Contact Information
340 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Modular forms and number theory.
External Links
Recent Publications
Ahlgren, S., Kim, B., & Lovejoy, J. (2019). Dissections of Strange q-Series. Annals of Combinatorics, 23(3-4), 427-442. https://doi.org/10.1007/s00026-019-00447-6
Ahlgren, S., & Dunn, A. (2019). Maass forms and the mock theta function f(q). Mathematische Annalen, 374(3-4), 1681-1718. https://doi.org/10.1007/s00208-019-01829-0
Ahlgren, S., Andersen, N., & Samart, D. (2018). A polyharmonic Maass form of depth 3/2 for SL2(Z). Journal of Mathematical Analysis and Applications, 468(2), 1018-1042. https://doi.org/10.1016/j.jmaa.2018.08.055
Ahlgren, S., & Kim, B. (2018). Congruences for a mock modular form on SL2(Z) and the smallest parts function. Journal of Number Theory, 189, 81-89. https://doi.org/10.1016/j.jnt.2017.11.013
Ahlgren, S., & Andersen, N. (2018). Kloosterman sums and Maass cusp forms of half integral weight for the modular group. International Mathematics Research Notices, (2), 492-570. https://doi.org/10.1093/imrn/rnw234