3 papers
cs.SC2024
Algorithmic reduction of polynomially nonlinear PDE systems to parametric ODE systems
Siyuan Deng, Michelle Hatzel, Gregory Reid +2
Differential-elimination algorithms apply a finite number of differentiations and eliminations to systems of partial differential equations. For systems that are polynomially nonli…
math.AG2024
The algebraic matroid of the Heron variety
Seth K. Asante, Taylor Brysiewicz, Michelle Hatzel
We introduce the n-th Heron variety as the realization space of the (squared) volumes of faces of an n-simplex. Our primary goal is to understand the extent to which Heron's formul…
math.NT2017
Parseval's Identity and Values of Zeta Function at Even Integers
Asghar Ghorbanpour, Michelle Hatzel
Historically known as the Basel problem, evaluating the Riemann zeta function at two has resulted in numerous proofs, many of which have been generalized to compute the function's…