A graphical design is a quadrature rule for a graph inspired by classical numerical integration on the sphere. Broadly speaking, that means a graphical design is a relatively small subset of graph vertices chosen to capture the global behavior of functions from the vertex set to the real numbers. We first motivate and define graphical […]
Title: Geometric classification problems with the Bergman metric Abstract: One of the common problems in mathematics is the classification problem: When are two mathematical structures really the same? The classification problem appears throughout undergraduate mathematics courses in different forms. For example, in an abstract algebra course, one asks when are two groups isomorphic? In a […]
CCMS Colloquium invites you to a talk by Assistant Professor of Mathematics Robert Cass of Claremont McKenna College: Title: An introduction to the Langlands program Abstract: Class field theory, which was established in the early 20th century, has its origins in Gauss's law of quadratic reciprocity. As such, it allows one to determine whether certain […]
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 field in question and can be attractive from both, theoretical and applied perspectives. We consider this construction when M is spanned by the set of […]
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 point transform f_S algebraically or analytically. Here we focus on its analytic properties, showing that it is a complete invariant. In fact, we prove that […]
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
