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-WR-CALNAME:Claremont Center for the Mathematical Sciences X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences 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:20180311T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20181104T090000 END:STANDARD 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 END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190506T161500 DTEND;TZID=America/Los_Angeles:20190506T171500 DTSTAMP:20260408T230002 CREATED:20190129T211242Z LAST-MODIFIED:20190419T064038Z UID:1181-1557159300-1557162900@colleges.claremont.edu SUMMARY:Applied math seminar: Topological descriptions of protein folding (Helen Wong\, CMC) DESCRIPTION:Knotting in proteins was once considered exceedingly rare.  However\, systematic analyses of solved protein structures over the last two decades have demonstrated the existence of many deeply knotted proteins\, and researchers now hypothesize that the knotting presents some functional or evolutionary advantage for those proteins. \n  \nUnfortunately\, there is very little known (whether experimentally\, through computer simulations\, or theoretically) about how proteins fold into knotted configurations.  In this talk\, we will discuss some of the theorized pathways from a topological point of view.  In particular\, we propose a new theoretical pathway for protein knotting and determine its feasibility for certain families of  proteins. URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-helen-wong/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190507T121500 DTEND;TZID=America/Los_Angeles:20190507T131000 DTSTAMP:20260408T230002 CREATED:20190218T180910Z LAST-MODIFIED:20190430T205116Z UID:1218-1557231300-1557234600@colleges.claremont.edu SUMMARY:Notions of stability in algebraic geometry (Jason Lo\, CSUN) DESCRIPTION:One of the main drivers of current research in geometry is the classification of Calabi-Yau threefolds.  Towards this effort\, a particular approach in algebraic geometry is via the study of stability conditions.  In this talk\, I will explain what constitutes a notion of stability in algebraic geometry\, and what the challenges are in studying them. URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-jason-lo-csun/ LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Algebra / Number Theory / Combinatorics Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190909T161500 DTEND;TZID=America/Los_Angeles:20190909T171500 DTSTAMP:20260408T230002 CREATED:20190722T184424Z LAST-MODIFIED:20190722T184424Z UID:1345-1568045700-1568049300@colleges.claremont.edu SUMMARY:Applied Math Seminar: Organizational meeting DESCRIPTION:As titled URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-organizational-meeting-2/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190910T121500 DTEND;TZID=America/Los_Angeles:20190910T131000 DTSTAMP:20260408T230002 CREATED:20190522T000934Z LAST-MODIFIED:20190909T032954Z UID:1333-1568117700-1568121000@colleges.claremont.edu SUMMARY:Frobenius problem over number fields (Lenny Fukshansky\, CMC) DESCRIPTION:The classical Frobenius problem asks for the largest integer not representable as a non-negative integer linear combination of a relatively prime integer n-tuple. This problem and its various generalizations have been studied extensively in combinatorics\, number theory\, algebra\, theoretical computer science and probability theory. In this talk\, we will consider a reformulation of this problem in the context of number fields\, which leads to some arithmetic questions about semigroups of algebraic integers and height functions. This is joint work with CMC student Edward Shi. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-mauricio-gomez-lopez-univ-oregon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190911T161500 DTEND;TZID=America/Los_Angeles:20190911T171500 DTSTAMP:20260408T230002 CREATED:20190826T222708Z LAST-MODIFIED:20190910T210346Z UID:1383-1568218500-1568222100@colleges.claremont.edu SUMMARY:Poster Session Fall 2019 DESCRIPTION:CLAREMONT CENTER for MATHEMATICAL SCIENCES\nFall 2019 Poster Session \nClick here for poster abstracts. URL:https://colleges.claremont.edu/ccms/event/poster-session-fall-2019/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium,Special Event ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20190916T161500 DTEND;TZID=America/Los_Angeles:20190916T171500 DTSTAMP:20260408T230002 CREATED:20190719T151932Z LAST-MODIFIED:20190830T213728Z UID:1339-1568650500-1568654100@colleges.claremont.edu SUMMARY:Applied Math Seminar: A hybrid inverse problem in the fluorescence ultrasound modulated optical tomography given by Yimin Zhong (UCI) DESCRIPTION:We investigate a hybrid inverse problem in fluorescence ultrasound modulated optical tomography (fUMOT) in the diffusive regime. We prove that the boundary measurement of the\nphoton currents allows unique and stable reconstructions of the absorption coefficient of the fluorophores at the excitation frequency and the quantum efficiency coefficient simultaneously\, provided\nthat some background medium parameters are known. Reconstruction algorithms are proposed and\nnumerically implemented as well. URL:https://colleges.claremont.edu/ccms/event/yimin-zhong-uci/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190917T121500 DTEND;TZID=America/Los_Angeles:20190917T131000 DTSTAMP:20260408T230002 CREATED:20190910T234527Z LAST-MODIFIED:20190912T055110Z UID:1520-1568722500-1568725800@colleges.claremont.edu SUMMARY:Introduction to theory of Euclid graphs (Sin-Min Lee\, SJSU) DESCRIPTION:In Euclidean geometry\, the sum of  two sides of any  triangle is greater than the third side. We  introduce this idea to labeling of graphs. A (p\,q)-graph G=(V\,E) is said to be in Euclid(0) if there exists a bijection f: V(G) –> {1\,…\,p} such that for each induced C3 subgraph with vertices {v1\,v2\,v3} with f(v1)f(v3) . \nFor k > 1\, G is in Euclid(k) class of graphs if there exits smallest k such that G U Nk in Euclid(0)\, where Nk is the null graph with k isolated points. We exhibit infinitely many graphs in Euclid(k) for each k. The talk is target to general audiences. Several open problems will posed for future research. The report is the joint work with several high school\, undergraduate students and researchers. URL:https://colleges.claremont.edu/ccms/event/antc-talk-sin-min-lee-sjsu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190917T150000 DTEND;TZID=America/Los_Angeles:20190917T160000 DTSTAMP:20260408T230002 CREATED:20190909T215940Z LAST-MODIFIED:20190909T215940Z UID:1497-1568732400-1568736000@colleges.claremont.edu SUMMARY:Topology Seminar: Sam Nelson (CMC) DESCRIPTION:Title: Biquandle Brackets and Knotoids \nAbstract: Biquandle brackets are a type of quantum enhancement of the  biquandle counting invariant for oriented knots and links\, defined by a set of skein relations with coefficients which are functions of biquandle colors at a crossing. In this talk we use biquandle brackets to enhance the biquandle counting matrix invariant of knotoids. This is joint work with Neslihan Gugumcu (Izmir Institute of Technology\, Izmir\, Turkey) and Natsumi Oyamaguchi (Shumei University\, Tokyo\, Japan). URL:https://colleges.claremont.edu/ccms/event/topology-seminar-sam-nelson-cmc/ LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190918T161500 DTEND;TZID=America/Los_Angeles:20190918T171500 DTSTAMP:20260408T230002 CREATED:20190826T234337Z LAST-MODIFIED:20190913T173113Z UID:1386-1568823300-1568826900@colleges.claremont.edu SUMMARY:Data-driven multiscale modeling of cell fate dynamics DESCRIPTION:Cells make fate decisions in response to dynamic environmental and pathological stimuli as well as cell-to-cell communications. Recent technological breakthroughs have enabled to gather data in previously unthinkable quantities at single cell level\, starting to suggest that cell fate decision is much more complex\, dynamic\, and stochastic than previously recognized. Multiscale interactions\, sometimes through cell-cell communications\, play a critical role in cell decision making. Dissecting cellular dynamics emerging from molecular and genomic scale in single-cell demands novel computational tools and multiscale models. In this talk\, I will present our recent works on analyzing single cell molecular data\, and their connections with cellular and spatial tissue dynamics. Our mathematical approaches bring together optimization\, statistical physics\, ODEs/PDEs\, and stochastic simulations along with machine learning techniques. By utilizing our newly developed computational tools along with their close integrations with new datasets collected from our experimental collaborators\, we are able to investigate several complex systems during development and regeneration to uncover new mechanisms in cell fate determination. URL:https://colleges.claremont.edu/ccms/event/tba/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20190924T121500 DTEND;TZID=America/Los_Angeles:20190924T131000 DTSTAMP:20260408T230002 CREATED:20190813T023810Z LAST-MODIFIED:20190917T034004Z UID:1360-1569327300-1569330600@colleges.claremont.edu SUMMARY:Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk\, Brown University) DESCRIPTION:An “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics\, as well as helps to explore new areas of mathematics. After describing the basic structure of Adinkras\, I will discuss some of these interesting interactions between mathematics and physics.This talk is intended for a general mathematics audience; undergraduate students are welcome. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-jordan-kostiuk-brown-university/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20190925T161500 DTEND;TZID=America/Los_Angeles:20190925T171500 DTSTAMP:20260408T230002 CREATED:20190826T234507Z LAST-MODIFIED:20190924T204637Z UID:1388-1569428100-1569431700@colleges.claremont.edu SUMMARY:Why biologists cant stop saying single-cell and how this is a distinctly mathematical refrain DESCRIPTION:Single-cell genomics is a catch phrase for numerous new technologies and methods that allow for probing cells at genome scale. I will explain what this means and describe some examples that illustrate the excitement in this new domain. While single-cell genomics technologies draw on methods from a variety of disciplines such asf biology\, chemistry and engineering\, the interpretation of the data they generate requires concepts and tools from statistics\, computer science and mathematics. I will explain some of the connections with a view towards highlighting interesting solved and unsolved problems in the field. URL:https://colleges.claremont.edu/ccms/event/tba-5/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20191001T121500 DTEND;TZID=America/Los_Angeles:20191001T131000 DTSTAMP:20260408T230002 CREATED:20190824T031500Z LAST-MODIFIED:20191001T150201Z UID:1368-1569932100-1569935400@colleges.claremont.edu SUMMARY:Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty\, CUNY) DESCRIPTION:The classical\, one-boundary\, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as “diagram algebras”\, meaning that they have basis elements depicted as certain kinds of graphs\, and multiplication rules are given by stacking diagrams and gluing of vertices. In this talk\, we will explore these algebras and their representation theory\, as well as their relationship to other important diagram algebras in combinatorial representation theory. URL:https://colleges.claremont.edu/ccms/event/anct-seminar-zajj-daugherty-cuny/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191001T150000 DTEND;TZID=America/Los_Angeles:20191001T160000 DTSTAMP:20260408T230002 CREATED:20190825T192823Z LAST-MODIFIED:20190906T223333Z UID:1372-1569942000-1569945600@colleges.claremont.edu SUMMARY:Topology Seminar: Jesse Levitt (USC) DESCRIPTION:Title: Understanding Structure in the Single Variable Knot Polynomials \nAbstract: \nWe examine the dimensionality and internal structure of the aggregated data produced by the Alexander\, Jones\, and Z0 polynomials using topological data analysis and dimensional reduction techniques. By examining several families of knots\, including over 10 million distinct examples\, we find that the Jones data is well described as a three dimensional manifold\, the Z0 data as a single two dimensional manifold and the Alexander data as a collection of two dimensional manifolds. We confirm each of these structural results using two independent ‘big data’ techniques. The ability to consider knots in this manner illuminates several interesting relationships that I hope to discuss at the conclusion of the talk. This collects joint work with Mustafa Hajij and Radmila Sazdanovic. URL:https://colleges.claremont.edu/ccms/event/topology-seminar-jesse-levitt-usc/ LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Topology Seminar ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191002T161500 DTEND;TZID=America/Los_Angeles:20191002T171500 DTSTAMP:20260408T230002 CREATED:20190826T234640Z LAST-MODIFIED:20190928T054259Z UID:1390-1570032900-1570036500@colleges.claremont.edu SUMMARY:Freeways and Circle Packing DESCRIPTION:The beauty of mathematics is often encountered when one discovers that two apparently very different phenomena actually share a common origin. I will discuss such a surprising connection between two apparently unrelated mathematical objects. One is purely combinatorial: the number of ways one can drive from USC to the Claremont Colleges. The other one is geometric: the Ford circle packing\, a pretty configuration of circles in the plane with interesting number theoretic properties. URL:https://colleges.claremont.edu/ccms/event/tba-6/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20191004T160000 DTEND;TZID=America/Los_Angeles:20191004T170000 DTSTAMP:20260408T230002 CREATED:20190808T233920Z LAST-MODIFIED:20190919T220053Z UID:1353-1570204800-1570208400@colleges.claremont.edu SUMMARY:Regime transitions of liquid films flowing down a fiber (Applied Math Talk given by Prof. Claudia Falcon\, UCLA) DESCRIPTION:Recent  experiments  of  thin  films  flowing  down  a  vertical  fiber  with  varying  nozzle diameters present a wealth of new dynamics that illustrate the need for more advanced theory. Determining  the  regime  transitions from absolute (Rayleigh- Plateau) instability is useful in the  design  of  heat  and  mass  exchangers for applications that include cooling systems and desalination. We present a detailed analysis using a full lubrication model that includes slip boundary conditions\, nonlinear curvature terms\, and a film stabilization term. This study brings to focus the presence of a stable liquid layer playing an important role in the full dynamics. We propose a combination of these physical effects to explain the observed velocity  and  stability  of  traveling  droplets  in  the  experiments  and their  transition  to isolated droplets. When thermal gradients are present\, it can induce bead coalescence away from the nozzle. To account for this\, we incorporate spatial-dependent viscosity and surface tension to the model\, due  to  inhomogeneous  temperature  field  along  the  fiber. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-claudia-falcon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191005T100000 DTEND;TZID=America/Los_Angeles:20191005T120000 DTSTAMP:20260408T230002 CREATED:20190913T171044Z LAST-MODIFIED:20190913T171044Z UID:1541-1570269600-1570276800@colleges.claremont.edu SUMMARY:GEMS Workshop: Symmetry with Professor Michael Orrison\, from Harvey Mudd College DESCRIPTION:TOPIC: Symmetry \nSymmetry seems to be an important idea in mathematics\, but how do mathematicians think about symmetry? In this workshop\, we’ll talk about mathematical objects called groups\, see how they are used to describe symmetry\, and then put them to work to help us answer some nontrivial counting problems. \nWHAT IS GEMS: \nThe Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science. \nGEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM. \nGEMS is designed to reach 8th\, 9th and 10th grade students who have an interest in mathematics and science. \nParticipants interact with excellent and award winning faculty\, staff\, students and alumni from each of the seven Claremont Colleges. \nFALL 2019 DATES: \nOctober 5\, 2019 \nNovember 2\, 2019 \nDecember 7\, 2019 \nREGISTRATION: \nTo register for our next event on October 5\, please click on the following link: \nhttps://forms.gle/LySNdhqj782TkPFz9 \nANY QUESTIONS: \nPlease contact our 2019-2020 GEMS coordinator\, Josh Kiernan at joshua.kiernan@cgu.edu URL:https://colleges.claremont.edu/ccms/event/gems-workshop-symmetry-with-professor-michael-orrison-from-harvey-mudd-college/ LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States CATEGORIES:GEMS ORGANIZER;CN="Josh Kiernan":MAILTO:joshua.kiernan@cgu.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191007T163000 DTEND;TZID=America/Los_Angeles:20191007T173000 DTSTAMP:20260408T230002 CREATED:20190911T040840Z LAST-MODIFIED:20190930T185051Z UID:1528-1570465800-1570469400@colleges.claremont.edu SUMMARY:Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho \,UCR) DESCRIPTION:Recent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk\, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data\, dimension reduction techniques are applied to find the trajectories of cell states in the reduced differentiation space. Then\, we develop PDE models that describe the cell differentiation as directed and random movement on the abstracted graph or on the reduced space. Normal hematopoiesis differentiation and abnormal processes of acute myeloid leukemia (AML) progression are simulated\, and the model can predict the emergence of cells in novel intermediate states of differentiation consistent with immunophenotypic characterizations of AML. In addition\, we demonstrate that our model is capable to illustrate the reconstitution of impaired Hematopoiesis\, for instance\, after chemotherapy. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-heyrim-cho-ucr/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191008T121500 DTEND;TZID=America/Los_Angeles:20191008T131000 DTSTAMP:20260408T230002 CREATED:20190909T203312Z LAST-MODIFIED:20190909T203312Z UID:1495-1570536900-1570540200@colleges.claremont.edu SUMMARY:Matroids: a unified theory of independence (Mauricio Gomez Lopez\, University of Oregon) DESCRIPTION:In this talk\, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions of this theory\, I will discuss several examples of matroids and explain some connections with optimization. Also\, in this talk\, I will introduce matroid polytopes\, which provide a geometric framework for studying matroids. If time permits\, I will discuss some new proofs to known results that I developed with one of my students during a research program this summer. URL:https://colleges.claremont.edu/ccms/event/matroids-a-unified-theory-of-independence-mauricio-gomez-lopez-university-of-oregon/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191008T150000 DTEND;TZID=America/Los_Angeles:20191008T160000 DTSTAMP:20260408T230002 CREATED:20190909T230001Z LAST-MODIFIED:20190919T032450Z UID:1499-1570546800-1570550400@colleges.claremont.edu SUMMARY:Topology Seminar: Mauricio Gomez Lopez (U. Oregon) DESCRIPTION:Title: Cobordism Categories and Spaces of Manifolds. \nAbstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom\, which provided the first link between manifolds and homotopy theory. In more recent years\, there has been much focus on cobordism categories. These play a fundamental role in the study of topological quantum field theories and automorphism groups of manifolds.  A fundamental result in this field is the theorem of Galatius\, Madsen\, Tillmann\, and Weiss\, which describes the homotopy type of the classifying spaces of smooth cobordism categories. Galatius and Randal-Williams later simplified the proof of this result with the use of spaces of manifolds and scanning techniques. Besides giving an overview of this field of research\, I will discuss the analogs of the theorem of Galatius\, Madsen\, Tillmann\, and Weiss for topological and PL manifolds. The topological case is joint work with Alexander Kupers. URL:https://colleges.claremont.edu/ccms/event/topology-seminar-mauricio-gomez-lopez-u-oregon/ LOCATION:CA CATEGORIES:Topology Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191009T161500 DTEND;TZID=America/Los_Angeles:20191009T171500 DTSTAMP:20260408T230002 CREATED:20190826T234829Z LAST-MODIFIED:20191004T182414Z UID:1392-1570637700-1570641300@colleges.claremont.edu SUMMARY:Formal geometry and characteristic classes DESCRIPTION:I plan to explain how a purely algebraic technique involving Lie Algebra Cohomology can be used to construct standard characteristic classes of vector bundles and foliations (in fact\, it could be tweaked to give most characteristic classes in differential and complex geometry). URL:https://colleges.claremont.edu/ccms/event/tba-7/ LOCATION:CA CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191014T161500 DTEND;TZID=America/Los_Angeles:20191014T171500 DTSTAMP:20260408T230002 CREATED:20190911T055121Z LAST-MODIFIED:20190919T171212Z UID:1530-1571069700-1571073300@colleges.claremont.edu SUMMARY:Applied Math Talk: A Full Asymptotic Series of European Call Option Prices in the SABR Model with Beta = 1 given by Zhengji Guo (CGU) DESCRIPTION:We develop two new pricing formulae for European options. The purpose of these formulae is to better understand the impact of each term of the model\, as well as improve the speed of the calculations. We consider the SABR model (with $\beta=1$) of stochastic volatility\, which we analyze by tools from Malliavin Calculus. We follow the approach of Alòs et al (2006) who showed that under stochastic volatility framework\, the option prices can be written as the sum of the classic Hull-White (1987) term and a correction due to correlation. We derive the Hull-White term\, by using the conditional density of the average volatility\, and write it as a two-dimensional integral. For the correction part\, we use two different approaches. Both approaches rely on the pairing of the exponential formula developed by Jin\, Peng\, and Schellhorn (2016) with analytical calculations. The first approach\, which we call ”Dyson series on the return’s idiosyncratic noise” yields a complete series expansion but necessitates the calculation of a 7-dimensional integral. Two of these dimensions come from the use of Yor’s (1992) formula for the joint density of a Brownian motion and the time-integral of geometric Brownian motion. The second approach\, which we call ”Dyson series on the common noise” necessitates the calculation of only a one-dimensional integral\, but the formula is more complex. This research consisted of both analytical derivations and numerical calculations. The latter show that our formulae are in general more exact\, yet more time-consuming to calculate\, than the first order expansion of Hagan et al (2002). URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-zhengji-guo-cgu/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191015T121500 DTEND;TZID=America/Los_Angeles:20191015T131000 DTSTAMP:20260408T230002 CREATED:20190830T203403Z LAST-MODIFIED:20191010T171535Z UID:1465-1571141700-1571145000@colleges.claremont.edu SUMMARY:Sporadic points on modular curves (Ozlem Ejder\, Colorado State University) DESCRIPTION:A classic and fundamental result in number theory is due to Mordell who proved that the set of points on an elliptic curve defined over a number field forms a finitely generated abelian group; in particular\, it has a finite torsion subgroup. An essential tool to study elliptic curves is the modular curves which are moduli spaces for elliptic curves with an additional structure.  In particular\, $X_1(n)$ classifies the elliptic curves with a point of order of $n$.  Motivated by the classification of torsion problems\, we study the sporadic points on the curve $X_1(n)$\, that is\, the closed points on $X_1(n)$ such that there are at most finitely many points of degree at most $\deg(x)$. In this talk\, we will discuss the finiteness of sporadic points. This is joint with A. Bourdon\, Y. Liu\, F. Odumudu and B. Viray. URL:https://colleges.claremont.edu/ccms/event/antc-seminar-ozlem-ejder-colorado-state-university/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191016T161500 DTEND;TZID=America/Los_Angeles:20191016T171500 DTSTAMP:20260408T230002 CREATED:20190826T234917Z LAST-MODIFIED:20191007T175651Z UID:1394-1571242500-1571246100@colleges.claremont.edu SUMMARY:Habitat-driven extinctions: insights from spatially implicit ODE models  DESCRIPTION:Speaker:  Kate Meyer\, Cornell University\n\n\n\n\n\n\n\n\n\nAbstract: Biodiversity underpins ecosystem functioning but continues to decline on a global scale. Among human activities driving this trend\, habitat destruction is a leading culprit in local and global extinctions. Simple mathematical models can address important questions surrounding habitat-driven extinctions—for example\, which species are at highest risk\, how delayed might extinction be\, and what can be done about it? Exploring these questions in a spatially implicit ODE model leads us to new mathematical territory involving temporary parameter changes and nonequilibrium dynamics.\n\n\n\nHost: Jasper Weinburd (jweinburd@hmc.edu) URL:https://colleges.claremont.edu/ccms/event/tba-8/ LOCATION:CA CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191021T161500 DTEND;TZID=America/Los_Angeles:20191021T171500 DTSTAMP:20260408T230002 CREATED:20190705T211849Z LAST-MODIFIED:20191018T203146Z UID:1337-1571674500-1571678100@colleges.claremont.edu SUMMARY:Applied Math Talk: Dynamics of neuroendocrine stress response given by Prof. Maria Rita D'Orsogna (CSUN) DESCRIPTION:The hypothalamic-pituitary-adrenal (HPA) axis is a neuroendocrine system\nthat regulates numerous physiological processes. Disruptions are\ncorrelated with stress-related diseases such as PTSD and major depression. We characterize “normal” and “diseased” states of the HPA axis as basins of attraction of a dynamical system describing the main hormones regulated by the HPA axis. Our model includes hormonal self-upregulation\, release\, synthesis; interaction\,\ndelay and feedback mechanisms. External input is associated to psychological trauma\, while parameter changes represent physiological damage. We show that transitions between the  “normal” and “diseased” states may be induced solely by\nexternal input\, with all physiological parameters unchanged\, emphasizing\nthe severe consequences of psychological trauma. We also find that the\ntiming and duration of the traumatic event is an important determinant\nof if and how stress disorders will manifest. Finally\, we propose mechanisms whereby exposure therapy may act to normalize downstream dysregulation of the HPA axis. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-maria-rita-dorsogna-csun/ LOCATION:CGU Math North House CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191023T161500 DTEND;TZID=America/Los_Angeles:20191023T171500 DTSTAMP:20260408T230002 CREATED:20190826T235239Z LAST-MODIFIED:20191018T182721Z UID:1396-1571847300-1571850900@colleges.claremont.edu SUMMARY:Magnitude meets persistence. What happens after? DESCRIPTION:The magnitude is an isometric invariant of metric spaces that\nwas introduced by Tom Leinster in 2010\, and is currently the object of\nintense research\, as it has been shown to encode many invariants of a\nmetric space such as volume\, dimension\, and capacity. When studying a\nmetric space in topological data analysis using persistent homology\, one\napproximates the space through a nested sequence of simplicial complexes\nso as to recover topological information about the space by studying the\nhomology of this sequence. In this talk I will give an introduction to\nmagnitude as well as persistent homology\, and explain how magnitude\nhomology is related to persistent homology. URL:https://colleges.claremont.edu/ccms/event/tba-9/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20191029T121500 DTEND;TZID=America/Los_Angeles:20191029T131000 DTSTAMP:20260408T230002 CREATED:20190802T043328Z LAST-MODIFIED:20190903T050156Z UID:1347-1572351300-1572354600@colleges.claremont.edu SUMMARY:Faster point counting for curves over prime power rings (Maurice Rojas\, Texas A&M) DESCRIPTION:Counting points on algebraic curves over finite fields has numerous applications in communications and cryptology\, and has led to some of the most beautiful results in 20th century arithmetic geometry. A natural generalization is to count the number of points over prime power rings\, e.g.\, the integers modulo a prime power. However\, the theory behind the latter kind of point counting began more recently and there are numerous gaps in our algorithmic knowledge. \nWe give a simple combinatorial construction that reduces point counting over prime power point counting to the prime field case. In particular\, for any bivariate polynomial f in Z[x\,y] and positive integers p and k with p prime\, we show how one can count the number of roots of f in (Z/(p^k))^2 in time p^{1/2 + o(1)} (dk)^{O(1)}\, and even faster for certain curves. This generalizes earlier results of Cheng\, Lecerf\, Saxena\, and Wan in the univariate case\, and simplifies earlier work of Denef\, Igusa\, and Veys on local zeta functions. \nThis is joint work with Caleb Robelle and Yuyu Zhu. URL:https://colleges.claremont.edu/ccms/event/antc-talk-by-maurice-rojas-texas-am/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191030T161500 DTEND;TZID=America/Los_Angeles:20191030T171500 DTSTAMP:20260408T230002 CREATED:20190826T235343Z LAST-MODIFIED:20191025T235302Z UID:1398-1572452100-1572455700@colleges.claremont.edu SUMMARY:Calculus\, Real Fewnomials\, and P vs NP DESCRIPTION:We review a beautiful 17th century result by the philosopher Rene Descartes: a univariate real polynomial with t monomial terms has no more than t-1 positive roots. We then see how one can prove a generalization that counts roots of two bivariate polynomials (with few monomial terms)\, using nothing more than basic calculus. In other words\, we’ll see the basics of real fewnomial theory. We’ll then see how this relates to circuit complexity and the famous P vs. NP Problem. In particular\, we’ll see how new bounds in real fewnomial theory lead to new separations of complexity classes that answer deep questions in theoretical computer science. Along the way\, we’ll see some of the ideas behind tropical geometry. URL:https://colleges.claremont.edu/ccms/event/tba-10/ LOCATION:Argue Auditorium\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States CATEGORIES:Colloquium ORGANIZER;CN="Blerta Shtylla":MAILTO:shtyllab@pomona.edu 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:20191102T100000 DTEND;TZID=America/Los_Angeles:20191102T120000 DTSTAMP:20260408T230002 CREATED:20191024T002051Z LAST-MODIFIED:20191024T002051Z UID:1620-1572688800-1572696000@colleges.claremont.edu SUMMARY:GEMS Workshop: Mathematics of Information with Professor Lucas Bang of Harvey Mudd College DESCRIPTION:TOPIC: The Mathematics of Information \nWe are surrounded by information. Words in books\, ones and zeros in computers\, mathematical equations\, and DNA sequences are all examples of information\, but can we say something more about it? In this workshop\, we will learn about the mathematics of information\, see how it is related to concepts from physics and artificial intelligence\, and explore how it can be used to solve games. \nWHAT IS GEMS: \nThe Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science. \nGEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM. \nGEMS is designed to reach 8th\, 9th and 10th grade students who have an interest in mathematics and science. \nParticipants interact with excellent and award winning faculty\, staff\, students and alumni from each of the seven Claremont Colleges. \nFALL 2019 DATES: \nOctober 5\, 2019 \nNovember 2\, 2019 \nDecember 7\, 2019 \nREGISTRATION: \nTo register for our next event on November 2nd\, please click on the following link: \nhttps://forms.gle/RetrypdjSnoVWGKi9 \nANY QUESTIONS: \nPlease contact our 2019-2020 GEMS coordinator\, Josh Kiernan at joshua.kiernan@cgu.edu URL:https://colleges.claremont.edu/ccms/event/gems-workshop-mathematics-of-information-with-professor-lucas-bang-of-harvey-mudd-college/ LOCATION:Shanahan 1480\, Harvey Mudd College\, 301 Platt Blvd.\, Claremont\, CA\, 91711\, United States CATEGORIES:GEMS END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191104T161500 DTEND;TZID=America/Los_Angeles:20191104T171500 DTSTAMP:20260408T230002 CREATED:20190803T171420Z LAST-MODIFIED:20191026T215438Z UID:1351-1572884100-1572887700@colleges.claremont.edu SUMMARY:Markov Chains and Emergent Behavior in Programmable Matter given by Prof. Sarah Canon (CMC) DESCRIPTION:Markov chains are widely used throughout mathematics\, statistics\, and the sciences\, often for modelling purposes or for generating random samples. In this talk I’ll discuss a different\, more recent application of Markov chains\, to developing distributed algorithms for programmable matter systems. Programmable matter is a material or substance that has the ability to change its features in a programmable\, distributed way; examples are diverse and include robot swarms and smart materials. We study an abstraction of programmable matter where particles independently move on a lattice according to simple\, local algorithms. We want to design these algorithms so that the system has a desired collective behavior\, such as compression of the particles into a shape with small perimeter or separation of differently colored particles. In our stochastic approach\, we describe a desired collective behavior using an energy function; design a Markov chain that uses local moves and converges to the Gibbs distribution for this energy function; and then turn the Markov chain into an asynchronous distributed algorithm that each particle can execute independently. In several of our algorithms\, changing just a single parameter results in a different\, but equally desirable\, emergent global behavior. To prove our algorithms are correct\, we must show this Gibbs distribution has the desired properties with high probability\, which we do using proof techniques from probability\, statistical physics\, and Markov chain analysis. This principled approach has been used to inform the design of real-world robot systems. Joint work with Marta Andres Arroyo\, Enis Aydin\, Joshua J. Daymude\, Bahnisikha Dutta\, Cem Gokmen\, Daniel I. Goldman\, Shengkai Li\, Dana Randall\, Andrea Richa\, William Savoie\, and Ross Warkentin. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-sarah-canon-cmc/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Applied Math Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20191105T121500 DTEND;TZID=America/Los_Angeles:20191105T131000 DTSTAMP:20260408T230002 CREATED:20190910T234841Z LAST-MODIFIED:20191101T153056Z UID:1522-1572956100-1572959400@colleges.claremont.edu SUMMARY:Differential spectra of power permutations (Daniel Katz\, CSUN) DESCRIPTION:If $F$ is a finite field and $d$ is a positive integer relatively prime to $|F^\times|$\, then the power map $x \mapsto x^d$ is a permutation of $F$\, and so is called a power permutation of $F$. For any function $f: F \to F$\, and $a\, b \in F$\, we define the differential multiplicity of $f$ with respect to $a$ and $b$\, written $\delta_f(a\,b)$\, to be the number of pairs $(x\,y) \in F^2$ with $x-y=a$ and $f(x)-f(y)=b$.  We usually insist that $a\not=0$\, since it is immediate that $\delta_f(0\,0)=|F|$ and $\delta_f(0\,b)=0$ for $b\not=0$.  The differential spectrum of $f$\, written $\Delta_f$\, is defined as $\Delta_f=\{\delta_f(a\,b): a \in F^\times\, b \in F\}$. Differential spectra of power permutations are of interest in applications to cryptography and digital communications.  We are especially interested in fields $F$ and exponents $d$ such $f(x)=x^d$ is a power permutation over $F$ whose differential spectrum contains at most three values. We present computational experiments that suggest conjectures as to which $(F\,d)$ pairs produce such spectra.  This is joint work with Kyle Pacheco and Yakov Sapozhnikov. URL:https://colleges.claremont.edu/ccms/event/antc-talk-daniel-katz-csun-2/ LOCATION:Emmy Noether Room\, Millikan 1021\, Pomona College\, 610 N. College Ave.\, Claremont\, California\, 91711 CATEGORIES:Algebra / Number Theory / Combinatorics Seminar GEO:34.099908;-117.7142522 X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Emmy Noether Room Millikan 1021 Pomona College 610 N. College Ave. Claremont California 91711;X-APPLE-RADIUS=500;X-TITLE=610 N. College Ave.:geo:-117.7142522,34.099908 END:VEVENT END:VCALENDAR