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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:20250929T161500
DTEND;TZID=America/Los_Angeles:20250929T171500
DTSTAMP:20260423T162515
CREATED:20250922T153239Z
LAST-MODIFIED:20250922T153239Z
UID:3850-1759162500-1759166100@colleges.claremont.edu
SUMMARY:Bounds and Extremal Examples for the Hot Spots Ratio (Alex Hsu\, University of Washington)
DESCRIPTION: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 failure can be measured by the hot spots ratio\, defined as the maximum over the entire domain divided by the maximum on the boundary. We determine the supremum of this quantity over all Lipschitz domains in every dimension $d$ and construct a sequence of sets for which the hot spots ratio approach this supremum. As $d\to \infty$\, this maximal ratio converges to $\sqrt{e}$\, which matches the previously best known upper bounds.
URL:https://colleges.claremont.edu/ccms/event/bounds-and-extremal-examples-for-the-hot-spots-ratio-alex-hsu-university-of-washington/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ryan Aschoff":MAILTO:ryan.aschoff@cgu.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20250930T121500
DTEND;TZID=America/Los_Angeles:20250930T131000
DTSTAMP:20260423T162515
CREATED:20250927T185625Z
LAST-MODIFIED:20250927T185625Z
UID:3874-1759234500-1759237800@colleges.claremont.edu
SUMMARY:Algebraic lattices and Pisot polynomials (Lenny Fukshansky\, CMC)
DESCRIPTION: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 roots of an irreducible polynomial f(x) of prime degree n. In this case\, the resulting lattice has rank n or n-1 and includes the Galois group of f(x) as a subgroup of its automorphism group. Of particular interest is the case of Pisot polynomials\, i.e.\, polynomials with one positive real root and the rest of the roots in the unit circle. We construct infinite families of such polynomials of any prime degree for which the resulting lattices have bases of minimal vectors\, a property of interest in coding theory and cryptography applications. In case of the Galois group being cyclic\, A_n\, or S_n we derive formulas for the determinant of the lattice in terms of the symmetric functions of the roots of f(x). This is joint work with Evelyne Knight (Pomona College).
URL:https://colleges.claremont.edu/ccms/event/algebraic-lattices-and-pisot-polynomials-lenny-fukshansky-cmc/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20251002T160000
DTEND;TZID=America/Los_Angeles:20251002T170000
DTSTAMP:20260423T162515
CREATED:20250922T013036Z
LAST-MODIFIED:20250922T013226Z
UID:3847-1759420800-1759424400@colleges.claremont.edu
SUMMARY:Analysis seminar: Transfinite Apollonian metric (Zair Ibragimov\, CSU Fullerton)
DESCRIPTION:Title: Transfinite Apollonian metric \nAbstract: 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 has since been used in the study of non-Euclidean geometries\, hyperbolic-type metrics\, and quasiconformal mappings. After a brief introduction to these concepts\, we will discuss in some details the constructions of Apollonian metrics of order k and the transfinite Apollonian metric. Time permitting\, we will discuss several properties\, connections to other hyperbolic-type metrics\, and some open problems.
URL:https://colleges.claremont.edu/ccms/event/analysis-seminar-transfinite-apollonian-metric-zair-ibragimov-csu-fullerton/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
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DTSTART;TZID=America/Los_Angeles:20251003T110000
DTEND;TZID=America/Los_Angeles:20251003T121500
DTSTAMP:20260423T162515
CREATED:20250923T140603Z
LAST-MODIFIED:20251003T021636Z
UID:3859-1759489200-1759493700@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Ruby Kim (University of Michigan)
DESCRIPTION:CCMS Colloquium invites you to a talk by Ruby Kim (University of Michigan) \nTitle: Mathematical Models of Circadian Rhythms and Seasonal Timing\n \nAbstract: 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 patterns even in total darkness)\, but they are also strongly influenced by the environment\, especially light. Mathematical models of circadian rhythms have provided insight into many intriguing phenomena\, including jet lag\, mid-afternoon fatigue\, and how animals sense the changing seasons. In this talk\, I will introduce how mathematical models of circadian rhythms are constructed and used. Then\, I will share recent work on seasonal timing in a large population of medical interns\, using data collected from wearable devices. Our results suggest that seasonal timing plays a key role in how people respond to shift work. Overall\, the goal of this talk is to introduce how mathematical modeling can be used to better understand biological rhythms and their impact on daily life.\n \nBio: I am originally from Koreatown\, Los Angeles. I did my undergraduate studies at Pomona College (Class of ’17)\, where I majored in math and completed a thesis under the mentorship of Dr. Ami Radunskaya. I enjoyed teaching mathematics and doing research\, so I decided to pursue graduate studies in math at Duke University. During my PhD\, I fell in love with biological rhythms and mathematical neuroscience. Currently\, I am a postdoc at the University of Michigan using mathematical modeling and data science to study biology and health. During my free time\, I enjoy playing pool\, hanging out with my dog\, and reading.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-ruby-kim-university-of-michigan/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20251004T100000
DTEND;TZID=America/Los_Angeles:20251004T115500
DTSTAMP:20260423T162515
CREATED:20250911T185952Z
LAST-MODIFIED:20250922T183437Z
UID:3824-1759572000-1759578900@colleges.claremont.edu
SUMMARY:GEMS October 4th Session
DESCRIPTION:This GEMS session will be facilitated by Professor Chiu-Yen Kao from Claremont McKenna College.\n\n\nTitle: Finding Your Optimal Paths\n\nAbstract: 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 for finding the shortest paths between nodes in a graph and Fermat’s principle on the least time path taken between two points by a ray of light. Students will get hands-on experience on building a graph network on a real map and study different path planning problems. To inspire students to explore more advanced topics\, some complicated path planning questions in high dimensions will be discussed at the end.
URL:https://colleges.claremont.edu/ccms/event/gems-october-4th-session/
LOCATION:Shanahan B450\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, 91711\, United States
CATEGORIES:GEMS
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