University of St. Thomas - Minnesota

output

20032025

most citedKnot Tightening By Constrained Gradient Descent

72 citations

28 papers

math.NT2025

Local data of elliptic curves under quadratic twist

Alexander J. Barrios, Manami Roy, Nandita Sahajpal +3

Let $K$ be the field of fractions of a complete discrete valuation ring with a perfect residue field. In this article, we investigate how the Tamagawa number of $E / K$ changes under…

math.NT2022★ 2 cited

Explicit classification of isogeny graphs of rational elliptic curves

Alexander J. Barrios

Let $n > 1$ be an integer such that $X_{0} (n)$ has genus $0$ , and let $K$ be a field of characteristic $0$ or relatively prime to $6 n$ . In this article, we explicitly…

physics.flu-dyn2022★ 6 cited

Enhancement of heat and mass transfer by herringbone microstructures in a simple shear flow

Yanxing Wang, Hui Wan, Tie Wei +1

The heat and mass transfer characteristics in a simple shear flow over staggered herringbone structures are numerically investigated with the lattice Boltzmann method. Two flow mot…

stat.OT2022★ 5 cited

Teaching modeling in introductory statistics: A comparison of formula and tidyverse syntaxes

Amelia McNamara

There are many pedagogical considerations for incorporating programming into a statistics course. When using the programming language R, one consideration is the particular R synta…

math.CO2021★ 9 cited

A web basis of invariant polynomials from noncrossing partitions

Rebecca Patrias, Oliver Pechenik, Jessica Striker

The irreducible representations of symmetric groups can be realized as certain graded pieces of invariant rings, equivalently as global sections of line bundles on partial flag var…

math.CO2021★ 4 cited

Tableau evacuation and webs

Rebecca Patrias, Oliver Pechenik

Webs are certain planar diagrams embedded in disks. They index and describe bases of tensor products of representations of $sl_{2}$ and $sl_{3}$ . There are explic…