Olav Richter's Homepage

Prof. Olav Richter
Department of Mathematics
University of North Texas
1155 Union Circle #311430
Denton, TX 76203-5017
U.S.A.

Office: GAB 412
E-mail: richter at unt dot edu

Spring 2023: No teaching (sabbatical)

Interests: Number Theory (discontinuous groups and automorphic forms). In particular: Jacobi forms, Siegel modular forms, Maass forms, mock theta functions and related objects
Research funding:

Congruences of Hurwitz class numbers on square classes (with O. Beckwith and M. Raum). Adv. Math. 409 (2022), Paper No. 108663, 19 pp.
Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers (with O. Beckwith and M. Raum). Proc. Natl. Acad. Sci. USA (PNAS) 117 (2020), no. 36, 21953-21961.
The skew-Maass lift I: The case of harmonic Maass-Jacobi forms (with M. Raum). Res. Math. Sci. 6 (2019), no. 2, Paper No. 22,59 pp.
Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms (with K. Bringmann and M. Westerholt-Raum). Res. Math. Sci. 3 (2016), Paper No. 30, 16 pp.
Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition (with K. Bringmann and M. Raum). Trans. Amer. Math. Soc. 367 (2015), no. 9, 6647-6670.
Holomorphic projections and Ramanujan's mock theta functions (with Ö. Imamoglu and M. Raum). Proc. Natl. Acad. Sci. USA (PNAS) 111 (2014), no. 11, 3961-3967.

Kohnen’s limit process for real-analytic Siegel modular forms (with K. Bringmann and M. Raum). Adv. Math. 231 (2012), no. 2, 1100-1118.
Jacobi forms over complex quadratic fields via the cubic Casimir operators (with K. Bringmann and C. Conley). Comment. Math. Helv. 87 (2012), no. 4, 825-859.
Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms (with K. Bringmann). Adv. Math. 225 (2010), no. 4, 2298-2315.
A remark on the behavior of theta series of degree n under modular transformations. Internat. Math. Res. Notices 2001, no. 7, 371-379.

Conferences:

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