Contact Information
273 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Office Hours
Research Areas
Research Description
I work in number theory, especially with modular forms. This often involves studying congruence properties for integral and half-integral weight modular forms. I'm also interested in related topics such as Galois representations and elliptic curves.
Awards and Honors
Bateman Fellowship (2022)
Department Fellowship (2023)
Courses Taught
Math 241-Multivariable Calculus (Fall 2019, Spring 2020, Spring 2021, Fall 2021)
Math 231-Calculus II (Fall 2018)
Math 220-Calculus I (Spring 2019)
Math 416-Abstract Linear Algebra (Fall 2020, grader)
My papers are on the arxiv.
A Higher Weight Analogue of Ogg's Theorem on Weierstrass Points
https://arxiv.org/pdf/2006.09520.pdf
Congruences for Level 1 cusp forms of half-integral weight
https://arxiv.org/pdf/2012.10587.pdf
Weight 2 CM newforms as p-adic limits
https://arxiv.org/pdf/2104.02335.pdf
Congruence relations for r-colored partitions
Recent Publications
A higher weight analogue of Ogg’s theorem on Weierstrass points. Int. J. Number Theory 17 (2021), no. 5, 1155-1162.
Congruences for level 1 cusp forms of half-integral weight. Proc. Amer. Math. Soc. 149 (2021), no. 11, 4623-4638.
Weight 2 CM newforms as p-adic limits. Ramanujan J. 58 (2022), no. 4, 1321–1332.