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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:20230201T161500
DTEND;TZID=America/Los_Angeles:20230201T173000
DTSTAMP:20260511T140202
CREATED:20230122T175931Z
LAST-MODIFIED:20230131T145826Z
UID:3037-1675268100-1675272600@colleges.claremont.edu
SUMMARY:Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (Prof. Joan Ponce\, Arizona State University)
DESCRIPTION:Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City\n\n\n\nSpeaker: Joan Ponce\, Department of Mathematics\, Arizona State University\n\nAbstract: Epidemiological models can provide the dynamic evolution of a pandemic but they are based on many assumptions and parameters that have to be adjusted over the time the pandemic lasts. However\, often the available data are not sufficient to identify the model parameters and hence infer the unobserved dynamics. We develop a general framework for building a trustworthy data-driven epidemiological model\, consisting of a workflow that integrates data acquisition and event timeline\, model development\, identifiability analysis\, sensitivity analysis\, model calibration\, model robustness analysis\, and projection with uncertainties in different scenarios.  In particular\, we apply this framework to propose a modified susceptible–exposed–infectious–recovered (SEIR) model\, including new compartments and model vaccination in order to project the transmission dynamics of COVID-19 in New York City (NYC). We find that we can uniquely estimate the model parameters and accurately project the daily new infection cases\, hospitalizations\, and deaths\, in agreement with the available data from NYC’s government’s website. In addition\, we employ the calibrated data-driven model to study the effects of vaccination and timing of reopening indoor dining in NYC.
URL:https://colleges.claremont.edu/ccms/event/prof-joan-ponce/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230204T100000
DTEND;TZID=America/Los_Angeles:20230204T120000
DTSTAMP:20260511T140202
CREATED:20230123T180832Z
LAST-MODIFIED:20230124T025718Z
UID:3050-1675504800-1675512000@colleges.claremont.edu
SUMMARY:GEMS February 4th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-february-4th-session/
LOCATION:Harvey Mudd College at the Shanahan Teaching and Learning Center\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230207T121500
DTEND;TZID=America/Los_Angeles:20230207T131000
DTSTAMP:20260511T140202
CREATED:20230202T190817Z
LAST-MODIFIED:20230202T190817Z
UID:3066-1675772100-1675775400@colleges.claremont.edu
SUMMARY:Orthogonality defect and coherence of cyclotomic lattices (Lenny Fukshansky\, CMC)
DESCRIPTION:There are two different measures of how far a given Euclidean lattice is from being orthogonal — the orthogonality defect and the average coherence. The first of these comes from the study of sphere packing while the second is motivated by frame theory\, but both of them have applications in digital communications\, especially in coding theory and cryptography. It is interesting to understand how the two are related. We investigate this question on an important class of cyclotomic lattices\, where some nice formulas can be derived and certain empirical observations can be made. Joint work with David Kogan.
URL:https://colleges.claremont.edu/ccms/event/orthogonality-defect-and-coherence-of-cyclotomic-lattices-lenny-fukshansky-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230208T161500
DTEND;TZID=America/Los_Angeles:20230208T173000
DTSTAMP:20260511T140202
CREATED:20230122T180304Z
LAST-MODIFIED:20230206T231015Z
UID:3038-1675872900-1675877400@colleges.claremont.edu
SUMMARY:The mathematics of neural networks: recent advances\, thoughts\, and the path forward (Prof. Mikhail Belkin\, UCSD)
DESCRIPTION:Title: The mathematics of neural networks: recent advances\, thoughts\, and the path forward \nSpeaker: Prof. Mikhail Belkin\, Department of Mathematics\, University of California San Diego \nAbstract: The recent remarkable practical achievements of neural networks have far outpaced our theoretical understanding of their properties. Yet\, it is hard to imagine that progress can continue indefinitely\, without deeper understanding of their fundamental principles and limitations. In this talk I will discuss some recent advances in the mathematics of neural networks and outline what\, in my opinion\, are some promising directions for future research. \n\n\n\n\n\nMikhail Belkin received his Ph.D. in 2003 from the Department of Mathematics at the University of Chicago. His research interests are in theory and  applications of machine learning and data analysis. Some of his well-known work includes widely used Laplacian Eigenmaps\, Graph Regularization and Manifold Regularization algorithms\, which brought ideas from classical differential geometry and spectral analysis to data science. His recent work has been concerned with understanding remarkable mathematical and statistical phenomena observed in deep learning. This empirical evidence necessitated revisiting some of the basic concepts in statistics and optimization.  One of his key recent findings is the “double descent” risk curve that extends the textbook U-shaped bias-variance trade-off curve beyond the point of interpolation. Mikhail Belkin has served on the editorial boards of the Journal of Machine Learning Research\, IEEE Pattern Analysis and Machine Intelligence and SIAM Journal on Mathematics of Data Science.
URL:https://colleges.claremont.edu/ccms/event/prof-mikhail-belkin/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230209T163000
DTEND;TZID=America/Los_Angeles:20230209T173000
DTSTAMP:20260511T140202
CREATED:20230208T193627Z
LAST-MODIFIED:20230213T200028Z
UID:3073-1675960200-1675963800@colleges.claremont.edu
SUMMARY:Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times (Qidi Peng\, Institute of Mathematical Sciences\, CGU)
DESCRIPTION:We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) to include both linear multifractional Brownian sheets and linear multifractional stable sheets. The purpose of the framework is to study the existence and joint continuity of the local times of LMSS\, and also the local Holder condition of the local times in the set variable. As the main results\, (1) we provide a sufficient and necessary condition for the existence of local times of LMSS; (2) we show a sufficient condition for the joint continuity of local times; and (3) we prove a sharp local Holder condition for the local times in the set variable. All these theorems improve significantly the existing results for the local times of multifractional Brownian sheets and linear multifractional stable sheets in the literature.
URL:https://colleges.claremont.edu/ccms/event/linear-multifractional-stable-sheets-in-the-broad-sense-existence-and-joint-continuity-of-local-times-qidi-peng-institute-of-mathematical-sciences-cgu/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230215T161500
DTEND;TZID=America/Los_Angeles:20230215T173000
DTSTAMP:20260511T140202
CREATED:20230122T180444Z
LAST-MODIFIED:20230209T173448Z
UID:3039-1676477700-1676482200@colleges.claremont.edu
SUMMARY:Quantum chromatic numbers of products of quantum graphs (Prof. Rolando De Santiago\, Purdue University)
DESCRIPTION:Title: Quantum chromatic numbers of products of quantum graphs \nSpeaker: Rolando De Santiago\, Department of Mathematics\, Purdue University \nAbstract: Quantum graphs are an operator space generalization of classical graphs that have emerged in different branches of mathematics including operator theory\, non-commutative topology and quantum information theory. We provide a brief introduction to quantum graphs and the quantum chromatic number of graphs. We define the lexicographic product of quantum graphs and investigate the quantum chromatic number of the resulting graph products. Additionally\, we discuss our work on developing the b-fold chromatic number for quantum graphs analogous to the classical case. \nThis is joint work with Meenakshi McNamara \n\n\n\n\n\nRolando is an assistant professor of mathematics in the Department of Mathematics at Purdue University. He considers himself a proud product of the LAUSD\, the community college\, and the Cal State systems which set him up to receive his Ph.D. in Mathematics from the University of Iowa in 2017. Afterward\, he went on to do a postdoc at UCLA where he was awarded the UC Presidential Postdoctoral Fellowship in 2018. His research in the structural aspects of group von Neumann algebras sits at the intersection of analysis\, geometric group theory\, representation theory\, and\, on very rare occasions\, quantum information theory.
URL:https://colleges.claremont.edu/ccms/event/prof-rolando-de-santiago/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230216T163000
DTEND;TZID=America/Los_Angeles:20230216T173000
DTSTAMP:20260511T140202
CREATED:20230208T194019Z
LAST-MODIFIED:20230208T194019Z
UID:3074-1676565000-1676568600@colleges.claremont.edu
SUMMARY:structural aspects of von Neumann algebras arising as graph products (Rolando de Santiago\, Purdue University)
DESCRIPTION:Graph products of groups were introduced in E. Green’s thesis in the 90’s as generalizations of Right-Angled Artin Groups. These have become objects of intense study due to their key roles in topology and group theory.  Recently\, Caspers and Fima introduced graph products of von Neumann algebras. Since their inception\, several structural aspects such as absence of Cartan subalgebras\, and classification of tensor products have been established for graph products arising from groups.  Here we describe new progress in this direction\, emphasizing characterization of diffuseness\, factoriality\, and if time\, strong 1-boundedness for graph products of a large class of von Neumann algebras. \nThis is joint work with Ian Charlesworth\, Srivatsav Kunnawalkam-Ellayavali\,  Ben Hayes\, David Jekel\, and Brent Nelson.
URL:https://colleges.claremont.edu/ccms/event/structural-aspects-of-von-neumann-algebras-arising-as-graph-products-rolando-de-santiago-purdue-university/
LOCATION:Roberts North 105\, CMC\, 320 E. 9th St.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Analysis Seminar
ORGANIZER;CN="Asuman Aksoy":MAILTO:asuman.aksoy@claremontmckenna.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230221T121500
DTEND;TZID=America/Los_Angeles:20230221T131000
DTSTAMP:20260511T140202
CREATED:20230201T215846Z
LAST-MODIFIED:20230215T012913Z
UID:3065-1676981700-1676985000@colleges.claremont.edu
SUMMARY:On zeros of multilinear polynomials (Max Forst\, CGU)
DESCRIPTION:Consider rational polynomials in multiple variables that are linear with respect to some of the variables. In this talk we discuss the problem of finding a zero of such polynomials that are bounded with respect to a height function. For a system of such polynomials satisfying certain technical conditions we prove the existence of a bounded height simultaneous zero. For a single such polynomial we prove the existence of a zero of bounded height lying outside of a prescribed algebraic set. Based on joint work with Lenny Fukshansky.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-max-forst-cgu-2/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230222T161500
DTEND;TZID=America/Los_Angeles:20230222T173000
DTSTAMP:20260511T140202
CREATED:20230122T180801Z
LAST-MODIFIED:20230213T202959Z
UID:3040-1677082500-1677087000@colleges.claremont.edu
SUMMARY:Mathematical model for HIV-1 infection with stem cell and immune-therapy (Prof. Noufe Aljahdaly\, King Abdulaziz University / CGU)
DESCRIPTION:Title: Mathematical model for HIV-1 infection with stem cell and immune-therapy \nSpeaker: Noufe Aljahdaly\, Department of Mathematics\, King Abdulaziz University / CGU \nAbstract: The AIDS is a chronic disease. Its most common treatment is the antiretroviral therapy (cART) and the virus can be more effected if the patients stop using cART. The other problem is that the CD8+ T cells might be exhausted by persistent immune activation by cART. The researchers still exert their high efforts to reach the cure of HIV infection. Actually\, there are two cases that have achieved a cure of HIV-1 by stem cell (SC) transplantation who are known as London patient and Berlin patient. In this work\, we introduced the mathematical model of HIV-1 infection with stem cell therapy. The model was studied theoretically and the numerical solution was obtained to understand the effect of SC therapy. Our results realized that the virus of HIV-1 patient remains undetectable in patient blood after SC transplantation for a period of time. Then\, the patient may experience rebound within short period. These results are aligned with two medical cases in the literature. To better understand how London and Berlin patient got a cure by SC therapy while other patients did not achieve the same result\, we improved the mathematical model by taking in account the immune system response. We found that the cure of HIV-1 can be achieved by increasing the immune system response during receiving the SC therapy. \n\n\n\n\n\nNoufe is an associate professor of mathematics in the Department of Mathematics at King Abdulaziz University\, Saudi Arabia. She received her master degree in Mathematics from Oregon state University in 2012 and received her Ph.D. in Mathematics from the University of Alabama in 2017. She is a visiting researcher in CGU since Aug. 2022. Her research in applied mathematics\, mathematical modeling\, fluid dynamic and mathematical computation.
URL:https://colleges.claremont.edu/ccms/event/prof-noufe-aljahdaly/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
GEO:34.0999157;-117.7142668
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Argue Auditorium Pomona College 610 N. College Ave. Claremont CA 91711 United States;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142668,34.0999157
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230227T161500
DTEND;TZID=America/Los_Angeles:20230227T171500
DTSTAMP:20260511T140202
CREATED:20221011T224115Z
LAST-MODIFIED:20230816T040643Z
UID:2958-1677514500-1677518100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Michael Perlmutter (UCLA)
DESCRIPTION:Title:Geometric Scattering on Measure Spaces \nAbstract:\nGeometric Deep Learning is an emerging field of research that aims to extend the success of convolutional neural networks (CNNs) to data with non-Euclidean geometric structure. Despitebeing in its relative infancy\, this field has already found great success in many applications such as recommender systems\, computer graphics\, and traffic navigation. In order to improve our understanding of the networks used in this new field\, several works have proposed novelversions of the scattering transform\, a wavelet-based model of CNNs for graphs\, manifolds\,and more general measure spaces. In a similar spirit to the original Euclidean scattering transform\, these geometric scattering transforms provide a mathematically rigorous framework for understanding the stability and invariance of the networks used in geometric deep learning.Additionally\, they also have many interesting applications such as drug discovery\, solving combinatorial optimization problems\, and predicting patient outcomes from single-cell data. In particular\, motivated by these applications to single-cell data\, I will also discuss recent work proposing a diffusion maps style algorithm with quantitative convergence guarantees for implementing the manifold scattering transform from finitely many samples of an unknown manifold.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-michael-perlmutter-ucla/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
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