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DTSTART;TZID=America/Los_Angeles:20251006T161500
DTEND;TZID=America/Los_Angeles:20251006T171500
DTSTAMP:20260408T055712
CREATED:20251006T190122Z
LAST-MODIFIED:20251006T190122Z
UID:3881-1759767300-1759770900@colleges.claremont.edu
SUMMARY:Modeling drug release for in vitro experiments (Minaya Villasana De Armas\, Universidad Simon Bolivar)
DESCRIPTION:Abstract: It is common to use adjuvants in immunotherapeutic regimens to strengthen the immune response. However\, multiple dosages are required making it inconvenient for the patient. Hydrogels have been proposed as a vehicle to administer adjuvant and antigen in a sustained slow release thus reducing the need for re-administration. \nIn this instance\, we use experimental data for stability studies on two different thermosensitive pentablock hydrogels as well as release of three adjuvants suspended in the hydrogels or in PLGA nanoparticles. The goal is to model this release and provide a framework by which these models can describe the various release profiles efficiently. \n 
URL:https://colleges.claremont.edu/ccms/event/modeling-drug-release-for-in-vitro-experiments-minaya-villasana-de-armas-universidad-simon-bolivar/
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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DTSTART;TZID=America/Los_Angeles:20251007T121500
DTEND;TZID=America/Los_Angeles:20251007T131000
DTSTAMP:20260408T055712
CREATED:20250828T190015Z
LAST-MODIFIED:20250927T183316Z
UID:3800-1759839300-1759842600@colleges.claremont.edu
SUMMARY:The integer point transform as a complete invariant (Sinai Robins\, University of São Paulo\, Brazil)
DESCRIPTION:Given any finite set of integer points S\, there is an associated function f_S that encodes S\, which we call its integer point transform.   One can think of this integer point transform f_S algebraically or analytically.  Here we focus on its analytic properties\, showing that it is a complete invariant.   In fact\, we prove that it is only necessary to evaluate f_S at one algebraic point in order to uniquely determine the finite set S\, by employing the Lindemann-Weierstrass theorem.    Similarly\, we prove that it’s only necessary to evaluate the Fourier transform of a rational polytope P (as well as rational cones) at a single algebraic point\, in order to uniquely determine S.   Finally\, by relating the integer point transform to finite Fourier transforms\, we show that a finite number of integer point evaluations of f_S suffice in order to uniquely determine S.  
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sinai-robins-university-of-sao-paulo-brazil/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20251010T110000
DTEND;TZID=America/Los_Angeles:20251010T121500
DTSTAMP:20260408T055712
CREATED:20250923T140917Z
LAST-MODIFIED:20251008T232409Z
UID:3860-1760094000-1760098500@colleges.claremont.edu
SUMMARY:CCMS Colloquium: Sinai Robins (University of São Paulo - Brazil)
DESCRIPTION:CCMS Colloquium invites you to a talk by Sinai Robins (University of São Paulo – Brazil)\n\n \nTitle: An introduction to the geometry of numbers through the lens of analysis\n \n\nAbstract: We introduce the geometry of numbers\, beginning from the first principles\, and proceeding to modern research topics in the field. Our point of view includes Fourier analysis on compact sets and in particular on convex bodies. We give some recent extensions of previous results by C. L. Siegel\, and E. Bombieri\, both of whom extended Minkowski’s first theorem for convex\, centrally symmetric bodies. \nA discrete version of these results allows us to give some new formulations for finite sums of discrete covariograms\, for any finite set of integer points in Euclidean space. We’ll give visual examples\, with pictures\, of everything in dimension 2. On the other hand\, a continuous application of these results allows us to shed additional light on the enumeration of lattice points in polytopes in R^d\, and in particular some Ehrhart-type theory. This is joint work with Michel Faleiros. \n\n \nBio: Professor Sinai Robins completed his Ph.D. in Number Theory at UCLA. He has held tenured positions at Temple University and Nanyang Technological University and is currently a full professor at the University of São Paulo\, Brasil. Professor Robins enjoys tackling problems in Discrete Geometry\, Fourier Analysis\, Number Theory\, Combinatorial Optimization\, and Data Science. Some of his recent research is reflected in his new 2024 book\, called Fourier analysis on polytopes and the geometry of numbers: Part I\, a gentle introduction. This book offers a unique\, modern\, Fourier-analytic perspective on the geometry of numbers. It explores the relationship between geometric properties of a polytope and its Fourier transform\, provides new streamlined proofs of fundamental results\, and invites undergraduates to explore these important ideas.
URL:https://colleges.claremont.edu/ccms/event/ccms-colloquium-sinai-robins-university-of-sao-paulo-brazil/
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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