# Curriculum Vitae

## Education

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

## Preprints

• McSpirit, E. The AGM and Expected Sizes of Jellyfish. In preparation.

• Liles, L. and McSpirit, E. To be determined. 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 (2022): 1–10. 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