Eric Burkholder

Education:
B.S. Mathematics, Valparaiso University
M.A. Mathematics, University of Kentucky
Biography:

I am a third-year graduate student at the University of Kentucky. My research interests are in algebraic geometry, tropical geometry, and combinatorics. My actual website can be found here.

Office Hours

My office hours vary by semester, but you can always make an appointment with me via my booking page at this link.

Currently Teaching

MA 111: Introduction to Contemporary Mathematics

Previously Taught

Fall 2022: MA 110: Algebra and Trigonometry for Calculus

Spring 2023: MA 162: Finite Math and Its Applications

Summer 2023: MA 113: Calculus I

Fall 2023: MA 123: Elementary Calculus and Its Applications

Spring 2024: MA 123: Elementary Calculus and Its Applications (Lead TA)

Fall 2024: MA 201: Mathematics for Elementary Education

Selected Publications:

Published work:

Aguillon, Y., Burkholder, E., Cheng, X., Eddins, S., Harrell, E., Kozai, K., ... \& Morales, P. (2023). Linking number of monotonic cycles in random book embeddings of complete graphs. Journal of Knot Theory and Its Ramifications, 2350043.

Submitted work:

Aono, H., Burkholder E., Craig, O., Dikobe, K., Jensen, D., Norris, E. (2025). Refined Brill-Noether Theory for Complete Graphs. arXiv preprint arXiv:2501.06083

Other work:

Barua, C., Burkholder, E., Fragoso, G., \& Szaniszlo, Z. (2022). Analyzing a Graph Theory Game. arXiv preprint arXiv:2208.05147.