Prof.
Olav Richter Office: GAB 412 |

- 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:
- Simons Foundation Grant #835652 (2021-2026)
- Simons Foundation Grant #412655 (2016-2022)
- Simons Foundation Grant #200765 (2011-2016)
- Selected publications:

- Imaginary quadratic fields with
ℓ -torsion-free class groups and specified split primes (with O. Beckwith and M. Raum).*Int. Math. Res. Not. IMRN*(2024), no. 16, 11582-11596. - 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.
*Int. Math. Res. Not. IMRN*(2001), no. 7, 371-379.

Conferences:

- Texas-Oklahoma Representations Automorphic forms (TORA) conference series
- AMS Special Session on Real-Analytic Automorphic Forms, September 9-10, 2017, University of North Texas
- 31st Annual Workshop on Automorphic Forms and Related Topics, March 6-9, 2017, East Tennessee State University
- Automorphic forms: advances and applications, May 25-29, 2015, Luminy (France)
- International summer school and meeting:1st EU/US conference on Automorphic Forms and Related Topics, July 30-August 10, 2012 at RWTH Aachen University (Germany)
- Mock theta functions and applications in combinatorics, algebraic geometry, and mathematical physics, May 25-29, 2009, Max Planck Institute for Mathematics, Bonn (Germany)
- AMS Special Session on Automorphic Forms and Related Topics, January 6, 2008, San Diego, CA
- 19th Annual Workshop on Automorphic Forms and Related Topics, March 17-20, 2005, University of North Texas
- AMS Special Session on Automorphic Forms and Representations, October 21-22, 2000, San Francisco State University

Useful links:

- Harold Stark (my advisor)
- My Erdös number is 3 (Erdös-Cohen-Dewar-Richter)
- Mathematics Genealogy
- Math Departments
- Homepage of the AMS
- Math Journals
- JSTOR
- Publishers
- NIST
- N.J.A. Sloane's Encyclopedia of Integer Sequences
- Mathematicians who were born today