CV
Education
- Ph.D. in Mathematics, University of Virginia, expected 2027.
- B.A. in Mathematics, Vanderbilt University, 2022.
- B.S. in Computer Science, Vanderbilt University, 2022.
Publications
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.
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
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.
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.
Talks
- Graduate Student Seminar, University of Virginia – September 2024
- AMS Fall Central Sectional Special Session on Additive Number Theory and Modular Forms, University of Texas - San Antonio – September 2024
- Graduate Student Seminar, University of Virginia – September 2023
- Joint Mathematics Meetings PME Virtual Poster Session – May 2022
- Honors Senior Thesis Defense, Vanderbilt University – May 2022
- PAlmetto Joint Arithmetic, Modularity, and Analysis Series – December 2020
Teaching
- Instructor of Record for MATH 1210 (Calculus I), Fall 2024, University of Virginia
- Instructor of Record for MATH 1220 (Calculus II), Spring 2024, University of Virginia
- Instructor of Record for MATH 1310 (Calculus I), Fall 2023, University of Virginia
- Teaching Assistant for MATH 1320 (Calculus II), Spring 2023, University of Virginia
- Teaching Assistant for MATH 1320 (Calculus II), Fall 2022, University of Virginia
- Teaching Assistant for CS 2212 (Discrete Math), Spring 2021, Vanderbilt University
- Teaching Assistant for CS 2212 (Discrete Math), Fall 2020, Vanderbilt University
Honors and Awards
- Dean’s Doctoral Fellowship, University of Virginia
- Wilson & Nellie Pyle Miser Award, Vanderbilt University