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Olav K. Richter

Title: Professor

Department: Mathematics

College: College of Science

Curriculum Vitae

Curriculum Vitae Link

Education

  • PhD, University of California at San Diego, 1999
    Major: Mathematics
    Dissertation: Theta functions of quadratic forms

Current Scheduled Teaching

MATH 5420.001Complex AnalysisSpring 2025
MATH 5410.001Complex AnalysisFall 2024
MATH 2000.002Discrete MathematicsFall 2024 Syllabus
MATH 4900.703Special ProblemsFall 2024
MATH 5900.710Special ProblemsFall 2024
Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Previous Scheduled Teaching

MATH 5420.001Complex AnalysisSpring 2024 SPOT
MATH 2000.002Discrete MathematicsSpring 2024 Syllabus SPOT
MATH 5910.001Special ProblemsSpring 2024
MATH 5410.001Complex AnalysisFall 2023 SPOT
MATH 2000.001Discrete MathematicsFall 2023 Syllabus SPOT
MATH 5900.716Special ProblemsFall 2023
MATH 5900.727Special ProblemsFall 2023
MATH 2000.001Discrete MathematicsFall 2022 Syllabus SPOT
MATH 6110.001Topics in AnalysisFall 2022 SPOT
MATH 5420.001Complex AnalysisSpring 2022 SPOT
MATH 5910.705Special ProblemsSpring 2022
MATH 2000.001Discrete MathematicsFall 2021 Syllabus SPOT
MATH 5900.716Special ProblemsFall 2021
MATH 5900.719Special ProblemsFall 2021
MATH 5420.001Functions of a Complex VariableSpring 2021 SPOT
MATH 6510.001Topics in AlgebraFall 2020 SPOT
MATH 5910.702Special ProblemsSpring 2020
MATH 5910.703Special ProblemsSpring 2020
MATH 6110.001Topics in AnalysisSpring 2020
MATH 2000.003Discrete MathematicsFall 2019 Syllabus SPOT
MATH 5900.719Special ProblemsFall 2019
MATH 5420.001COMPLEX VARIABLESpring 2019 SPOT
MATH 4900.707Special ProblemsSpring 2019
MATH 2000.003Discrete MathematicsFall 2018 Syllabus SPOT
MATH 5900.719Special ProblemsFall 2018
MATH 5900.702Special ProblemsSpring 2018
MATH 6110.001Topics in AnalysisSpring 2018 SPOT
MATH 2000.001Discrete MathematicsFall 2017 Syllabus SPOT
MATH 5900.719Special ProblemsFall 2017
MATH 5900.726Special ProblemsFall 2017
MATH 2730.001Multivariable CalculusSpring 2017 Syllabus SPOT
MATH 2730.005Multivariable CalculusSpring 2017 Syllabus SPOT
MATH 5900.721Special ProblemsSpring 2017
MATH 2000.002Discrete MathematicsFall 2016 Syllabus SPOT
MATH 6510.001Topics in AlgebraFall 2016 SPOT
MATH 6950.703Doctoral DissertationSummer 5W2 2016
MATH 6950.721Doctoral DissertationSpring 2016
MATH 2730.007Multivariable CalculusSpring 2016 Syllabus SPOT
MATH 6110.001Topics in AnalysisSpring 2016 SPOT
MATH 6950.725Doctoral DissertationFall 2015
MATH 6950.721Doctoral DissertationSpring 2015
MATH 3400.001Number TheorySpring 2015 Syllabus
MATH 6910.721Special ProblemsSpring 2015
MATH 6110.001Topics in AnalysisSpring 2015
MATH 6950.725Doctoral DissertationFall 2014
MATH 2730.001Multivariable CalculusFall 2014 Syllabus
MATH 2730.005Multivariable CalculusFall 2014 Syllabus
MATH 6900.706Special ProblemsFall 2014
MATH 6910.704Special ProblemsFall 2014
MATH 6950.702Doctoral DissertationSummer 10W 2014
MATH 6950.721Doctoral DissertationSpring 2014
MATH 6000.001Millican ColloquiumSpring 2014
MATH 2730.002Multivariable CalculusSpring 2014 Syllabus
MATH 2730.003Multivariable CalculusSpring 2014 Syllabus
MATH 6900.721Special ProblemsSpring 2014
MATH 6910.721Special ProblemsSpring 2014
MATH 1720.008Calculus IIFall 2013 Syllabus
MATH 6950.725Doctoral DissertationFall 2013
MATH 6000.001Millican ColloquiumFall 2013
MATH 4900.706Special ProblemsFall 2013
MATH 6900.706Special ProblemsFall 2013
MATH 6900.717Special ProblemsFall 2013
MATH 6510.001Topics in AlgebraFall 2013
MATH 1720.005Calculus IISpring 2013 Syllabus
MATH 6950.717Doctoral DissertationSpring 2013
MATH 6000.001Millican ColloquiumSpring 2013
MATH 3400.001Number TheorySpring 2013 Syllabus
MATH 6910.705Special ProblemsSpring 2013
MATH 2700.001Linear Algebra and Vector GeometryFall 2012
MATH 2700.004Linear Algebra and Vector GeometryFall 2012 Syllabus
MATH 6000.001Millican ColloquiumFall 2012
MATH 5900.717Special ProblemsFall 2012
MATH 5910.704Special ProblemsFall 2012
MATH 6900.706Special ProblemsFall 2012
MATH 1720.007Calculus IISpring 2012 Syllabus
MATH 5420.001COMPLEX VARIABLESpring 2012
MATH 5900.720Special ProblemsSpring 2012
MATH 5910.703Special ProblemsSpring 2012
MATH 1720.009Calculus IIFall 2011 Syllabus
MATH 5410.002Functions of a Complex VariableFall 2011
MATH 5900.717Special ProblemsFall 2011
MATH 5900.719Special ProblemsFall 2011
MATH 5910.704Special ProblemsFall 2011
MATH 2700.005Linear Algebra and Vector GeometrySpring 2011 Syllabus
MATH 6110.001Topics in AnalysisSpring 2011
MATH 1720.008Calculus IIFall 2010 Syllabus
MATH 6510.001Topics in AlgebraFall 2010
MATH 2700.003Linear Algebra and Vector GeometrySpring 2010 Syllabus
MATH 2700.004Linear Algebra and Vector GeometrySpring 2010 Syllabus
MATH 1720.009Calculus IISpring 2008
MATH 2770.002Discrete Mathematical StructuresSpring 2008
MATH 1720.003Calculus IIFall 2007
MATH 1720.008Calculus IIFall 2007
MATH 1720.005Calculus IISpring 2007
MATH 1720.009Calculus IISpring 2007
MATH 5900.717Special ProblemsSpring 2007
MATH 1720.007Calculus IIFall 2006
MATH 4900.760Special ProblemsFall 2006
MATH 6110.001Topics in AnalysisFall 2006
MATH 5420.001COMPLEX VARIABLESpring 2006
MATH 2730.004Multivariable CalculusSpring 2006
MATH 4910.701Special ProblemsSpring 2006
MATH 5900.717Special ProblemsSpring 2006
MATH 5910.761Special ProblemsSpring 2006
MATH 2770.002Discrete Mathematical StructuresFall 2005
MATH 5410.001Functions of a Complex VariableFall 2005
MATH 4900.706Special ProblemsFall 2005
MATH 5420.001COMPLEX VARIABLESpring 2005
MATH 1720.008Calculus IIFall 2004
MATH 5410.002Functions of a Complex VariableFall 2004
Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Published Intellectual Contributions

    Journal Article

  • Beckwith, O., Raum, M., Richter, O. (2022). Congruences of Hurwitz class numbers on square classes. Advances in Mathematics. 409, Paper No. 108663 19 pp.
  • Beckwith, O., Raum, M., Richter, O. (2020). Non-holomorphic Ramanujan-type congruences for Hurwitz class numbers. Proceedings of the National Academy of Sciences of the United States of America. PNAS 117 (36) 21953-21961.
  • Raum, M., Richter, O. (2019). The skew-Maass lift I: The case of harmonic Maass-Jacobi forms. Research in the Mathematical Sciences. 6, no. 2, Paper No. 22 59 pp.
  • Richter, O.K., Skogman, H. (2018). Generators of Jacobi forms are Poincaré series. Ramanujan Journal. 45 (3) 639-645.
  • Bringmann, K., Richter, O.K., Westerholt-Raum, M. (2016). Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms. Research in the Mathematical Sciences. 3, Paper No. 30 16 pp.
  • K. Bringmann, M. Raum, and O. Richter. (2015). Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition. Transactions of the American Mathematical Society. 367 (9) 6647-6670.
  • Richter, O.K., Senadheera, J. (2015). Hermitian Jacobi forms and U(p) congruences. Proceedings of the American Mathematical Society. 143 (10) 4199-4210.
  • Richter, O.K., Westerholt-Raum, M. (2015). Sturm bounds for Siegel modular forms. Research in Number Theory. 1, Paper No. 5 8 pp.
  • Raum, M., Richter, O.K. (2015). The structure of Siegel modular forms mod p and U(p) congruences. Mathematical Research Letters. 22 (3) 899‑928.
  • Imamoglu, O., Raum, M., Richter, O.K. (2014). Holomorphic projections and Ramanujan's mock theta functions. Proceedings of the National Academy of Sciences. PNAS 111 (11) 3961-3967.
  • Bringmann, K., Conley, C.H., Richter, O.K. (2012). Jacobi forms over complex quadratic fields via the cubic Casimir operators. Commentarii Mathematici Helvetici. 87 (4) 825-859.
  • Bringmann, K., Raum, M., Richter, O.K. (2012). Kohnen’s limit process for real-analytic Siegel modular forms. Advances in Mathematics. 231 (2) 1100‑1118.
  • Choi, D., Choie, Y., Richter, O.K. (2011). Congruences for Siegel modular forms. Annales de l'institut Fourier. 61 (4) 1455-1466.
  • Bringmann, K., Richter, O.K. (2011). Exact formulas for coefficients of Jacobi forms. International Journal of Number Theory. 7 (3) 825-833.
  • Dewar, M., Richter, O.K. (2010). Ramanujan congruences for Siegel modular forms. International Journal of Number Theory. 6 (7) 1677-1687.
  • Bringmann, K., Richter, O.K. (2010). Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms. Advances in Mathematics. 225 (4) 2298-2315.
  • Choie, Y., Richter, O.K. (2009). A combinatorial characterization of Jacobi forms. Rocky Mountain Journal of Mathematics. 39 (2) 455-462.
  • Richter, O.K. (2009). The action of the heat operator on Jacobi forms. Proceedings of the American Mathematical Society. 137 (3) 869-875.
  • Richter, O.K. (2008). On congruences of Jacobi forms. Proceedings of the American Mathematical Society. 136 (8) 2729-2734.
  • Choie, Y., Richter, O.K. (2007). Classification of the space spanned by theta series and applications. Proceedings of the American Mathematical Society. 135 (8) 2309-2315.
  • Choie, Y., Kim, H., Richter, O.K. (2007). Differential operators on Hilbert modular forms. Journal of Number Theory. 122 (1) 25-36.
  • Bringmann, K., Conley, C.H., Richter, O.K. (2007). Maass-Jacobi forms over complex quadratic fields. Mathematical Research Letters. 14 (1) 137-156.
  • Imamoglu, O., Richter, O.K. (2006). On Rankin-Cohen brackets for Siegel modular forms. Proceedings of the American Mathematical Society. 134 (4) 995-1001.
  • Richter, O.K., Skogman, H. (2004). Jacobi theta functions over number fields. Monatshefte für Mathematik. 141 (3) 219-235.
  • Richter, O.K. (2004). On transformation laws for theta functions. Rocky Mountain Journal of Mathematics. 34 (4) 1473-1481.
  • Richter, O.K. (2002). Theta functions with harmonic coefficients over number fields. Journal of Number Theory. 95 (1) 101-121.
  • Richter, O.K. (2001). A remark on the behavior of theta series of degree n under modular transformations. Other. 2001 (7) 371-379.
  • Richter, O.K. (2000). Theta functions of indefinite quadratic forms over real number fields. Proceedings of the American Mathematical Society. 128 (3) 701-708.
  • Richter, O.K. (2000). Theta functions of quadratic forms over imaginary quadratic fields. Acta Arithmetica. 92 (1) 1-9.

    • Other

  • Richter, O.K., Imamoglu, O. (2010). Differential operators and Siegel-Maass forms. Automorphic forms, automorphic representations and related topics, 109-115, RIMS Kôkyûroku 1715, Kyoto.

Contracts, Grants and Sponsored Research

    Grant - Research

  • Beneish, L. (Principal), Richter, O.K. (Co-Principal), Shepler, A.V. (Co-Principal), "TORA Conference Grant NSF (DMS-2347096)," sponsored by National Science Foundation, Federal, $20000 Funded. (2024 - 2026).
  • Richter, O. (Principal), "Simons Collaboration Grant #835652," sponsored by Simons Foundation, Private, $42000 Funded. (2021 - 2026).
  • Richter, O.K. (Principal), Drescher, C.C. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1855261," sponsored by National Science Foundation, Federal, $16000 Funded. (2019 - 2022).
  • Richter, O.K. (Principal), "Simons Collaboration Grant #412655," sponsored by Simons Foundation, Private, $35000 Funded. (2016 - 2022).
  • Richter, O.K. (Principal), Drellich, E. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1600642," sponsored by National Science Foundation, Federal, $13000 Funded. (2016 - 2019).
  • Richter, O.K. (Co-Principal), Keaton, R. (Principal), Schmidt, R. (Co-Principal), "NSF Grant DMS 1701585," sponsored by National Scince Foundation, Federal, $21000.00 Funded. (2017 - 2017).
  • Richter, O.K. (Co-Principal), Keaton, R. (Principal), Schmidt, R. (Co-Principal), "NSA Grant H98230-16-1-0317," sponsored by National Security Agency, Federal, $13980.00 Funded. (2016 - 2017).
  • Richter, O.K. (Principal), "Simons Collaboration Grant #200765," sponsored by Simons Foundation, Private, $35000 Funded. (2011 - 2016).
  • Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1302770," sponsored by National Science Foundation, Federal, $12000 Funded. (2013 - 2014).
  • Richter, O.K. (Principal), "NSF grant DMS 1153219," sponsored by National Science Foundation, Federal, $50000 Funded. (2012 - 2013).
  • Richter, O.K. (Principal), Conley, C.H. (Co-Principal), Shepler, A.V. (Co-Principal), "NSF grant DMS 1132586," sponsored by National Science Foundation, Federal, $8000 Funded. (2011 - 2012).
  • Richter, O.K. (Principal), Bringmann, K. (Co-Principal), "NSF grant DMS 0847842," sponsored by National Science Foundation, Federal, $45000 Funded. (2009 - 2010).
  • Richter, O.K. (Principal), Rosson, H. (Co-Principal), "NSF grant DMS 0504545," sponsored by National Science Foundation, Federal, $10000 Funded. (2005 - 2006).
  • Richter, O.K. (Principal), Schmidt, R. (Principal), "Lifts and congruences of automorphic forms," sponsored by Simons Foundation, FOND, Funded. (2021 - 2026).
  • Richter, O. (Principal), Drescher, C.C. (Co-Principal), Shepler, A. (Co-Principal), "NSF grant DMS 1855261," sponsored by National Science Foundation, Federal, Funded. (2019 - 2022).
  • Richter, O.K. (Principal), Schmidt, R. (Principal), "Real-Analytic Automorphic Forms and Applications," sponsored by Simons Foundation, FOND, Funded. (2016 - 2022).
  • Shepler, A.V. (Co-Principal), Richter, O.K. (Principal), "Collaborative Research: Texas-Oklahoma Representations and Automorphic Forms Conference Series," sponsored by National Science Foundation, FED, Funded. (2019 - 2022).
  • Richter, O. (Principal), Drellich, E. (Co-Principal), Shepler, A. (Co-Principal), "NSF grant DMS 1600642," sponsored by National Science Foundation, Federal, Funded. (2016 - 2019).
  • Richter, O.K. (Principal), Gao, S. (Principal), "Jacobi Forms and Applications," sponsored by Simons Foundation, FOND, Funded. (2011 - 2016).

    • Grant - Service

  • Shepler, A.V. (Co-Principal), Richter, O.K. (Principal), ""Texas-Oklahoma Representations and Automorphic Forms Conference Series"," sponsored by National Science Foundation, FED, Funded. (2016 - 2019).
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Overall
Summative Rating		 Challenge and
Engagement Index		 Response Rate

out of 5
out of 7		 %
of
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was
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