Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Colloquium

Event Type: Seminar/Symposium
Sponsor: Yuan Liu
Location: 165 Noyes; reception in 300 Harker at 3pm
Date: Sep 18, 2025 4:00 - 5:00 pm
Speaker: Bianca Viray
Views: 109
Originating Calendar: General Events - Department of Mathematics; Title: Parameterized and isolated points on curves

Abstract: Let C be an algebraic curve over Q of genus at least 2, i.e., a 1-dimensional negatively curved complex manifold defined by polynomial equations with rational coefficients.
A celebrated result of Faltings implies that, despite the hyperbolicity of C, all algebraic points on C are organized into families of nonnegative curvature. We explore how these families provide insight into the arithmetic of C and give applications to the study of elliptic curves. This talk is based in part on joint work with A. Bourdon, Ö. Ejder, Y. Liu, and F. Odumodu, with I. Vogt, and with I. Balçik, S. Chan, and Y. Liu. This talk will be suitable for a general audience.

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