## Research Interests:

## Homological Algebra:

Differential graded algebras (DGAs), DGA resolutions, and DGA modules

Minimal resolutions

Fiber Products

## Number Theory:

Congruences of Fourier coefficients of Siegel modular forms

Integrality of Siegel-Eisenstein and Klingen-Eisenstein series

Siegel’s phi operator

Fourier-Jacobi coefficients of Siegel modular forms, particularly those for genus 2, non-Maass, cuspidal eigenforms

# Publications:

*Eigenform Product Identities for Degree-Two Siegel Modular Forms*, with Jim Brown, Rico Vicente, and Alexandra Walsh, Journal of Number Theory (to appear), 14 pages.

# Invited Talks

*DG-Algebra Resolutions for Products of Ideals*, Commutative Algebra Seminar; University of Utah, October 2019

*Towards DG-Algebra Resolutions of Fiber Products*, AMS Southeastern Sectional, Special Session on Developments in Commutative Algebra, II; Auburn University, March 2019

# Upcoming Invited Talks

*DG-Algebra Resolutions for Products of Ideals*, AMS Southeastern Sectional, Special Session on Homological Methods in Algebra; University of Florida, November 2019

*Title TBD*, AMS Southeastern Sectional, Special Session on Commutative Algebra; University of Virginia, March 2020

*Title TBD*, AMS Western Sectional, Special Session on DG Methods in Commutative Algebra and Representation Theory; California State University, Fresno, May 2020

# Posters

DG-Algebra Resolutions for Products of Ideals, Thematic Program in Commutative Algebra and its Interactions with Algebraic Geometry; University of Notre Dame, June 2019

Towards DG-Algebra Resolutions for Fiber Products, Morgantown Algebra Days; West Virginia University, April 2019