Shaoyun Yi

Shaoyun Yi
University of South Carolina
Department of Mathematics
Columbia, SC 29208
E-mail: shaoyun@mailbox.sc.edu
Office: LeConte College 314E

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. Here is my CV.

Research Interests

Number Theory, Representation Theory, and Langlands Program.

Publications and Preprints

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).
Submitted, 2021. [arXiv]
Analogues of Alladi's formula over global function fields (with Lian Duan and Biao Wang).
To appear, Finite Fields and Their Applications. [PDF, 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. [PDF, DOI].
Klingen vectors of level 2 for GSp(4).
Ph.D. Thesis, University of Oklahoma, 2019. [PDF].

Teaching

At University of South Carolina:

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

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, Chengdu, Sichuan, China, 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, Beijing, China, Nov 14, 2020. (Invited talk, online)
An equidistribution theorem for GSp(4) by counting cuspidal automorphic representations, University of Science and Technology of China, Hefei, Anhui, 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, Columbia, SC, USA, Oct 30, 2020. (online)
On counting automorphic representations and its connection to an equidistribution theorem for GSp(4), Algebra Seminar, University of North Texas, Denton, Texas, USA, Oct 23, 2020. (Invited talk, online)
An equidistribution theorem for cuspidal automorphic representations for GSp(4), Shandong University, Jinan, Shandong, China, Oct 22, 2020. (Invited talk, online)
Klingen vectors of level 2 for GSp(4), Number Theory Seminar, University of South Carolina, Columbia, SC, USA, Oct 31, 2019.
Klingen p^2 vectors for GSp(4), Ninth Annual Upstate Number Theory Conference, Cornell University, Ithaca, NY, USA, Apr 28, 2019.
A bridge between modular forms theory and representation theory, Cameron University Math Seminar Series, Cameron University, Lawton, OK, USA, Apr 16, 2019. (Invited talk)
Klingen p^2 vectors for GSp(4), 33rd Automorphic Forms Workshop, Duquesne University, Pittsburgh, PA, USA, Mar 10, 2019.
Klingen p^2 vectors for GSp(4), Algebraic Geometry and Number Theory Seminar, Clemson University, Clemson, SC, USA, Feb 26, 2019. (Invited talk)
Klingen p^2 vectors for GSp(4), Lie Groups Seminar, Oklahoma State University, Stillwater, OK, USA, Feb 13, 2019. (Invited talk)
Klingen p^2 vectors for GSp(4, F), PANTS XXXI, University of South Carolina, Columbia, SC, USA, Dec 8, 2018.
Klingen p^2 vectors for GSp(4), Algebra and Representation Theory Seminar, University of Oklahoma, Norman, OK, USA, Nov 30, 2018.
Dimensions of Kl(p^2)-invariant vectors for GSp(4, F), 31st Automorphic Forms Workshop, East Tennessee State University, Johnson City, TN, USA, Mar 8, 2017.
Dimensions of spaces of Parahori-invariant vectors for Iwahori-spherical representations of GSp(4), TORAS I, University of Oklahoma, Norman, OK, USA, Mar 28, 2015.