This GEMS session will be facilitated by Professor Qidi Peng and William Wu from Claremont Graduate University. Title: The Beauty of Fractal Geometry Abstract: We will introduce fractal geometries, which are described in continuous but nowhere differential functions. We will tell the students where to find these geometries in the nature and how to describe them using […]
Quandles are algebraic structures encoding the motion of knots through space. Quandle cocycle quivers categorify the quandle cocycle invariant. In this talk we will define a quiver representation associated to quandle cocycle quivers and use it to obtain new polynomial invariants of knots.
Speaker: Hrushikesh Mhaskar, Distinguished Research Professor of Mathematics, Claremont Graduate University Title: Local Analysis Of Global Data Abstract: For a periodic integrable function f, the definition of Fourier coefficients requires the values of f on the entire period. We refer to such data as “global” data. Even though the sequence of Fourier coefficients determines f […]
Let K be a compact convex set in the Euclidean space R^n. How many lights are needed to illuminate its boundary? A classical conjecture of Boltyanskii (1960) asserts that 2^n lights are sufficient to illuminate any such set K. While this is still open, an earlier observation of Hadwiger (1945) guarantees that if K has […]
Speaker: Nabil Fadai, Professor of Mathematical Biology, University of Nottingham Title: Stochastic Agent-Based Models in Mathematical Biology Abstract: In the last decade, there has been a movement to describe biological and social systems via agent-based models, which track individual agents (organisms, cells, people) and their environment through a set of deterministic and probabilistic rules. In this talk, […]
This one-day workshop assembles diverse perspectives from the history and philosophy of mathematics to examine ways in which mathematics is applied and impure. Topics will range from applications of mathematics in the natural and social sciences to impure proofs that transcend a single mathematical domain. Please RSVP here by Monday, February 10th to attend the […]
Title: Renormalization and wild attractors for Fibonacci maps Abstract: A Fibonacci map is a piecewise defined map of a subset of an interval I onto I with a unique critical point of order d whose orbit undergoes nearest returns at Fibonacci times. It has been shown by Bruin, Keller, Nowicki and van Strien that such […]
Following Kalashnikov, we recover Givental’s small J function for CP^1 by viewing it as a quiver flag variety.
We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Shane Rankin (University of California, Riverside) Title: Symplectic Hodge Theory on Lie Algebroids Abstract: Symplectic Hodge Theory was developed in the late 80s to answer a conjecture of Brylinksi. Since then it has been used to understand the gap between Symplectic and […]
Title: Journey of Black Mathematicians Film Description: Creating Pathways (2025) highlights the lives of Black mathematicians who pursued their education at predominantly White institutions. The film gauges the impacts of segregation and prejudice, surveys attitudes around identity, and introduces programs aimed at increasing the number of African Americans in STEM fields. Exploring questions about the […]
Title: Smooth non-decaying solutions to the 2D dissipative quasi-geostrophic equations Abstract: In this talk we explore the two-dimensional dissipative surface quasi-geostrophic (SQG) equation with fractional diffusion of order 2α for α ∈ (1/2,1], focusing on the setting where the initial data does not decay at spatial infinity and periodicity is not assumed. In geophysical applications, […]
Following Kalashnikov, we recover Givental’s small J function for CP^1 by viewing it as a quiver flag variety.
