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DTSTART;TZID=America/Los_Angeles:20240207T161500
DTEND;TZID=America/Los_Angeles:20240207T173000
DTSTAMP:20260518T001927
CREATED:20240201T010113Z
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SUMMARY:Shrinkage Estimation for Causal Inference and Experimental Design (Evan T. R. Rosenman)
DESCRIPTION:Title: Shrinkage Estimation for Causal Inference and Experimental Design \nSpeaker: Evan T. R. Rosenman\, Assistant Professor of Statistics\, Claremont McKenna College \nAbstract: Passive collection of observational data — in settings such as medicine\, insurance\, and e-commerce — is a ubiquitous feature of modern life. For statisticians\, these ever-proliferating datasets are both promising and perilous. Observational data often contain rich information about the causal effects of novel treatments\, such as a new vaccine or drug regimen. Yet\, because assignment to treatment is not randomized within these data\, one can never guarantee that treated and untreated units are comparable. Consequently\, causal effects derived from observational studies often suffer from bias. The applied literature contains myriad examples of treatments that seemed promising in observational data\, only to be overturned by later\, higher-quality studies. \nHow might we make headway\, given these challenges? One approach is to couple observational data with randomized trials. In this talk\, I will consider how to develop estimators to merge causal effect estimates obtained from observational and experimental datasets\, when the two data sources measure the same treatment. I will primarily operate in the Empirical Bayes (EB) framework. EB procedures\, rooted in the work of Charles Stein and the renowned James-Stein estimator\, offer principled\, data-driven methods for reconciling competing estimates of the same quantity. I will discuss two techniques for deriving EB estimators that effectively merge observational and experimental causal estimates. Additionally\, I will explore the potential contribution of these concepts to improving the efficiency of prospective randomized trials. Simple algorithms\, leveraging numerical integrals\, will be highlighted for making more informed recruitment and treatment assignment decisions within the experimental setup.\n\n\n\n\n\nEvan Rosenman is an Assistant Professor of Statistics in the Claremont McKenna Department of Mathematical Sciences. His research focuses primarily on problems in data science and causal inference\, with applications to political science and public health. He is particularly intrigued by problems involving hybridizing observational and experimental data to better estimate causal effects\, and by applications in modern electioneering\, such as ecological inference and prediction calibration. He earned his PhD in Statistics from Stanford University and completed a postdoctoral fellowship at the Harvard Data Science Initiative.
URL:https://colleges.claremont.edu/ccms/event/shrinkage-estimation-for-causal-inference-and-experimental-design-evan-t-r-rosenman/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240210T100000
DTEND;TZID=America/Los_Angeles:20240210T120000
DTSTAMP:20260518T001927
CREATED:20240123T234910Z
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SUMMARY:GEMS February 10th Session
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/gems-february-10th-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:20240212T161500
DTEND;TZID=America/Los_Angeles:20240212T171500
DTSTAMP:20260518T001927
CREATED:20240207T150322Z
LAST-MODIFIED:20240207T150322Z
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SUMMARY:Dagan Karp (Harvey Mudd College)
DESCRIPTION:Title: Tropical Linear Series\n\nAbstract: In this talk I’ll attempt to give a friendly and example-driven introduction to the theory of linear series on tropical curves. While in some respects mirroring the classical study of linear series\, in the tropical setting there are many surprises and even basic questions remain open. This work is joint with Chang Chih-Wei\, Hernan Iriarte\, David Jensen\, Sam Payne\, and Jidong Wang.
URL:https://colleges.claremont.edu/ccms/event/dagan-karp-harvey-mudd-college/
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:20240213T121500
DTEND;TZID=America/Los_Angeles:20240213T131000
DTSTAMP:20260518T001927
CREATED:20240116T192503Z
LAST-MODIFIED:20240116T202510Z
UID:3335-1707826500-1707829800@colleges.claremont.edu
SUMMARY:Quiver categorification of quandle invariants (Sam Nelson\, CMC)
DESCRIPTION:Quiver structures are naturally associated to subsets of the endomorphism sets of quandles and other knot-coloring structures\, providing a natural form of categorification of homset invariants and their enhancements. In this talk we will survey recent work in this area.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-sam-nelson-cmc-3/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240213T150000
DTEND;TZID=America/Los_Angeles:20240213T160000
DTSTAMP:20260518T001927
CREATED:20240124T181020Z
LAST-MODIFIED:20240129T194110Z
UID:3347-1707836400-1707840000@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Luya Wang (Stanford)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Luya Wang (Stanford) \nTitle: Deformation inequivalent symplectic structures and Donaldson’s four-six question \nAbstract: Studying symplectic structures up to deformation equivalences is a fundamental question in symplectic geometry. Donaldson asked: given two homeomorphic closed symplectic four-manifolds\, are they diffeomorphic if and only if their stabilized symplectic six-manifolds\, obtained by taking products with CP^1 with the standard symplectic form\, are deformation equivalent? I will discuss joint work with Amanda Hirschi on showing how deformation inequivalent symplectic forms remain deformation inequivalent when stabilized\, under certain algebraic conditions. This gives the first counterexamples to one direction of Donaldson’s “four-six” question and the related Stabilizing Conjecture by Ruan.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-luya-wang-stanford/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240214T161500
DTEND;TZID=America/Los_Angeles:20240214T173000
DTSTAMP:20260518T001927
CREATED:20240210T024434Z
LAST-MODIFIED:20240210T024434Z
UID:3381-1707927300-1707931800@colleges.claremont.edu
SUMMARY:Mirror Symmetry and Zeta Values (Sheel Ganatra\, USC)
DESCRIPTION:Title: Mirror Symmetry and Zeta Values \nSpeaker: Sheel Ganatra\, University of Southern California \nAbstract: Mirror symmetry is a conjectural correspondence\, born out of ideas in string theory\, between two geometries of very different nature. In its earliest mathematical appearance\, mirror symmetry was used to make predictions for certain numerical measurements of one space in terms of utterly different calculations on a mirror space. Mysteriously\, certain famous arithmetic constants\, the Riemann zeta values\, were repeatedly observed to appear in the transformation taking measurements on one side to measurements on the mirror side.  I will survey these ideas and then present joint work with Abouzaid\, Iritani\, and Sheridan explaining a geometric origin for the appearance of these constants in mirror symmetry. \n\n\n\n\n\nSheel Ganatra is an Associate Professor at the University of Southern California. Prior to coming to USC in 2016\, he completed his PhD at MIT with Denis Auroux in 2012 (two years of which were on exchange at UC Berkeley) and spent 4 years as a Szegö Assistant Professor and NSF postdoctoral Fellow at Stanford. His research interests include symplectic geometry and mirror symmetry\, and he is the recipient of an NSF Career Award and a Simons Fellowship.
URL:https://colleges.claremont.edu/ccms/event/mirror-symmetry-and-zeta-values-sheel-ganatra-usc/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Colloquium
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240219T161500
DTEND;TZID=America/Los_Angeles:20240219T171500
DTSTAMP:20260518T001927
CREATED:20240220T215909Z
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SUMMARY:Cristian Lopez Morales (UNAL)
DESCRIPTION:Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia \nTitle \nSerre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. \nAbstract: \nThe Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K[x_1\,…\,x_n]\, every projective module is free. Despite the algebraic nature of the objects involved in this theorem and its proof\, this is a problem motivated by geometry. \n\nOriginally\, this problem was proposed by the French mathematician Jean-Pierre Serre as one of his famous conjectures. In this talk\, we will discuss the original formulation of Serre’s conjecture (the Quillen-Suslin theorem)\, along with the necessary concepts to translate the geometric statement into the algebraic one.
URL:https://colleges.claremont.edu/ccms/event/cristian-lopez-morales-unal/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20240220T121500
DTEND;TZID=America/Los_Angeles:20240220T131000
DTSTAMP:20260518T001927
CREATED:20231127T045722Z
LAST-MODIFIED:20240219T164238Z
UID:3328-1708431300-1708434600@colleges.claremont.edu
SUMMARY:Point-counting and topology of algebraic varieties (Siddarth Kannan\, UCLA)
DESCRIPTION:A projective algebraic variety X is the zero locus of a collection of homogeneous polynomials\, in projective space. When the polynomials have integer coefficients\, we can think of the k-valued points X(k) of the variety\, for any field k. Now suppose we have two different fields k and k’. How does the behavior of X(k) inform the behavior of X(k’)? It turns out that this is a rich line of inquiry. I will present a particularly pleasing example which relates the topology of the complex-valued points of X with the number of points it has over finite fields.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-siddarth-kannan-ucla/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240220T150000
DTEND;TZID=America/Los_Angeles:20240220T160000
DTSTAMP:20260518T001927
CREATED:20240128T225522Z
LAST-MODIFIED:20240210T020345Z
UID:3356-1708441200-1708444800@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: Puttipong Pongtanapaisan (Arizona State university)
DESCRIPTION:We welcome all undergraduates and graduate students to attend topology seminar! \nSpeaker: Puttipong Pongtanapaisan (Arizona State University) \nTitle: Building Knotted Objects Efficiently \nAbstract: Knotted objects can be constructed by gluing together standard pieces called handles. Understanding the minimum number of handles required for construction and their sequential attachment provides valuable insights into the complexity of entanglement. Certain knots require specific types of handles to be attached first\, preventing them from fitting into small lattice tubes. This is particularly relevant as polymers in confinement are modeled as knots within lattice tubes. In this talk\, I will discuss methods for studying these handles and their attachment order using coloring games applied to link diagrams.
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-puttipong-pongtanapaisan-arizona-state-university/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240221T161500
DTEND;TZID=America/Los_Angeles:20240221T173000
DTSTAMP:20260518T001927
CREATED:20240202T200558Z
LAST-MODIFIED:20240202T200558Z
UID:3374-1708532100-1708536600@colleges.claremont.edu
SUMMARY:Evolution of an Intriguing Recreational Math Problem (Shawn McMurran\, California State University San Bernardino)
DESCRIPTION:Title: Evolution of an Intriguing Recreational Math Problem \nSpeaker: Shawn McMurran\, California State University San Bernardino \nAbstract: Besides being popular and entertaining\, recreational mathematics problems are often of historical interest. In this presentation we will highlight the origin and evolution of one such simply stated yet deep problem. The problem emerged during the eighteenth century tucked into a primarily standard arithmetic text. Over the next two centuries\, several notable names contributed to a growing collection of extensions\, generalizations\, and solution strategies. In more recent years\, relatives of this versatile problem have remained ubiquitous. It is likely that most audience members are familiar with at least one of its incarnations. During our journey\, opportunities will be provided for the audience to engage with the problem and some of its variations. \n\n\n\n\n\nShawn McMurran is a professor of mathematics at California State University San Bernardino. She earned her PhD in mathematics from UC Riverside with a background in PDEs. Current areas of interest include mathematics education and history of mathematics. She and her colleague Jim Tattersall have enjoyed many years of collaboration on math history projects\, including the subject of this presentation.
URL:https://colleges.claremont.edu/ccms/event/evolution-of-an-intriguing-recreational-math-problem-shawn-mcmurran-california-state-university-san-bernardino/
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;VALUE=DATE:20240224
DTEND;VALUE=DATE:20240225
DTSTAMP:20260518T001927
CREATED:20240124T181450Z
LAST-MODIFIED:20240124T181543Z
UID:3348-1708732800-1708819199@colleges.claremont.edu
SUMMARY:14th WiMSoCal Symposium at Pomona
DESCRIPTION:The 14th Symposium for Women and Gender Minorities in Mathematics in Southern California \nWiMSoCal returns to SoCal after a four-year-hiatus due to pandemic. \nThe symposium will provide an opportunity for women and gender-nonconforming individuals in mathematics in the Southern California area to get to know each other on a personal as well as professional level.  \nOur aim is to create a network of mathematicians in the Southern California area in order to nurture collaborations and provide a framework for mentoring. These relationships can facilitate mathematicians branching into new areas of mathematics\, exploring the variety of ways of contributing mathematically to society and the profession\, and maintaining a healthy\, balanced life. \nAttendees of this symposium will: \n\nLearn about the research of women and gender-nonconforming mathematicians in Southern California \nPresent your work in a supportive environment \nNetwork with other Southern California mathematicians (students\, faculty\, and industry professionals)\nExplore issues surrounding being a woman and gender minority in mathematics \n\nAll are welcome to register and attend: \nhttps://sites.google.com/view/wimsocal2024 \nThis event is made possible partly by Pitzer’s generous Agnes Moreland Jackson Diversity Program Fund.
URL:https://colleges.claremont.edu/ccms/event/14th-wimsocal-symposium-at-pomona/
LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Special Event
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
GEO:34.0999157;-117.7142668
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240226T161500
DTEND;TZID=America/Los_Angeles:20240226T171500
DTSTAMP:20260518T001927
CREATED:20240220T215244Z
LAST-MODIFIED:20240220T224116Z
UID:3391-1708964100-1708967700@colleges.claremont.edu
SUMMARY:Javier Gonzalez Anaya (Harvey Mudd College)
DESCRIPTION:This is the continuation of the semester’s joint seminar with the Universidad Nacional de Colombia-Manizales. \nTitle: Enumerating linearity regions of max-pooling layers in convolutional neural networks \nAbstract: Convolutional neural networks (CNN’s) are central tools in the application of machine learning to text\, audio and image processing. Their success stems from the ability of these networks to identify key features in complex datasets at a relatively low computational cost. Max-pooling layers (MPL’s) are key components of CNN’s that reduce the number of parameters used by the network while making it more robust to small changes in the input data. From a mathematical point of view\, MPLs are piecewise-linear functions\, and their number of linearity regions can be interpreted as a measure of complexity of the layer. In this talk I will explain how we can use combinatorial techniques to count these linearity regions\, and survey our current results in the area.
URL:https://colleges.claremont.edu/ccms/event/javier-gonzalez-anaya-harvey-mudd-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20240227T121500
DTEND;TZID=America/Los_Angeles:20240227T131000
DTSTAMP:20260518T001927
CREATED:20240126T230120Z
LAST-MODIFIED:20240221T014138Z
UID:3354-1709036100-1709039400@colleges.claremont.edu
SUMMARY:The restricted variable Kakeya problem (Pete Clark\, University of Georgia)
DESCRIPTION:For a finite field F_q\, a subset of F_q^N is a Kakeya set if it contains a line in every direction (i.e.\, a coset of every one-dimensional linear subspace).  The finite field Kakeya problem is to determine the minimal size K(N\,q) of a Kakeya set in F_q^N.  This problem was posed by Wolff in 1999 as an analogue to the Kakeya problem in Euclidean N-space\, which was (and still is) one of the major open problems in harmonic analysis.  It caused quite a stir in 2008 when Zeev Dvir showed that for each fixed N\, as q -> oo\, K(N\,q) is bounded below by a constant times q^N: the Euclidean analogue of this result is not only proved but known to be false.\n\nBut what about the constant?  In 2009 Dvir-Kopparty-Saraf-Sudan gave a lower bound on K(N\,q) that was within a factor of 2 of an upper bound due to Dvir-Thas.  (I will briefly mention recent work of Bukh-Chao giving a decisive further improvement\, but that is not the focus of the talk.) The key to this improved lower bound is a multiplicity enhancement of a 1922 result of Ore. In this talk I want to give my own exposition of this work together with a mild generalization: if X is a subset of F_q^N \ {0}\, then an X-Kakeya set is a subset that contains a translate of the line generated by x for all x in X.  Putting K_X(N\,q) to be the minimal size of an X-Kakeya set in F_q^N\, I will give a lower bound on K_X(N\,q) that recovers the DKSS bound when X = F_q^N \ {0}.  This is similar in spirit to  “statistical Kakeya” results of Dvir and DKSS but not overlapping much; in fact\, I will give a statistical generalization of my result as well.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-pete-clark-university-of-georgia/
LOCATION:Estella 2099
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240227T150000
DTEND;TZID=America/Los_Angeles:20240227T160000
DTSTAMP:20260518T001927
CREATED:20240128T225822Z
LAST-MODIFIED:20240224T002645Z
UID:3361-1709046000-1709049600@colleges.claremont.edu
SUMMARY:Claremont Topology Seminar: No Seminar
DESCRIPTION:No Seminar
URL:https://colleges.claremont.edu/ccms/event/claremont-topology-seminar-orsola-capovilla-searle-uc-davis/
LOCATION:Estella 2099
CATEGORIES:Topology Seminar
ORGANIZER;CN="Bahar Acu":MAILTO:Bahar_Acu@pitzer.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20240228T161500
DTEND;TZID=America/Los_Angeles:20240228T173000
DTSTAMP:20260518T001927
CREATED:20240222T005317Z
LAST-MODIFIED:20240222T005317Z
UID:3395-1709136900-1709141400@colleges.claremont.edu
SUMMARY:A Group-Theoretic Ax-Katz Theorem (Pete L. Clark\, University of Georgia)
DESCRIPTION:Title: A Group-Theoretic Ax-Katz Theorem \nSpeaker: Pete L. Clark\, University of Georgia \nAbstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low degree polynomial system over a finite field is divisible by the characteristic of the field.  It is an important result — it includes a conjecture of Artin and Dickson from the 1920’s — but it is not difficult to prove: the original proof is about three pages.  In 1964 James Ax gave a completely elementary ten line proof.   In the same paper\, Ax showed that as the number and degrees of the polynomials are held fixed and the number of variables increases\, not only is the size of the solution set divisible by p but by higher and higher powers of p.  The best possible p-adic divisibility here was given in 1971 by Nicholas Katz.  Katz’s proof is at a much higher level: you need specialist knowledge in the right subfields of number theory to understand it.  Simpler proofs were found later\, but none fulfills the fantasy of generalizing Ax’s ten line proof of Chevalley-Warning. \nA 2021 work of Aichinger-Moosbauer develops a fully fledged calculus of finite differences for maps between commutative groups and uses it to give a purely group-theoretic generalization of Chevalley-Warning. Nicholas Triantafillou and I have used and extended this work: up to a few black boxes (where most of the content is indeed hidden) we give a ten line proof of a group-theoretic analogue of Ax-Katz that “qualitatively fulfills my fantasy.”\n\n\n\n\n\nIn (North)west Philadelphia was Pete L. Clark born and raised.  He received undergraduate and masters degrees from the University of Chicago and a PhD from Harvard University.  He has worked in the Mathematics Department at the University of Georgia since 2006\, where he was the Graduate Coordinator from 2016-2019 and where he is now the Principal Honors Advisor.  When time permits he is an avid reader\, and his favorite authors include Ralph Ellison\, Jonathan Franzen\, Kazuo Ishiguro\, Carmen Maria Machado and Lorrie Moore.
URL:https://colleges.claremont.edu/ccms/event/a-group-theoretic-ax-katz-theorem-pete-l-clark-university-of-georgia/
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
END:VCALENDAR