Abstract: The shape of the fluctuations as heat approaches equilibrium in an insulated body are governed by the first Neumann eigenfunction of the Laplacian. Rauch's hot spots conjecture states that the extrema of the first nontrivial Neumann Laplacian eigenfunction for a Lipschitz domain lies on the boundary. While this conjecture is false in general, its […]
A Z-module M in a number field K gives rise to a lattice in the corresponding Euclidean space via Minkowski embedding. Such lattices often carry inherited structure from the number […]
Title: Transfinite Apollonian metric Abstract: The concept of transfinite diameter of compact sets in the complex plane was introduced by Fekete in 1923. It is a generalization of the standard diameter of sets and has found many applications in the study of conformal mappings. The Apollonian metric was introduced by A. Beardon in 1995 and […]
CCMS Colloquium invites you to a talk by Ruby Kim (University of Michigan) Title: Mathematical Models of Circadian Rhythms and Seasonal Timing Abstract: The circadian clock shapes nearly 24-hour periodic rhythms throughout the body, from the activity of individual cells to our daily sleep/wake cycles. These rhythms can be self-sustained (for example, people still show circadian […]
This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College. Title: Finding Your Optimal Paths Abstract: Path planning plays an important role in many aspects of our daily life, among which are transportation, robotics, and optics. In this session, we will explore the mathematics behind path planning including the Dijkstra's algorithm […]
Abstract: It is common to use adjuvants in immunotherapeutic regimens to strengthen the immune response. However, multiple dosages are required making it inconvenient for the patient. Hydrogels have been proposed as a vehicle to administer adjuvant and antigen in a sustained slow release thus reducing the need for re-administration. In this instance, we use experimental […]
Given any finite set of integer points S, there is an associated function f_S that encodes S, which we call its integer point transform. One can think of this integer […]
CCMS Colloquium invites you to a talk by Sinai Robins (University of São Paulo - Brazil) Title: An introduction to the geometry of numbers through the lens of analysis Abstract: We introduce the geometry of numbers, beginning from the first principles, and proceeding to modern research topics in the field. Our point of view includes […]
Please join us for a career discussion with three great panelists: Sireesh Vinnakota - Graduate Student at UCI Luke Trujillo - Senior Software Engineer at Operant AI Michelle Goodwin - Trader at Allspring Global Investments This will be a virtual meeting only. Zoom link: https://nam02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcmc-its.zoom.us%2Fj%2F83719659422&data=05%7C02%7Cluisa.gianuca%40cgu.edu%7C46994ae71bc5453cc6a908de0a886a47%7C19afb2c85efd4718a107530ed963d11e%7C0%7C0%7C638959778224324835%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=8pRyjqWBxWliFUf5ciI8doXyCYTzyIJ9NSrX6obEMwA%3D&reserved=0 Meeting ID: 837 1965 9422
Abstract: Earlier work has shown that similarity-based predictive models can improve upon predictive performance, as compared to using the entire training data to help build models, particular regarding model discrimination for binary responses. My collaborators and I have some updated results to share, regarding similarity-based modeling for joint consideration of model calibration and discrimination, as […]
The Riemann–Hilbert correspondence relates algebra to differential equations on complex algebraic varieties. In characteristic p, there is an analogous correspondence due to Emerton–Kisin and later generalized by Bhatt–Lurie, where the […]
We welcome all undergraduate/graduate students and faculty to attend topology seminar! Speaker: Puttipong Pongtanapaisan (Pitzer College) Title: Special Positions of Shapes in Four-Dimensional Space Abstract: I will begin by convincing you that four-dimensional space is more familiar than it might first appear. Then, I will introduce ways in which mathematicians study objects in 4-space. Each […]
