output
20092025
most citedMinimal presentations of shifted numerical monoids

13 citations

9 papers

cs.CY2025

Data and Technology for Equitable Public Administration: Understanding City Government Employees' Challenges and Needs

Angie Zhang, Madison Liao, Elizaveta +6

City governments in the United States are increasingly pressured to adopt emerging technologies. Yet, these systems often risk biased and disparate outcomes. Scholars studying publ…

cond-mat.supr-con2025

Enhanced Condensation Through Rotation

Maxim Chernodub, Frank Wilczek

We argue that rotation of a thin superconducting cylinder can increase the critical superconducting temperature substantially. A purely rotational effect originates from the tenden…

math.GT2022★ 2 cited

Linking number and folded ribbon unknots

Elizabeth Denne, Troy Larsen

We study Kauffman's model of folded ribbon knots: knots made of a thin strip of paper folded flat in the plane. The folded ribbonlength is the length to width ratio of such a folde…

math.NT2021

Monodromy Groups of Dessins d'Enfant on Rational Triangular Billiards Surfaces

Madison Mabe, Richard A. Moy, Jason Schmurr +1

A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface, and the monodromy group is an algebraic invariant of the dessin generated by rotations of edges…

math.GN2019

Cayley Graphs on Billiard Surfaces, and Their Genus

Jason Schmurr, Jaime Lynne McCartney, Joanna Grzegrzolka

In this article we discuss a connection between two famous constructions in mathematics: a Cayley graph of a group and a (rational) billiard surface. For each rational billiard sur…

math.NT2018

Shabat Polynomials and Monodromy Groups of Trees Uniquely Determined by their Passport

Naiomi Cameron, Mary Kemp, Susan Maslak +4

A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface. Acyclic dessins can be described analytically by pre-images of certain polynomials, called Shaba…

math.AC2017★ 13 cited

Minimal presentations of shifted numerical monoids

Rebecca Conaway, Felix Gotti, Jesse Horton +4

A numerical monoid is an additive submonoid of the non-negative integers. Given a numerical monoid , consider the family of "shifted" monoids obtained by adding to eac…

math.DS2011★ 2 cited

Laminations in the language of leaves

Alexander M. Blokh, Debra Mimbs, Lex G. Oversteegen +1

Thurston defined invariant laminations, i.e. collections of chords of the unit circle (called \emph{leaves}) that are pairwise disjoint inside the open unit disk and satisfy…

nucl-th2009★ 8 cited

Eulerian Rotations of Deformed Nuclei for TDDFT Calculations

D. A. Pigg, A. S. Umar, V. E. Oberacker

We discuss three practical methods for performing Eulerian rotations of Slater determinants in a three-dimensional Cartesian geometry. In addition to the straightforward applicatio…