Curriculum Vitae

Education

• PhD in Mathematics, University of Virginia, in progress.
• BA in Mathematics, University of California, Berkeley, 2020.

Preprints

• Liles, L. and McSpirit, E. Lattice Cohomology and Quantum Modular Forms. In preparation.

• McSpirit, E. and Ono, K. Hypergeometry and the AGM over Finite Fields. Contemporary Mathematics, American Mathematical Society. In preparation.

• McSpirit, E. Swinnerton-Dyer and the Ramanujan Congruences for τ(n). Ramanujan Handbook by Springer. Accepted for publication.

• McSpirit, E. K3 Surfaces and Ramanujan’s Sum of Two Cubes. Ramanujan Handbook by Springer. Accepted for publication.

Publications

1. McSpirit, E. and Ono, K. Zeros in the Character Tables of Symmetric Groups with an ℓ-Core Index. Canadian Mathematical Bulletin, 66(2), 467-476. doi:10.4153/S0008439522000443. arXiv:2205.09614

2. McSpirit, E. and Scheckelhoff, K. On the Number of 2-Hooks and 3-Hooks of Integer Partitions. Bulletin of the Australian Mathematical Society (2022): 1-8. doi:10.1017/s0004972722000739. arXiv:2108.11016

3. Lin, A. McSpirit, E. and Vishnu, A. Algebraic Relations Between Partition Functions and the j-Function. Research in Number Theory 6, 2 (2020). doi:10.1007/s40993-019-0177-7. arXiv:1907.07763

Talks

• “On the Number of 2-Hooks and 3-Hooks of Integer Partitions” – JMM 2022 AMS Special Session on Modular Forms and Combinatorics

• “Zeros in the Character Tables of Symmetric Groups” – Spring 2023 Texas Number Theory and Combinatorics Seminar

Teaching and Mentorship

• Mentor for the Directed Reading Program at the University of Virginia. Project on the relationship of partitions to the representation theory of the symmetric group. Fall 2022.

• Mentor for University of Virginia REU in Number Theory, Summer 2022. Advised a project on congruences of McKay numbers of $S_n$, which ultimately resulted in a paper by A. Hoganson and T. Jaklitsch which can be found here: On Certain McKay Numbers of Symmetric Groups

• Instructor of record for MATH 1320 (Calculus II), Spring 2023, University of Virginia

• Instructor of record for MATH 1220 (A Survey of Calculus II), Spring 2022, University of Virginia

• Instructor of record for MATH 1210 (A Survey of Calculus I), Fall 2021, University of Virginia

• Teaching Assistant for MATH 3315 (Advanced Calculus and Linear Algebra), Spring 2021, University of Virginia

• Teaching Assistant for MATH 1190 (A Survey of Calculus I with Algebra), Fall 2020, University of Virginia

Honors and Awards

• Dean’s Doctoral Fellowship, University of Virginia