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DTSTART;TZID=America/Los_Angeles:20221031T161500
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DTSTAMP:20260614T161500
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SUMMARY:Applied Math Seminar: Anna Nelson (Duke)
DESCRIPTION:Title: Mathematical modeling of polymerization processes in physiology\n\nAbstract: Polymerization\, or aggregation\, is essential for many physiological systems. For example\, the emergence of a fibrin polymer mesh during the formation of a blood clot is required for a stable clot and long-term\, sustained intracellular transport in neurons rely on persistent yet dynamic polymers that comprise the microtubule cytoskeleton. In the first part of the talk\, I will discuss a kinetic polymerization model that represents the formation of a fibrin polymer mesh with interactions with its precursor molecule\, fibrinogen. With this model\, we investigate how fibrin-fibrinogen interactions can impact gel structure (such as concentration of branch points) and gel time. In the second part\, I will introduce a stochastic mathematical model of individual microtubule growth and catastrophe in the dendrite of a neuron. Using parameters informed by experimental data\, we explore what mechanisms could control the equilibrium microtubule length and validate these mechanisms using fluorescence microscopy data.  \n\n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-anna-nelson-duke/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20221101T121500
DTEND;TZID=America/Los_Angeles:20221101T131000
DTSTAMP:20260614T161500
CREATED:20220906T211012Z
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SUMMARY:A tale of two worlds: parking functions &  reduction algebras (Dwight Anderson Williams II\, Pomona)
DESCRIPTION:“A Tale of Two Cities” is a novel told in three books/parts. Here we describe three projects related both to published work and ongoing pieces: \nPROJECT 1: In the world of combinatorics\, parking functions are combinatorial objects arising from the situation of parking cars under a parking strategy. In this part of the talk\, we will refresh the notion of classical parking functions given by the classical parking rules/strategy. We will then state an interesting correspondence between certain classical parking functions and so-called ideal states of the famous Tower of Hanoi game. This work is to appear in The American Mathematical Monthly with the following co-authors: Y. Aguillon\, D. Alvarenga\, P.E. Harris\, S. Kotapati\, J.C. Martinez Mori\, C. Monroe\, Z. Saylor\, and C. Tieu. \nPROJECT 2: In the world of algebra\, we shed light on representation theory of Lie superalgebras by constructing reduction algebras. These algebras provide structures to study in their own right\, and we give an example in presenting the diagonal reduction algebra of $osp(1|2)$\, first described in a joint paper with Jonas T. Hartwig. \nPROJECT 3: Continuing down an algebraic pathway\, we summarize the general framework given by Zhelobenko to apply representation theory of reduction algebras as a method to solve equations. Fixing equations important to the study of physics has led to recent work with Jonas T. Hartwig and Erin Dolecheck\, as well\, Irmak Bukey.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-dwight-anderson-williams-ii-pomona/
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:20221102T161500
DTEND;TZID=America/Los_Angeles:20221102T173000
DTSTAMP:20260614T161500
CREATED:20220912T190050Z
LAST-MODIFIED:20221021T160045Z
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SUMMARY:Prof. Josiah Park
DESCRIPTION:Title: Packing lines\, minimizing energy\, and applications to communications \nSpeaker: Josiah Park\, Department of Mathematics\, Texas A&M University \nAbstract: Structured geometric point sets play important roles in coding theory\, mathematical biology\, computational chemistry\, wireless communications\, compressed sensing\, and ‘big data’ applications due to their often desirable statistical properties for measurement and transmission. Best packings of lines (known as Grassmannian packings) have desirable properties for Multiple-Input Multiple-Output (MIMO) wireless transmission and specific instances of these minimal coherence systems\, like equiangular tight frames have a number of interesting mathematical properties. I’ll describe in this talk some research which investigates numerical phenomena related to the point sets\, detailing several results on continuous ‘probabilistic’ energies. In addition I’ll talk about some experiments using parallelized computation and optimization methods like trust-region conjugate gradient to numerically generate good packings. Parts of the talk are represented by collaborations with D. Bilyk\, A. Glazyrin\, R. Matzke\, C. Saltijeral\, O. Vlasiuk\, and M. Zhong. \n\n\n\n\n\nJosiah Park\, Ph. D. is a Visiting Assistant Professor and NSF TRIPODS postdoctoral fellow at Texas A&M University working on the “Neural Network Approximation” project within the Center for Approximation and Mathematical Data Analytics. Josiah is currently a core member at UCLA for the IPAM program on computational microscopy. Previously\, he received his doctorate in mathematics at the Georgia Institute of Technology in 2020 under supervision of Professors Christopher Heil and Michael Lacey.
URL:https://colleges.claremont.edu/ccms/event/prof-josiah-park/
LOCATION:Humanities Auditorium\, Scripps College\, and Zoom\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.1035221214;-117.709766675
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DTSTART;TZID=America/Los_Angeles:20221105T100000
DTEND;TZID=America/Los_Angeles:20221105T120000
DTSTAMP:20260614T161500
CREATED:20221027T165011Z
LAST-MODIFIED:20221027T165241Z
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SUMMARY:GEMS November 5th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-november-5th-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
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