Papers

Publications

1. K. Gomez, Zeros of Hecke polynomials arising from weak eigenforms, International Journal of Number Theory, to appear (2026). arXiv: 2509.26519

2. K. Gomez and K. Ono, Hecke polynomials for the mock modular form arising from the Delta-function, Proceedings of the 17th Mathematical Society of Japan’s Seasonal Institute (2025). arXiv: 2506.17178

3. K. Gomez, K. Ono, H. Saad, and A. Singh, Pentagonal number recurrence relations for p(n), Advances in Mathematics, 474 (2025). doi: 10.1016/j.aim.2025.110308. arXiv: 2411.16968

4. K. Gomez, MacMahonesque partition functions detect sets related to primes, arXiv: Archiv der Mathematik, (2025). doi: 10.1007/s00013-025-02109-x. arXiv: 2409.14253.

5. K. Gomez, K. Lakein, and A. Larsen, Supersingular Loci from Traces of Hecke Operators, Proceedings of the American Mathematical Society, 151 (2023), 511-525. doi: 10.1090/proc/16148. arXiv: 2106.15677.

6. K. Gomez, J. Males, and L. Rolen, The second shifted difference of partitions and its applications, Bulletin of the Australian Math Society, 107 (2023), 66-78. doi: 10.1017/S0004972722000764. arXiv: 2203.11608.

7. K. Bringmann, K. Gomez, L. Rolen, Z. Tripp, Infinite families of crank functions, Stanton-type conjectures, and unimodality, Research in Mathematical Sciences, 37 (2022). doi: 10.1007/s40687-022-00333-3. arXiv: 2108.12979.

8. K. Gomez and E. Zhu, Bounds for Coefficients of the f(q) Mock Theta Function and Applications to Partition Ranks, Journal of Number Theory, 226 (2021), 1-23. doi: 10.1016/j.jnt.2021.01.009. arXiv: 2008.08253.

Non-Math

1. R. Pitasky, K. Gomez, J. Cesarz, A Secondhand Understanding of Reality: Infinite Craft Subtleties, in SIGBOVIK, 2024 (2024), 448-468. online: pdf.

2. K. Gomez, M. Benton, L. Colbran, L. Chen, J. Capra, Development of a Machine Learning Algorithm for the Prediction of Enhancer Region Activity, Young Scientist, 8 (2018), 7-9. online: pdf.