Research Interests

My research lies in the intersection of the fields of combinatorics and number theory. In particular, I study integer partitions and q-series and their applications to questions about analytic and algebraic objects.

Papers

1. On integer partitions corresponding to numerical semigroups. Joint with Simome Sisneros-Thiry and Hayan Nam. Submitted.
2. Hook length biases and general linear partition inequalities. Joint with Cristina Ballantine, Will Craig, Amanda Folsom, and Boya Wen. Research in the Mathematical Sciences - to appear
3. On the positivity of infinite products connected to partitions with even parts below odd parts and copartitions. Joint with Dennis Eichhorn
4. On the parity of the number of (a,b,m)-copartitions of n. Joint with Dennis Eichhorn International Journal of Number Theory - 2023
5. Mock theta functions and related combinatorics. Joint with Cristina Ballantine, Amanda Folsom, Chi-Yun Hsu, Isabella Negrini, and Boya Wen Research Directions in Number Theory - Women in Numbers V - to appear
6. Copartitions. Joint with Dennis Eichhorn Annals of Combinatorics - 2022
7. On a partition identity of Lehmer. Joint with Cristina Ballantine, Amanda Folsom, Chi-Yun Hsu, Isabella Negrini, and Boya Wen. Discrete Mathematics - 2022
8. Combinatorics of two second order mock theta functions. International Journal of Number Theory (Special issue in honor of Bruce Berndt's 80th birthday) - 2021
9. Refined counting of core partitions into d-distinct parts. Joint with Simone Sisneros-Thiry and Armin Straub. Electronic Journal of Combinatorics - 2021
10. A bijective proof of a false theta function identity from Ramanujan's lost notebook. Annals of Combinatorics (Special issue in honor of George Andrew's 80th birthday) - 2019