BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Los_Angeles BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20190310T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20191103T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20200308T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20201101T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20210314T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20211107T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20220313T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20221106T090000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201026T150000 DTEND;TZID=America/Los_Angeles:20201026T160000 DTSTAMP:20260405T023424 CREATED:20200128T182630Z LAST-MODIFIED:20201016T000308Z UID:1821-1603724400-1603728000@colleges.claremont.edu SUMMARY:Applied Math Talk: Thin liquid film resulting from a distributed source on a vertical wall given by Yadong Ruan (CGU) DESCRIPTION:In this talk\, we will talk about the thin film model derived for liquid film resulting from a distributed source on a vertical wall and some distinct properties about the model. We will discuss the different behavior and properties of the model with and without considering surface tension. When the surface tension is neglected\, a critical source strength is found below which the film flows entirely upward due to the airflow\, and above which some of the flow is carried downward by gravity. In both cases\, a steady state is established over the region where the finite source is located. The presence of surface tension\, even when small\, causes a dramatic change in the film profiles and the speed and structure of the shock waves. These are studied in more detail by examining the traveling wave solutions away from the source region. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-yadong-ruan-cgu/ LOCATION:CA CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201028T161500 DTEND;TZID=America/Los_Angeles:20201028T173000 DTSTAMP:20260405T023424 CREATED:20200910T153940Z LAST-MODIFIED:20201007T211225Z UID:2027-1603901700-1603906200@colleges.claremont.edu SUMMARY:Prof. Stephan Ramon Garcia DESCRIPTION:Title: Combinatorics and the Kitchen Sink \nAbstract: Numerical semigroups are simple combinatorial objects that lead to deep and subtle questions. We answer in one fell swoop virtually all asymptotic questions about factorization lengths in numerical semigroups. Surprisingly\, this uses tools from complex\, harmonic\, and functional analysis\, probability theory\, algebraic combinatorics\, and computer-aided design! Our results yield uncannily accurate predictions that agree with numerical computations\, along with some totally unexpected byproducts. \nThis work was partially supported by NSF Grant DMS-1800123. Joint work with A. Böttcher\, M. Omar\, C.O’Neill\, and Pomona undergraduate students T. Wesley (’21) and S.Yih (’18). \nProf. Garcia is the W.M. Keck Distinguished Service Professor and Professor of Mathematics at Pomona College URL:https://colleges.claremont.edu/ccms/event/prof-stephan-ramon-garcia/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201102T150000 DTEND;TZID=America/Los_Angeles:20201102T160000 DTSTAMP:20260405T023424 CREATED:20200813T013923Z LAST-MODIFIED:20201024T182755Z UID:1932-1604329200-1604332800@colleges.claremont.edu SUMMARY:Applied Math Seminar: Numerical approximation of statistical solutions of hyperbolic systems of conservation laws given by Professor Franziska Weber (Carnegie Mellon University) DESCRIPTION:Statistical solutions are time-parameterized probability\nmeasures on spaces of integrable functions\, which have been proposed\nrecently as a framework for global solutions for multi-dimensional\nhyperbolic systems of conservation laws. We present a numerical algorithm\nto approximate statistical solutions of conservation laws and show that\nunder the assumption of ‘weak statistical scaling’\, which is inspired by\nKolmogorov’s 1941 turbulence theory\, the approximations converge in an\nappropriate topology to statistical solutions. We will show numerical\nexperiments which indicate that the assumption might hold true. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-professor-franziska-weber-carnegie-mellon-university/ LOCATION:Zoom CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201104T161500 DTEND;TZID=America/Los_Angeles:20201104T173000 DTSTAMP:20260405T023424 CREATED:20200901T182037Z LAST-MODIFIED:20200910T152242Z UID:2018-1604506500-1604511000@colleges.claremont.edu SUMMARY:Prof. Sarah Marzen DESCRIPTION:Title: Training dynamical systems to predict their input \nAbstract: Evolved systems seem to predict their environment. Even bacteria can implicitly predict future concentrations of scarce sugar or antibiotics\, and emerging evidence suggests that even our retinae are able to predict what we see. How? We explore some basic design principles for what causes a system to predict its input\, finishing with a call to arms for mathematicians to develop a better framework for understanding input-dependent dynamical systems or recurrent networks. \nProf. Marzen is Assistant Professor of Physics at Claremont’s Keck Science Department. URL:https://colleges.claremont.edu/ccms/event/prof-sarah-marzen/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201109T150000 DTEND;TZID=America/Los_Angeles:20201109T160000 DTSTAMP:20260405T023424 CREATED:20200813T015750Z LAST-MODIFIED:20201029T042740Z UID:1947-1604934000-1604937600@colleges.claremont.edu SUMMARY:Applied Math Seminar: Multiscale analysis and high-order schemes for nonlinear multilevel Maxwell-Bloch equations given by Prof. Qing Xia (Rensselaer Polytechnic Institute) DESCRIPTION:In this talk\, we will present a recent study of the\nMaxwell-Bloch equations that model the nonlinear interactions of light and\nmatter\, where the light is modeled classically by the Maxwell’s equations\nwith dispersions and the medium is modeled quantum-mechanically by the\nmultilevel rate equations. We will show the connection between rate\nequations and the density matrix\, where the former formulation is widely\nused in the engineering community and the latter in the Physics\nliterature. A multiscale analysis of the Maxwell-Bloch equations based on\nasymptotic expansions will also be discussed. The resulting reduced\nenvelope equations (or slow equations) capture amplitude dynamics of the\nunderlying solutions accurately and efficiently. In addition\, we will talk\nabout high-order accurate numerical schemes based on finite difference\napproximations in space and modified equation approach in time. The\nproposed schemes allow point-wise update of the solutions for both single\ndomains and domains with material interfaces\, thus enabling superb\nparallelism for arbitrary geometry. This is joint work with A. V.\nKildishev and L. J. Prokopeva from Purdue’s Birck Nanotechnology Center\,\nand J. W. Banks\, W. D. Henshaw\, G. Kovacic and D. W. Schwendeman from RPI. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-give-by-prof-qing-xia-rensselaer-polytechnic-institute/ LOCATION:Zoom CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201111T161500 DTEND;TZID=America/Los_Angeles:20201111T171500 DTSTAMP:20260405T023424 CREATED:20200820T205435Z LAST-MODIFIED:20201102T180630Z UID:1992-1605111300-1605114900@colleges.claremont.edu SUMMARY:Prof. Eva Kanso DESCRIPTION:Title: Sea star locomotion \nAbstract: The oral surface of sea stars (starfish) is lined with arrays of tube feet that enable them to achieve highly controlled locomotion on various terrains and to even gallop and bounce. The activity of the tube feet is orchestrated by a nerve net that is distributed throughout the body; there is no central brain. How such a decentralized nervous system produces a coordinated locomotion is yet to be understood. To examine the sensorimotor control underlying the sea star locomotory behavior\, we developed mathematical models of the biomechanics and sensorimotor control of the tube feet. In these models\, the feet are soft actuators that are coupled mechanically through their structural connection to the sea star body\, and whose power and recovery strokes are dictated by local sensori-feedback control loops. We found that these minimally-coupled tube feet coordinate to generate robust forward locomotion\, reminiscent of the crawling motion of sea stars. We also found that the sea star model can transition from crawling to bouncing\, and it can robustly locomote on various terrains\, and under various heterogeneity in the tube feet parameters and initial conditions\, akin to experimental observations. These findings improve our understanding of the Echinoderms decentralized nervous system and could lead to novel designs and control rules for autonomous robotic systems. \nProf. Eva Kanso is a Professor and the Z.H. Kaprielian Fellow in Aerospace and Mechanical Engineering at the University of Southern California. URL:https://colleges.claremont.edu/ccms/event/prof-eva-kanso/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201118T161500 DTEND;TZID=America/Los_Angeles:20201118T173000 DTSTAMP:20260405T023424 CREATED:20200917T150401Z LAST-MODIFIED:20201109T195216Z UID:2033-1605716100-1605720600@colleges.claremont.edu SUMMARY:Prof. Gregory DeAngelo DESCRIPTION:Title: The Effect of Criminal Justice Decisions on Community Safety \nAbstract: During this talk we will\, time permitting\, examine several law enforcement actor’s impact on community safety\, including law enforcement\, prosecutors and judges. To start\, we examine the impact of law enforcement race and gender on use of force. We first show that conditioning on arrests has the potential to greatly impact the results obtained. Instead\, we make use of an instrumental variable approach to examine the as-if random assignment of officers to calls for service. Leveraging this randomness\, we identify the effect of officer race and gender on the likelihood that force is used during the call. Next\, we focus our attention on prosecutors and leverage a unique situation where prosecutors are no longer able to pursue low-level drug charges. In the absence of such charges\, we examine the impact of not prosecuting low-level drug offenses on drug overdoses and drug abuse admissions. Finally\, we examine the effect of an exogenous increase in judge salaries on the likelihood that cases are overturned on appeal. \nProf. Gregory DeAngelo is an Associate Professor of Economic Sciences at the Claremont Graduate University URL:https://colleges.claremont.edu/ccms/event/prof-gregory-deangelo/ LOCATION:CA CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20201123T150000 DTEND;TZID=America/Los_Angeles:20201123T160000 DTSTAMP:20260405T023424 CREATED:20200813T053915Z LAST-MODIFIED:20201008T184544Z UID:1958-1606143600-1606147200@colleges.claremont.edu SUMMARY:Social hour DESCRIPTION:Join us for a social hour with applied mathematicians at Claremont Colleges and University of Utah. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-professor-alan-e-lindsay/ LOCATION:CA CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210125T150000 DTEND;TZID=America/Los_Angeles:20210125T160000 DTSTAMP:20260405T023424 CREATED:20210112T173655Z LAST-MODIFIED:20210112T174359Z UID:2092-1611586800-1611590400@colleges.claremont.edu SUMMARY:Applied math. talk: Minimization of the first nonzero eigenvalue problem for two-phase conductors with Neumann boundary conditions by Chiu-Yen Kao\, CMC DESCRIPTION:Abstract: We consider the problem of minimizing the first nonzero eigenvalue of an elliptic operator with Neumann boundary conditions with respect to the distribution of two conducting materials with a prescribed area ratio in a given domain. In one dimension\, we show monotone properties of the first nonzero eigenvalue with respect to various parameters and find the optimal distribution of two conducting materials on an interval under the assumption that the region that has lower conductivity is simply connected. On a rectangular domain in two dimensions\, we show that the strip configuration of two conducting materials can be a local minimizer. For general domains\, we propose a rearrangement algorithm to find the optimal distribution numerically. Many results on various domains are shown to demonstrate the efficiency and robustness of the algorithms. Topological changes of the optimal configurations are discussed on circles\, ellipses\, annuli\, and L-shaped domains. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-minimization-of-the-first-nonzero-eigenvalue-problem-for-two-phase-conductors-with-neumann-boundary-conditions-by-chiu-yen-kao-cmc/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210127T161500 DTEND;TZID=America/Los_Angeles:20210127T171500 DTSTAMP:20260405T023424 CREATED:20210116T015906Z LAST-MODIFIED:20210116T015950Z UID:2132-1611764100-1611767700@colleges.claremont.edu SUMMARY:CCMS Field Meeting DESCRIPTION:Hosted by David Bachman. This is a time for us to welcome each other back from break\, share any news relevant to mathematics in Claremont\, and break out into smaller discipline-specific groups to coordinate future course rotations. URL:https://colleges.claremont.edu/ccms/event/ccms-field-meeting/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210201T150000 DTEND;TZID=America/Los_Angeles:20210201T160000 DTSTAMP:20260405T023424 CREATED:20210112T175201Z LAST-MODIFIED:20210126T180607Z UID:2098-1612191600-1612195200@colleges.claremont.edu SUMMARY:Applied math. talk: Searching for singularities in Navier-Stokes flows using variational optimization methods by Di Kang\, McMaster University\, Canada DESCRIPTION:Abstract: In the presentation we will discuss our research program\nconcerning the search for the most singular behaviors possible in viscous\nincompressible flows. These events are characterized by extremal growth of \nvarious quantities\, such as the enstrophy\, which control the regularity of the solution. \nThey are therefore intimately related to the question of possible singularity formation \nin the 3D Navier-Stokes system\, known as the\nhydrodynamic blow-up problem. We demonstrate how new insights\nconcerning such questions can be obtained by formulating them as\nvariational PDE optimization problems which can be solved\ncomputationally using suitable discrete gradient flows. More\nspecifically\, such an optimization formulation allows one to identify\n"extreme" initial data which\, subject to certain constraints\, leads to\nthe most singular flow evolution. In offering a systematic approach\nto finding flow solutions which may saturate known estimates\, the\nproposed paradigm provides a bridge between mathematical analysis and\nscientific computation. In particular\, it makes it possible to\ndetermine whether or not certain mathematical estimates are "sharp"\,\nin the sense that they can be realized by actual vector fields\, or if\nthese estimates may still be improved. In the presentation we will\nreview a number of results concerning 1D and 2D flows characterized by\nthe maximum possible growth of different Sobolev norms of the\nsolutions. As regards 3D flows\, we focus on the enstrophy which is a\nwell-known indicator of the regularity of the solution. We find a family of initial \ndata with fixed enstrophy which leads to the largest possible growth of this quantity \nat some prescribed final time. Since even with such worst-case initial data the\nenstrophy remains finite\, this indicates that the 3D Navier-Stokes\nsystem reveals no tendency for singularity formation in finite time.\n\n[joint work with Dongfang Yun and Bartosz Protas] URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-searching-for-singularities-in-navier-stokes-flows-using-variational-optimization-methods-by-di-kang-mcmaster-university-canada/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210203T161500 DTEND;TZID=America/Los_Angeles:20210203T173000 DTSTAMP:20260405T023424 CREATED:20210116T020731Z LAST-MODIFIED:20210118T155305Z UID:2138-1612368900-1612373400@colleges.claremont.edu SUMMARY:Prof. Heather Zinn-Brooks DESCRIPTION:Title: Networks in social systems \nAbstract: The spread of memes and misinformation on social media\, political redistricting\, interactions in animal populations\, and the dynamics of voters during elections are among the many things that people study in the field of complex systems. All of these phenomena involve the interactions of individual parts\, which come together to produce rich\, complex collective dynamics. Obtaining a better understanding of how these interacting parts–whether they are Twitter accounts\, penguins\, or voters–respond to each other and to their environment also has potentially important implications for society. In this talk\, I will discuss how complex social systems can be modeled and analyzed from a network-theory perspective. We will investigate various network properties and highlight common themes that appear across different social networks. To gain insight into why certain properties emerge\, I will introduce several generative mathematical models of networks. Finally\, we will discuss some generalizations of networks and exciting areas of current research. \nProfessor Zinn-Brooks teaches at Harvey Mudd College. URL:https://colleges.claremont.edu/ccms/event/prof-heather-zinn-brooks/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210208T150000 DTEND;TZID=America/Los_Angeles:20210208T160000 DTSTAMP:20260405T023424 CREATED:20210126T021149Z LAST-MODIFIED:20210201T225414Z UID:2147-1612796400-1612800000@colleges.claremont.edu SUMMARY:Applied Math. Talk: Complex Fluids in the Immersed Boundary Method: From Viscoelasticity to Blood Clots by Aaron Barrett\, Department of Mathematics\, University of Utah DESCRIPTION:The immersed boundary method was first developed in the 1970s to model the motion of heart valves and has since been utilized to study many different biological systems. While the IB method has seen countless modifications and advancements from the perspective of fluid-structure interaction\, the use of a Newtonian fluid model remains a fundamental component of many implementations. However\, many biological fluids exhibit non-Newtonian responses to stresses\, and as such\, a Newtonian fluid model falls short to fully describe the system. In this talk\, we will discuss models of two different systems: polymeric fluids and blood clotting\, and we will address the numerical challenges associated with each system. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-aaron-barrett-department-of-mathematics-university-of-utah/ LOCATION:CA CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210210T161500 DTEND;TZID=America/Los_Angeles:20210210T171500 DTSTAMP:20260405T023424 CREATED:20210116T020409Z LAST-MODIFIED:20210116T020409Z UID:2136-1612973700-1612977300@colleges.claremont.edu SUMMARY:Prof. Henry Schellhorn DESCRIPTION:Title: No-arbitrage pricing in a market for position on a multilane freeway\, with an application to lane changing \nAbstract: We introduce a trading mechanism allowing cars to change position in a multilane congested freeway by doing peer-to-peer transactions. For the car initiating the operation\, or incoming car\, the goal can be to increase speed\, to have less speed variability\, to join a platoon\, or to join an exit lane that is slower but full. We focus in this paper on the maneuver where the incoming car changes lanes by asking an adjacent car on a busy target lane (to the left or right) to slow down\, but we also consider the case where the incoming car asks the car in front of it to change lanes\, so that the incoming car takes its position but stays on the same lane. In both cases\, the incoming car pays a transaction fee.\nWe solve the microscopic problem of determining these transaction fees by (i) embedding the problem in a macroscopic model and (ii) determining lane prices by the no arbitrage condition. This no-arbitrage condition states that no future trajectory will always be better than all others in terms of both speed and money exchanged to change lanes. The terms “always better” has to be understood in a probabilistic sense: we analyze a stochastic model\, in order to include uncertainty in both the speed model and the driver decision. We highlight the advantages of no-arbitrage theory over a traditional expected utility maximization approach. First\, no-arbitrage pricing does not require any individual data\, whether on the driver’s risk-aversion\, preference of speed over money or increased safety\, or final destination. Second\, the macroscopic model that we use considers endogeneously the global impact of any individual priced transaction\, as opposed to local models that require extraneous assumptions on the road conditions after the transaction.\nWe implemented a simple case of our lane change model. After simulating it extensively\, we implemented it in real-time\, with 2 cars trading position on a freeway using macroscopic speed information to determine the transaction fee. \nProf. Schellhorn is Professor of Mathematics and Academic Director of the Financial Engineering Program at Claremont Graduate University. URL:https://colleges.claremont.edu/ccms/event/prof-henry-schellhorn/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210215T150000 DTEND;TZID=America/Los_Angeles:20210215T160000 DTSTAMP:20260405T023424 CREATED:20210114T013414Z LAST-MODIFIED:20210127T210557Z UID:2120-1613401200-1613404800@colleges.claremont.edu SUMMARY:Applied Math. Talk: Modeling and Simulation of Ultrasound-mediated Drug Delivery to the Brain by Peter Hinow\, University of Wisconsin\, Milwaukee DESCRIPTION:We use a mathematical model to describe the delivery of a drug to a specific region of the brain. The drug is carried by liposomes that can release their cargo by application of focused ultrasound. Thereupon\, the drug is absorbed through the endothelial cells that line the brain capillaries and form the physiologically important blood-brain barrier. We present a compartmental model of a capillary that is able to capture the complex binding and transport processes the drug undergoes in the blood plasma and at the blood-brain barrier. We apply this model to the delivery of L-dopa\, (used to treat Parkinson’s disease) and doxorubicin (an anticancer agent). The goal is to optimize the delivery of drug while at the same time minimizing possible side effects of the ultrasound. In a second project\, we present a mathematical model for drug delivery through capillary networks with increasingly complex topologies with the goal to understand the scaling behavior of model predictions on a coarse-to-fine sequence of grids. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-peter-hinow-university-of-wisconsin-milwaukee/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210217T161500 DTEND;TZID=America/Los_Angeles:20210217T171500 DTSTAMP:20260405T023424 CREATED:20210116T021143Z LAST-MODIFIED:20210204T000155Z UID:2140-1613578500-1613582100@colleges.claremont.edu SUMMARY:Dr. Homan Igehy DESCRIPTION:Title: Quantitative Investment and Modern Portfolio Theory \nAbstract:\nInvestment strategies come in many flavors. Quantitative strategies incorporate or fully direct investment based on mathematical models. One of the cornerstones of investment is portfolio management\, and modern portfolio theory can serve as a basis for quantitative portfolio management. In this talk\, we will discuss quantitative investing and how modern portfolio theory can be incorporated into it. We’ll take an intuitive approach toward understanding modern portfolio theory and discuss how it can (at times\, spectacularly) go wrong. \nHoman Igehy is a managing director of D. E. Shaw & Co.\, L.P. and a member of the D. E. Shaw group’s Systematic Futures trading unit. In that capacity\, Dr. Igehy contributes to the research and development of forecast models and the technical infrastructure supporting the unit’s research efforts. He joined the D. E. Shaw group in 2003. Dr. Igehy received a B.S. and Ph.D.\, each in computer science\, from Stanford University. URL:https://colleges.claremont.edu/ccms/event/dr-homan-igehy/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210222T150000 DTEND;TZID=America/Los_Angeles:20210222T160000 DTSTAMP:20260405T023424 CREATED:20210112T175752Z LAST-MODIFIED:20210213T053831Z UID:2102-1614006000-1614009600@colleges.claremont.edu SUMMARY:Applied math. talk: Heatmap centrality: a new measure to identify super-spreader nodes in scale-free networks by Christina Duron\, the University of Arizona DESCRIPTION:Abstract: The identification of potential super-spreader nodes within a network is a critical part of the study and analysis of real-world networks. Motivated by a new interpretation of the “shortest path” between two nodes\, this talk will explore the properties of the recently proposed measure\, the heatmap centrality\, by comparing the farness of a node with the average sum of farness of its adjacent nodes in order to identify influential nodes within the network. As many real-world networks are often claimed to be scale-free\, numerical experiments based upon both simulated and real-world undirected and unweighted scale-free networks are used to illustrate the effectiveness of the new “shortest path” based measure with regards to its CPU run time and ranking of influential nodes. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-heatmap-centrality-a-new-measure-to-identify-super-spreader-nodes-in-scale-free-networks-by-christina-duron-the-university-of-arizona/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210224T161500 DTEND;TZID=America/Los_Angeles:20210224T173000 DTSTAMP:20260405T023424 CREATED:20210116T021257Z LAST-MODIFIED:20210209T220719Z UID:2142-1614183300-1614187800@colleges.claremont.edu SUMMARY:Prof. Lori Ziegelmeier DESCRIPTION:Title: Using Topology to Measure Shape in Data \nAbstract: Data of various kinds is being collected at an enormous rate\, and in many different forms. Often\, the data are equipped with a notion of distance that reflects similarity in some sense. Using this similarity measure\, certain topological features–e.g. the number of connected components\, loops\, and trapped volumes–can be ascertained and can provide insight into the structure of these complex data sets. In this talk\, I will introduce topology and a fundamental tool of topological data analysis\, persistent homology. Then\, we will see how these tools can be used for clustering\, with machine learning\, and to explain features in data. In particular\, we will discuss (1) using persistence to explore the relationship between country development and geography\, (2) vectorizing persistence information via a persistence image to analyze the discrete dynamical system of the linked twist map\, and (3) explore notions of minimal generators to extract geometric meaning from homological features. \nDr. Ziegelmeier is an Associate Professor at Macalester College. URL:https://colleges.claremont.edu/ccms/event/prof-lori-ziegelmeier/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210301T150000 DTEND;TZID=America/Los_Angeles:20210301T160000 DTSTAMP:20260405T023424 CREATED:20210112T180006Z LAST-MODIFIED:20210210T190755Z UID:2104-1614610800-1614614400@colleges.claremont.edu SUMMARY:Applied math. talk: Blowup rate estimates of a singular potential in the Landau-de Gennes theory for liquid crystals by Xiang Xu\, Old Dominion University. DESCRIPTION:Abstract: The Landau-de Gennes theory is a type of continuum theory that\ndescribes nematic liquid crystal configurations in the framework of the\nQ-tensor order parameter. In the free energy\, there is a singular bulk\npotential which is considered as a natural enforcement of a physical\nconstraint on the eigenvalues of symmetric\, traceless Q-tensors. In this\ntalk we shall discuss some analytic properties related to this singular\npotential. More specifically\, we provide precise estimates of both this\nsingular potential\nand its gradient as the Q-tensor approaches its physical boundary. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-xiang-xu-old-dominion-university/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210303T161500 DTEND;TZID=America/Los_Angeles:20210303T173000 DTSTAMP:20260405T023424 CREATED:20210204T003334Z LAST-MODIFIED:20210221T214207Z UID:2166-1614788100-1614792600@colleges.claremont.edu SUMMARY:Ioana Dumitriu DESCRIPTION:Title: Spectral gap in random regular graphs and hypergraphs \nAbstract: Random graphs and hypergraphs have been used for decades to model large-scale networks\, from biological\, to electrical\, and to social. Various random graphs (and their not-so-random properties) have been connected to algorithms solving problems from community detection to matrix completion\, coding theory\, and various other statistics / machine learning fundamental questions; in the past decade\, this research area has expanded to include random hypergraphs. One of these special properties is the spectral gap for graph-associated matrices; roughly speaking\, it means that the main eigenvalue(s) are well-separated from the bulk and it guarantees strong connectivity properties. This talk will take a look at the spectra of adjacency / Laplacian matrices for some random regular models\, explain how we know that the spectral gap is there\, and connect spectral properties to the aforementioned applications. It will cover joint work with Gerandy Brito\, Kameron Decker Harris\, and Yizhe Zhu. \nIoana Dumitriu is a Professor of Mathematics at The University of California\, San Diego. URL:https://colleges.claremont.edu/ccms/event/ioana-dumitru/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210308T150000 DTEND;TZID=America/Los_Angeles:20210308T160000 DTSTAMP:20260405T023424 CREATED:20210112T180325Z LAST-MODIFIED:20210223T174630Z UID:2106-1615215600-1615219200@colleges.claremont.edu SUMMARY:Applied math. talk: Optimal control of the SIR model in the presence of transmission and treatment uncertainty by Henry Schellhorn\, CGU DESCRIPTION:Abstract \nThe COVID-19 pandemic illustrates the importance of treatment-related decision making in populations. This article considers the case where the transmission rate of the disease as well as the efficiency of treatments is subject to uncertainty. We consider two different regimes\, or submodels\, of the stochastic SIR model\, where the population consists of three groups: susceptible\, infected and recovered. In the first regime the proportion of infected is very low\, and the proportion of susceptible is very close to 100%.  This corresponds to a disease with few deaths and where recovered individuals do not acquire immunity. In a second regime\, the proportion of infected is moderate\, but not negligible. We show that the first regime corresponds almost exactly to a well-known problem in finance\, the problem of portfolio and consumption decisions under mean-reverting returns (Wachter\, JFQA 2002)\, for which the optimal control has an analytical solution. We develop a perturbative solution for the second problem. To our knowledge\, this paper represents one of the first attempts to develop analytical/perturbative solutions\, as opposed to numerical solutions to stochastic SIR models. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-optimal-control-of-the-sir-model-in-the-presence-of-transmission-and-treatment-uncertainty-by-henry-schellhorn-cgu/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210315T150000 DTEND;TZID=America/Los_Angeles:20210315T160000 DTSTAMP:20260405T023424 CREATED:20210114T012637Z LAST-MODIFIED:20210114T012637Z UID:2118-1615820400-1615824000@colleges.claremont.edu SUMMARY:Applied Math. Talk: by a guest University of UTAH DESCRIPTION:TBA URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-a-guest-university-of-utah/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210317T161500 DTEND;TZID=America/Los_Angeles:20210317T173000 DTSTAMP:20260405T023424 CREATED:20210204T003526Z LAST-MODIFIED:20210312T000508Z UID:2168-1615997700-1616002200@colleges.claremont.edu SUMMARY:Finding soap films in non-Euclidean geometry (Prof. David Bachman) DESCRIPTION:Title: Finding soap films in non-Euclidean geometry \nAbstract: In many computer graphics applications we approximate a smooth surface with one made up of tiny triangles. A common problem is to determine which way to move the vertices (the corners of the triangles)\, so that the total surface area decreases. If the boundary of the surface remains fixed\, this allows us to find the soap film surface spanned by that boundary curve. In Euclidean geometry this leads to the famous “cotan-Laplace formula.” After reviewing this formula we will introduce spherical and hyperbolic space\, and discuss a solution to the same problem in those geometries. \nDr. Bachman is Professor of Mathematics at Pitzer College and Director of the Claremont Center for the Mathematical Sciences. URL:https://colleges.claremont.edu/ccms/event/david-bachman/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210322T150000 DTEND;TZID=America/Los_Angeles:20210322T160000 DTSTAMP:20260405T023424 CREATED:20210112T180523Z LAST-MODIFIED:20210317T211201Z UID:2108-1616425200-1616428800@colleges.claremont.edu SUMMARY:Applied math. talk: Periodic travelling waves in nonlinear wave equations: modulation instability and rogue waves by Dmitry Pelinovsky\, McMaster University\, Canada DESCRIPTION:Abstract:     I will overview the following different wave phenomena in\nintegrable nonlinear wave equations: \n(1) universal patterns in the dynamics of fluxon condensates in the\nsemi-classical limit;\n(2) modulational instability of periodic travelling waves;\n(3) rogue waves on the background of periodic and double-periodic waves. \nMain examples include the sine-Gordon equation\, the nonlinear\nSchroedinger equation\, and the derivative nonlinear Schroedinger\nequation. For the latter equation\, in collaboration with Jinbing Chen\n(South East University\, China) and Jeremy Upsal (University of\nWashington\, USA)\, we adapted the method of nonlinearization of the Lax\nsystem in order to characterize the existence and modulation stability\nof periodic travelling waves. We give precise information on the\nlocation of Lax and stability spectra\, with assistance of numerical\npackage based on the so-called Hill’s method. Particularly interesting\noutcome is the explicit relation between the onset of modulation\ninstability and the existence of a rogue wave (localized solution in\nspace and time) on the background of periodic travelling waves. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-periodic-travelling-waves-in-nonlinear-wave-equations-modulation-instability-and-rogue-waves-by-dmitry-pelinovsky-mcmaster-university-canada/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210324T161500 DTEND;TZID=America/Los_Angeles:20210324T173000 DTSTAMP:20260405T023424 CREATED:20210204T004055Z LAST-MODIFIED:20210312T000436Z UID:2170-1616602500-1616607000@colleges.claremont.edu SUMMARY:Our muscles aren't one-dimensional fibres (Prof. Nilima Nigam) DESCRIPTION:Title: Our muscles aren’t one-dimensional fibres. \nAbstract: Skeletal muscles possess rather amazing mechanical properties. They possess an intricate structure\, and behave nonlinearly in response to mechanical stresses. In the 1910s\, A.V. Hill observed muscles heat when they contract\, but not when they relax. Based on experiments on frogs he posited a mathematical description of skeletal muscles which approximated muscle as a 1-dimensional nonlinear and massless spring. This has been a remarkably successful model\, and remains in wide use. Recently\, we’ve realized that skeletal muscle is three dimensional\, has mass\, and fairly complicated structure. I’ll present some work on a mathematical model which captures some of this complexity. \nDr. Nilima Nigam is Professor at Simon Fraser University. URL:https://colleges.claremont.edu/ccms/event/nilima-nigam/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210329T150000 DTEND;TZID=America/Los_Angeles:20210329T160000 DTSTAMP:20260405T023424 CREATED:20210113T011843Z LAST-MODIFIED:20210325T164523Z UID:2115-1617030000-1617033600@colleges.claremont.edu SUMMARY:Applied math. talk: Hyperbolicity-Preserving Stochastic Galerkin Method for Shallow Water Equations by Dihan Dai\, Department of Mathematics\, University of Utah DESCRIPTION:Abstract: The system of shallow water equations and related models are\nwidely used in oceanography to model hazardous phenomena such as tsunamis\nand storm surges. Unfortunately\, the inherent uncertainties in the system\nwill inevitably damage the credibility of decision-making based on the\ndeterministic model. The stochastic Galerkin (SG) method seeks a solution\nby applying the Galerkin method to the stochastic domain of the equations\nwith uncertainty. However\, the resulting system may fail to preserve the\nhyperbolicity of the original model. In this talk\, we will discuss a\nstrategy to preserve the hyperbolicity of the stochastic systems. We will\nalso discuss a well-balanced hyperbolicity-preserving central-upwind\nscheme for the random shallow water equations and illustrate the\neffectiveness of our schemes on some challenging numerical tests. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-dihan-dai-department-of-mathematics-university-of-utah/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210331T161500 DTEND;TZID=America/Los_Angeles:20210331T173000 DTSTAMP:20260405T023424 CREATED:20210204T004224Z LAST-MODIFIED:20210312T000546Z UID:2172-1617207300-1617211800@colleges.claremont.edu SUMMARY:An ideal convergence: an example in noncommutative metric geometry (Prof. Konrad Aguilar) DESCRIPTION:Title: An ideal convergence: an example in noncommutative metric geometry \nAbstract: \nThe ability to calculate the distance between sets (rather than just distance between points) has found applications in geometry and group theory as well as various branches of applied mathematics. The Hausdorff distance and the Gromov-Hausdorff distance are standard distances used in these applications. Moreover\, a certain generalization of the Gromov-Hausdorff distance called the quantum Gromov-Hausdorff distance was built by M. A. Rieffel to answer some questions from physics about operator algebras\, which are generalizations of algebras of complex-valued square matrices. In another direction\, J.M.G. Fell introduced a notion of convergence of ideals of a given operator algebra. Can the quantum Gromov-Hausdorff distance also be used to establish convergence of the associated quotient algebras? We discuss this for certain operator algebras called approximately finite-dimensional (AF) C*-algebras\, which can be represented by infinite graphs called Bratteli diagrams where the ideals and quotients are represented by subgraphs. It is the movement of the quotient graphs with respect to the ideal graphs that motivates our question and its answer. The main example we discuss will be given by graph representations of irrational numbers built by their associated continued fractions. (This talk contains joint work with Samantha Brooker\, Frédéric Latrémolière\, and Alejandra López). \nProfessor Konrad Aguilar is Assistant Professor at Pomona College. URL:https://colleges.claremont.edu/ccms/event/konrad-aguilar/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210407T161500 DTEND;TZID=America/Los_Angeles:20210407T173000 DTSTAMP:20260405T023424 CREATED:20210204T004426Z LAST-MODIFIED:20210324T171332Z UID:2174-1617812100-1617816600@colleges.claremont.edu SUMMARY:Alexandria Volkening DESCRIPTION:Title:\nHow do zebrafish get their stripes — or spots? \nAbstract:\nMany natural and social systems involve individual agents coming together to create group dynamics\, whether the agents are drivers in a traffic jam\, voters in an election\, or locusts in a swarm. Self-organization also occurs at much smaller scales in biology\, though\, and here I will focus on elucidating how brightly colored cells interact to form skin patterns in fish. Because they are surprisingly similar to humans genetically\, we will investigate zebrafish\, which are named for their dark and light stripes. Mutant zebrafish\, on the other hand\, feature variable skin patterns\, including spots and labyrinth curves. All these patterns form as the fish grow due to the interactions of tens of thousands of pigment cells. This leads to the question: how do mutations change cell behavior to create spotted zebrafish? In this talk\, we will combine different modeling approaches (including agent-based and continuum) and topological data analysis to help shed light on this question. More broadly\, we will explore how a combination of biological and mathematical approaches are being used to better understand how genes\, cell behavior\, and visible animal characteristics are related in fish. \nDr. Volkening is an NSF-Simons Fellow at the NSF-Simons Center for Quantitative Biology at Northwestern University URL:https://colleges.claremont.edu/ccms/event/alexandria-volkening/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210412T150000 DTEND;TZID=America/Los_Angeles:20210412T160000 DTSTAMP:20260405T023424 CREATED:20210112T180713Z LAST-MODIFIED:20210406T193121Z UID:2110-1618239600-1618243200@colleges.claremont.edu SUMMARY:Applied math. talk: Large Eddy Simulation Reduced Order Models by Traian Iliescu\, Virginia Tech DESCRIPTION:In this talk\, we present reduced order models (ROMs) for turbulent flows\,\nwhich are constructed by using ideas from large eddy simulation (LES) and\nvariational multiscale (VMS) methods.  First\, we give a\ngeneral introduction to reduced order modeling and emphasize the\nconnection to classical Galerkin methods (e.g.\, the finite element method)\nand the central role played by data.  Then\, we describe the closure\nproblem\, which represents one of the main obstacles in the development of\nROMs for realistic\, turbulent flows.  To tackle the ROM closure problem\,\nwe use ROM spatial filters (e.g.\, the ROM projection and the ROM\ndifferential filter) and build new LES-ROMs that capture the large scale\nROM features and model the interaction between these large scales and the\nsmall scale ROM features. Finally\, we present results for these LES-ROMs\nin the numerical simulation of\nunder-resolved engineering flows (e.g.\, flow past a cylinder and\nturbulent channel flow) and the quasi-geostrophic equations (which model\nthe large scale ocean circulation). URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-traian-iliescu-virginia-tech/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210414T161500 DTEND;TZID=America/Los_Angeles:20210414T173000 DTSTAMP:20260405T023424 CREATED:20210204T004536Z LAST-MODIFIED:20210326T180738Z UID:2176-1618416900-1618421400@colleges.claremont.edu SUMMARY:Jennifer Taback DESCRIPTION:Title: Groups\, Graphs and Trees \nAbstract: What do we mean by the geometry of a group? Groups seem like very abstract objects when we first study them\, and it’s natural to ask whether we can visualize them in some way. Given a group with a finite set of generators and relators\, I will describe a canonical way to construct a geometric model of that group\, called a Cayley graph. We will see many examples — both standard and unusual — and I will discuss some fundamental questions from the field of geometric group theory\, including whether this geometric model is well defined. One goal of this field of mathematics is to use the geometry of a group to provide insight into its algebraic structure\, and to use the algebraic properties of a group to draw conclusions about its geometry. This will be a very visual talk\, involving many examples of groups\, graphs\, and trees. \nDr. Jennifer Taback is Isaac Henry Wing Professor and Chair of the Mathematics Department at Bowdoin College. URL:https://colleges.claremont.edu/ccms/event/jennifer-taback/ LOCATION:Zoom CATEGORIES:Colloquium ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu END:VEVENT END:VCALENDAR