Bingrong Huang   黄炳荣

Preprints

• Bingrong Huang. Joint distribution of Hecke eigenforms. ArXiv preprint, 23 pp, 2024. arxiv
• Shenghao Hua, Bingrong Huang and Liangxun Li. Joint value distribution of Hecke-Maass forms. ArXiv preprint, 22 pp, 2024. arxiv
• Bingrong Huang and Liangxun Li. Mixed moments of GL(2) and symmetric square L-functions. ArXiv preprint, 25 pp, 2024. arxiv

Publications

1. Bingrong Huang. Effective decorrelation of Hecke eigenforms.
   Trans. Amer. Math. Soc. 377 (2024), no. 9, 6669–6693. arxiv journal
2. Bingrong Huang. Uniform bounds for GL(3)×GL(2) L-functions.
   J. Inst. Math. Jussieu 23 (2024), no. 4, 1607–1650. arxiv journal
3. Bingrong Huang. On the Rankin-Selberg problem, II.
   Q. J. Math. 75 (2024), no. 1, 1–10. arxiv journal
4. Bingrong Huang. The cubic moment of Hecke-Maass cusp forms and moments of L-functions.
   Math. Ann. 389 (2024), no. 1, 899–945. arxiv journal
5. Shenghao Hua and Bingrong Huang. Extreme central L-values of almost prime quadratic twists of elliptic curves.
   Sci. China Math. 66 (2023), no. 12, 2755–2766. arxiv journal
6. Shenghao Hua and Bingrong Huang. Lower bounds for moments of quadratic twisted self-dual GL(3) central L-values.
   Acta Math. Sin. (Engl. Ser.) 39 (2023), no. 11, 2139–2148. arxiv journal
7. Bingrong Huang and Zhao Xu. Hybrid subconvexity bounds for twists of GL(3)×GL(2) L-functions.
   Algebra Number Theory 17 (2023), no. 10, 1715–1752. arxiv journal
8. Bingrong Huang, Qingfeng Sun, and Huimin Zhang. Analytic twists of GL_2×GL_2 automorphic forms.
   Math. Nachr. 296 (2023), no. 6, 2366–2394. arxiv journal
9. Daniel El-Baz, Bingrong Huang, and Min Lee. Effective joint equidistribution of primitive rational points on expanding horospheres.
   J. Eur. Math. Soc. (JEMS) 25 (2023), no. 6, 2295–2317. arxiv journal MathSciNet
10. Shenghao Hua and Bingrong Huang. Determination of GL(3) cusp forms by central values of quadratic twisted L-functions.
    Int. Math. Res. Not. IMRN 2023, no. 9, 7976–8007. (See the arXiv version for a correction.) arxiv journal
11. Bingrong Huang and Stephen Lester. Quantum variance for dihedral Maass forms.
    Trans. Amer. Math. Soc. 376 (2023), 643–695. arxiv journal
12. Bingrong Huang, Yongxiao Lin, and Zhiwei Wang. Averages of coefficients of a class of degree 3 L-functions.
    Ramanujan J. 57 (2022), no. 1, 79–91. arxiv journal
13. Bingrong Huang. On the Rankin-Selberg problem.
    Math. Ann. 381 (2021), no. 3-4, 1217–1251. arxiv journal MathSciNet
14. Olga Balkanova, Bingrong Huang, and Anders Södergren. Non-vanishing of Maass form L-functions at the critical point.
    Proc. Amer. Math. Soc. 149 (2021), 509–523. arxiv journal
15. Bingrong Huang. Quantum variance for Eisenstein Series.
    Int. Math. Res. Not. IMRN 2021 (2021), 1224–1248. arxiv journal
16. Bingrong Huang. Hybrid subconvexity bounds for twisted L-functions on GL(3),
    Sci. China Math. 64 (2021), 443–478. arxiv journal
17. Bingrong Huang, Jianya Liu, and Zeév Rudnick. Gaussian primes in almost all narrow sectors.
    Acta Arith. 193 (2020), no. 2, 183–192. arxiv journal
18. Dorian Goldfeld and Bingrong Huang. Super-positivity of a family of L-functions,
    Banach Center Publications 118 (2019), 45–93. arxiv journal
19. Bingrong Huang. Sup-norm and nodal domains of dihedral Maass forms,
    Comm. Math. Phys. 371 (2019), no. 3, 1261–1282. arxiv journal
20. Bingrong Huang and Zeév Rudnick. Prime lattice points in ovals,
    Monatsh. Math. 189 (2019), no. 2, 295–319. arxiv journal
21. Bingrong Huang, Shenhui Liu, and Zhao Xu. Mollification and non-vanishing of automorphic L-functions on GL(3),
    Israel J. Math. 227 (2018), no. 2, 597–622. arxiv journal
22. Dorian Goldfeld and Bingrong Huang. Super-positivity of a family of L-functions in the level aspect,
    Res. Math. Sci. 5 (2018), no. 2, 5:16. arxiv journal
23. Bingrong Huang and Zhao Xu. Sup-norm bounds for Eisenstein series,
    Forum Math. 29 (2017), no. 6, 1355–1369. arxiv journal
24. Xiaoguang He and Bingrong Huang. Exponential sums involving the Mobius function,
    Acta Arith. 175 (2016), no. 3, 201–209. pdf journal
25. Bingrong Huang. Exponential sums over primes in short intervals and an application to the Waring--Goldbach problem,
    Mathematika 62 (2016), no. 2, 508–523. arxiv journal
26. Bingrong Huang. Strong orthogonality between the Mobius function and nonlinear exponential functions in short intervals,
    Int. Math. Res. Not. IMRN 2015, no. 23, 12713–12736. arxiv journal
27. Bingrong Huang and Zhiwei Wang. Exponential sums over primes in short intervals,
    J. Number Theory 148 (2015), 204–219. pdf journal

Appendixes

1. Bingrong Huang. Kloosterman sums on GL(4).
   An appendix to "An orthogonality relation for GL(4,R)" by Goldfeld, Stade, and Woodbury,
   Forum Math. Sigma, 9, 75–82, 2021. arxiv journal
2. Daniel El-Baz and Bingrong Huang. Equidistribution of the lengths of the primitive vectors in integer lattices.
   An appendix to "Uniform distribution of saddle connection lengths" by Chaika and Robertson,
   J. Mod. Dyn. 15 (2019), 329–343. arxiv journal

Talks and Teaching

Teaching

• 2023 Fall: Seminar on Modular Forms, Taishan College and School of Mathematics.
• 2022 Fall: Seminar on Modular Forms, Taishan College and School of Mathematics.
• 2022 Spring: Fundamentals in Number Theory (in Chinese and English), Taishan College.
• 2021 Spring: Fundamentals in Number Theory (in Chinese and English), Taishan College.
• 2020 Fall: Basic Algebra and Geometry (in Chinese), School of Mathematics.
• Fall 2014: Instructor for Integers and Polynomials (in Chinese), School of Mathematics, SDU.
• Fall 2013: Instructor for Advanced Mathematics (in Chinese), School of Chemistry and Chemical Engineering, SDU.

• 2024 Spring: L-functions, School of Mathematics. (with Prof. Yongxiao Lin)
• 2023 Spring: L-functions, School of Mathematics.
• 2022 Fall: Automorphic forms, School of Mathematics. (with Prof. Jianya Liu)
• 2022 Spring: L-functions, School of Mathematics.

Talks

• 2022.08, North China University of Water Resources and Electric Power, Topics in Analytic Theory of Automorphic L-functions.
• 2021.07, XJTU, Analytic theory of automorphic forms on GL(2). videos

• 2023.12, Xiamen University, Moments of quadratic twisted L-functions.
• 2023.09, QMUL, Value distribution of GL(2) Maass forms.
• 2023.08, WHU, Averages of coecients of L-functions.
• 2023.05, NWU, Effective decorrelation of Hecke eigenforms.
• 2023.04, USTC, Arithmetic Quantum Chaos and L-functions.
• 2023.02, Wuhan, Effective decorrelation of Hecke eigenforms.
• 2022.08, SDU, Effective joint equidistribution of primitive rational points on expanding horospheres.
• 2022.08, MNNU, L-函数的亚凸界.
• 2022.07, UNBC, Quantum variance for automorphic forms. videos
• 2022.06, ICTS, Quantum variance for automorphic forms. videos
• 2022.04, Capital Normal University, The subconvexity problem of L-functions.
• 2021.12, PANT - Kyoto 2021, On the Rankin-Selberg problem.
• 2021.07, HKU, Quantum variance for automorphic forms.
• 2021.06, Jintan, On the Rankin--Selberg problem.
• 2021.05, ZJU, Quantum variance for automorphic forms.
• 2020.04, XJTU, Sup-norm and nodal domains of dihedral Maass forms.
• 2018.07, QMUL, Sup-norm and nodal domains of dihedral Maass forms.
• 2018.06, Shandong U, Super-positivity of a family of L-functions.
• 2018.05, Technion, Prime lattice points in ovals.
• 2018.04, Hong Kong U, Prime lattice points in ovals.
• 2017.08, SDU at Weihai, Kuznetsov trace formulas and their applications.
• 2017.06, AMSS, Super-positivity of a family of L-functions.
• 2014.08, SDU at Weihai, Exponential sums over primes in short intervals.

• 2023.11, Sichuan University, Value distribution of Maass forms.
• 2023.10, Shenzhen University, Averages of coefficients of L-functions.
• 2023.06, Henan University, L-函数的亚凸性界.
2023.03, Shandong Normal University, Arithmetic Quantum Chaos and L-functions.
• 2023.02, Wuhan University, Arithmetic Quantum Chaos and L-functions.
• 2022.12, International Seminar on Automorphic Forms, Arithmetic Quantum Chaos and L-functions.
• 2022.11, Webinar on Analysis and PDE, Arithmetic Quantum Chaos and L-functions.
• 2022.11, Washington State University, Arithmetic Quantum Chaos and L-functions.
• 2022.10, Hefei University of Technology, Arithmetic Quantum Chaos.
• 2022.09, Modern Dynamics Seminar @ Tsinghua University, Effective joint equidistribution of primitive rational points on expanding horospheres.
• 2022.06, Stanford Student Analytic Number Theory Seminar, Effective decorrelation of Hecke eigenforms.
• 2022.06, Wuhan University, Effective decorrelation of Hecke eigenforms.
• 2022.05, Nankai University, Effective joint equidistribution of primitive rational points.
• 2022.05, Henan University, On the Rankin--Selberg problem.
• 2022.04, Renyi Institute, Uniform bounds for GL(3)×GL(2) L-functions. videos
• 2022.04, AMSS, On the Rankin--Selberg problem.
• 2022.03, UIUC, On the Rankin--Selberg problem.
• 2021.12, 南信大, L-函数的亚凸性界.
• 2021.11, YMSC @ Tsinghua, On the Rankin-Selberg problem.
• 2021.05, Westlake University, Sup-norms of automorphic forms.
• 2021.04, SDU, On the Rankin--Selberg problem.
• 2020.11, SDUW, Effective equidistribution of primitive rational points on expanding horospheres.
• 2020,11, SDNU, Quantum variance for automorphic forms.
• 2020.05, XJTU, On the Rankin-Selberg problem.
• 2019.10, AMSS, Zeros of L-functions and random matrix theory.
• 2019.04, Technion, Equidistribution of primitive rational points on expanding horospheres.
• 2019.03, Tel-Aviv U., Prime angles for quadratic elds.
• 2019.01, Shandong U., Quantum variance for Eisenstein series.
• 2018.05, Tel-Aviv U., Prime lattice points in ovals.
• 2018.04, IECL, Prime lattice points in ovals.
• 2018.01, Tel-Aviv U., Super-positivity of a family of L-functions.
• 2017.11, Tel-Aviv U., Zero density theorems, I & II.
• 2017.09, Huaqiao U., Some analytic aspects of L-functions.
• 2017.06, Xi'an Jiaotong U., Super-positivity of a family of L-functions.
• 2017.05, Shandong U., The subconvexity problem of L-functions and their applications.
• 2015.11, Columbia, Hybrid sup-norm bounds for Eisenstein series.

Academic Activities