Southern Regional Number Theory Conference

Poster

Please click here for the poster.

Talks

The slides for the talks can be found on the schedule page.

Survey

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About the Conference

Modular forms and modular curves appear naturally in many areas in mathematics, computer sciences and physics, especially the string theory. The theory of modular forms and modular curves has close ties to Galois representations, L-functions, and algebraic varieties such as elliptic curves. Traditionally, understanding the arithmetic properties of classical modular forms boils down to studying the arithmetic of their Fourier q-expansions. In recent times more general modular forms have become central objects of study. Instead of using Fourier expansions, one can realize modular forms as solutions of differential equations. In particular, modular forms on arithmetic triangle groups can be expressed in terms of Gauss hypergeometric functions. On the other hand, Gauss hypergeometric functions are periods of generalized Legendre curves. The hypergeometric functions over complex field, finite fields, and their truncated version play important roles in the study of generalized Legendre curve, by providing lots of information of these curves. Higher dimensional analogues to the generalized Legendre curves, hypergeometric varieties enjoy tight connections with modular forms, hypergeometric functions in different settings as well.

Click here for the brochure.

Confirmed Plenary Speakers

Luca Candelori	Wayne State University
William Chen	McGill University
Jenny Fuselier	High Point University
Victor Hugo Moll	Tulane University
Armin Straub	University of South Alabama
Yilong Wang	Louisiana State University

A BIG Thanks to our Sponsors

, College of Science, Office of Research and Economic Development

Organizers

Jerome Hoffman	Louisiana State University	hoffman@math.lsu.edu
Ling Long	Louisiana State University	llong@math.lsu.edu
Karl Mahlburg	Louisiana State University	mahlburg@math.lsu.edu
Liem Nguyen	Louisiana State University	lngu145@math.lsu.edu
Bao Pham	Louisiana State University	bpham11@math.lsu.edu
Fang-Ting Tu	Louisiana State University	tu@math.lsu.edu

Previous Conferences:

Louisiana State University, 2014

Louisiana State University, 2017

Louisiana State University, 2020