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DTSTART;TZID=America/Los_Angeles:20230320T150000
DTEND;TZID=America/Los_Angeles:20230320T160000
DTSTAMP:20260405T041916
CREATED:20230320T175619Z
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SUMMARY:Deniz Sarikaya on Narratives of Mathematical Practice (and why they matter!)
DESCRIPTION:Deniz Sarikaya joining us from the Technical University of Denmark and speaking on “Narratives of Mathematical Practice (and why they matter!)” (abstract below).\n \nThe speaker will join via zoom\, but there will be a live audience on the second floor of Pitzer College’s Gold Student Center in the Multipurpose room (in the building marked 3 here: https://www.pitzer.edu/about/maps-directions/quick-reference-map/).\n\nabstract:\nThere are different narratives on mathematics as part of our world\, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’\, ‘Mathematics is beautiful’\, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important normative considerations.\nIn this talk\, we want to analyze different narratives of mathematics and suggest that mathematizing as a virtuous practice in its own right is a better narrative of mathematics than\, for example\, extrinsic narratives which focus on the results of mathematical activity and the application of mathematics in non-mathematical contexts. By ‘better’ we mean that the mathematizing-narrative describes mathematical practice more adequately and that it allows for a shift in mathematics education that yields beneficial outcomes for our society. This is heavily drawing on Freudenthal’s Realistic Mathematical Education.\n \nThe talk is based on joint work with Deborah Kant (University of Hamburg)
URL:https://colleges.claremont.edu/ccms/event/deniz-sarikaya-on-narratives-of-mathematical-practice-and-why-they-matter/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:History and Philosophy of Mathematics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230321T121500
DTEND;TZID=America/Los_Angeles:20230321T131000
DTSTAMP:20260405T041916
CREATED:20230113T153459Z
LAST-MODIFIED:20230313T193754Z
UID:3025-1679400900-1679404200@colleges.claremont.edu
SUMMARY:Robust properties of graphs (Asaf Ferber\, UC Irvine)
DESCRIPTION:In this talk we will consider some notions of `robustness’ of graph/hypergraph properties. We will survey some existing results and will try to emphasize the following new result (joint with Adva Mond and Kaarel Haenni): The binomial random digraph $D_{n\,p}$ typically contains the minimum between the minimum out- and in-degrees many edge-disjoint Hamilton cycles\, given that $p\geq \log^C n/n$. The result is optimal up to log factors.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-asaf-ferber-uc-irvine/
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:20230322T161500
DTEND;TZID=America/Los_Angeles:20230322T173000
DTSTAMP:20260405T041916
CREATED:20230122T183858Z
LAST-MODIFIED:20230306T164339Z
UID:3043-1679501700-1679506200@colleges.claremont.edu
SUMMARY:How Many Cards Can Avoid a SET? (Prof. Mohamed Omar\, Harvey Mudd College)
DESCRIPTION:Title: How Many Cards Can Avoid a SET? \nSpeaker: Mohamed Omar\, Department of Mathematics\, Harvey Mudd College \nAbstract: SET is a popular real-time card game where players search for special triples of cards among a table of cards that are face-up. A common issue when playing the game is not having a SET among theface-up cards. What is the maximum number of cards that can be face-up while avoiding a SET? Surprisingly\, this question is at the heart of a decades old central problem in extremal combinatorics and additive number theory that had a major breakthrough in 2017. In this talk\, we describe the breakthrough\, and how the presenter used ideas in its development to make headway on a range of disparate problems in combinatorics. \n\n\n\n\n\nDr. Mohamed Omar is an Associate Professor of Mathematics\, Associate Chair of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College. He has received national awards for his research\, including being the inaugural recipient of the American Mathematical Society’s Claytor-Gilmer Fellowship and an inaugural recipient of the Karen EDGE Fellowship\, both celebrating mid-career research. He has also earned the Henry L. Alder Award\, the preeminent junior faculty national prize given by the Mathematical Association of America. He is the author of over 30 peer-reviewed articles in internationally recognized journals\, studying the interaction between algebra and combinatorics.
URL:https://colleges.claremont.edu/ccms/event/prof-mohamed-omar/
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:20230323T163000
DTEND;TZID=America/Los_Angeles:20230323T173000
DTSTAMP:20260405T041916
CREATED:20230323T212318Z
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SUMMARY:The Hilbert space approach in the theory of differential equations (Adolfo Rumbos\, Pomona College)
DESCRIPTION:In this talk we discuss the Hilbert space approach\, or the variational approach\, in the study of questions of existence and multiplicity for some two-point boundary-value problems for nonlinear\, second order\, ordinary differential equations (ODEs).  We illustrate the use of the Hilbert space approach in obtaining some old existence results for periodic solutions of a semilinear ODE\, and some recent multiplicity results for a related problem. The talk is based on joint work with Noah Benjamin (Pomona College ’23) and Leandro Recôva (Cal Poly Pomona).
URL:https://colleges.claremont.edu/ccms/event/the-hilbert-space-approach-in-the-theory-of-differential-equations-adolfo-rumbos-pomona-college/
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:20230327T161500
DTEND;TZID=America/Los_Angeles:20230327T171500
DTSTAMP:20260405T041916
CREATED:20221026T182923Z
LAST-MODIFIED:20230816T040538Z
UID:2971-1679933700-1679937300@colleges.claremont.edu
SUMMARY:Applied Math Seminar:  Linh Huynh (University of Utah)
DESCRIPTION:Title:Inferring birth and death rates from population size time series data   \nAbstract:\nModels of population dynamics are usually formulated and analyzed with net growth rates. However\, separately identifying birth and death rates is significant in various biological applications such as disambiguating (1) exploitation vs. interference competition in ecology\, (2) bacteriostatic vs. bactericidal antibiotics in clinical treatments\, and (3) enhanced-fecundity vs. reduced-mortality mechanisms in drug resistance. In each of these three contexts\, the mechanisms are different\, but could be manifest in the same mean-field population size. \nIn this talk\, I will discuss a nonparametric method that utilizes stochastic fluctuations to extract birth and death rates from population size time series data. I will demonstrate the method on logistic growth to study density dependence\, but the method can be applied to general birth-death processes and does not require a priori assumptions on the rates. I will also discuss how to implement the theory on sample data and our estimation error analysis. This is based on published work joint with Peter Thomas (Case Western Reserve University) and Jacob Scott (Cleveland Clinic) and can be found here: Inferring density-dependent population dynamics mechanisms through rate disambiguation for logistic birth-death processes.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-linh-huynh-university-of-utah/
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:20230328T121500
DTEND;TZID=America/Los_Angeles:20230328T131000
DTSTAMP:20260405T041916
CREATED:20230124T212708Z
LAST-MODIFIED:20230320T225330Z
UID:3054-1680005700-1680009000@colleges.claremont.edu
SUMMARY:The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong\, UC Irvine)
DESCRIPTION:Given a prime p\, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0\,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p\, this lets us compute the asymptotic distribution of the Smith normal form of P(X(n)). In fact\, we shall consider the same problem with a more general random matrix X(n)\, which also includes the example of a Haar-random matrix. Our work crucially uses a recent work of W. Sawin and M. M. Wood which shows that the moments of finite size modules over any ring determine their distribution.\n\nThis is joint work with Myungjun Yu. https://arxiv.org/abs/2303.09125
URL:https://colleges.claremont.edu/ccms/event/antc-talk-gilyoung-cheong-uci/
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:20230329T161500
DTEND;TZID=America/Los_Angeles:20230329T173000
DTSTAMP:20260405T041916
CREATED:20230122T184003Z
LAST-MODIFIED:20230328T003844Z
UID:3044-1680106500-1680111000@colleges.claremont.edu
SUMMARY:Reading Topology from Open Books (Prof. Bahar Acu\, Pitzer College)
DESCRIPTION:Title: Reading Topology from Open Books \nSpeaker: Bahar Acu\, Department of Mathematics\, Pitzer College \nAbstract: How can we study topological shapes that are outside the realm of our imagination? In this talk\, we will explore potential answers to that question by diving deep into dimensionality and topology via open books.  Topology is the study of properties of shapes that do not fundamentally change when they are bent and/or stretched without poking holes or ripping apart. At this point\, you must have heard that to a topologist\, a donut and a coffee cup (with a handle) are the same thing since one can be deformed into the other continuously\, i.e. only via bending and/or stretching. A very useful strategy in studying topological objects (in our case\, manifolds) is to factor them into smaller pieces. An open book decomposition of an n-dimensional manifold (the open book) is a special function that helps us study our object in terms of its (n-1)-dimensional fibers (the pages) and (n-2)-dimensional boundary of these fibers (the binding). This topological tool provides a natural framework for studying topological properties of certain geometric structures on smooth manifolds such as contact structures. For example\, every (contact) 3-dimensional manifold can be presented as an open book whose pages are surfaces and binding is a knot/link. In this talk\, we will talk about these objects in greater detail with examples. \n\n\n\n\n\nDr. Bahar Acu is an Assistant Professor of Mathematics at Pitzer College. Prior to joining Claremont Colleges\, Dr. Acu held positions at UCLA\, Northwestern\, ETH Zürich\, and IAS Princeton following a Ph.D. degree from the University of Southern California. Dr. Acu’s primary research interests are in the field of geometric topology\, more precisely contact and symplectic topology in high dimensions and their relations with low-dimensional topology. Dr. Acu is the co-founder and lead-organizer of the inaugural international research collaboration conference for women and nonbinary mathematicians in the field of symplectic and contact geometry and topology. The peer-reviewed volume of this conference Research Directions in Symplectic and Contact Geometry and Topology\, lead-edited by Dr. Acu\, was recently published as a part of Springer’s Association for Women in Mathematics Series.
URL:https://colleges.claremont.edu/ccms/event/prof-bahar-acu/
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:20230403T161500
DTEND;TZID=America/Los_Angeles:20230403T171500
DTSTAMP:20260405T041916
CREATED:20221020T204917Z
LAST-MODIFIED:20230320T152627Z
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SUMMARY:Applied Math Seminar: Ivy Xiong (USC)
DESCRIPTION:Title: A common pathway to cancer: oncogenic mutations abolish p53 oscillations. \nAbstract:\nThe tumor suppressor p53 oscillates in response to DNA double-strand breaks\, a behavior that has been suggested to be essential to its anti-cancer function. Nearly all human cancers have genetic alterations in the p53 pathway; a number of these alterations have been shown to be oncogenic by experiment. These alterations include somatic mutations and copy number variations as well as germline polymorphisms. Intriguingly\, they exhibit a mixed pattern of interactions in tumors\, such as co-occurrence\, mutual exclusivity\, and paradoxically\, mutual antagonism. Using a differential equation model of p53-Mdm2 dynamics\, I employ Hopf bifurcation analysis to show that these alterations have a common mode of action\, to abolish the oscillatory competence of p53\, thereby impairing its tumor suppressive function. In this analysis\, diverse genetic alterations\, widely associated with human cancers clinically\, have a unified mechanistic explanation of their role in oncogenesis. In this talk\, I will also discuss the role of physiological oscillations in health and disease broadly. \nReferences: \nXiong\, L.\, and Garfinkel\, A. (2022). A common pathway to cancer: Oncogenic mutations abolish p53 oscillations. Progress in Biophysics and Molecular Biology. DOI: 10.1016/j.pbiomolbio.2022.06.002 \nXiong\, L.\, and Garfinkel\, A. (2023). Are physiological oscillations “physiological”? arXiv. DOI: 10.48550/arXiv.2301.08996
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-ivy-xiong-usc/
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:20230404T121500
DTEND;TZID=America/Los_Angeles:20230404T131000
DTSTAMP:20260405T041916
CREATED:20230112T225942Z
LAST-MODIFIED:20230327T230516Z
UID:3023-1680610500-1680613800@colleges.claremont.edu
SUMMARY:Noise stability of ranked choice voting (Steven Heilman\, USC)
DESCRIPTION:Given votes for candidates\, what is the best way to determine the winner of the election\, if some of the votes have been corrupted or miscounted?  As we saw in Florida in 2000\, where a difference of 537 votes determined the president of the United States\, the electoral college system does not seem to be the best voting method. We will survey some recent progress on the above question along with some open problems. In particular\, we consider which ranked choice voting method is most stable to corrupted or miscounted votes. \nhttps://arxiv.org/abs/2209.11183
URL:https://colleges.claremont.edu/ccms/event/antc-talk-steven-heilman-usc/
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:20230405T161500
DTEND;TZID=America/Los_Angeles:20230405T173000
DTSTAMP:20260405T041916
CREATED:20230122T184214Z
LAST-MODIFIED:20230403T235658Z
UID:3045-1680711300-1680715800@colleges.claremont.edu
SUMMARY:Wallis and Landen: A Tale of two integrals (Prof. Victor Moll\, Tulane University)
DESCRIPTION:Title: Wallis and Landen: A Tale of two integrals \nSpeaker: Victor Moll\, Department of Mathematics\, Tulane University \nAbstract: Victor Moll Abstract \n  \n\n\n\n\n\nI was born in Santiago\, Chile during the last millenium\, on October 31st. My father was a doctor in a small town. I must have been bothering my family\, so they put me to school at an early age. My first mathematical mentor was Maria Pardo\, who recognized that I had some talent for Mathematics. Since this came easy\, I spent most of my middle and high school years trying to learn some more. The other subjects suffered.\nAfter high-school\, liking Mathematics\, I enrolled in an Engineering School. Not a good idea. But since one could transfer to study Mathematics\, everything worked out fine. After graduation\, since PhD’s in Math were rare in Chile\, I was hired as a faculty member of Universidad Santa Maria (not a catholic school\, this is the last name of some rich chilean person). In 1980 I left for New York City\, to begin my graduate education at the Courant Institute of NYU. I was interested in Number Theory and this is one of the best places for Applied Mathematics. Talk about being clueless. There I met my wife\, Lisa Fauci\, then also a student. (She is the former president of SIAM and has a large collections of well-deserved awards). We both got positions at Tulane University in 1986. We figure we will try New Orleans for a year or two. Never left.\nMy PhD thesis was in the stability of waves for a model for nerve conduction. Did that until I got tenure. After tenure I spent a sabbatical to finish writing a book on Elliptic Curves (jointly with my advisor\, Henry McKean). Then a piece of luck: a first year graduate student (George Boros) told me that he could compute an integral. Not impressed\, I tried Mathematica and it was unable to find the answer. This changed my research area. I have been computing integrals since then. Have written a variety of papers on this and three books (at diverse levels). I am currently the scientific editor of the table by Gradshteyn and Ryzhik\, one of the most used tables in the world.\nI enjoy working with undergraduate and graduate students\, professional colleagues and amateurs. I have been part of REU programs such as SIMU (in Puerto Rico)\, MSRI-UP (at Berkeley) and a variety of summer programs at Tulane. Lately I have been participating in programs aimed at faculty coming from institutions with high teaching load (Park City\, Utah and ICERM\, at Brown). My latest projects involves a new method called ”The method of brackets”\, invented by my collaborator Ivan Gonzalez\, a professor of Physics in Valparaiso\, Chile. Our works deals with the evaluation of Feynman diagrams\, coming in the description of elementary particles. To me\, this is the last leg of a cycle. As a high school student\, I wanted to study Particle Physics. It is never too late to go back to the beginning.
URL:https://colleges.claremont.edu/ccms/event/prof-victor-moll/
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:20230406T163000
DTEND;TZID=America/Los_Angeles:20230406T173000
DTSTAMP:20260405T041916
CREATED:20230406T184956Z
LAST-MODIFIED:20230406T185011Z
UID:3120-1680798600-1680802200@colleges.claremont.edu
SUMMARY:Radial solutions to semilinear elliptic partial differential equations (Professor Alfonso Castro\, HMC)
DESCRIPTION:Using elementary methods from differential equations and analysis we will consider the existence and multiplicity of solutions to semilinear partial differential equations with boundary conditions.
URL:https://colleges.claremont.edu/ccms/event/radial-solutions-to-semilinear-elliptic-partial-differential-equationsprofessor-alfonso-castro-hmc/
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:20230410T161500
DTEND;TZID=America/Los_Angeles:20230410T171500
DTSTAMP:20260405T041916
CREATED:20230131T010146Z
LAST-MODIFIED:20230816T023147Z
UID:3058-1681143300-1681146900@colleges.claremont.edu
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:20260405T041916
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:20260405T041916
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:20260405T041916
CREATED:20230319T224042Z
LAST-MODIFIED:20230319T224042Z
UID:3101-1681552800-1681560000@colleges.claremont.edu
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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:20260405T041916
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
END:VCALENDAR