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Prof. Dr. Claudia Alfes
Prof. Dr. Claudia Alfes
Bielefeld University
Faculty of MathematicsPostfach 10013133501 BielefeldGermanyEmail: alfes@math.uni-bielefeld.deRoom: V5 204Phone: +49 521 106 2538About me
About me
My research centers around the theory of modular forms and their generalizations as well as its various applications in number theory, geometry, combinatorics, physics, and representation theory.
Since March 2021 I am a professor at Bielefeld University.
Team
Team
Dr. Gabriele Bogo
M.Sc. Anna Guntermann
M.Sc. Rebekka Strathausen
More information:
my profile on mathscinet (login required)
Publications and Preprints
Publications and Preprints
22) C. Alfes, B. Depouilly, P. Kiefer, M. Schwagenscheidt, Cycle integrals of meromorphic Hilbert modular forms, arXiv:2406.03465, Preprint (2024). pdf
21) C. Alfes, P. Kiefer, J. Mazáč, Measures, modular forms, and summation formulas of Poisson type, Comm. Math. Phys., accepted for publication (2025). pdf
20) C. Alfes, J. Maglione, C. Voll, Ehrhart polynomials, Hecke series, and affine buildings, Sém. Lothar. Combin. 91B (2024), Art. 84, 12 pp. pdf
19) C. Alfes, M. Mertens, On Kleinian mock modular forms, Res. Math. Sci. 11, 6 (2024). pdf
18) C. Alfes-Neumann, J. Funke, M. Mertens, E. Rosu, On Jacobi-Weierstrass mock modular forms, Advances in Mathematics, accepted for publication (2025). pdf
17) C. Alfes-Neumann, J. Bruinier, M. Schwagenscheidt, Harmonic weak Maass forms and periods II, Math. Ann., accepted for publication (2024). pdf
16) C. Alfes-Neumann, I. Burban, M. Raum, A classification of polyharmonic Maaß forms via quiver representations, J. Algebra 661 (2025), 713–756. pdf
15) C. Alfes-Neumann, M. Raum, A classification of harmonic weak Maaß forms of half-integral weight, Res. Number Theory, 9:48 (2023). pdf
14) C. Alfes-Neumann, K. Bringmann, J. Males, M. Schwagenscheidt, Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms, J. Math. Anal. Appl. 497 (2021), no. 2, Paper No. 124898, 15 pp. pdf
13) C. Alfes-Neumann, M. Schwagenscheidt, Traces of reciprocal singular moduli, Bull. Lond. Math.Soc. 52 (2020), no. 4, 641-656. pdf
12) C. Alfes-Neumann, K. Bringmann, M. Schwagenscheidt, On the rationality of cycle integrals of meromorphic modular forms, Math. Ann. 376 (2020), no. 1-2, 243-266. pdf
11) C. Alfes-Neumann, M. Schwagenscheidt, Shintani theta lifts of harmonic Maass forms, Trans. Amer. Math. Soc. 374 (2021), no. 4, 2297–2339. pdf
10) C. Alfes-Neumann, M. Schwagenscheidt, Identities of Cycle Integrals of Weak Maass Forms, Ramanujan J. 52 (2020), no. 3, 683-688. pdf
9) C. Alfes-Neumann, M. Schwagenscheidt, A theta lift related to the Shintani lift, Advances in Mathematics, Volume 328 (2018), 858-889. pdf
8) C. Alfes, M. Griffin, K. Ono, and L. Rolen, Weierstrass mock modular forms and elliptic curves, Research in Number Theory, 1:24 (2015). pdf
7) C. Alfes, Formulas for the coefficients of half-integral weight harmonic Maass forms, Mathematische Zeitschrift, Volume 227, Issue 3 (2014), 769-795. pdf
6) C. Alfes, and T. Creutzig, The mock modular data of a family of superalgebras, Proc. Amer. Math. Soc., 142 (2014), 2265-2280. pdf
5) C. Alfes, and S. Ehlen, Twisted Traces of CM values of weak Maass forms, J. Number Theory,Volume 133, Issue 6, 1827-1845. pdf
4) C. Alfes, Parity of the coefficients of Klein’s $j$-function, Proc. Amer. Math. Soc., 141 (2013), 123-130. pdf
3) C. Alfes, K. Bringmann, and J. Lovejoy, Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols, Math. Proc. Cambridge Phil. Soc., 151 (2011), 385-406. pdf
2) C. Alfes, M. Jameson, and R. Lemke Oliver, Proof of the Andrews-Alder Conjecture, Proc. Amer. Math. Soc. 139 no. 1 (2011), 63-7. pdf
1) C. Alfes, Congruences for Ramanujan’s $\omega(q)$, Ramanujan J. 22 (2010), no. 2, 163-169. pdf
Dissertation
Dissertation
C. Alfes, CM values and Fourier coefficients of harmonic Maass forms, Dissertation, TU Darmstadt, tuprints. pdf
Miscellaneous
Miscellaneous
C. Alfes-Neumann, Modulformen - Fundamentale Werkzeuge der Mathematik, Springer, Essentials.
C. Alfes-Neumann, Algebraic formula for the partition function, entry in Encyclopedia of Srinivasa Ramanujan and His Mathematics, editors: Krishnaswami Alladi, George E. Andrews, Bruce C. Berndt, and Ken Ono, accepted.
C. Alfes-Neumann, An introduction to the theory of harmonic Maass forms, In: Bruinier J., Kohnen W. (Eds) L-Functions and Automorphic Forms, Contributions in Mathematical and Computational Sciences, vol 10. Springer, Cham.
Editorial Boards
Editorial Boards
Since January I am a member of the editorial board of the Ramanujan Journal.
News
News
Together with Ana Botero I am organizing a "Summer school on formulas of Siegel and Weil", September 29-October 2, 2025 in Bielefeld.
Together with Ana Botero, Annika Burmester, Lennart Gehrmann and Paul Kiefer I am organizing the conference "Modular in Bielefeld", June 23-26, 2025.
Session "Geometry and analysis of locally symmetric spaces" within the opening conference of TRR 358 organized with Valentin Blomer and Tobias Weich, September 9-13, 2024 in Paderborn.
Workshop "ENTR23" in Bielefeld, August 23-25 2023 organized by Patrick Bieker, Annika Burmester, Paul Kiefer, Johannes Krah, Ingmar Metzler, Karthika Rajeev, and Rebekka Strathausen.
Conference "Women in automorphic forms" in Konstanz, October 4-6 2023.
Conference "Dynamics and asymptotics in algebra and number theory" in Bielefeld, September 11-15 2023.
Summer school for high school students in Bielefeld, June 2023.
CRC/TRR 358 "Integral structures in geometry and representation theory" starting in January 2023.
Conference "Modular forms in number theory and beyond" in Bielefeld, August 22-26 2022.
Workshop "Modular forms and representation theory" in Manigod, July 15-22, 2022.
Summer school for high school students in Bielefeld, June 2022.
Fellowship of the Klaus Tschira Boost Fund: In March 2020 I was awarded a fellowship of the Klaus Tschira Boost Fund. Here you can find for more information and my profile.
Scholarship of the Daimler and Benz Foundation: In January 2020 I obtained a scholarship of the Daimler and Benz Foundation for the project "CM integrals of Igusa invariants". Click here for more information and the profiles of the scholars.
Member of the Young Scholars of the North Rhine-Westphalian Academy of Sciences, Humanities and the Arts: In 2020 I was appointed as a member of the "Junges Kolleg" of the North Rhine-Westphalian Academy of Sciences, Humanities and the Arts. For more information and my profile click here.
Press
Press
Magic equations: Aktuell Uni Bielefeld
Modular forms: Quanta Magazine
Doing mathematics means being creative: Aktuell Uni Bielefeld
Teaching
Teaching
Winter term 2024/25:
Winter term 2024/25:
Lecture "Algebra", Lecture "Modular forms"
Summer term 2024:
Summer term 2024:
Lecture "Linear Algebra II"
Winter term 2023/24:
Winter term 2023/24:
Lecture "Linear Algebra I"
Summer term 2023:
Summer term 2023:
Seminar "Partition function"
Winter term 2022/23:
Winter term 2022/23:
Lecture "Modular forms"
Summer term 2022:
Summer term 2022:
Lecture "Selected chapters of mathematics", lecture "Complex analysis II"
Summer term 2021:
Summer term 2021:
Lecture "Geometry (Gym/Ge)", Research seminar "Geometric analysis and number theory"
Winter term 2020/21
Winter term 2020/21
Lecture "Linear Algebra II", Research seminar "Geometric analysis and number theory"
Summer term 2020
Summer term 2020
Lecture "Linear Algebra I", Research seminar "Geometric analysis and number theory"
Winter term 2019/20
Winter term 2019/20
Lecture "Introduction to cryptography", Seminar "Quadratic forms", Research seminar "Geometric analysis and number theory"
Summer term 2019:
Summer term 2019:
Seminar "Borcherds' products", Research seminar "Geometric analysis and number theory"
Winter term 2018/19:
Winter term 2018/19:
Lecture "Automorphic forms"
Summer term 2018:
Summer term 2018:
Lecture "Introduction to cryptography"
Winter term 2017/18:
Winter term 2017/18:
Lecture "Complex Analysis", Seminar "Elliptic curves"
Conferences and Workshops
Conferences and Workshops
MFO Workshop "Multiple Zeta Values and Modular Forms", MFO, February 15-20,2026 (organized with Kathrin Bringmann, Henrik Bachmann, Jan-Willem van Ittersum)
Summer school on formulas of Siegel and Weil, Bielefeld, September 29-October 2, 2025 (organized with Ana Botero)
MFO Workshop "Cohomology Theories for Automorphic Forms and Enumerative Algebra", MFO, August 24-29, 2025 (organized with YoungJu Choie, Anke Pohl, Christopher Voll)
Modular in Bielefeld, Bielefeld, June 23-26, 2025 (organized with Ana Botero, Annika Burmester, Lennart Gehrmann and Paul Kiefer)
Integral Structures in Geometry and Representation Theory, Paderborn, September 9-13, 2024 (organized within CRC 358)
Women in automorphic forms, Konstanz, October 4-6, 2023 (organized with Anke Pohl and Anna von Pippich)
Asymptotics and dynamics in algebra and number theory, Bielefeld (ZiF), September 10-15, 2023 (organized with Valentin Blomer, Anke Pohl, Christopher Voll)
Modular forms in number theory and beyond, Bielefeld, August 22-26, 2022 (organized with Michael Mertens and Markus Schwagenscheidt).
Modular forms and representation theory, Manigod, July 15-22 (organized with Sven Möller).
Women in automorphic forms: Together with Anke Pohl and Anna von Pippich I organized the conference Women in automorphic forms in September 2021 in Bielefeld.
Workshop on "Hecke operators, Ehrhart theory, and automorphic forms" in Bielefeld, September 30th and October 1st (organized together with Christopher Voll).
Women in automorphic forms: Together with Anna von Pippich I organized the conference Women in automorphic forms in September 2018 in Darmstadt.
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