Curriculum Vitae
Education
- PhD in Mathematics, University of Virginia, Expected 2024.
- BA in Mathematics, University of California, Berkeley, 2020.
Preprints
Liles, L. and McSpirit, E. Infinite Families of Quantum Modular 3-manifold Invariants. Submitted for publication.
McSpirit, E. and Ono, K. Hypergeometry and the AGM over Finite Fields. Contemporary Mathematics, American Mathematical Society. Accepted for publication.
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
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
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
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
Upcoming
AMS Special Session on Elementary Number Theory and Elliptic Curves, Howard University – April 2024
Meeting on Plumbings and Spectra, Caltech – March 2024
JMM AMS Special Session on Mock modular forms, physics, and applications – January 2024
JMM AMS Special Session on Partition Theory and q-Series – January 2024
AMS Special Session on Number Theory and Friends, University of South Alabama – October 2023
Vanderbilt University Number Theory Seminar – October 2023
# Past
Ramanujan–Serre Seminar, University of Virginia – September 2023
Summer 2023 35th Automorphic Forms Workshop – May 2023
AMS Virtual Eastern Special Session on Hypergeometric functions, q-series and generalizations – April 2023
Texas Number Theory and Combinatorics Seminar – January 2023
JMM AMS Special Session on Modular Forms and Combinatorics – January 2022
Additional Conference and Workshop Participation
Merging Categorification, Gauge Theory, and Physics, Simons Collaboration – September 2023
Learning Workshop on BPS States and 3-Manifolds, International Center for Theoretical Physics – February 2023
PCMI on Number Theory Informed by Computation – Summer 2022
100 Years of Mock Theta Functions, Vanderbilt University – May 2022
Joint Mathematics Meetings, Denver – January 2020
Leadership and Mentorship
Mentor for Graduate Teaching Assistants. Observed and advised five first-time graduate instructors throughout the semester – Fall 2023
Mentor for the Directed Reading Program at the University of Virginia – Fall 2023
Founding President of the University of Virginia AMS Graduate Student Chapter. Leader of the executive committee and organizing chapter events – Spring 2023–Present
Mentor for the University of Virginia REU in Number Theory. Advised two projects on Shintani zeta functions and class number formulas – Summer 2023
Mentor for the Directed Reading Program at the University of Virginia. Advised a project on partitions and the representation theory of the symmetric group – Fall 2022
Mentor for the University of Virginia REU in Number Theory. Advised a project on the arithmetic of McKay numbers – Summer 2022
Teaching
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
Graduate Student Instructor for MATH 1B (Calculus II), Fall 2018
Graduate Student Instructor for MATH 53 (Multivariable Calculus), Spring 2018
Honors and Awards
- Dean’s Doctoral Fellowship, University of Virginia