## Prof. Dr. Yingkun Li

### Working area(s)

### Contact

li@mathematik.tu-...

work +49 6151 16-22468

fax +49 6151 16-22470

Work
S2|15 425

Schlossgartenstraße 7

64289
Darmstadt

- Automorphic Forms.
- Number Theory.
- CV (opens in new tab)

**Publications**

- Y. Li, Algebraicity of higher Green function at a CM point, Invent. Math. (2023) (DOI, arxiv)
- G. Bogo, Y. Li, Span of restriction of Hilbert theta functions, PAMQ, (2023), No. 1, Vol 19, 61-83. (DOI,arxiv)
- Y. Li, S. Zemel, Shintani lifts of nearly holomorphic modular forms, Canadian journal of math, 1-47, (2022). (DOI,arxiv)
- Y. Li, M. Schwagenscheidt, Mock modular forms with integral Fourier coefficients, Adv. Math. 399 (2022), Paper no. 108264. (DOI,arxiv)
- Y. Li, Average CM-values of Higher Green's Function and Factorization, American journal of math (2022), vol. 144, no. 5, 1241-1298. (DOI,arxiv)
- Y. Li, Singular Units and Isogenies Between CM Elliptic Curves, Compositio Math. 157 (2021), no. 5, 1022-1035 (DOI,arxiv)
- Y. Li, T. H. Yang, On a Conjecture of Yui and Zagier, Algebra Number Theory 14 (2020), no. 8, 2197-2238(DOI,arxiv)
- Y. Li, H. Narita, A. Pitale, An explicit construction of non-tempered cusp forms on O(1,8n+1), Annales math Québec, 44 (2020), no. 2, 349-384. (DOI, arxiv)
- Y. Li, M. Neururer, A magnetic modular form, Int. J. Number Theory 15 (2019), no. 5, 907-924. (DOI, arxiv)
- P. Charollois, Y. Li, Harmonic Maass forms associated to real quadratic fields, JEMS 22 (2020), no. 4, 1115-1148. (DOI,arxiv)
- J. Bruinier, J. Funke, Ö. Imamoglu, Y. Li, Modularity of generating series of winding numbers, Res. Math. Sci. 5 (2018), no. 2. (DOI, arxiv)
- Y. Li, Petersson norm of cusp form associated to real quadratic field, Forum Math. 30 (2018), no. 5, 1097-1109. (DOI, arxiv)
- Y. Li, S. Zemel, Shimura Lifts of Weakly Holomorphic Modular Forms, Math. Z. 290 (2018), no. 1-2, 37-61 (DOI, arxiv)
- Y. Li, Restriction of Coherent Eisenstein Series, Math. Ann. 368 (2017), no. 1-2, 317-338 (DOI, pdf (opens in new tab) )
- J. Bruinier, Y. Li, Heegner Divisors in Generalized Jacobians and Traces of Singular Moduli, Algebra Number Theory 10 (2016), no. 6, 1277–1300. (DOI, arxiv)
- Y. Li, Real-dihedral harmonic Maass forms and CM-values of Hilbert modular functions, Compos. Math. 152 (2016), no. 6, 1159–1197. (DOI, pdf (opens in new tab) )
- K. Bringmann, Y. Li, R. Rhoades, Asymptotics for the number of row Fishburn matrices, European J. Combin. 41 (2014), 183-196. (DOI)
- W. Duke, Y. Li, Harmonic Maass forms of weight one, Duke Math. J., 164 (2015), no. 1, 39-113. (DOI, pdf (opens in new tab) )
- J. L. Brown, Y. Li, Level lowering for half-integral weight modular forms, Proc. Amer. Math. Soc. 138 (2010), 1171-1173. (DOI)
- J. L. Brown, Y. Li, Distribution of powers of the partition function modulo l j, J. Number Theory 129 (2009), pp. 2557-2568. (DOI)

**Preprints**

- G. Bogo, Y. Li, M. Schwagenscheidt, Laurent expansions of meromorphic modular forms, (2023), submitted (arxiv)
- Y. Li, C. Röhrig, Mock Maass forms revisited, (2023), submitted (arxiv)
- S. Ehlen, Y. Li, M. Schwagenscheidt, Harmonic Maass forms associated with CM newforms, (2022), submitted. (arxiv)
- J. Bruinier, Y. Li, T. Yang, Deformed theta integral and a conjecture of Gross-Zagier, submitted. (arxiv)
- Y. Li, H. Ngo, R. Rhoades, Renormalization and Quantum Modular Forms, Part I: Maass Wave Forms, preprint. (arxiv)
- Y. Li, H. Ngo, R. Rhoades, Renormalization and Quantum Modular Forms, Part II: Mock Theta Functions, preprint. (arxiv)

**Conference Proceedings**

- Y. Li, Harmonic Eisenstein series of weight one, conference proceedings of the workshop on L-functions and automorphic forms at Heidelberg Feb. 2016. (arxiv)
- Y. Li, Oberwolfach Report on real-dihedral harmonic Maass forms (2014). (pdf (opens in new tab) )

**Notes**

- Notes on Hilbert modular forms and arithmetic applications (GoCAS mini-course, 2016). (pdf (opens in new tab) )
- Notes on singular moduli during the second EU/US summer school on automorphic forms and related topics (2014). (pdf (opens in new tab) )

Current:

- WS23/24: Algebraic geometry II (with Prof.Torsten Wedhorn )

Previous:

- SS23: Topologie
- SS23: Representation theory
- WS22/23 (JGU Mainz): Zahlentheorie
- WS22/23 (JGU Mainz): Seminar on p-adic numbers.
- SS 22: sabbatical
- WS21/22: Algebraic geometry II (with Prof.Timo Richarz)
- SS 21: Hilbert modular forms (pdf (opens in new tab) )
- WS 20/21: Elliptic curve and complex multiplication (pdf (opens in new tab) )
- SS 20: Linear Algebra II
- WS19/20: Linear Algebra I
- WS18/19: Seminar on Catalan's Conjecture (pdf (opens in new tab) ).
- SS18: Algebraic Number Theory.
- SS17: Seminar Elliptische Kurven (with Prof. Dr. Bruinier , M.Sc. Schwagenscheidt)
- SS15: Analysis II (assistant for Dr. Gregoriades)
- WS14/15: Analysis I (assitant for Prof. Kohlenbach )

Research

- CRC 326 – GAUS
- International seminar on automorphic forms, online and ongoing (co-organizing with Claire Burrin, Christina Röhrig, Markus Schwagenscheidt, Riccardo Zuffetti)
- Modular Forms and Arithmetic Geometry , Sept 18-22, 2023 at TU Darmstadt (co-organized with Jan Bruinier, Ben Kane and Steve Kudla).
- Workshop on modular forms on higher rank groups, Sept 17-20, 2019 at TU Darmstadt (co-organized with Jan Bruinier and Michalis Neururer)

Outreach

- I am co-organizing the "Darmstadt Mathezirkel ". It's an after school program for high school students. We meet on Mondays from 16 to 17:30 in S2|15 room 244.