I've worked mostly so far in incidence geometry, Euclidean Ramsey theory and extremal set theory, but am always looking for interesting new problems in other areas of combinatorics. I especially enjoy topics that blend together different areas of math. If you think you have a problem that I might be interested in, don't hesitate to reach out!
Preprints (reverse chronological):
[3] G. Currier, J. Solymosi, Many unit distances requires many directions, preprint (2025) Arxiv
[2] G. Currier, J. Solymosi, H. Yu, On the structure of extremal point-line arrangements, preprint (2024) Arxiv
[1] G. Currier, Sharp Szemerédi-Trotter constructions from aribitrary number fields, preprint (2023) Arxiv
Publications (reverse chronological):
[7] G. Currier, K. Moore, C. H. Yip, Avoiding short progressions in Euclidean Ramsey theory, accepted to J. Combin. Theory Ser. A. (2025) Arxiv
[6] G. Currier, S. Shahriari, 3-cluster-free families of subspaces, accepted to the Electronic Journal of Combinatorics (2025) Arxiv
[5] G. Currier, K. Moore, C. H. Yip, Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions, Combinatorica 44, 1367-1380 (2024) Arxiv Journal
[4] G. Currier, J. Solymosi, E. P. White, Additive structure in convex translates, European Journal of Combinatorics 118, (2024) Arxiv Journal
[3] G. Currier, New results on simplex-clusters in set systems, Combinatorica 41, 495-506 (2021) Arxiv Journal
[2] G. Currier, On the d-cluster generalization of Erdős-Ko-Rado, J. Combin. Theory Ser. A. 182 (2021) Arxiv Journal
[1] P. Burkhardt, A. Z.-Y. Chan, G. Currier, S. R. Garcia, F. Luca, H. Suh, Visual properties of generalized Kloosterman sums, J. Number Theory 160, 237-253 (2016) Arxiv Journal