Atul Vyas was an outstanding CMC student who was majoring in Mathematics and Physics. He tragically lost his life in a train crash that occurred on September 12, 2008 in Chatsworth, California. The Mathematical Sciences Department at CMC fondly remembers Atul as someone who was equally excited by the power of mathematical abstraction and the […]
CCMS Colloquium invites you to a talk by Robert Sanchez (HMC) Title: Tides: Under the Sea and Under the Ice Abstract: Physical oceanography is the study of ocean fluid dynamics (e.g., waves, currents, plumes, turbulence). This talk will introduce physical oceanography and the methods used to analyze ocean data such as time-series analysis and numerical […]
Abstract: The problem of classification in machine learning has often been approached in terms of function approximation. In this talk, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields both the number of classes, and a perfect classification using a minimal number of queried labels. Our approach uses […]
I will talk about some results concerning the non-vanishing of $L$-functions associated to fixed order characters $\ell$ at the central point over functions fields. Quadratic characters have been studied a lot over the years, and very good non-vanishing results are available in this case, due to work of Soundararajan. When focusing on cubic and higher […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Chris Grossack (UC Riverside) Title: Explicitly Computing Fukaya Categories of Surfaces Abstract: Fukaya categories are rich and interesting invariants of symplectic manifolds that are often difficult to compute in practice. In the case of surfaces, however, the computation becomes pleasantly combinatorial, and can […]
CCMS Colloquium invites you to a talk by Shriya Nagpal (Pitzer) Title: Synchronization in Erdős–Rényi Graphs with Kuramoto Dynamics: A Graphon Approach Abstract: Networks of coupled Kuramoto oscillators have been used to model a wide array of phenomena, including circadian rhythms, flashing fireflies, and high-voltage electric grids. In many such applications, synchronization is an emergent behavior […]
We'll be back next week! Happy Thanksgiving!
Abstract: Modern machine learning and scientific computing pose optimization challenges of unprecedented scale and complexity, demanding fundamental advances in both theory and algorithmic design for nonconvex optimization. This talk presents recent advances that address these challenges by exploiting matrix and tensor structures, integrating adaptivity, and leveraging sampling techniques. In the first part, I introduce AdaGO, […]
Hunter's theorem ensures that the complete homogeneous symmetric (CHS) polynomials of even degree are positive definite functions. We provide new proofs of Hunter's theorem, applications to operator theory, and a noncommutative (NC) generalization that sheds light even on the commutative case. Surprisingly, this work emerged from a problem in analytic combinatorics.
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Indraneel Tambe (UCLA) Title: Steinberg skein relations at roots of unity Abstract: This talk discusses some of the relationships between skein theory and the representation theory of quantum sl2 when q is a root of unity. Specifically, I focus on the Frobenius pullback […]
CCMS Colloquium invites you to a talk by Konstantin Zuev (Caltech) Title: Course-Prerequisite Networks Abstract: An academic curriculum is a complex system of courses and their interactions that lies at the heart of an academic institution and underlies its educational mission. Understanding these systems is essential for providing high-quality education. Course-prerequisite networks (CPNs) are directed […]
This GEMS session will be facilitated by Professor Ryan Aschoff from the Claremont Graduate University. Title: Randomness: Creating Order from Chaos Abstract: From the hiss of white noise to the gentle hum of ocean waves, randomness surrounds us — yet hidden within that chaos lies remarkable order. In this talk, we’ll explore how unpredictable events, […]
