 |
| Shaoyun Yi |
| University of South Carolina |
| Department of Mathematics |
| Columbia, SC 29208 |
| E-mail: shaoyun@mailbox.sc.edu |
| Office: COL 1005D |
|
I am an instructor in the
Department of Mathematics at the
University of South Carolina. I completed my Ph.D at University of Oklahoma under the supervision of
Ralf Schmidt.
I am currently available on the job market. Here are my
CV and
Research Statement.
Research Interests
Number Theory, Representation Theory. Specifically, I am interested in classical modular forms, local and global representation theory, L-functions, and the Langlands program.
Publications and Preprints
- Classical and adelic Eisenstein series (with Manami Roy and Ralf Schmidt).
Preprint, 2021. [arXiv].
- Generalizations of Alladi's formula for arithmetical semigroups (with Lian Duan and Ning Ma).
Submitted, 2021. [arXiv].
- 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:
- Fall 2021 Calculus for Business Administration and Social Sciences (Math 122) & Calculus I (Math 141) & Vector Calculus (Math 241)
- Summer 2021 Algebraic Structures I (Math 546/701I, online)
- Spring 2021 Calculus for Business Administration and Social Sciences (Math 122, online) & Calculus I (Math 141, online)
- Fall 2020 Calculus for Business Administration and Social Sciences (Math 122, online)
- Summer 2020 Algebraic Structures I (Math 546/701I, online)
- Spring 2020 Calculus II (Math 142) & Elementary Differential Equations (Math 242)
- Fall 2019 Calculus for Business Administration and Social Sciences (Math 122)
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
- 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, 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