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DTSTART;TZID=America/Los_Angeles:20230410T161500
DTEND;TZID=America/Los_Angeles:20230410T171500
DTSTAMP:20260413T000237
CREATED:20230131T010146Z
LAST-MODIFIED:20230816T023147Z
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SUMMARY:Applied Math Seminar: Johannes Brust (UCSD)
DESCRIPTION:Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) \nAbstract:\nIteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems\, but even the smaller systems can be costly. We develop a method in which one column is added to the sketching matrix each iteration. By choosing the sequence of all previous residuals for a sketch\, we derive an iterative process with orthogonal residuals that leads to a simple recursive update to approximate the solution. In exact arithmetic\, our method (PLSS) converges in at most \(n\) iterations\, where \(n\) is the column rank of matrix \(A\). In experiments on large sparse systems\, PLSS compares favorably with deterministic and state-of-the-art randomized methods.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-johannes-brust-ucsd/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230411T121500
DTEND;TZID=America/Los_Angeles:20230411T131000
DTSTAMP:20260413T000237
CREATED:20230201T212937Z
LAST-MODIFIED:20230405T034512Z
UID:3063-1681215300-1681218600@colleges.claremont.edu
SUMMARY:Discrete Calculus through generating functions (Wai Yan Pong\, Cal State Dominguez Hills)
DESCRIPTION:Discrete Calculus studies discrete structures\, such as sequences and graphs\, using techniques similar to those used in Calculus for continuous functions. The basic idea of generating functions is to associate a function with a sequence so that the coefficients of the power series expansion of the function represent the terms of the sequence. They provide a systematic way to encode information about a sequence or a combinatorial structure in a single function\, which can then be manipulated algebraically to obtain various types of results. In this talk\, we will examine a few well-known results about binomial coefficients\, Stirling numbers and Bernoulli numbers using both Discrete Calculus and generating functions as well as the interaction between them.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-wai-yan-pong-cal-state-dominguez-hills/
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:20230412T161500
DTEND;TZID=America/Los_Angeles:20230412T173000
DTSTAMP:20260413T000237
CREATED:20230122T184442Z
LAST-MODIFIED:20230407T160958Z
UID:3046-1681316100-1681320600@colleges.claremont.edu
SUMMARY:Sequential: A Meditation on Recurrence (Prof. Ghassan Sarkis\, Pomona College)
DESCRIPTION:Title: Sequential: A Meditation on Recurrence \nSpeaker: Ghassan Sarkis\, Department of Mathematics\, Pomona College \nAbstract: Though I will share some adventures in sequence-generating neural networks just for fun\, the majority of this talk will be concerned with Fibonacci sequences modulo $p$ and $p^2$ from data-inflected and number-theoretic perspectives\, including questions about periods of the modular sequence (how long before it repeats itself?) and associated frequencies (how many of each residue is there?) also just for fun. Most of the presentation should be understandable to math students with exposure to linear algebra and modular arithmetic\, and will include some suggested paths they may want to pursue in their own research as well. \n\n\n\n\n\nGhassan Sarkis is an Associate Professor of Mathematics & Statistics at Pomona College to his great surprise. His training is in number theory\, though he enjoys dabbling in combinatorics\, data science\, and some other puzzles that cross his path. He is very excited to discover what happens next.
URL:https://colleges.claremont.edu/ccms/event/prof-ghassan-sarkis/
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:20230415T100000
DTEND;TZID=America/Los_Angeles:20230415T120000
DTSTAMP:20260413T000237
CREATED:20230319T224042Z
LAST-MODIFIED:20230319T224042Z
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SUMMARY:GEMS April 15th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-april-15th-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:20230417T161500
DTEND;TZID=America/Los_Angeles:20230417T171500
DTSTAMP:20260413T000237
CREATED:20221207T193543Z
LAST-MODIFIED:20230816T023354Z
UID:3015-1681748100-1681751700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Emily de Jong (Caltech)
DESCRIPTION:Title: Modeling size distributions and collisions in cloud microphysics \nAbstract:\nFeedbacks between a warming atmosphere\, emission of aerosols\, and clouds and precipitation are one of the most difficult aspects for climate models to accurately capture. While these models operate at resolutions of tens or hundreds of kilometers\, many of the physics that determine how and where clouds form or precipitate function at the micron droplet scale. This separation of scales means that most of these “microphysics” must be modeled with only a few approximate quantities and physical equations. These simplifications lead to large uncertainties about the future climate\, such as the sensitivity of global warming to human-emitted aerosols.   \nThis talk presents two promising techniques for mathematically representing droplet size distributions and the microphysics that govern how droplets within the distribution evolve. The first method attempts to span a gap in complexity between a simple method of moments and expensive “bin” or spectral representations by collocating smooth basis functions over the droplet size domain. With intelligently selected basis functions\, this approach can represent the process of cloud droplets coalescing to form rain with bin-like accuracy\, but with a degree of complexity that is attainable for global simulations. Next\, we present a high-complexity high-fidelity Lagrangian approach known as the superdroplet method. This approach shows promise as a research tool to verify and train future microphysics models\, but it is currently incomplete in its purview of droplet physics. We describe a probabilistic approach to representing collisional breakup\, an often-overlooked process that can impact precipitation rates\, cloud lifetime\, and aerosol processing.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-emily-de-jong-caltech/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230418T121500
DTEND;TZID=America/Los_Angeles:20230418T131000
DTSTAMP:20260413T000237
CREATED:20230211T054504Z
LAST-MODIFIED:20230411T184945Z
UID:3078-1681820100-1681823400@colleges.claremont.edu
SUMMARY:Systems of homogeneous polynomials over finite fields with maximum number of common zeros (Sudhir Ghorpade\, IIT Bombay)
DESCRIPTION:It is elementary and well known that a nonzero polynomial in one variable of degree d with coefficients in a field F has at most d zeros in F. It is meaningful to ask similar questions for systems of several polynomials in several variables of a fixed degree\, provided the base field F is finite. These questions become particularly interesting and challenging when one restricts to polynomials that are homogeneous\, and considers zeros (other than the origin) that are non-proportional to each other. More precisely\, we consider the following question: \nGiven a system of a fixed number of linearly independent homogeneous polynomial equations of a fixed degree with coefficients in a fixed finite field F\, what is the maximum number of common zeros they can have in the corresponding protective space over F?The case of a single homogeneous polynomial (or in geometric terms\, a projective hypersurface) corresponds to a classical inequality proved by Serre in 1989. For the general case\, an elaborate conjecture was made by Tsfasman and Boguslavsky\, which was open for almost two decades. Recently significant progress in this direction has been made\, and it is shown that while the Tsfasman-Boguslavsky Conjecture is true in certain cases\, it can be false in general. Some new conjectures have also been proposed. We will give a motivated outline of these developments. If there is time and interest\, connections to coding theory or to the problem of counting points of sections of Veronese varieties by linear subvarieties of a fixed dimension will also be outlined. \nThis talk is mainly based on joint works with Mrinmoy Datta and with Peter Beelen and Mrinmoy Datta.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sudhir-ghorpade-iit-bombay/
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:20230419T161500
DTEND;TZID=America/Los_Angeles:20230419T173000
DTSTAMP:20260413T000237
CREATED:20230122T184542Z
LAST-MODIFIED:20230414T152218Z
UID:3047-1681920900-1681925400@colleges.claremont.edu
SUMMARY:A Brief History of Calculating Machines (Prof. Yousef Daneshbod\, University of La Verne)
DESCRIPTION:Title: A Brief History of Calculating Machines \nSpeaker: Yousef Daneshbod\, Department of Mathematics\, University of La Verne \nAbstract: Calculating machines are digital or analog devices designed to perform mathematical calculations. These machines have a long history\, with the earliest known examples dating back to ancient times\, when people used sticks and stones for counting. However\, the first mechanical calculators were invented in early modern period thanks to the theoretical development of mathematics and the growing need for more sophisticated computations. Today\, calculating machines are all around us; changing the way we live our lives. In this talk\, I will explain the evolution of early calculating machines and the key people involved with its development. \n\n\n\n\n\nDr. Yousef Daneshbod\, Associate Professor of Mathematics has been teaching at the University of La Verne since 2007. Prior to joining La Verne\, he was a Lecturer in Mathematics at Calpoly Pomona and an Adjunct Professor at Citrus College. Dr. Daneshbod received his B.S. and M.S both in mechanical engineering from Shiraz University in Iran. In the year 2001 he abandoned his studies for a PhD in mechanical engineering just one year before completion and along with his wife immigrated to the U.S. His love for mathematics motivated him to pursue a PhD degree in applied mathematics from the Claremont Graduate University\, eventually graduating in the summer of 2006. Dr. Daneshbod believes that the combination of clear classroom notes along with symbolic computer software can serve as an excellent pedagogical tool for making mathematics much more fun and intuitive for the students. His primary fields of interest include mathematical modeling in microfluidics\, theoretical and computational mechanics and wave propagation in anisotropic media. He is also interested in mathematics education in a liberal arts setting where he tries to inspire his students by exposing them to historical sketches of famous scientists and mathematicians.
URL:https://colleges.claremont.edu/ccms/event/prof-yousef-daneshbod/
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:20230425T121500
DTEND;TZID=America/Los_Angeles:20230425T131000
DTSTAMP:20260413T000237
CREATED:20230116T180753Z
LAST-MODIFIED:20230417T230547Z
UID:3027-1682424900-1682428200@colleges.claremont.edu
SUMMARY:Bias in cubic Gauss sums: Patterson's conjecture (Alex Dunn\, CalTech)
DESCRIPTION:We prove\, in this joint work with Maksym Radziwill\, a 1978 conjecture of S. Patterson (conditional on the Generalized Riemann Hypothesis) concerning the bias of cubic Gauss sums. This explains a well-known numerical bias in the distribution of cubic Gauss sums first observed by Kummer in 1846. One important byproduct of our proof is that we show Heath-Brown’s cubic large sieve is sharp under GRH.  This disproves the popular belief that the cubic large sieve can be improved. An important ingredient in our proof is a dispersion estimate for cubic Gauss sums. It can be interpreted as a cubic large sieve with correction by a non-trivial asymptotic main term.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-alex-dunn-caltech/
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:20230426T161500
DTEND;TZID=America/Los_Angeles:20230426T173000
DTSTAMP:20260413T000237
CREATED:20230122T184652Z
LAST-MODIFIED:20230426T221436Z
UID:3048-1682525700-1682530200@colleges.claremont.edu
SUMMARY:Career Pathways in the Mathematical Sciences (ONLINE)
DESCRIPTION:In this panel we will have people from diverse backgrounds talking about their career pathways. \nThe event will be fully online in the following link: \nhttps://cgu.zoom.us/j/89142368885?pwd=YkhkV24zbUZRV0p2d2xEelZtUmFmdz09Meeting ID: 891 4236 8885Passcode: 314159 \nWe will have panelist’s introductions at the beginning\, and then the remaining time in breakout rooms so that our students and faculty can ask more informal questions. The breakout rooms will be divided in the following sessions: (1) those who completed a bachelor’s degree then went into industry\, (2) those who completed a master’s degree then went into industry\, (3) those who completed a PhD then went into industry\, and (4) those who completed a PhD then went into academia. \nThis event welcomes undergraduate and graduate students. \n  \nPanelists: \nSession 1 \n\nAfter graduating from Pomone College\, Yu Xuan started her career at Goldman Sachs\, where she worked as a quantitative strategist for electronic trading. She then joined Gro Intelligence\, Inc.\, a startup that builds predictive models using climate and agricultural data\, where she was a data scientist. She is now an engineer at Uber\, working on developing machine learning models to optimize Uber’s incentive budget allocation. She also has experience as a technical interviewer\, having conducted over 300 coding interviews for software engineer candidates.\n\nSession 2 \n\nDonald “DJ” Berry graduated from Claremont Graduate University in 2022 with an M.S. in Mathematics and an M.S. in Information Systems and Technology – Data Science and Analytics. He is currently a Research Engineer with the USC affiliated Information Sciences Institute where he works in the AI Division. While his main research interest is in the use of AI to improve how we diagnose and treat disease\, his work lately has focused on using AI to study the flow of information in online social networks. He is also currently collaborating with researchers at CGU and Los Alamos National Laboratory on multi-fidelity machine learning techniques. Prior to graduate school\, DJ worked as a Product Engineer at Esri where he helped build data analysis and visualization tools.\nMadeline Brown: I am working as a data scientist and software engineer in ocean conservation. I enjoy my work because I can apply mathematical research to humanitarian problems.I actively became involved in research during my time in college. I graduated from Claremont Graduate University with a Master of Science in Mathematics in May 2022. In May 2021\, I graduated from Scripps College with a Bachelor of Arts in Mathematics and a Minor in Chinese. As an undergraduate\, I presented mathematical research at nine conferences\, including the Joint Mathematics Meetings (JMM). I participated in Research Experience for Undergraduates (REU) for two summers and was a student researcher at Oak Ridge National Laboratory through the Science Undergraduate Laboratory Internship (SULI).\n\nSession 3 \n\nAn Do Dela‘s research focuses on developing pediatrics sub-models at DILIsym. She is also involved in various proprietary projects to develop and apply quantitative systems pharmacology (QSP) models within Simulations Plus. Prior to DILIsym services\, Dr. Dela received her bachelor’s degree in Pure mathematics at California State Polytechnic\, Pomona\, CA. She later earned a Ph.D. in Mathematics from Claremont Graduate University\, CA under the supervision of Dr. Shtylla and Dr. De Pillis. Her graduate work focuses on applying mathematical models using ordinary differential equations and partial differential equations. She is also particularly interested in utilizing the usage of various parameter sensitivity techniques\, nonlinear mixed-effects modeling\, and parametrization techniques to leverage the modeling process to effectively solve important problems within the pharmaceutical industry.\n\nSession 4 \n\n\nDwight Anderson Williams II is a son of Saint Paul\, Minnesota\, who has moved between the shining seas. He studied mathematics at Florida A&M University (BS)\, The Florida State University (MS)\, and The University of Texas at Arlington (PhD). After holding a postdoc position at Iowa State University\, he is now a visiting assistant professor at Pomona College. The Williams Family is\nsoon on its way to Baltimore\, Maryland\, where Dwight will start as an incoming (Fall 2023) tenure-track assistant professor of mathematics at Morgan State University\, a PhD-granting HBCU.\n\nMy name is Casey Johnson. I graduated from Claremont Graduate University (CGU) in Fall 2020. Currently I am a Visiting Adjunct Professor (postdoc) at UCLA studying Opinion Dynamics and Particle Laden Flow and teaching upper division courses. While a student at CGU\, I held part time positions teaching at East Los Angeles College\, Citrus College\, Chaffey College\, and Whittier College. Before completing my PhD\, I was hired by Whittier College for a full-time teaching position from 2018-2022.\nChristina Durón (she/her) is an Assistant Professor of Mathematics in the Natural Science Division of Seaver College at Pepperdine University. Prior to joining Pepperdine\, she was a postdoctoral research associate in the Department of Mathematics at the University of Arizona for three years. She received her PhD in Mathematics at Claremont Graduate University in May 2019 under the supervision of Professor Ami Radunskaya and Professor Jo Hardin from Pomona College. Her research is in network analysis and network theory. With an application-driven perspective\, she develops computational techniques to model\, analyze\, and explore relational data from a variety of fields (e.g.\, biological\, social\, transportation).\n\n 
URL:https://colleges.claremont.edu/ccms/event/career-planning/
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:20230502T121500
DTEND;TZID=America/Los_Angeles:20230502T131000
DTSTAMP:20260413T000237
CREATED:20230125T224231Z
LAST-MODIFIED:20230425T203617Z
UID:3055-1683029700-1683033000@colleges.claremont.edu
SUMMARY:Towers and elementary embeddings in total relatively hyperbolic groups (Christopher Perez\, Loyola University New Orleans)
DESCRIPTION:In a remarkable series of papers Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers\, and independently Olga Kharlampovich and Alexei Myasnikov did the same using equivalent structures they called regular NTQ groups. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group G\, then G is a tower over H. We prove a generalization of Perin’s result to toral relatively hyperbolic groups using JSJ and shortening techniques.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-christopher-perez-loyola-university-new-orleans/
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:20230905T121500
DTEND;TZID=America/Los_Angeles:20230905T130500
DTSTAMP:20260413T000237
CREATED:20230415T215315Z
LAST-MODIFIED:20230830T150027Z
UID:3129-1693916100-1693919100@colleges.claremont.edu
SUMMARY:Quantum money from Brandt operators (Shahed Sharif\, CSU San Marcos)
DESCRIPTION:Public key quantum money is a replacement for paper money which has cryptographic guarantees against counterfeiting. We propose a new idea for public key quantum money. In the abstract sense\, our bills are encoded as a joint eigenstate of a fixed system of commuting unitary operators. We show that the proposal is secure against black box attacks. In order to instantiate this protocol\, one needs to find a cryptographically complicated system of computable\, commuting\, unitary operators. To fill this need\, we propose using Brandt operators\, which have a beautiful tripartite formulation. No prior knowledge of quantum computers is necessary for this talk! This is joint work with Daniel Kane and Alice Silverberg.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-shahed-sharif-csu-san-marcos/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230906T161500
DTEND;TZID=America/Los_Angeles:20230906T173000
DTSTAMP:20260413T000237
CREATED:20230828T164137Z
LAST-MODIFIED:20230913T074549Z
UID:3151-1694016900-1694021400@colleges.claremont.edu
SUMMARY:CCMS Student Research Poster Session Fall 2023
DESCRIPTION:The Claremont Center for the Mathematical Sciences (CCMS) Math Colloquium series begins with a student research poster session\, showcasing the mathematical work of all students at the Claremont Colleges. Please join us on Wednesday\, September 6th\, in the Estella Courtyard at Pomona College to see the wealth of research projects that Claremont math students have been involved in. \nTitles & Speakers: \nDegenerate PDE model of epidemic spread dynamicsBelgacem Al-AzemContractivity of Quantum Channels with respect to Quantum State Induced NormsEsteban Ayala\, Evelyne Knight\, and Chloe MarpleOn the t-elasticity of numerical semigroupsKarina BeheraRandom Sampling from Defect-d Preference ListsJasper BownElliptic Curves: Minimal Discriminants and Additive ReductionLouis BurnsApplications of Math Modeling in Microscale BiologyWilliam CeelyThe Chromatic Number of the PlaneJonathan Cervantes\, Timothy Harris\, Enayat Khoueinia\, Michael Krebs\, Katherine Ortiz\, Luis Ruiz\, and Claudia Maria SchmidtAnalyzing Data Science Ethics Pedagogies and CurriculaSara ColandoHarnessing Uncertainty through FDA in Breakthrough DataLuisa Gianuca and Tianmin KongCandy Crush Combinatorics in 2xn and 3xn gridsNitipon MoonwichitMachine Learning Hyperparameter Optimization with Genetic AlgorithmsRylie Weaver
URL:https://colleges.claremont.edu/ccms/event/ccms-student-research-poster-session-fall-2023/
LOCATION:Estella Courtyard\, 610 N College Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230912T121500
DTEND;TZID=America/Los_Angeles:20230912T131000
DTSTAMP:20260413T000237
CREATED:20230824T161426Z
LAST-MODIFIED:20230824T161426Z
UID:3146-1694520900-1694524200@colleges.claremont.edu
SUMMARY:Numerical semigroups\, minimal presentations\, and posets (Chris O'Neill\, SDSU)
DESCRIPTION:A numerical semigroup is a subset S of the natural numbers that is closed under addition.  One of the primary attributes of interest in commutative algebra are the relations (or trades) between the generators of S; any particular choice of minimal trades is called a minimal presentation of S (this is equivalent to choosing a minimal binomial generating set for the defining toric ideal of S).  In this talk\, we present a method of constructing a minimal presentation of S from a portion of its divisibility poset.  Time permitting\, we will explore connections to polyhedral geometry.\n\nNo familiarity with numerical semigroups or toric ideals will be assumed for this talk.
URL:https://colleges.claremont.edu/ccms/event/numerical-semigroups-minimal-presentations-and-posets-chris-oneill-sdsu/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230912T150000
DTEND;TZID=America/Los_Angeles:20230912T160000
DTSTAMP:20260413T000237
CREATED:20230913T073733Z
LAST-MODIFIED:20231006T053002Z
UID:3222-1694530800-1694534400@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Robert Bowden (HMC)
DESCRIPTION:Title: Chebyshev Threadings in Skein Algebras for Punctured Surfaces \nAbstract: Skein algebras are algebras of links in a surface quotiented by diagram-based equivalence relations based on the Kauffman bracket. In the case of surfaces with punctures\, the skein algebra is generated by links as well as arcs between the punctures\, and there are additional skein relations for the arcs. We examine the algebraic structure of the punctured case\, finding a description of the central elements at certain roots of unity. Our construction is closely related to the one for the usual skein algebra\, where central elements come from threading links by Chebyshev polynomials.
URL:https://colleges.claremont.edu/ccms/event/chebyshev-threadings-in-skein-algebras-for-punctured-surfaces-robert-bowden-hmc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230913T161500
DTEND;TZID=America/Los_Angeles:20230913T173000
DTSTAMP:20260413T000237
CREATED:20230829T200424Z
LAST-MODIFIED:20230829T200724Z
UID:3160-1694621700-1694626200@colleges.claremont.edu
SUMMARY:Diving into Math with Emmy Noether
DESCRIPTION:Title: Diving into Math with Emmy Noether \nStarring: Anita Zieher; Director: Sandra Schueddekopf \nAbstract: A theatre performance by Portraittheater Vienna in co-operation with Freie Universität Berlin about the life of one of history’s most influential mathematicians. Based on historical documents and events\, the script was written by Sandra Schüddekopf and Anita Zieher in cooperation with the historians Mechthild Koreuber and David E. Rowe. Please join us on the Pitzer campus for this very special event with a reception to follow. \n(see link to poster) \n\n\n\n\n 
URL:https://colleges.claremont.edu/ccms/event/diving-into-math-with-emmy-noether/
LOCATION:Benson Auditorium\, 1050 N Mills Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium,Special Event
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230918T150000
DTEND;TZID=America/Los_Angeles:20230918T160000
DTSTAMP:20260413T000237
CREATED:20230913T032814Z
LAST-MODIFIED:20230914T153118Z
UID:3212-1695049200-1695052800@colleges.claremont.edu
SUMMARY:History and Philosophy of Mathematics Seminar: Amir Alexander (UCLA)
DESCRIPTION:“The Sceptical Mathematician: How John Wallis Saved Mathematics for the Royal Society.” \n  \nAbstract: \nThe members of the “Invisible College” and the early Royal Society championed an experimental approach to the study of nature as the proper path to the advancement of knowledge and the preservation of civic peace. Mathematics\, while admired\, was also viewed with suspicion\, as potentially dogmatic and coercive. John Wallis\, the leading mathematician in the group\, set out to reconcile his field with the ideals of the early Royal Society by developing a radical new approach. Whereas traditional mathematics prided itself on irrefutable deductive proofs\, Wallis’ approach relied on material intuition\, inductive reasoning\, and truth-claims founded on consensus\, not coercion. It was a new mathematics modeled on the Society’s experimental philosophy.
URL:https://colleges.claremont.edu/ccms/event/history-and-philosophy-of-mathematics-seminar-amir-alexander-ucla/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230918T161500
DTEND;TZID=America/Los_Angeles:20230918T171500
DTSTAMP:20260413T000237
CREATED:20230912T153609Z
LAST-MODIFIED:20230912T162421Z
UID:3198-1695053700-1695057300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Michael Murray (UCLA)
DESCRIPTION:Title: Towards Understanding the Success of First Order Methods in Training Mildly Overparameterized Networks \nAbstract: For most problems of interest the loss landscape of a neural network is non-convex and contains a plethora of spurious critical points. Despite this first order methods such as SGD and Adam are in practice remarkably successful at finding optimal\, or at the least near optimal\, minimizers of the loss. In recent years the Neural Tangent Kernel has proven a powerful tool in explaining this phenomena and for providing guarantees for highly overparameterized networks. However\, for mildly overparameterized networks (where width scales linearithmically in the sample size) where richer feature learning can occur an explanation is lacking. In this talk I will present recent results on the loss landscape of two-layer mildly overparameterized ReLU networks. Our approach involves bounding the dimension of the sets of local and global minima using the rank of the Jacobian of the parameterization map. Using results on random binary matrices\, we show most activation patterns correspond to parameter regions with no bad differentiable local minima. Furthermore\, for one-dimensional input data\, we show most activation regions realizable by the network contain a high dimensional set of global minima and no bad local minima. We experimentally confirm these results by finding a phase transition from most regions having full rank to many regions having deficient rank depending on the amount of overparameterization.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-michael-murray-ucla/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230919T121500
DTEND;TZID=America/Los_Angeles:20230919T131000
DTSTAMP:20260413T000237
CREATED:20230830T200520Z
LAST-MODIFIED:20230830T203839Z
UID:3165-1695125700-1695129000@colleges.claremont.edu
SUMMARY:Biquandle power brackets (Sam Nelson\, CMC)
DESCRIPTION:Biquandle brackets are skein invariants of biquandle-colored knots\, with skein coefficients that are functions of the colors at a crossing. Biquandle power brackets take this idea a step further with state component values that also depend on biquandle colors. This is joint work with Neslihan Gügümcü (IYTE).
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-sam-nelson-cmc-2/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230919T150000
DTEND;TZID=America/Los_Angeles:20230919T160000
DTSTAMP:20260413T000237
CREATED:20230915T191657Z
LAST-MODIFIED:20230918T204921Z
UID:3237-1695135600-1695139200@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230920T161500
DTEND;TZID=America/Los_Angeles:20230920T173000
DTSTAMP:20260413T000237
CREATED:20230911T162639Z
LAST-MODIFIED:20230913T074440Z
UID:3189-1695226500-1695231000@colleges.claremont.edu
SUMMARY:p-Norm Approval Voting (Professor Michael Orrison\, Harvey Mudd College)
DESCRIPTION:Title: p-Norm Approval Voting \nSpeaker: Michael Orrison\, Professor of Mathematics\, Harvey Mudd College \nAbstract: Approval voting is a relatively simple voting procedure: Given a set of candidates\, each voter chooses a subset of the candidates\, and the candidate chosen the most is then declared the winner. Interestingly\, approval voting can be viewed as an extreme end of a one-parameter family of voting procedures we are calling p-norm approval voting. In this talk\, I’ll explain how we were led to start studying p-norm approval voting\, and I’ll share some of the many properties we’ve discovered about it so far. This is joint work with Hari Nathan\, Katharine Shultis\, and Jessica Sorrells. \n\n\n\n\n\nMichael Orrison is a Professor of Mathematics at Harvey Mudd College. He received his A.B. from Wabash College in 1995\, and his Ph.D. from Dartmouth College in 2001. His teaching interests include linear algebra\, abstract algebra\, discrete mathematics\, and representation theory. His research interests include voting theory and harmonic analysis on finite groups. He particularly enjoys finding\, exploring\, and describing novel applications of the representation theory of finite groups with the help of his talented and energetic research students.
URL:https://colleges.claremont.edu/ccms/event/p-norm-approval-voting-professor-michael-orrison-harvey-mudd-college/
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:20230926T121500
DTEND;TZID=America/Los_Angeles:20230926T131000
DTSTAMP:20260413T000237
CREATED:20230828T163632Z
LAST-MODIFIED:20230828T211001Z
UID:3153-1695730500-1695733800@colleges.claremont.edu
SUMMARY:Chromatic numbers of abelian Cayley graphs (Michael Krebs\, Cal State LA)
DESCRIPTION:A classic problem in graph theory is to find the chromatic number of a given graph: that is\, to find the smallest number of colors needed to assign every vertex a color such that whenever two vertices are adjacent\, they receive different colors.  This problem has been studied for many families of graphs\, including cube-like graphs\, unit-distance graphs\, circulant graphs\, integer distance graphs\, Paley graphs\, unit-quadrance graphs\, etc.  All of those examples just listed can be regarded as “abelian Cayley graphs\,” that is\, Cayley graphs whose underlying group is abelian.  Our goal is to create a unified\, systematic approach for dealing with problems of this sort\, rather than attacking each individually with ad hoc methods.  Building upon the work of Heuberger\, we associate an integer matrix to each abelian Cayley graph.  In certain cases\, such as when the matrix is small enough\, we can more or less read the chromatic number directly from the entries of the matrix.  In this way we immediately recover both Payan’s theorem (that cubelike graphs cannot have chromatic number 4) as well as Zhu’s theorem (which determines the chromatic number of six-valent integer distance graphs).  The proofs utilize only elementary group theory\, elementary graph theory\, elementary number theory\, and elementary linear algebra.  This is joint work with J. Cervantes.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-michael-krebs-cal-state-la/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230926T150000
DTEND;TZID=America/Los_Angeles:20230926T160000
DTSTAMP:20260413T000237
CREATED:20230922T154321Z
LAST-MODIFIED:20230922T154321Z
UID:3251-1695740400-1695744000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Reginald Anderson (CMC)
DESCRIPTION:Title: Cellular resolutions of the diagonal and exceptional collections for toric Deligne-Mumford stacks (Continued) \nAbstract: Beilinson gave a resolution of the diagonal for complex projective space which yields a strong\, full exceptional collection of line bundles. Bayer-Popescu-Sturmfels generalized Beilinson’s result to a cellular resolution of the diagonal for what they called “unimodular” toric varieties (a more restrictive condition than being smooth)\, which can also be extended to smooth toric varieties and global quotient toric DM stacks of a smooth toric variety by a finite abelian group\, if we allow our resolution to have cokernel which is supported only along the vanishing of the irrelevant ideal. Here we show implications for exceptional collections of line bundles and a positive example for the modified King’s conjecture by giving a strong\, full exceptional collection of line bundles on a smooth\, non-unimodular nef-Fano complete toric surface.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-reginald-anderson-cmc-2/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230927T161500
DTEND;TZID=America/Los_Angeles:20230927T173000
DTSTAMP:20260413T000237
CREATED:20230912T031043Z
LAST-MODIFIED:20230927T011953Z
UID:3193-1695831300-1695835800@colleges.claremont.edu
SUMMARY:Building the Fan of a Toric Variety (Professor Reginald Anderson\, Claremont McKenna College)
DESCRIPTION:Title: Building the Fan of a Toric Variety \nSpeaker: Reginald Anderson\, Department of Mathematical Sciences\, Claremont McKenna College \nAbstract: Roughly speaking\, algebraic geometry studies the zero sets of polynomials\, which lead to objects called varieties. Since the zero sets of polynomials do not always pass the vertical line test\, we enlist other methods to study them besides considering the graph of a function. This is analogous to the use of implicit differentiation in calculus. One such method uses line bundles to understand a variety in terms of its algebraic subspaces. Since the zero sets of polynomials can become complicated in multiple variables over the complex numbers\, one simplifying assumption we can impose is that the variety contain a dense\, open algebraic torus. This leads to the notion of a toric variety. I will describe the fan of a toric variety for the complex projective line\, and mention some recent results concerning toric varieties. \n\n\n\n\n\nReginald Anderson received his PhD in mathematics from Kansas State University in May and studies derived categories of toric DM stacks. His research areas include algebraic geometry\, homological algebra\, and category theory.
URL:https://colleges.claremont.edu/ccms/event/fourier-mukai-transforms-and-resolutions-of-the-diagonal-professor-reginald-anderson-claremont-mckenna-college/
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:20231002T161500
DTEND;TZID=America/Los_Angeles:20231002T171500
DTSTAMP:20260413T000237
CREATED:20230912T154332Z
LAST-MODIFIED:20230929T050112Z
UID:3201-1696263300-1696266900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Tin Thien Phan (Los Alamos National Laboratory)
DESCRIPTION:Title: Understanding SARS-CoV-2 viral rebounds with and without treatments. \nAbstract: In most instances\, the characteristics of SARS-CoV-2 mirror the patterns of an acute infection\, with viral load rapidly peaking around 5 days post-infection and subsequently clearing within 2 weeks. However\, some individuals show signs of viral recrudescence of up to 10000 viral RNA copies/mL shortly following viral remission. These instances of viral resurgence\, distinct from long COVID\, are generally resolved within four weeks post-infection and have been observed across varying treatment statuses\, vaccination statuses\, and viral strains. In this presentation\, I will review existing evidence of transient viral rebound and demonstrate that a class of dynamic models that incorporates virus-immune interaction accurately describes transient viral rebound dynamics under different treatment scenarios\, including those untreated. While these models all share a simple structure with a unique globally-asymptomatic-stable disease-free equilibrium\, the most exciting and relevant aspect hides within their transient phase and remains largely unexplored.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-tin-thien-phan-los-alamos-national-laboratory/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T121500
DTEND;TZID=America/Los_Angeles:20231003T131000
DTSTAMP:20260413T000237
CREATED:20230901T053808Z
LAST-MODIFIED:20230901T053808Z
UID:3170-1696335300-1696338600@colleges.claremont.edu
SUMMARY:Cellular resolutions of the diagonal and exceptional collections for toric D-M stacks (Reginald Anderson\, CMC)
DESCRIPTION:Beilinson gave a resolution of the diagonal for complex projective space\, which gives a strong\, full exceptional collection of line bundles as a generating set for the derived category of coherent sheaves. Bayer-Popescu-Sturmfels generalized Beilinson’s resolution of the diagonal by giving a cellular resolution of the diagonal for a proper subclass of smooth toric varieties which they called “unimodular.” In joint work with Gabe Kerr\, we extended this resolution of the diagonal to smooth projective toric varieties by showing that the cokernel of Bayer-Popescu-Sturmfels’ resolution is torsion with respect to the irrelevant ideal. In this talk\, we show that Bayer-Popescu-Sturmfels’ resolution yields a strong\, full\, exceptional collection of line bundles for unimodular projective toric surfaces\, and that our extended resolution of the diagonal yields a strong\, full exceptional collection of line bundles for a smooth\, non-unimodular projective toric surface.
URL:https://colleges.claremont.edu/ccms/event/cellular-resolutions-of-the-diagonal-and-exceptional-collections-for-toric-d-m-stacks-reginald-anderson-cmc/
LOCATION:Roberts North 102\, CMC
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231003T150000
DTEND;TZID=America/Los_Angeles:20231003T160000
DTSTAMP:20260413T000237
CREATED:20231006T052456Z
LAST-MODIFIED:20231006T052910Z
UID:3276-1696345200-1696348800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Julian Chaidez (USC)
DESCRIPTION:Title: Quantum 4-Manifold Invariants Via Trisections \nAbstract: I will describe a new family of potentially non-semisimple invariants for compact a 4-manifold whose boundary is equipped with an open book. The invariant is computed using a trisection\, along with some additional combing data\, and a piece of algebraic data called a Hopf triple. The relationship with other recent works on non-semisimple 4-manifold invariants\, like the work of Costantino-Geer-Patureau-Mirand-Virelizier\, is not yet clear. This talk is based on joint work with Shawn Cui (Purdue) and Jordan Cotler (Harvard).
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-julian-chaidez-usc/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231004T161500
DTEND;TZID=America/Los_Angeles:20231004T173000
DTSTAMP:20260413T000237
CREATED:20230927T012451Z
LAST-MODIFIED:20231003T221119Z
UID:3265-1696436100-1696440600@colleges.claremont.edu
SUMMARY:Thinking Inside the Box: A combinatorial approach to Schubert Calculus (Sami H. Assaf\, USC)
DESCRIPTION:Title: Thinking Inside the Box: A combinatorial approach to Schubert Calculus \nSpeaker: Sami H. Assaf\, Department of Mathematics\, University of Southern California \nAbstract: Given 2 lines in the plane\, how many points lie on both? If we rule out the case where the two lines are the same\, and we work in projective space so that parallel lines share the point at infinity\, then the answer is always the same: 1 point of intersection. Suppose instead we’re given 4 lines in space. How many other lines meet all four of those? Schubert asked\, and in some cases answered\, such problems in enumerative geometry in his celebrated treatise in 1879. He argued that when the answer is finite\, it does not depend on the choice of the linear spaces. Attempts to formalize Schubert’s “Principle of Conversation of Number” have led us to modern Schubert calculus and intersection theory\, which has ramifications in geometry\, topology\, combinatorics\, and even string theory. I will survey the history of this field from Schubert to now\, highlighting a partial solution that involves enumerating ways of putting numbers in boxes. \n\n\n\n\n\nSami Assaf is a Professor of Mathematics and a Gabilan Distinguished Professor of Science and Engineering at the University of Southern California. Her fundamental research in combinatorics\, geometry and probability is supported by grants from the National Science Foundation and the Simons Foundation. She has delivered plenary addresses for AMS meetings as well as for the annual Formal Power Series and Algebraic Combinatorics conference. Professor Assaf is recipient of a USC Mentoring Award for Faculty Mentoring Undergraduates\, directs a local Math Circle for elementary school students\, and currently serves as Director of Graduate Studies for the Department of Mathematics where she works to foster a culture of inclusivity\, diversity\, and excellence for all students.
URL:https://colleges.claremont.edu/ccms/event/thinking-inside-the-box-a-combinatorial-approach-to-schubert-calculus-sami-h-assaf-usc/
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:20231007T100000
DTEND;TZID=America/Los_Angeles:20231007T120000
DTSTAMP:20260413T000237
CREATED:20230911T161303Z
LAST-MODIFIED:20230911T161303Z
UID:3184-1696672800-1696680000@colleges.claremont.edu
SUMMARY:GEMS October 7th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-october-7th-session/
LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States
CATEGORIES:GEMS
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231009T161500
DTEND;TZID=America/Los_Angeles:20231009T171500
DTSTAMP:20260413T000237
CREATED:20230912T154505Z
LAST-MODIFIED:20231004T015412Z
UID:3202-1696868100-1696871700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Dan Pirjol (Stevens Institute of Technology)
DESCRIPTION:Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance \nAbstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably\, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional integral which is however difficult to evaluate numerically in the region of interest for financial applications. The talk gives an introduction to the HW distribution and presents an asymptotic expansion which can be used for an efficient numerical evaluation. Two applications from mathematical finance are discussed: Asian options pricing in the Black-Scholes model\, and option pricing in the log-normal SABR model.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-dan-pirjol-stevens-institute-of-technology/
LOCATION:Estella 1021 (Emmy Noether Room)\, Pomona College\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Ami Radunskaya":MAILTO:aradunskaya@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20231010T150000
DTEND;TZID=America/Los_Angeles:20231010T160000
DTSTAMP:20260413T000237
CREATED:20230915T192038Z
LAST-MODIFIED:20231006T052904Z
UID:3238-1696950000-1696953600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Christopher Perez (Loyola University New Orleans)
DESCRIPTION:Title: Towers and elementary embeddings in total relatively hyperbolic groups \nAbstract: In a remarkable series of papers\, Zlil Sela classified the first-order theories of free groups and torsion-free hyperbolic groups using geometric structures he called towers. It was later proved by Chloé Perin that if H is an elementarily embedded subgroup (or elementary submodel) of a torsion-free hyperbolic group G\, then G is a tower over H. We prove a generalization of Perin’s result to toral relatively hyperbolic groups using JSJ and shortening techniques.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-christopher-perez-loyola-university-new-orleans/
LOCATION:Fletcher 110\, Pitzer College\, 1050 N Mills Ave\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
END:VCALENDAR