra 50 (2022), 2621-2636.
Vertices of intersection polytopes and rays of generalized Kostka cones
(with M. Besson and S. Jeralds)
Jour. Lie Theory 31 (2021), 1055-1070.
Extremal rays of the embedded subgroup saturation cone
Ann. Inst. Fourier 72 (2022), 511-585.
A proof of the refined PRV conjecture via the cyclic convolution variety
Alg. Rep. Theory 24 (2021), 1313-1323.
Weyl's problem: a computational approach
(with I. Bowser, K. Kiers, and E. Mitchell)
Amer. Jour. Physics 88 (2020), 769-783.
Extremal rays in the Hermitian eigenvalue problem for arbitrary types
(with P. Belkale)
Transform. Groups 25 (2020), 667-706.
On the saturation conjecture for Spin(2n)
Exp. Math. 30 (2021), 258-267.
Extending hypothesis testing with persistence homology to three or more groups
(with C. Cericola, I. Johnson, M. Krock, J. Purdy, and J. Torrence)
Involve 11 (2018), 27-51.
Spring 2023, MAT335, Number Theory.
Spring 2023, MAT315, Differential Equations.
Spring 2023, MAT215, Fundamentals and Special Applications of Calculus.
Fall 2022, MAT310, Linear Algebra.
Fall 2022, MAT305, Calculus and Analytic Geometry III.
Fall 2022, MAT215, Fundamentals and Special Applications of Calculus.
Spring 2022, MATH6112 (recitations), Abstract Algebra II.
Spring 2022, MATH1151 (recitations), Calculus I.
Fall 2021, MATH2568, Linear Algebra.
Spring 2021, MATH6112 (recitations), Abstract Algebra II.
Spring 2021, MATH1151 (recitations), Calculus I.
Fall 2020, MATH1151 (recitations), Calculus I.
Summer 2020, MATH119, Introduction to Mathematical Modeling.
Spring 2020, MAT381, Discrete Mathematics.
Fall 2019, MATH118, Topics in Modern Mathematics.
Summer 2019, MATH533, Elementary Theory of Numbers.
Summer 2018, MATH119, Introduction to Mathematical Modeling.
Spring 2018, MATH130, Precalculus: Functions and Graphs.
Fall 2017, MATH130, Precalculus: Functions and Graphs.
Summer 2017, MATH119, Introduction to Mathematical Modeling.
Spring 2017, MATH118, Topics in Modern Mathematics.
Fall 2016, MATH118, Topics in Modern Mathematics.
Fellow, MAA Project NExT (Red '22 cohort)
Participant, Data Science Boot Camp, Erdős Institute (2021)
Co-organizer, Workshop on "Degeneracy Loci and Applications", Ohio State (2021)
Curriculum Developer, Girls Talk Math, UNC (2017-2018)
Joshua Kiers
+1 608 777 3552
jkiers@epic.com
LinkedIn