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X-WR-CALNAME:Claremont Center for the Mathematical Sciences
X-ORIGINAL-URL:https://colleges.claremont.edu/ccms
X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20220302T161500
DTEND;TZID=America/Los_Angeles:20220302T173000
DTSTAMP:20260503T222334
CREATED:20220221T184448Z
LAST-MODIFIED:20220221T202722Z
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SUMMARY:On sparse geometry of numbers (Prof. Lenny Fukshansky)
DESCRIPTION:Title: On sparse geometry of numbers\n\nSpeaker: Prof. Lenny Fukshansky\, Department of Mathematics\, Claremont McKenna College\n\n\nAbstract: Geometry of Numbers is an area of mathematics pioneered by Hermann Minkowski at the end of the 19th century. He achieved stunning success introducing a novel geometric framework into the study of algebraic numbers\, prompting mathematicians of later generations to compare his work to “the story of Saul\, who set out to look for his father’s asses and discovered a Kingdom” (J. V. Armitage). In this talk\, we will look at some contemporary variations of Minkowski’s classical results that will take us on a journey from linear algebra and convex analysis to algebraic number theory and arithmetic geometry. This is joint work with P. Guerzhoy and S. Kuehnlein. \n\n\nLenny Fukshansky is a Professor of Mathematics at Claremont McKenna College. His work is at the intersection of number theory\, discrete geometry and geometric combinatorics. He is especially interested in lattices\, quadratic forms\, polynomials\, height functions and Diophantine problems. When not doing math\, Lenny loves biking in the mountains and drinking wine\, although tries not to do it simultaneously.
URL:https://colleges.claremont.edu/ccms/event/on-sparse-geometry-of-numbers/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220309T160000
DTEND;TZID=America/Los_Angeles:20220309T174500
DTSTAMP:20260503T222334
CREATED:20220307T083704Z
LAST-MODIFIED:20220307T083802Z
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SUMMARY:CCMS Field Committee Meeting
DESCRIPTION:The Field Committee Meeting is our chance to socialize with our colleagues and coordinate our course offerings for the coming academic year (2022-2023). Please come to discuss course offerings and other synergistic items. Refreshments in the Shanahan sunken courtyard at HMC starting at 4:00\, meeting in Shanahan B460 at 4:20. \nWe will be back in person for this meeting. A Zoom link will also be sent out\, for those unable to attend physically.
URL:https://colleges.claremont.edu/ccms/event/ccms-field-committee-meeting-2/
LOCATION:Shanahan B460\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
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DTSTART;TZID=America/Los_Angeles:20220323T161500
DTEND;TZID=America/Los_Angeles:20220323T173000
DTSTAMP:20260503T222334
CREATED:20220320T201004Z
LAST-MODIFIED:20220320T201104Z
UID:2667-1648052100-1648056600@colleges.claremont.edu
SUMMARY:The 6 Cs - Covid and the 5 Claremont Colleges (Prof. Maryann E. Hohn)
DESCRIPTION:Title: The 6 Cs – Covid and the 5 Claremont Colleges \nSpeaker: Maryann E. Hohn\, Department of Mathematics and Statistics\, Pomona College \nAbstract: The Claremont Colleges’ (5Cs) environment consists of students\, faculty\, and staff that congregate together in indoor spaces\, creating a higher risk for possible COVID-19 infection.  Additionally\, a majority of the students live on campus\, presenting a relatively closed campus environment that limits students’ interactions with their greater community. However\, the close knit quarters in which students live may contribute to a rise in infections that may ultimately reach other more vulnerable populations on the campuses such as faculty and staff. \n  \nIn this talk\, we present several models of COVID-19 spread at the 5Cs.  We start with an early model consisting of several interconnected modified SEIR differential equations to investigate the dynamics between different populations at the 5Cs and the influence of mitigation techniques such as students adhering to health protocols and contact tracing. With the addition of vaccines\, we show how the model changed\, how student researchers are contributing to our models\, and how a few students created their own.\n \n\nDr. Maryann Hohn is a Visiting Assistant Professor of Mathematics and Statistics at Pomona College.  Her research interests lie in mathematical modeling and data analysis to solve societal problems.  She utilizes a variety of mathematical tools such as stochastic processes\, PDEs\, numerical analysis\, and graph theory.  She also actively supports groups like AWM that support students in underrepresented groups\, mentors both undergraduate and graduate students\, and advises undergraduate researchers.
URL:https://colleges.claremont.edu/ccms/event/the-6-cs-covid-and-the-5-claremont-colleges-prof-maryann-e-hohn/
LOCATION:Shanahan B460 (HMC) and Zoom – Hybrid
CATEGORIES:Colloquium
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220330T161500
DTEND;TZID=America/Los_Angeles:20220330T173000
DTSTAMP:20260503T222334
CREATED:20220311T141931Z
LAST-MODIFIED:20220328T160742Z
UID:2658-1648656900-1648661400@colleges.claremont.edu
SUMMARY:Voronoi Tessellations:  Optimal Quantization and Modeling Collective Behavior (Prof. Rustum Choksi)
DESCRIPTION:Title: Voronoi Tessellations: Optimal Quantization and Modeling Collective Behavior \nSpeaker: Prof. Rustum Choksi\, Department of Mathematics and Statistics\, McGill University \nAbstract:  Given a set of N distinct points (generators) in a domain (a bounded subset of Euclidean space or a compact Riemannian manifold)\, a Voronoi tessellation is a partition of the domain into N regions (Voronoi cells) with the following property: all points in the interior of the ith Voronoi cell are closer to the ith generating point than to any other generator.  Voronoi tessellations give rise to a wealth of analytic\, geometric\, and computational questions. They are also very useful in mathematical and computational modeling. \nThis talk will consist of three parts: \n\nWe begin by introducing the basic definitions and geometry of Voronoi tessellations\,  centroidal Voronoi tessellations (CVTs)\, and the notion of optimal quantization.\nWe will then address simple\, yet rich\, questions on optimal quantization on the 2D and 3D torus\, and on  the 2-sphere. We will address the geometric nature of the global minimizer (the optimal CVT)\, presenting a few conjectures and a short discussion on rigorous asymptotic results and their proofs.\nWe will then shift gears to address the use Voronoi tessellations in modeling collective behaviors.\n\nCollective behavior in biological systems\, in particular the contrast and connection between individual and collective behavior\, has fascinated researchers for decades. A well-studied paradigm entails the tendency of groups of individual agents to form flocks\, swarms\, herds\, schools\, etc. We will first review some well-known and widely used models for collective behavior.  We will then present a new dynamical model for generic crowds in which individual agents are aware of their local Voronoi environment — i.e.\, neighboring agents and domain boundary features –and may seek static target locations. Our model incorporates features common to many other active matter models like collision avoidance\, alignment among agents\, and homing toward targets. However\, it is novel in key respects: the model combines topological and metrical features in a natural manner based upon the local environment of the agent’s Voronoi diagram. With only two parameters\, it captures a wide range of collective behaviors. The results of many simulations will be shown. \n\nRustum Choksi received the PhD degree in mathematics from Brown University\, in 1994. He held post-doctoral positions with the Center for Nonlinear Analysis\, Carnegie Mellon University and the Courant Institute\, New York University. From 1997 to 2010\, he was a faculty member with the Department of Mathematics\, Simon Fraser University. In 2010\, he joined McGill University where he is currently a full professor with the Department of Mathematics and Statistics. His main research interests include interaction of the calculus of variations and partial differential equations with pattern formation.
URL:https://colleges.claremont.edu/ccms/event/voronoi-tessellations-optimal-quantization-and-modeling-collective-behavior-prof-rustum-choksi/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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