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DTSTART;TZID=America/Los_Angeles:20230327T161500
DTEND;TZID=America/Los_Angeles:20230327T171500
DTSTAMP:20260404T162942
CREATED:20221026T182923Z
LAST-MODIFIED:20230816T040538Z
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SUMMARY:Applied Math Seminar:  Linh Huynh (University of Utah)
DESCRIPTION:Title:Inferring birth and death rates from population size time series data   \nAbstract:\nModels of population dynamics are usually formulated and analyzed with net growth rates. However\, separately identifying birth and death rates is significant in various biological applications such as disambiguating (1) exploitation vs. interference competition in ecology\, (2) bacteriostatic vs. bactericidal antibiotics in clinical treatments\, and (3) enhanced-fecundity vs. reduced-mortality mechanisms in drug resistance. In each of these three contexts\, the mechanisms are different\, but could be manifest in the same mean-field population size. \nIn this talk\, I will discuss a nonparametric method that utilizes stochastic fluctuations to extract birth and death rates from population size time series data. I will demonstrate the method on logistic growth to study density dependence\, but the method can be applied to general birth-death processes and does not require a priori assumptions on the rates. I will also discuss how to implement the theory on sample data and our estimation error analysis. This is based on published work joint with Peter Thomas (Case Western Reserve University) and Jacob Scott (Cleveland Clinic) and can be found here: Inferring density-dependent population dynamics mechanisms through rate disambiguation for logistic birth-death processes.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-linh-huynh-university-of-utah/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20230328T121500
DTEND;TZID=America/Los_Angeles:20230328T131000
DTSTAMP:20260404T162942
CREATED:20230124T212708Z
LAST-MODIFIED:20230320T225330Z
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SUMMARY:The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong\, UC Irvine)
DESCRIPTION:Given a prime p\, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0\,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p\, this lets us compute the asymptotic distribution of the Smith normal form of P(X(n)). In fact\, we shall consider the same problem with a more general random matrix X(n)\, which also includes the example of a Haar-random matrix. Our work crucially uses a recent work of W. Sawin and M. M. Wood which shows that the moments of finite size modules over any ring determine their distribution.\n\nThis is joint work with Myungjun Yu. https://arxiv.org/abs/2303.09125
URL:https://colleges.claremont.edu/ccms/event/antc-talk-gilyoung-cheong-uci/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20230329T161500
DTEND;TZID=America/Los_Angeles:20230329T173000
DTSTAMP:20260404T162942
CREATED:20230122T184003Z
LAST-MODIFIED:20230328T003844Z
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SUMMARY:Reading Topology from Open Books (Prof. Bahar Acu\, Pitzer College)
DESCRIPTION:Title: Reading Topology from Open Books \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: How can we study topological shapes that are outside the realm of our imagination? In this talk\, we will explore potential answers to that question by diving deep into dimensionality and topology via open books.  Topology is the study of properties of shapes that do not fundamentally change when they are bent and/or stretched without poking holes or ripping apart. At this point\, you must have heard that to a topologist\, a donut and a coffee cup (with a handle) are the same thing since one can be deformed into the other continuously\, i.e. only via bending and/or stretching. A very useful strategy in studying topological objects (in our case\, manifolds) is to factor them into smaller pieces. An open book decomposition of an n-dimensional manifold (the open book) is a special function that helps us study our object in terms of its (n-1)-dimensional fibers (the pages) and (n-2)-dimensional boundary of these fibers (the binding). This topological tool provides a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as contact structures. For example\, every (contact) 3-dimensional manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about these objects in greater detail with examples. \n\n\n\n\n\nDr. Bahar Acu is an Assistant Professor of Mathematics at Pitzer College. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. Dr. Acu is the co-founder and lead-organizer of the inaugural international research collaboration conference for women and nonbinary mathematicians in the field of symplectic and contact geometry and topology. The peer-reviewed volume of this conference Research Directions in Symplectic and Contact Geometry and Topology\, lead-edited by Dr. Acu\, was recently published as a part of Springer’s Association for Women in Mathematics Series.
URL:https://colleges.claremont.edu/ccms/event/prof-bahar-acu/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
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