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DTSTART;TZID=America/Los_Angeles:20220207T161500
DTEND;TZID=America/Los_Angeles:20220207T171500
DTSTAMP:20260416T105357
CREATED:20220125T183035Z
LAST-MODIFIED:20220201T005247Z
UID:2565-1644250500-1644254100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Yunied Puig de Dios (CMC)
DESCRIPTION:Title: Modern techniques to approach the invariant subspace problem \nAbstract:  The invariant subspace problem is by far one of the most important problems in operator theory. It has been open for more than half a century\, and there are many significant contributions with a huge variety of techniques\, making this challenging problem so interesting; however the solution seems to be nowhere in sight. In this talk we are going to present a technique born in the 90’s and developed in the last two decades that has contributed tremendously to approach the invariant subspace problem\, becoming a very popular branch of operator theory and functional analysis\, called linear dynamics.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-yunied-puig-de-dios-cmc/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220208T123000
DTEND;TZID=America/Los_Angeles:20220208T132000
DTSTAMP:20260416T105357
CREATED:20220131T003643Z
LAST-MODIFIED:20220131T003643Z
UID:2585-1644323400-1644326400@colleges.claremont.edu
SUMMARY:Frame coherence and nearly orthogonal lattices (Lenny Fukshansky\, CMC)
DESCRIPTION:A frame in a Euclidean space is a spanning set\, which can be overdetermined. Large frames are used for redundant signal transmission\, which allows for error correction. An important parameter of frames is coherence\, which is maximal absolute value of the cosine of the angle between two frame vectors: the smaller it is\, the closer is the frame to being orthogonal\, which minimizes noise from overlapping frequencies in transmission. One good source frames with sufficiently low coherence comes from layers of minimal vectors in a lattice. We will discuss a particular class of so-called nearly orthogonal lattices\, which exhibits some interesting properties from the stand-point of coherence and other related optimization problems. This is joint work with David Kogan (CGU).
URL:https://colleges.claremont.edu/ccms/event/frame-coherence-and-nearly-orthogonal-lattices-lenny-fukshansky-cmc/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220208T150000
DTEND;TZID=America/Los_Angeles:20220208T160000
DTSTAMP:20260416T105357
CREATED:20230913T074942Z
LAST-MODIFIED:20230913T074942Z
UID:3223-1644332400-1644336000@colleges.claremont.edu
SUMMARY:Experimental Knot Music v2 (Sam Nelson\, CMC)
DESCRIPTION:In this talk I will recount the history of my knot theory-based music project and show an example of my method for creating music from knot homsets.
URL:https://colleges.claremont.edu/ccms/event/experimental-knot-music-v2-sam-nelson-cmc/
LOCATION:Zoom
CATEGORIES:Topology Seminar
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20220209T161500
DTEND;TZID=America/Los_Angeles:20220209T173000
DTSTAMP:20260416T105357
CREATED:20220131T170105Z
LAST-MODIFIED:20220131T170634Z
UID:2588-1644423300-1644427800@colleges.claremont.edu
SUMMARY:Modeling the waning and boosting of immunity (Prof. Lauren Childs)
DESCRIPTION:Title: Modeling the waning and boosting of immunity\n\n\nSpeaker: Dr. Lauren Childs\nAssistant Professor and the Cliff and Agnes Lilly Faculty Fellow\nVirgina Tech\n\n \nAbstract: Infectious disease often leads to significant loss of life and burden on society. Understanding disease dynamics is essential to the development and implementation of earlier and more effective interventions. Traditionally\, perfect\, long-lasting protection against disease is assumed to be acquired\, but this need not always be the case. Immunity following natural infection (or immunization) may wane\, increasing susceptibility with time since exposure. In this talk\, we begin by examining a classic model of waning and boosting immunity with a focus on the bifurcation structure and how it changes as reinfection is considered. Then\, we discuss an extension of this framework with an age- and immune status-dependent model of disease transmission. In this model\, susceptibility\, infectiousness\, and symptom severity all vary with immune status\, while age affects contacts and vaccination.  We examine applications of this model to two diseases: pertussis\, commonly known as whooping cough\, and COVID-19. For pertussis\, we examine age-specific incidence and prevalence and find vaccination leads to a resurgence of immunity-modified pertussis in older children\, as observed with effective vaccination programs. For COVID-19\, we examine the role of waning and boosting immunity to estimate seroprevalence in Canada and to evaluate vaccination strategies. We find a large fraction of the Canadian population with some immunity following infection or vaccination\, but that the quality and longevity of this immunity decreases with time. Using contact and demographic data from specific locations coupled with disease-specific parameterization\, our model has the potential to assist in the development and optimization of vaccination schedules. This is important to mitigate resurgence of immunity-modified disease due to natural boosting.\n\n\nDr. Lauren Childs is an Assistant Professor in the Department of Mathematics and the Cliff and Agnes Lilly Faculty Fellow in the College of Science at Virginia Tech. Her research focuses on developing and analyzing mathematical and computational models for a better understanding of the dynamics of infectious diseases\, in particular vector-borne diseases such as malaria. Her research emphasizes the interactions within a host organism\, such as between an invading pathogen and the immune response\, and the impacts of such interactions on transmission between individuals in the population.
URL:https://colleges.claremont.edu/ccms/event/modeling-the-waning-and-boosting-of-immunity-prof-lauren-childs/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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