Topological Methods in Zero-Sum Ramsey Theory
Published in Forum of Mathematics, Sigma, 2025
Joint work introducing topological methods for zero-sum problems building on the Erdős-Ginzburg-Ziv theorem, including a topological criterion for zero-sum hyperedges in ℤ/n-colorings of n-uniform hypergraphs, a fractional generalization of the EGZ theorem, and a constrained EGZ theorem restricting the combinatorics of zero-sum sequences.
Recommended citation: Frick, F., Lehmann Duke, J., McNamara, M., Park-Kaufmann, H., Raanes, S., Simon, S., Thornburgh, D., and Wellner, Z. (2025). "Topological methods in zero-sum Ramsey theory." Forum of Mathematics, Sigma, 13, e192. https://doi.org/10.1017/fms.2025.10125
Download Paper