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DTSTART;TZID=America/Los_Angeles:20191004T160000
DTEND;TZID=America/Los_Angeles:20191004T170000
DTSTAMP:20260415T055039
CREATED:20190808T233920Z
LAST-MODIFIED:20190919T220053Z
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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
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191005T100000
DTEND;TZID=America/Los_Angeles:20191005T120000
DTSTAMP:20260415T055039
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:20260415T055039
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
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END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191008T121500
DTEND;TZID=America/Los_Angeles:20191008T131000
DTSTAMP:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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:20260415T055039
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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191105T150000
DTEND;TZID=America/Los_Angeles:20191105T160000
DTSTAMP:20260415T055039
CREATED:20191024T001849Z
LAST-MODIFIED:20191024T001849Z
UID:1622-1572966000-1572969600@colleges.claremont.edu
SUMMARY:Paper Strip Knots (David Bachman)
DESCRIPTION:I will discuss joint work with Jim Hoste\, where we prove that a unique folded strip of paper can follow any polygonal knot with odd stick number. In the even stick number case there are either infinitely many\, or none.
URL:https://colleges.claremont.edu/ccms/event/paper-strip-knots-david-bachman/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Topology Seminar
ORGANIZER;CN="Helen Wong":MAILTO:hwong@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191106T080000
DTEND;TZID=America/Los_Angeles:20191106T170000
DTSTAMP:20260415T055039
CREATED:20190826T235443Z
LAST-MODIFIED:20191104T173056Z
UID:1400-1573027200-1573059600@colleges.claremont.edu
SUMMARY:Science for the Greater Good: How a Math Professor Saved the Italian Coastline from Big Oil
DESCRIPTION:In 2007\, Dr. Maria D’Orsogna learned of proposed oil activities in her home region of Abruzzo\, Italy. Century-old wineries were to be uprooted to build clusters of oil wells\, refineries and pipelines\, turning scenic Abruzzo into an oil district. Although based in California\, 6\,000 miles away\, Dr. D’Orsogna took it upon herself to raise awareness and educate the public at large. She blended her scientific training\, her experience as a professor\, and her strong desire for social justice into an environmental movement that rapidly spread from Abruzzo across the country. Over the years\, she traveled from town to town in Italy\, educating citizens about environmental and health effects tied to hydrocarbon extraction\, debating Big Oil\, exposing political corruption\, engaging the Catholic Church\, putting pressure on decision makers to act for the common good. While in California she used social networks and blogging to expose wrongdoings of the oil and gas industry\, coordinate letter writings\, keep raising awareness and spur action. Thanks to public uproar\, spearheaded by Marias unwavering efforts\, Abruzzo banned oil drilling and for the first time ever\, the Italian parliament imposed a no-drill zone of 12 miles encompassing all of Italy’s 5\,000 mile coastline. Overall she helped stop at least 50 oil leases\, earning the nickname Erin Brockovich of Italy. Maria’s story is a testament of how\, by engaging with the community\, scientists and educators can truly make a difference.
URL:https://colleges.claremont.edu/ccms/event/tba-11/
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:20191111T161500
DTEND;TZID=America/Los_Angeles:20191111T171500
DTSTAMP:20260415T055039
CREATED:20191022T164250Z
LAST-MODIFIED:20191105T183518Z
UID:1618-1573488900-1573492500@colleges.claremont.edu
SUMMARY:Applied Math Talk: Stochastic similarity matrices and data clustering given by Prof. Denis Gaidashev (Uppsala University)
DESCRIPTION:Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices\, and an algorithm in which a collection of image elements is treated as a dynamical system. Efficient clustering in this framework   is achieved if the dynamical system admits a spectral gap. \nWe expand upon recent results in spectral analysis for Gaussian mixture distributions\, and in particular\, provide conditions for the existence of a spectral gap between the leading and remaining eigenvalues for matrices with entries from a Gaussian mixture with two real univariate components.
URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-given-by-prof-denis-gaidashev-uppsala-university/
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:20191112T121500
DTEND;TZID=America/Los_Angeles:20191112T131000
DTSTAMP:20260415T055039
CREATED:20191011T010916Z
LAST-MODIFIED:20191105T222544Z
UID:1608-1573560900-1573564200@colleges.claremont.edu
SUMMARY:Counting stuff with quantum Airy structures (Vincent Bouchard\, University of Alberta)
DESCRIPTION:Mathematicians like to count things. Often in very complicated and fancy ways. In this talk I will explain how we can use quantum Airy structures — an abstract formalism recently proposed by Kontsevich and Soibelman\, underlying the Eynard-Orantin topological recursion — to count various interesting geometric structures. Quantum Airy structures can be seen as a wide generalization of the famous Witten conjecture\, connecting enumerative geometry\, integrable systems\, representation theory and mathematical physics. It is a great example of “physical mathematics” in action\, with dualities in string theory and quantum field theory giving rise to fascinating\, unexpected results in pure mathematics.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-vincent-bouchard-university-of-alberta/
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:20191112T143000
DTEND;TZID=America/Los_Angeles:20191112T160000
DTSTAMP:20260415T055039
CREATED:20191009T144155Z
LAST-MODIFIED:20191009T144710Z
UID:1604-1573569000-1573574400@colleges.claremont.edu
SUMMARY:Topology Triple-Header!
DESCRIPTION:This triple-header of topology talks will include three speakers: \nFirst\, Hyeran Cho from The Ohio State University will speak about Derivation of Schubert normal forms of 2-bridge knots from (1\,1)-diagrams. \nIn this talk\, we show that the dual (1\, 1)-diagram of a (1\, 1)-diagram (a.k.a. a two pointed genus one Heegaard diagram)\nD(a\, 0\, 1\, r) with 1 ≤ r < 2a + 1 and gcd(2a + 1\, r) = 1 is given by D(1/2r\, 0\, 2a+1-1/r\, 1/r) when 1/r is even and by D((2a+1−r)/2\, 0\, r −1\, r −1) otherwise\,  where 1/r is the multiplicative inverse of r modulo 2a + 1. We also present explicitly how to derive a Schubert normal form of a 2-bridge knot from the dual (1\, 1)-diagram of D(a\, 0\, 1\, r) using weakly K−reducibility of (1\, 1)-\ndecompositions. \nSecond\, Suhyeon Jeong from Pusan National University will speak about Psybrackets\, Singular Knots and Pseudoknots.: \nIn 2010\, a pseudodiagram was introduced by Ryo Hanaki. A pseudodiagram is a knot or link diagram where we ignore over/under information at some crossings of the diagram. This definition is motivated by applications in molecular biology such as modeling knotted DNA\, where data often comes inconclusive with respect to which crossing it represents. In 2012\, Allison Henrich\, Rebecca Hoberg\, Slavik Jablan\, Lee Johnson\, Elizabeth Minten\, and Ljiljana Radvić extended this idea to a pseudoknot and pseudolink. A pseudoknot (or pseudolink ) is an equivalence class of pseudodiagrams modulo pseudo-Reidemeister moves. In this talk\, we would like to introduce a psybracket consisting of two maps <\, \, > c \, <\, \, > p : X × X × X → X satisfying some axioms derived from pseudo-Reidemeister moves. By using this\, we define an invariant\, called the psybracket counting invariant\, of oriented singular knots and links and pseudolinks. This is a joint work with Jieon Kim and Sam Nelson. \nFinally\, Minju Seo from Pusan National University will speak about Quandle coloring quivers of surface-links.:  \nIn 2018\, K. Cho and S. Nelson introduced the quandle coloring quiver of an oriented knot or link diagram\, which is a quiver structure on the set of quandle colorings of a knot or link diagram. Also\, they gave a new invariant\, called the in-degree quandle quiver polynomial\, from the quiver structure. A surface-link is a closed 2-manifold smoothly embedded in R 4 or S 4 . A surface-link can be presented by a marked graph diagram with specific condition\, and a marked graph diagram is a generalization of a knot or link diagram. In this talk\, we introduce a quiver structure on the set of quandle colorings of a marked graph diagram\, and compute the in-degree quandle quiver polynomials of some marked graph diagrams. This is a joint work with J. Kim and S. Nelson.
URL:https://colleges.claremont.edu/ccms/event/topology-triple-header/
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:20191113T161500
DTEND;TZID=America/Los_Angeles:20191113T171500
DTSTAMP:20260415T055039
CREATED:20190826T235610Z
LAST-MODIFIED:20191111T181131Z
UID:1402-1573661700-1573665300@colleges.claremont.edu
SUMMARY:Let's count points!
DESCRIPTION:A fascinating fact on mathematics is that there are many interesting connections between seemingly different mathematical disciplines. In this talk\, I will present a surprising formula counting integral points on polygons and sketch its proof. We will see a delightful interaction between algebra\, combinatorics\, and geometry. This talk aims primarily for undergraduate students. No prerequisite is assumed beyond calculus. 
URL:https://colleges.claremont.edu/ccms/event/tba-12/
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:20191119T121500
DTEND;TZID=America/Los_Angeles:20191119T131000
DTSTAMP:20260415T055039
CREATED:20190910T235147Z
LAST-MODIFIED:20191113T223428Z
UID:1524-1574165700-1574169000@colleges.claremont.edu
SUMMARY:Recent developments biquandle brackets (Sam Nelson\, CMC)
DESCRIPTION:We review some recent developments in the study of biquandle brackets and other quantum enhancements.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sam-nelson-cmc-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
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191119T150000
DTEND;TZID=America/Los_Angeles:20191119T160000
DTSTAMP:20260415T055039
CREATED:20191113T201432Z
LAST-MODIFIED:20191113T201432Z
UID:1644-1574175600-1574179200@colleges.claremont.edu
SUMMARY:Topological index and square plat projections (Puttipong Pongtanapaisan)
DESCRIPTION:The bridge distance and the topological index are measures of the complexity of the bridge splitting of a knot. In 2016\, Johnson and Moriah gave a formula for the bridge distance of the canonical bridge sphere of a knot in a highly twisted plat projection in terms of the height and the width of the plat. Essentially\, if the plat is high\, then the bridge distance is high and the topological index equals one. Not much is known about the topological index of the bridge sphere when the plat is not high. In this talk\, I will show that if the plat is square\, then the topological index equals two. This is joint work with Daniel Rodman.
URL:https://colleges.claremont.edu/ccms/event/topological-index-and-square-plat-projections-puttipong-pongtanapaisan/
LOCATION:Millikan 2099\, Pomona College\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
ORGANIZER;CN="Sam Nelson":MAILTO:snelson@cmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191120T161500
DTEND;TZID=America/Los_Angeles:20191120T171500
DTSTAMP:20260415T055039
CREATED:20190827T000355Z
LAST-MODIFIED:20191113T071537Z
UID:1406-1574266500-1574270100@colleges.claremont.edu
SUMMARY:Silica-based glasses: Realizing process-structure-property connections through computational modeling
DESCRIPTION:Silica-based glasses are increasingly becoming vital components in our current technology\, from optical data transmission lines\, to electronics\, to optical lenses\, to smartphone screens. These materials are inherently brittle and subject to failure under shock\, non-equilibrium stress states\, or corrosive environments.  Identifying new compositions and processing conditions that result in improved fracture resistance (i.e. a higher fracture toughness) is achievable through materials design approaches. However\, discovery primarily remains an empirically determined procedure.  Atomistic molecular dynamics can be a powerful tool in this application\, providing a capability to probe how glass breaks and what compositions or microstructural features result in better material performance.  In this talk\, a novel numerical method to determine the fracture toughness from atomistic material representations will be demonstrated on vitreous silica-based glass compositions. Process-structure-property connections will then be explored using this measure to highlight the relationships between processing conditions\, chemical composition\, microstructural content\, and material performance.  Finally\, an overview of the collaboration between the 2019-20 CGU Math Clinic team and Sandia National Laboratories will be discussed\, where project goals are focused on using machine learning to predict fracture nucleation in silica glass.  \nSandia National Laboratories is a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of Sandia\, LLC.\, a wholly owned subsidiary of Honeywell International\, Inc.\, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.
URL:https://colleges.claremont.edu/ccms/event/tba-13/
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:20191121T120000
DTEND;TZID=America/Los_Angeles:20191121T130000
DTSTAMP:20260415T055039
CREATED:20191119T200348Z
LAST-MODIFIED:20191119T200348Z
UID:1668-1574337600-1574341200@colleges.claremont.edu
SUMMARY:Dynamics of a childhood disease model with isolation
DESCRIPTION:Joan Ponce \nPurdue University \nAbstract: One of the main challenges of mathematical modeling is the balance between simplifying assumptions and incorporating sufficient complexity for the model to provide more accurate and reliable outcomes. For mathematical simplicity\, many commonly used epidemiological models make restrictive modeling assumptions. Although models under such assumptions are capable of producing useful insights into the biological questions in many cases\, they may generate discrepancies in model outcomes. One of the common assumptions in infectious disease models is that the duration for disease stages is exponentially distributed. This may result in discrepancies in model outcomes between such a model and models with more realistic stage distribution assumptions such as gamma distributions with the shape parameter greater than one (Feng et al.\, 2007). In this talk\, I will present an ODE model with gamma-distributed infectious and isolated periods and compare it with a model with exponentially distributed stages. These models intend to show that\, for childhood diseases\, isolation of infected children may be a possible mechanism responsible for the observed oscillatory behavior in incidence. This is shown analytically by identifying a Hopf bifurcation with the isolation period as the bifurcation parameter. \nAn important result is that the threshold value for isolation to generate sustained oscillations from the model with gamma-distributed isolation period is much more realistic than the model assuming exponential distributions. \nAbout the speaker:  Joan Ponce is a graduate student from Purdue University
URL:https://colleges.claremont.edu/ccms/event/dynamics-of-a-childhood-disease-model-with-isolation/
LOCATION:Millikan 2141\, Pomona College
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Kathy Sheldon":MAILTO:ksheldon@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20191125T161500
DTEND;TZID=America/Los_Angeles:20191125T171500
DTSTAMP:20260415T055039
CREATED:20190909T232742Z
LAST-MODIFIED:20191112T033822Z
UID:1501-1574698500-1574702100@colleges.claremont.edu
SUMMARY:Applied Math Talk: Patterns deformed by spatial inhomogeneity give by Prof. Jasper Weinburd (HMC)
DESCRIPTION:At the turn of the twentieth century\, physicist Henri Bénard heated a shallow plate of fluid from below. For temperatures above a critical value\, the fluid’s evenly heated state became unstable as thermal convection took hold; heated fluid rose in localized areas while cooler fluid fell nearby. The rising and falling fluid created hexagonal convection cells\, squares\, and stripes.\nSuppose that we modify Bénard’s experiment by heating only the left half plate. We expect the fluid on the right to remain stationary and only the the fluid on the left to form patterns. We confirm this intuition mathematically and\, more surprisingly\, find that the step-type inhomogeneity restricts the spatial period of the resulting patterns on the left. We examine this phenomenon using a universal partial differential equation model. The main difficulty arrises at the location of the discontinuous inhomogeneity because results on either side cannot be directly compared. We construct a transformation of variables that bridges this jump and allows a heteroclinic glueing argument from left to right. The explicit form of this transformation determines the widths of patterns that may occur in the inhomogeneous environment.
URL:https://colleges.claremont.edu/ccms/event/jasper-weinburd-pomona-college/
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:20191126T121500
DTEND;TZID=America/Los_Angeles:20191126T131000
DTSTAMP:20260415T055039
CREATED:20190821T210731Z
LAST-MODIFIED:20191123T222257Z
UID:1361-1574770500-1574773800@colleges.claremont.edu
SUMMARY:Exponential domination in grids (Michael Young\, Iowa State University)
DESCRIPTION:Domination in graphs has been an important and active topic in graph theory for over 40 years. It has immediate applications in visibility and controllability. In this talk we will discuss a generalization of domination called exponential domination. A vertex $v$ in an exponential dominating set assigns weight $2^{1−dist(v\,u)}$ to vertex $u$. An exponential dominating set of a graph $G$ is a subset of $V(G)$ such that every vertex in $V(G)$ has been assigned a sum weight of at least 1. We will specifically look at grid graphs and graphs on the torus.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-michael-young-iowa-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:20191202T121500
DTEND;TZID=America/Los_Angeles:20191202T131000
DTSTAMP:20260415T055039
CREATED:20200116T235236Z
LAST-MODIFIED:20200116T235237Z
UID:1772-1575288900-1575292200@colleges.claremont.edu
SUMMARY:ANTC Seminar: Random Monomial Ideals (Lily Silverstein\, CalPoly Pomona)
DESCRIPTION:Probability is a now-classic tool in combinatorics\, especially graph theory. Some applications of probabilistic techniques are: (1) describing the typical/expected properties of a class of objects\, (2) uncovering phase transitions and sudden thresholds in the dependence of one property on another\, and (3) producing examples of conjectured or unusual objects. (This last technique is sometimes called “the probabilistic method.”)\nThis talk will apply these techniques to commutative algebra\, using monomial ideals as a bridge between combinatorics and algebra. I’ll introduce a family of random models for monomial ideals\, and describe results of each type mentioned above\, for instance: (1) typical projective dimension\, (2) thresholds in Krull dimension as a function of number of monomial generators\, and (3) how to generate unlimited examples of monomial ideals which aren’t generic (in the Bayer-Peeva-Sturmfels sense)\, but which nevertheless have minimal free resolutions that can be read from their Scarf complexes.\nJoint work with subsets of: Jesús A. De Loera\, Serkan Hoşten\, Robert Krone\, Sonja Petrović\, Despina Stasi\, Dane Wilburne\, and Jay Yang.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-random-monomial-ideals-lily-silverstein-calpoly-pomona/
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:20191202T161500
DTEND;TZID=America/Los_Angeles:20191202T171500
DTSTAMP:20260415T055039
CREATED:20191107T212329Z
LAST-MODIFIED:20191121T082301Z
UID:1636-1575303300-1575306900@colleges.claremont.edu
SUMMARY:Applied Math Seminar On Unlimited Sampling given by Prof. Felix Krahmer (Technische Universität München)
DESCRIPTION:Shannons sampling theorem provides a link between the continuous and thediscrete realms stating that bandlimited signals are uniquely determined by itsvalues on a discrete set. This theorem is realized in practice using so called analog to digital converters (ADCs). Unlike Shannons sampling theorem\, the ADCs are limited in dynamic range. Whenever a signal exceeds some preset threshold\, the ADC saturates\, resulting in aliasing due to clipping. In this talk\,we analyze an alternative approach that does not suffer from these problems.Our work is based on recent developments in ADC design\, which allow for ADCs that reset rather than to saturate\, thus producing modulo samples. An open problem that remains is: Given such modulo samples of a bandlimited function as well as the dynamic range of the ADC\, how can the original signal be recovered and what are the sufficient conditions that guarantee perfect recovery? In this paper\, we prove such sufficiency conditions and complement them with a stable recovery algorithm. Our results not limited to certain amplitude ranges\, in fact even the same circuit architecture allows for the recovery of arbitrary large amplitudes as long as some estimate of the signal norm is available whenrecovering. \nThis is joint work with Ayush Bhandari (Imperial College London) and Ramesh Raskar (MIT). \nBio: \nFelix Krahmer received his PhD in Mathematics in 2009 from New York University under the supervision of Percy Deift and Sinan Güntürk. He was a Hausdorff postdoc in the group of Holger Rauhut at the University of Bonn\, Germany from 2009-2012. In 2012 he joined the University of Göttingen as a an assistant professor for mathematical data analysis\, where he has been awarded an Emmy Noether Junior Research Group. Since 2015 he has been tenure track assistant professor for optimization and data analysis in the department of mathematics at the Technical University of Munich.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-given-by-prof-felix-krahmer-technische-universitat-munchen/
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
END:VCALENDAR