I am a 4th year mathematics PhD student at the University of South Carolina advised by Joshua Cooper. My favorite problems tend to be extremal problems in hypergraph theory and 2-graph theory. (For the uninitiated, a 2-graph is a graph and 2 is {{}, {{}}}, i.e., the empty graph.)
Isaiah Hollars
isaiah.hollars@sc.edu
Department of Mathematics
University of South Carolina
1523 Greene Street
Columbia, SC
Papers
- A natural bijection for contiguous pattern avoidance in words. Julia Carrigan, Isaiah Hollars, Eric Rowland. (Published in Discrete Mathematics)
- Pancyclicity in hypergraphs with large uniformity. Teegan Bailey, Isaiah Hollars, Yupei Li, Ruth Luo. (Submitted)
- Small q-kernels in digraphs with minimum in-degree δ. Geoffrey Boyer, Matt Burnham, Daniela Černá, Stephen G. Hartke, Isaiah Hollars, Joel Jeffries, Sydney Miyasaki, Tobias Timofeyev. (Submitted)
- Hitting all maximal independent sets in c-hollow graphs. Joshua Cooper, Isaiah Hollars. (Submitted)
Talks
- Finding small clique-transversals for c-thickgraphs - USC Graduate Colloquium Spring 2025
- Hedetniemi's homomorphisms - USC Graduate Colloquium Fall 2025
- No MIS missed - USC Graduate Colloquium Fall 2026
- Small q-kernels in digraphs with minimum in-degree δ. - UNCW Combinatorics and Probability Seminar Spring 2026
- Pancyclicity in hypergraphs with large uniformity. - 34th Cumberland Conference Spring 2026
Teaching
- Calculus 2 Recitation Leader - Fall 2023
- Calculus 1 Recitation Leader - Spring 2024
- Finite Mathematics Instructor of Record - Fall 2024
- Business Calculus Instructor of Record - Spring 2026