Eric Burkholder
M.A. Mathematics, University of Kentucky
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.
My office hours vary by semester, but you can always make an appointment with me via my booking page at this link.
MA 111: Introduction to Contemporary Mathematics
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
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.