6 papers
Lifting Prym Divisors on a Bielliptic Loop of Loops
Phew Aung, Eric Burkholder, Joan Dalton +5
Let be a bielliptic curve over an algebraically closed nonarchimedean field of odd characteristic or characteristic zero, and let be an étale dou…
Active Learning vs Traditional Lecturing in Introductory Mechanics: A Pooled Pass-Rate Benchmark Under Common Departmental Assessments from a Latin American Institutional Change Initiative
Isaac Pérez Castillo, Lidia Jiménez Lara, Orlando Guzman +6
Improving student success in introductory physics remains a persistent challenge despite substantial progress from research-based instructional practices. Evidence from the Latin A…
Relating Different Definitions of Linear Series on Tropical Curves
Eric Burkholder
We investigate relationships among several recent notions of linear series on tropical curves, including tropical linear series, strongly recursive tropical linear series of Farkas…
Refined Brill-Noether Theory for Complete Graphs
Haruku Aono, Eric Burkholder, Owen Craig +3
The divisor theory of the complete graph is in many ways similar to that of a plane curve of degree . We compute the splitting types of all divisors on the complete graph…
Linking number of monotonic cycles in random book embeddings of complete graphs
Yasmin Aguillon, Eric Burkholder, Xingyu Cheng +5
A book embedding of a complete graph is a spatial embedding whose planar projection has the vertices located along a circle, consecutive vertices are connected by arcs of the circl…
The Game of Cycles for Grids and Select Theta Graphs
Christopher Barua, Eric Burkholder, Gabriel Fragoso +1
We are investigating who has the winning strategy in a game in which two players take turns drawing arrows trying to complete cycle cells in a graph. A cycle cell is a cycle with n…