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Shaoyun Yi |
University of South Carolina |
Department of Mathematics |
Columbia, SC 29208 |
E-mail: shaoyun@mailbox.sc.edu |
Office: COL 1005D |
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I completed my Ph.D in May 2019 at the University of Oklahoma under the supervision of
Ralf Schmidt. Currently, I am an Instructor in the
Department of Mathematics at the
University of South Carolina. Starting in Fall 2022, I will be a tenure-track Assistant Professor at Xiamen University. Here is my
CV.
Research Interests
Number Theory, Representation Theory. Specifically, I am interested in classical modular forms, local and global representation theory, L-functions, the Langlands program and analytic number theory.
Publications and Preprints
- Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem (with Biao Wang, Zhining Wei and Pan Yan).
Submitted, 2022.  [preprint available upon request].
- Classical and adelic Eisenstein series (with Manami Roy and Ralf Schmidt).
Submitted, 2021.  [arXiv].
- Generalizations of Alladi's formula for arithmetical semigroups (with Lian Duan and Ning Ma).
The Ramanujan Journal, 20 Jan 2022 (available online).  [arXiv, DOI].
- Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions (with Chiranjit Ray and Manami Roy).
The Ramanujan Journal, 17 Aug 2021 (available online).  [SharedIt link, arXiv, DOI].
- Analogues of Alladi's formula over global function fields (with Lian Duan and Biao Wang).
Finite Fields and Their Applications 74 (2021), 101874, 26 pp.  [arXiv, DOI].
- On counting cuspidal automorphic representations for GSp(4) (with Manami Roy and Ralf Schmidt).
Forum Mathematicum 33 (2021), no. 3, 821-843.  [arXiv, DOI].
- Klingen p^2 vectors for GSp(4).
The Ramanujan Journal 54 (2021), no. 3, 511–554.  [SharedIt link, DOI].
- Klingen vectors of level 2 for GSp(4).
Ph.D. Thesis, University of Oklahoma, 2019.  [PDF].
Teaching
At University of South Carolina:
- Spring 2022      Calculus II (Math 142, two sections)     &    Algebraic Structures I (Math 546/701I)
- Fall 2021          Calculus for Business Administration and Social Sciences (Math 122, two sections, hybrid)     &    Calculus I (Math 141, hybrid)     &    Vector Calculus (Math 241, hybrid)
- Summer 2021   Algebraic Structures I (Math 546/701I, online)
- Spring 2021      Calculus for Business Administration and Social Sciences (Math 122, two sections, online)     &    Calculus I (Math 141, online)
- Fall 2020          Calculus for Business Administration and Social Sciences (Math 122, three sections, online)
- Summer 2020  Algebraic Structures I (Math 546/701I, online)
- Spring 2020     Calculus II (Math 142, two sections)     &    Elementary Differential Equations (Math 242)
- Fall 2019          Calculus for Business Administration and Social Sciences (Math 122, three sections)
At University of Oklahoma:
- Spring 2019    Calculus I Business Calculus (Math 1743)
- Fall 2018         Calculus II-Discussion (Math 2924)
- Spring 2018    Calculus II-Discussion (Math 2924)
- Fall 2017        Calculus II-Discussion (Math 2423)
Selected Talks
- Some results on Eisenstein series,  AMS Special Session on Recent Advances on the Langlands Program, Spring Western Sectional Meeting, May 15, 2022. (Invited talk, online)
- Eisenstein series from an adelic point of view,  Algebra, Geometry, and Number Theory Seminar, University of South Carolina, Apr 15, 2022. (online)
- Classical and adelic Eisenstein series,  2022 Zhangzhou L-functions and Related Topics Conference, Minnan Normal University, Apr 4, 2022. (Invited talk, online, postponed)
- Classical and adelic Eisenstein series of weight 2,  34th Automorphic Forms Workshop, Provo, Utah, Mar 19, 2022. (online)
- On certain Siegel modular forms of level 4,  2022 Southern Regional Number Theory Conference, Louisiana State University, Mar 13, 2022. (online)
- Counting cuspidal automorphic representations of GSp(4) and dimensions of Siegel cusp forms,  Institute of Geometry and Physics, University of Science and Technology of China, Jan 11, 2022. (Invited talk, online)
- Counting cuspidal automorphic representations of GSp(4) and dimensions of Siegel cusp forms,  Sichuan Normal University, Dec 29, 2021. (Invited talk, online)
- On dimension formulas of Siegel modular forms of level 4,  WCNT 2021: Problems in Number Theory, Dec 17, 2021. (online)
- Classical modular forms and local-global representation theory,  Nankai University, Dec 10, 2021. (Invited talk, online)
- Dimension formulas for spaces of Siegel modular forms of Klingen level 4,  Sun Yat-sen University (Zhuhai), Dec 6, 2021. (Invited talk, online)
- Siegel modular forms of degree 2 and Klingen level 4,  Morningside Seminar on Number Theory, Morningside Center of Mathematics, Nov 17, 2021. (Invited talk, online)
- Siegel modular forms of degree 2 and Klingen level 4,  University of Science and Technology of China, Nov 2, 2021. (Invited talk, online)
- On dimensions of the spaces of Siegel modular forms,  Algebra, Geometry, and Number Theory Seminar, University of South Carolina, Oct 29, 2021. (hybrid)
- Siegel modular forms of level 4,  PAlmetto Joint Arithmetic, Modularity, and Analysis Series III, Sept 26, 2021. (online)
- Dimension formulas of Siegel cusp forms for certain congruence subgroups,  Women in automorphic forms, Bielefeld University, Sept 21, 2021. (online)
- On counting cuspidal automorphic representations of GSp(4),  New Developments in Number Theory, Jun 1, 2021. (online)
- On counting cuspidal automorphic representations of GSp(4),  Mid-Atlantic Seminar On Numbers V, Mar 28, 2021. (online)
- An equidistribution theorem for cuspidal automorphic representations of GSp(4),  Sichuan University, Jan 29, 2021. (Invited talk, online)
- Analogues of Alladi's formula over global function fields,  PAlmetto Joint Arithmetic, Modularity, and Analysis Series II, Dec 6, 2020. (online)
- The equidistribution theorem for a certain family of cuspidal automorphic representations for GSp(4),  Capital Normal University, Nov 14, 2020. (Invited talk, online)
- An equidistribution theorem for GSp(4) by counting cuspidal automorphic representations,  University of Science and Technology of China, Nov 12, 2020. (Invited talk, online)
- On counting cuspidal automorphic representations and an equidistribution theorem for GSp(4),  Algebra, Geometry, and Number Theory Seminar, University of South Carolina, Oct 30, 2020. (online)
- On counting automorphic representations and its connection to an equidistribution theorem for GSp(4),  Algebra Seminar, University of North Texas, Oct 23, 2020. (Invited talk, online)
- An equidistribution theorem for cuspidal automorphic representations for GSp(4),  Shandong University, Oct 22, 2020. (Invited talk, online)
- Klingen vectors of level 2 for GSp(4),  Number Theory Seminar, University of South Carolina, Oct 31, 2019.
- Klingen p^2 vectors for GSp(4),  Ninth Annual Upstate Number Theory Conference, Cornell University, Apr 28, 2019.
- A bridge between modular forms theory and representation theory,  Cameron University Math Seminar Series, Cameron University, Apr 16, 2019. (Invited talk)
- Klingen p^2 vectors for GSp(4),  33rd Automorphic Forms Workshop, Duquesne University, Mar 10, 2019.
- Klingen p^2 vectors for GSp(4),  Algebraic Geometry and Number Theory Seminar, Clemson University, Feb 26, 2019. (Invited talk)
- Klingen p^2 vectors for GSp(4),  Lie Groups Seminar, Oklahoma State University, Feb 13, 2019. (Invited talk)
- Klingen p^2 vectors for GSp(4, F),  PANTS XXXI, University of South Carolina, Dec 8, 2018.
- Klingen p^2 vectors for GSp(4),  Algebra and Representation Theory Seminar, University of Oklahoma, Nov 30, 2018.
- Dimensions of Kl(p^2)-invariant vectors for GSp(4, F),  31st Automorphic Forms Workshop, East Tennessee State University, Mar 8, 2017.
- Dimensions of spaces of Parahori-invariant vectors for Iwahori-spherical representations of GSp(4),  TORAS I, University of Oklahoma, Mar 28, 2015.
Math Links