Shaoyun Yi

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 on the job market in Fall 2021. 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, the Langlands program, number theory in function fields and abstract analytic number theory.

Publications and Preprints

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, to appear. [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

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.