Fall 2025 Horizons Lectures
Photo Credit: Rod Searcey
The Department of Mathematics is pleased to announce Professor Jinyoung Park of the Courant Institute of Mathematical Sciences at New York University to give the Fall 2025 Horizons Lectures series.
Jinyoung Park earned her Ph.D. in mathematics from Rutgers University in 2020, under the supervision of Jeff Kahn. Following her Ph.D., she was a postdoctoral researcher at the Institute for Advanced Study (IAS) and Stanford University before joining the faculty of the Courant Institute at NYU in 2023. Her research interests include extremal and probabilistic combinatorics. Park received her bachelor's degree in mathematics education from Seoul National University in 2005 and worked as a secondary school mathematics teacher until 2011.
Department Colloquium
Wednesday, December 3, 2025
Fine Hall 314, 4:30PM - 5:30PM
The Convexity Conjecture, the Kahn-Kalai Conjecture, and introduction to k-thresholds
The "Convexity Conjecture" by Talagrand asks (very roughly) whether one can "create convexity" in constant steps regardless of the dimension of the ambient space. Talagrand also suggested a discrete version of the Convexity Conjecture and called it "my lifetime favorite problem," offering $1,000 prize for its solution. We introduce a reformulation of the discrete Convexity Conjecture using the new notion of "k-thresholds," which is an extension of the traditional notion of thresholds, introduced by Talagrand. Some ongoing work on understanding k-thresholds, along with a (vague) connection between the Kahn-Kalai Conjecture and the discrete Convexity Conjecture, will also be discussed.
Joint work with Ascoli, He, and Talagrand.
Horizons Seminar
Thursday, December 4, 2025
McDonnell Hall A01, 7:00PM - 8:00PM
A Fireside Chat with Jinyoung Park — Paths to Math: a Conversation
Moderator: Alison Tatsuoka