
Past Colloquia
Date | Speaker | Title / Abstract |
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Spring 2025 | ||
Jan 23, 2025 12:30pm-1:30pm (UC 122) | University of Washington | Local smallness and global largeness: a quantitative approach |
Jan 30, 2025 12:30pm-1:30pm (UC 122) | Tennessee Tech University | |
Feb 4, 2025 12:30pm-1:30pm (UC 307) | UCLA | |
Feb 13, 2025 12:30pm-1:30pm (DWIRE 106) | Shanghai University of | Well-Posedness And Low Mach Number Limit Of The Free Boundary Problem For The Euler-Fourier System |
Apr 1, 2025 12:30pm-1:30pm (OSB B136) | Courant Institute of Mathematical Sciences | |
Apr 3, 2025 12:30pm-1:30pm (DWIRE 121) | Missouri S&T University | Learning to Care: Can AI/ML help fix the U.S. Healthcare System? |
Apr 10, 2025 12:30pm-1:30pm (CENT 102) | University of California, San Diego | |
May 9, 2025 12:30pm-1:00pm (OSB B134) | Polytechnic University of Turin | An adaptive-gain controller to solve the equilibrium selection problem |
May 9, 2025 1:00pm-1:30pm (OSB B134) | GIPSA Lab, France | A Coupled Friedkin-Johnsen Model of Popularity Dynamics in Social Media |
Fall 2024 | ||
November 14, 2024 12:30pm-1:30pm | UCCS | |
November 21, 2024 12:30pm-1:30pm (Columbine 136) | UCCS | |
Spring 2024 | ||
March 14, 2024 12:30pm-1:30pm | The Ohio State University | Application of Regular Local Rings to Number Theory |
April 11, 2024 12:30pm-1:30pm | UCCS | |
April 25, 2024 12:30pm-1:30pm | Florida State University | From space-time reflection symmetry to integrable nonlocal models |
Fall 2023 | ||
September 21, 2023 12:30pm-1:30pm | UCCS | Using analysis and topology to count nonbacktracking walks in biregular graphs |
September 28, 2023 12:30pm-1:30pm | Andrew Kelley Colorado College/Colorado Engineering Inc. | Expected Runtime of Evolutionary Algorithms on Plateaus Slides and Zoom Audio Recording |
October 12, 2023 12:30pm-1:30pm | UC Boulder | Finite Difference Formulas and Numerical Contour Integration in the Complex Plane |
October 26, 2023 12:30pm-1:30pm | Ohio University | |
Nov 2, 2023 12:30pm-1:30pm | University of Washington (online talk) | |
Nov 9, 2023 12:30pm-1:30pm | University of Colorado Denver | Randomized Quasi-Monte Carlo Methods for Global Sensitivity Analysis |
Nov 16, 2023 12:30pm-1:30pm | Auburn University, Al
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Spring 2023 | ||
February 23, 2023 12:30pm-1:30pm | Colorado School of Mines | Symbolic computation of solitary wave solutions and solitons through homogenization of degrees |
March 2, 2023 12:30pm-1:30pm | UCCS | |
March 9, 2023 12:30pm-1:30pm | University of Vermont | Rogue wave patterns Zoom Recording |
March 16, 2023 12:30pm-1:30pm | University of Connecticut | Quasi-stationary distributions: existence uniqueness and characterization |
March 23, 2023 12:30pm-1:30pm | University at Buffalo | Solitons and soliton interactions in the complex coupled short-pulse equation |
April 6, 2023 12:30pm-1:30pm | Mechanical and Aerospace Engineering UCCS | |
Apr 13, 2023 12:30pm-1:30pm | Colorado School of Mines | |
Apr 20, 2023 12:30pm-1:30pm | University of Massachusetts | On Some Select Klein-Gordon and Beam Problems: Internal Modes, Fat Tails, Wave Collisions and Beyond |
Apr 27, 2023 12:30pm-1:30pm | Stephanie Klumpe | Equivalent Codes From Finite Fields |
Spring 2022 | ||
February 17, 2022 12:30pm-1:30pm | UCCS | |
March 17, 2022 12:30pm-1:30pm | University of Hawai'i | Cascade Feedback Linearization and Two-Legged Copepod Motion |
March 31, 2022 12:30pm-1:30pm | Colorado School of Mines | Efficient Training of Infinite-Depth Neural Networks via Jacobian-Free Backpropagation |
April 21, 2022 12:30pm-1:30pm | Los Alamos National Lab |
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May 5, 2022 12:30pm-1:30pm | University of Padova, Italy | |
Fall 2021 | ||
September 23, 2021 12:30pm-1:30pm | Data-Efficient Deep Learning using Physics-Informed Neural Networks | |
October 7, 2021 12:30pm-1:30pm | ||
October 28, 2021 12:30pm-1:30pm | ||
November 4, 2021 12:30pm-1:30pm | ||
November 18, 2021 12:30pm-1:30pm | Spoof odd perfect numbers | |
December 2, 2021 12:30pm-1:30pm | Michael Zowada | Rational Solutions to the KPI Nonlinear Wave Equation and Their Connection to Partitions of Integers |
Spring 2020 | ||
January 23, 2020 12:30pm-1:30pm | The Singularities of 2D Fluid Flows with Free Surface | |
January 30, 2020 12:30pm-1:30pm | Discrete Approximation of Topological Insulators in Magneto-optical Media | |
February 4, 2020 12:30pm-1:30pm | Mathematical Analysis and Numerical Methods for an Underground Oil Recovery Model | |
February 6, 2020 12:30pm-1:30pm | Maxwell-Bloch and nonlinear Schrodinger systems with nonzero backgrounds | |
March 5, 2020 12:30pm-1:30pm | Classification of Graph Algebras | |
March 10, 2020 12:30pm-1:30pm | The Cosmological Vacuous Bubble Inside a Water Tank | |
Fall 2019 | ||
October 17, 2019 12:30pm-1:30pm Room: University Center 309 | Steven Lalley University of Chicago | Return Probabilities of Random Walks on Non-Amenable Groups |
October 31, 2019 12:30pm-1:30pm Room: University Center 303 | Edwin Jimenez Caltech | High-order Numerical Methods for Boundary Integral Equations with Applications to Acoustic and Electromagnetic Scattering |
November 14, 2019 12:30pm-1:30pm Room: University Center 116 | Justin Lynd University of Louisiana | Fusion Systems in Algebra and Topology |
Spring 2019 | ||
March 7, 2019 12:30pm-1:30pm Room: Osborne A327 | Dr. Jason Boynton NDSU | Factorization in rings of polynomials of the form D+M (and generalizations) |
March 21, 2019 12:30pm-1:30pm Room: Osborne A204 | Daniel Herden Baylor University | Local Automorphisms and Incidence Algebras |
April 4, 2019 12:30pm-1:30pm Room: Osborne A204 | Xinyi Li University of Chicago | Natural parametrization for loop-erased random walk in three dimensions |
April 18, 2019 12:30pm-1:30pm Room: Osborne A327 | Dr. John Lorch Ball State University | Enlarging Franklin's Magic Squares |
Fall 2018 | ||
September 6, 2018 12:30pm-1:30pm Room: Osborne A327 | Dr. Robert Carlson UCCS | Complex Analytic Functions and Differential Operators |
September 20, 2018 12:30pm-1:30pm Room: University Center 124 | Dr. Katherine Stange Univ. of Colorado, Boulder | From Farey Sequences to Apollonian Circle Packings |
November 15, 2018 12:30pm-1:30pm Room: University Center 122 | Dr. Robert Jenkins Colorado State University | Soliton Resolution for dispersive nonlinear wave equations |
November 29, 2018 12:30pm-1:30pm Room: Osborne A327 | K.M. Rangaswamy UCCS | The multiplicative ideal theory of Leavitt path algebras- Are Leavitt path algebras really commutative algebras in non-commutative clothing? |
Spring 2018 | ||
February 1, 2018 12:30pm-1:30pm Room: Osborne A204 | Victor Ginting University Wyoming | Multiscale Methods for Flow and Transport in Porous Media |
February 15, 2018 12:30pm-1:30pm Room: Osborne A327 | Martin Mohlenkamp Ohio University | The Hunt for the Swamp Monster |
March 2, 2018 12:30pm-1:30pm Room: University Center 302 | Benedetto Piccoli Rutgers University (Joint with MAE) | Control methods for large groups: multi-scale models for social dynamics |
March 15, 2018 12:30pm-1:30pm Room: Osborne A327 | Igor Rumanov CU-Boulder | Whitman modulation theory- developments and open problems |
April 5, 2018 12:30pm-1:30pm Room: Theater University Center 3027 | Kathy Driver University Pretoria Distinguished Math Lecturer | Interlacing of zeros and Wendroff's Theorem |
May 24, 2018 12:30pm-1:30pm Room: Osborne A327 | Stanislav Volkov Lund University, Sweden | 5x+1: how many go down? |
Fall 2017 | ||
September 14, 2017 12:30pm-1:30pm Room: Osborne A327 | Robert Carlson UCCS | Analytic problems of Sturm-Liouville type |
September 28, 2017 12:30pm-1:30pm Room: Osborne A327 | Fritz Gesztesy Baylor University | On factorizations of differential operators and Hardy-Rellich-type inequalities Slides: Click here to view the PPT slides of this presentation |
Tuesday October 17, 2017 12:30pm-1:30pm Room: Osborne A327 | Michael Jay Stutzer CU Boulder | The Statistical Theory of Large Deviations Way to Gamble or Invest...If You Must |
October 26, 2017 12:30pm-1:30pm Room: University Center 122 | Dan Bossaller Ohio University | Associativity and Infinite Matrices |
November 9, 2017 12:30pm-1:30pm Room: Osborne A327 | Dr. Alessandro Arsie The University of Toledo | Bi-flat F-manifolds and Integrable Conservation Laws - an overview |
Spring 2017 | ||
February 9, 2017 12:30pm-1:30pm Room: UC 122 | Ben Dyhr Metropolitan State University of Denver | |
February 16, 2017 12:30pm-1:30pm Room: OSB A327 | Janos Englander University of Colorado Boulder | |
March 16, 2017 12:30pm-1:30pm Room: UC 126 | Iddo Ben Ari University of Connecticut | The Bak-Sneppen Model of Biological Evolution and Related Models |
March 23, 2017 12:30pm-1:30pm Room: UC 122 | Diego Dominici SUNY New Paltz | |
April 6, 2017 12:30pm-1:30pm Room: Osborne A327 | Anna Weigandt University of Illinois Urbana-Champaign | |
April 20, 2017 12:30pm-1:30pm Room: OSB A327 | Boris Hanin MIT | Pairing between zeros and critical points of random polynomials
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May 4, 2017 12:30pm-1:30pm Room: OSB A327 | Dr. Wojciech Kossek UCCS | Should you quit your job and start working on the |
Fall 2016 | ||
September 8, 2016 12:30pm-1:30pm Room: OSB A327 | Brandon Runnels UCCS | Modeling grain boundaries in metals with optimal transportation theory, calculus of variations, and the phase field method. |
September 22, 2016 12:30pm-1:30pm Room: University Center 303 | Dr. Bengt Fornberg University of Colorado, Boulder | Numerical Solutions of the Painlevé Equations |
October 6, 2016 12:30pm-1:30pm Room: Osborne Center A204 | Dr. Benjamin Steinberg City College of New York | Representation Theory and Random Walks |
October 13, 2016 12:30pm-1:30pm Room: OSB A327 | Dr. Cornelis van der Mee University of Cagliari | Exact Solutions of Integrable Nonlinear Evolution Equations. |
October 20, 2016 12:30pm-1:30pm Room: Kraemer Family Library 3rd floor Apse | Dr. James Mitchell University of St. Andrews Distinguished Mathematics Lecturer | |
November 3, 2016 12:30pm-1:30pm Room: OSB A327 | Dr. Thomas Bothner University of Michigan | Painlevé Functions in Statistical Physics
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November 15, 2016 12:30pm-1:30pm Room: OSB A204 | Dr. David Aristoff Colorado State University | |
December 1, 2016 12:30pm-1:30pm Room: OSB A204 | Mr. Andrew Kelley Binghamton University | |
Spring 2016 | ||
February 4, 2016 12:15pm-1:30pm 3rd Floor Library Apse | Mette Olufsen North Carolina State University | |
February 18, 2016 12:15pm-1:30pm OSB A327 | Jose Martell Instituto de Ciencias Matematicas (Madrid) | The Dirichelt Problem for Elliptic Systems in the Upper-Half Plane |
February 18, 2010 12:15pm-1:30pm OSB A327 | Dionyssios Mantzavinos SUNY Buffalo | Initial Value Problems and Initial-Boundary Value Problems for Nonlinear Evolution Equations |
March 3, 2016 12:15pm-1:30pm OSB A327 | Iddo Ben-Ari University of Connecticut | |
March 15, 2016 12:15pm-1:30pm OSB A327 | Damiano Fulghesu Minnesota State, University Moorhead | |
March 17, 2016 12:15pm-1:30pm OSB A327 | Alessando Zampini University of Luxembourg | Hodge-de Rham Operator on (some) Classical and Quantum Spheres |
March 31, 2016 12:15pm-1:30pm OSB A327 | Paul Horn University of Denver | |
April 14, 2016 12:15pm-1:30pm OSB A327 | Vassilis Rothos Aristotle University of Thessaloniki | Adiabatic Perturbation Theory for Vector NLS and Application in BECs |
Fall 2015 | ||
September 17, 2015 12:15pm-1:30pm UC 122 | Sean O'Rourke CU Boulder | Singular values and vectors under random perturbation |
September 24, 2015 12:15pm-1:30pm OSB A327 | Anton Dzhamay University of Northern Colorado | Bäcklund transformations, discrete Painlevé equations, and Sakai’s geometric classification scheme |
October 8, 2015 12:15pm-1:30pm Kraemer Family Library 3rd Floor APSE | James M. Keiser Laboratory for Analytic Sciences National Security Agency (NSA) | Applied Mathematics and the Science of Analysis |
October 22, 2015 12:15pm-1:30pm OSB A327 | Troy Butler University of Colorado- Denver | End-to-end quantification of uncertainty using measure theory |
November 5, 2015 12:15pm-1:30pm OSB A327 | John Wierman Johns Hopkins University | A disproof of Tsallis’ conjecture for the exact bond percolation threshold of the kagome lattice |
November 19, 2015 12:15pm-1:30pm OSB A327 | Greg Oman University of Colorado -Colorado Springs | Turning automatic continuity around: automatic homomorphisms |
December 3, 2015 12:15pm-1:30pm OSB A327 | Mei Yin University of Denver | A gentle introduction to exponential random graphs |
Spring 2015 | ||
January 29, 2015 12:30pm-1:30pm OSB A327 | Barbara Prinari UCCS Math | Mathematical models for the ward atmosphere in a medical unit |
February 24, 2015 12:30pm-1:30pm OSB A327 | Oksana Bihun Concordia College | Goldfishing: Solvable N-Body Problems and Beyond |
February 26, 2015 12:30pm-1:30pm OSB A327 | Matthew Johnston University of Wisconsin | Recent Results in the Modeling of Chemical Reaction Systems |
March, 3, 2015 12:30pm-1:30pm OSB A327 | Theodoros Horikis University of Ioannina | Monsters of the Deep: Rogue Waves |
March, 19, 2015 12:30pm-1:30pm OSB A327 | Sarbarish Chakravarty UCCS Math | Nonlinear ODEs whose solutions are modular functions |
March, 12, 2015 12:30pm-1:30pm OSB A327 | Anca Radulescu SUNY New Paltz | Dynamic networks and templates: from hardwiring to temporal behavior |
April 14, 2015 12:30pm-1:30pm OSB A327 | Mahadevan Ganesh Colorado School of Mines | Random triangulations of genus g surfaces |
April 9, 2015 12:30pm-1:30pm OSB A327 | Virgil U. Pierce UTPA | Theoretical framework for the description of transmembrane receptor cluster coalescence in cells |
April 23, 2015 12:30pm-1:30pm OSB A327 | Kathrin Spendier UCCS Physics | Theoretical framework for the description of transmembrane receptor cluster coalescence in cells |
April 30, 2015 12:30pm-1:30pm OSB A327 | Cristobal Gil University of Malaga, Spain | Leavitt path algebras of Cayley graphs |
May 7, 2015 12:30pm-1:30pm OSB A327 | Alberto Tonolo University of Padova (Italy) | Equivalences between categories of modules |
Fall 2014 | ||
September 4, 2014 12:30pm-1:30pm OSB A327 | Radu Cascaval UCCS Math | Mesoscopic Models for Flow in Spatial Networks The dynamics of flows in spatial networks, such as the pressure-driven blood flow in the human arterial network or the flow of cars in a traffic network, is most suitably described by PDE-based 'macroscopic' models. To cope with the computational complexity, often simplified models are employed, including at the level of individual particle tracking, usually called 'microscopic' models. Here we describe a mathematical model for blood flow in vascular networks, and compare numerical solutions of the underlying system of PDEs with those of a simplified models, based on pulse-tracking arguments (mesoscopic models). We then use these models to study flow optimization task, for variable size and/or topology of the network. Physiologically realistic control mechanisms are tested in the context of these simplified models. Video Lecture (archived) |
September 18, 2014 12:30pm-1:30pm OSB A327 | Gene Abrams UCCS Math | The ubiquity of the Fibonacci Sequence: It comes up in the study of Leavitt path algebras too! The majority of this talk should be quite accessible to math majors, to graduate students, even to math faculty: indeed, to anyone who has heard of the Fibonacci sequence ... Since its origin (more than eight centuries ago) as a puzzle about the number of rabbits in a (fantasmagorically expanding) colony, the Fibonacci Sequence 1,1,2,3,5,8,13,... has arguably become the most well-known of numerical lists, due in part to its simple recursion formula, as well as to the numerous connections it enjoys with many branches of mathematics and science. Since its origin (less than ten years ago), the study of Leavitt path algebras (a type of algebraic object which arises from directed graphs) has been the focus of much research energy throughout the mathematical world (well, at least throughout the ring-theory world), especially here at UCCS. In this talk we'll show how Fibonacci's sequence is naturally connected to data associated with the Leavitt path algebras of a natural collection of directed graphs. No prior knowledge about Leavitt path algebras will be required. [But in fact we will show how to compute the Grothendieck group $K_0(L(E))$ of the Leavitt path algebra $L(E)$ for a directed graph $E$, by considering only elementary-level properties of the graph. Those properties will lead us directly to Fibonacci. Plenty of easy-to-see examples will be given.] This is joint work with Gonzalo Aranda Pino of the University of Malaga (Spain). Many of you have met Gonzalo: he is a very frequent visitor to UCCS. |
October 2, 2014 12:30pm-1:30pm UC 116 A | Annalisa Calini College of Charleston | Integrable Curve Flows: the solitary travels of a vortex filament The Vortex Filament Equation, describing the self-induced motion of a vortex filament in an ideal fluid, is a simple but important example of integrable curve dynamics. Its connection with the cubing focusing Nonlinear Schrodinger equation through the well-known Hasimoto map allows the use of many of the tools of soliton theory to study properties of its solutions. I will discuss the construction of knotted solutions, their dynamics, and their stability properties. Video Lecture (archived) |
October 9, 2014 12:30pm-1:30pm OSB A327 | Jonathan Brown University of Dayton | The center of rings associated to directed graphs In 2005 Abrams and Aranda Pino began a program studying rings constructed from directed graphs. These rings, called Leavitt Path algebras, generalized the rings without invariant basis number introduced by Leavitt in the 1950's. Leavitt path algebras are the algebraic analogues of the graph C*-algebras and have provided a bridge for communication between ring theorists and operator algebraists. Many of the properties of Leavitt path algebras can be inferred from properties of the graph, and for this reason provide a convenient way to construct examples of algebras with a particular set of attributes. In this talk we will explore how central elements of the algebra can be read from the graph. Video Lecture (archived) |
October 23, 2014 12:30pm-1:30pm Library APSE | Jason P. Bell University of Waterloo | Game theory and the mathematics of altruism Game theory is a branch of mathematics that deals with strategy and decision making and is applied in economics, computer science, biology, and many other disciplines as well. We will discuss some of the basic points of game theory and discuss the so-called iterated prisoner dilemma, a game that is of central importance in the study of cooperation between individuals. We will then describe various strategies to this game and explain why altruism is something that can evolve naturally. Video Lecture (archived) |
November 6, 2014 12:30pm-1:30pm UC 122 | Robert Carlson UCCS Math | Myopic Models of Population Dynamics on Infinite Networks Population models In mathematical biology often use equations blending diffusion (for movement) with local descriptions of population growth and multispecies interactions (reaction diffusion models). A modern problem is how to make sense of such models on gigantic networks such as the human population or the World Wide Web. One approach is to work in a space of functions which 'look flat' at 'infinity'. A correct formulation of this idea supports a theory of reaction-diffusion models on infinite networks where the network is compactified by adding points at infinity, diffusive effects vanish at infinity, and finite dimensional approximations can be described |
November 20, 2014 12:30pm-1:30pm OSB A327 | Karen Livesey UCCS Physics | Nonlinear magnetization dynamics in nanoparticles and thin films Even the simplest magnetic system can undergo unusual nonlinear dynamics. In this talk I will discuss two magnetic systems that display unexpected nonlinear phenomena. Firstly, the magnetization dynamics in a nanoparticle will be detailed. It is found that the transient dynamics in this system can be made to persist for extremely long times when the nanoparticle is driven by oscillating magnetic fields at a very particular frequency and strength. [1] Secondly, thin magnetic films will be discussed and a perturbative expansion of nonlinear dynamic terms will be presented. In thin films, the threshold above which the system is driven nonlinear depends sensitively on the thickness of the film. [2] Connections to experiments will briefly be mentioned. [1] M.G. Phelps, K.L. Livesey and R.E. Camley, in preparation (2014). [2] K.L. Livesey, M.P. Kostylev and R.L. Stamps, Phys. Rev. B. 75, 174427 (2007). |
December 4, 2014 12:30pm-1:30pm OSB A327 | Mark Hoefer CU Boulder App Math Dept | Experiments on Solitons, Dispersive Shock Waves, and Their Interactions A soliton is a localized traveling wave solution to a special class of partial differential equations (integrable equations). A defining property of solitons is their interaction behavior. In his seminal work of 1968 introducing a notion of integrability (the Lax pair), Peter Lax also proved that the Korteweg-de Vries (KdV) equation admits two soliton solutions whose interaction behavior is quite remarkable. Two solitons interact elastically, i.e., each soliton maintains the same speed and shape post-interaction as they had pre-interaction. Moreover, Lax classified the interaction geometry into three categories depending on the soliton amplitude ratio. This talk will present a physical medium (corn syrup and water) modeled by the KdV equation in the weakly nonlinear regime that supports approximate solitons. Numerical analysis and laboratory experiments will be used to show that the three Lax categories persist into the strongly nonlinear regime, beyond the applicability of the KdV model. Additionally, a wavetrain of solitons called a dispersive shock wave in this medium will be described and investigated using a nonlinear wave averaging technique (Whitham theory) and experiment. Interactions of dispersive shock waves and solitons reveal remarkable behavior including soliton refraction, soliton absorption, and two-phase dynamics. |
Spring 2014 | ||
February 6, 2014 | Gino Biondini SUNY Buffalo | A unified approach to boundary value problems: Over the last fifteen years, A unified approach has recently been developed to solve boundary value problems (BVPs) for integrable nonlinear partial differential equations (PDEs). The approach is a generalization of the inverse scattering transform (IST), which was originally introduced in the 1970's to solve initial value problems for such PDEs. Interestingly, this approach also provides a novel and powerful way to solve BVPs for linear PDEs. This talk will discuss the application of this method for linear PDEs. Specifically, we will look in detail at the solution of BVPs on the half line (0<x<infty) for linear evolution PDEs in 1 spatial and 1 temporal dimension. Time permitting, two-point BVPs, multi-dimensional PDEs and BVPs for linear elliptic PDEs will also be discussed. |
February 20, 2014 | Greg Morrow UCCS Math | Distribution of Runs in Gambler's Ruin |
March 20, 2014 | John Villavert University of Oklahoma | Sharp existence and Liouville type theorems for a class of weighted integral equations |
April 3, 2014 | Dr. Kulumani Rangswamy UCCS Math | The Leavitt path algebras of arbitrary graphs over a field |
May 1, 2014 | Mark Tomforde University of Houston | Using results from dynamical systems to classify algebras and C*-algebras |
Fall 2013 | ||
August 29, 2013 | Zak Mesyan UCCS Math | Evaluating Polynomials on Matrices: A classical theorem of Shoda from 1936 says that over any field K (of characteristic 0), every matrix with trace 0 can be expressed as a commutator AB-BA, or stated another way, that evaluating the polynomial f(x,y)=xy-yx on matrices over K gives precisely all the matrices having trace 0. I will describe various attempts over the years to generalize this result. |
September 19, 2013 | Robert Buckingham University of Cincinnati | Large equilibrium configurations of two-dimensional fluid vortices The point-vortex equations, a discretization of the Euler equations, describe the motion of collections of two-dimensional fluid vortices. The poles and zeros of rational solutions to the Painleve II equation describe equilibrium configurations of vortices of the same strength and mixed rotation directions. There is an infinite sequence of such rational solutions with an increasing number of poles and zeros. In joint work with P. Miller (Michigan), we compute detailed asymptotic behavior of these rational functions with error estimates. Our results include the limiting density of vortices for these configurations. We will also describe how knowledge of the asymptotic behavior of the rational Painleve II functions is useful in understanding critical phenomena in the solution of nonlinear wave equations. |
October 3, 2013 | Peter Perry University of Cincinnati | Solving non-linear dispersive equations by the method of inverse scattering: The celebrated Korteweg-de Vries (KdV) equation and the nonlinear Schrodinger (NLS) equations are partial differential equation that describe the motion of weakly nonlinear long waves in a narrow channel. They predict "solitary waves" which do not disperse, which have been observed in nature, and used in many applications. In this lecture we'll talk about the "KdV miracle" of complete integrability that explains the solitary waves and establishes a remarkable connection between these equation and quantum mechanics. We will also discuss work in progress involving generalizations of the KdV and NLS equations to two space dimensions that describe surface waves and, like their one-dimensional counterpart, are completely integrable. |
October 17, 2013 | Joseph Watkins University of Arizona | |
October 31, 2013 | Douglas Baldwin University of Colorado-Boulder | Dispersive shock waves and shallow ocean-wave line-soliton interactions: Many physical phenomena are understood and modeled with nonlinear partial differential equations (PDEs). A special subclass of these nonlinear PDEs has stable localized waves -- called solitons -- with important applications in engineering and physics. I'll talk about two such applications: dispersive shock waves and shallow ocean-wave line-soliton interactions. Dispersive shock waves (DSWs) occur in systems dominated by weak dispersion and weak nonlinearity. The Korteweg de Vries (KdV) equation is the universal model for phenomena with weak dispersion and weak quadratic nonlinearity. I'll show that the long-time asymptotic solution of the KdV equation for general step-like data is a single-phase DSW; the boundary data determine its form and the initial data determine its position. I find this asymptotic solution using the inverse scattering transform (IST) and matched-asymptotic expansions. Ocean waves are complex and often turbulent. While most ocean-wave interactions are essentially linear, sometimes two or more waves interact in a nonlinear way. For example, two or more waves can interact and yield waves that are much taller than the sum of the original wave heights. Most of these nonlinear interactions look like an X or a Y or an H from above; much less frequently, several lines appear on each side of the interaction region. It was thought that such nonlinear interactions are rare events: they are not. I'll show photographs and videos of such interactions, which occur every day,close to low tide, on two flat beaches that are about 2,000 km apart. These interactions are related to the analytic, soliton solutions of the Kadomtsev Petviashvili equation, which extended the KdV equation to include transverse effects. On a much larger scale, tsunami waves can merge in similar ways. |
November 7, 2013 | Ryan Berndt Otterbein University-Western Ohio | Weight Problems in Harmonic Analysis, Especially the Fourier Transform: Three important operators in harmonic analysis include the maximal operator, the singular integral operator, and the Fourier transform. A recurring problem in studying these operators is measuring the ''size" of an output function given some knowledge of the size of the input function--that is, finding the mapping properties of the operator. A further complication is introduced by using weighted measures of size. Determining whether an operator maps a weighted space into another weighted space is sometimes referred to as a ''weight problem" for the operator. The weight problem is completely solved for the maximal operator,mostly solved for the singular integral operator, but unsolved for the Fourier transform. This is peculiar, since the Fourier transform is, in fact, the most widely used and oldest of the operators. In this talk I will review weight problems, their solutions, and focus especially on recent progress on the weight problem for the Fourier transform. |
November 14, 2013 | Yu Zhang UCCS Math | Large Deviations in The Reinforced Random Walk Model on Trees In this talk, we consider the linearly reinforced and the once-reinforced random walk models in the transient phase on trees. We show the large deviations for the upper tails for both models. We also show the exponential decay for the lower tail in the once-reinforced random walk model. However,the lower tail is in polynomial decay for the linearly reinforced random walk model. |
Spring 2013 | ||
Jan 13, 2013 | Robert Carlson UCCS Math | |
February 14, 2013 | Sandra Carillo University of Rome "La Sapienza" (ITALY) | Evolution Problems in Materials with Memory & Free Energy Functionals |
March 21, 2013 | Murad Ozaydin University of Oklahoma | The Linear Diophantine Frobenius Problem: An Elementary Introduction to Numerical Monoids |
April 11, 2013 | Kenichi Maruno University of Pan American Texas | |
April 25, 2013 | Graduate Student Presentations (M.S.) UCCS Math | TBA |
April 30, 2013 | Mercedes Siles Molina University of Malaga | |
Fall 2012 | ||
August 23, 2012 | Natasha Flyer NCAR (Boulder) | Improving Numerical Accuracy for Solving Evolutionary PDEs in the Presence of Corner Singularities |
August 23, 2012 | Greg Oman UCCS Math | |
Sept 20, 2012 | Jerry L. Bona University of Illinois at Chicago | |
October 18, 2012 | Keith Julien CU Boulder | |
November 1, 2012 | Gregory Beylkin CU Boulder | |
November 2, 2012 | Brian Rider CU Boulder | |
November 15, 2012 | Muge Kanuni Er Boğaziçi University - Istanbul, Turkey | |
November 29, 2012 | Yuji Kodama Ohio State Univ | |
December 6, 2012 | David England UCCS Math | |
December 6, 2012 | Joshua Carnahan UCCS Math | |
December 13, 2012 | Geraldo De Souza Auburn University | |
Spring 2012 | ||
January 26, 2012 | Eric Sullivan CU Denver | Development of Governing Equations for Unsaturated Porous Media and An Overview of Hybrid Mixture Theory |
February 16, 2012 | Sergio Lopez Ohio University | Alternative Perspectives in Module Theory |
March 8, 2012 | Stefan Erickson Colorado College | Zeta Functions and L-Functions in Number Theory |
March 22, 2012 | John Griesmer Ohio State University | Inverse Theorems in Additive Combinatorics |
April 5, 2012 | Cory Ahrens Colorado School of Mines | Quadratures for the sphere, MRIs and radiation transport, what they have in common |
April 19, 2012 | Patrick Shipman Colorado State University | Patterns induced by nucleation and growth in biological and atmospheric systems |
May 10, 2012 | Giuseppe Coclite University of Bari, Italy | Vanishing viscosity on networks |
Fall 2011 | ||
August 10, 2011 | Jason Bell San Fraser University | Primitivity in Leavitt Path Algebras |
September 2, 2011 | Yasunari Higuchi and Masato Takei Kobe University and Osaka Electro-Communication University | Critical Behavior for percolation in the 2D high-temperature Ising model |
September 27, 2011 | Omer Angel University of British Columbia | 2011 Distinguished Math Lecture: Random Planar Maps |
October 13, 2011 | Robert Carlson UCCS Math | After the Explosion: An Analytical Look at Boundary Problems for Continuous Time Markov Chains |
October 20, 2011 | Willy Hereman Colorado School of Mines | Symbolic Computation of Conservation Laws of Nonlinear Particle Differential Equations |
October 27, 2011 | Hector Lomeli University of Texas- Austin | Parameterization of Invariant Manifolds for Lagrangian Systems with Long-range Interactions |
November 3, 2011 | Gino Biondini The State University of New York - Buffalo | Solitons, boundary value problems and a nonlinear method of images |
November 10, 2011 | Boaz Ilan University of California - Merced | Luminescent solar concentrators, photon transport, and affordable solar harvesting |
November 17, 2011 | James Meiss University of Colorado - Boulder | Transport and Mixing in Time-Dependent Flows |
December 1, 2011 | Ryan Schwiebert Slippery Rock University | Faithful torsion modules and rings |
December 8, 2011 | Gregory Lyng University of Wyoming | Evans functions and the stability of viscous shock and detonation waves |
Spring 2011 | ||
January 27, 2011 | Christopher Wade Curtis University of Colorado - Boulder | On the Evolution of Perturbations to Solutions of the KP Equation using the Benney-Luke Equation |
February 3, 2011 | Alexander Woo St Olaf College | |
February 10, 2011 | Deena Schmidt Ohio State University | |
February 15, 2011 | Gregory Oman Ohio University | |
February 28, 2011 | Sandra Carillo University of Rome Sapienza | Baecklund transformations, Recursion Techniques and Noncommutative soliton solutions |
March 10, 2011 | Bengt Fornberg University of Colorado - Boulder | |
April 12, 2011 | Antonio Moro SISSA Trieste- Italy | |
April 14, 2011 | Harvey Segur University of Colorado - Boulder | |
April 18, 2011 | Graduate Student Presentations UCCS | Various |
May 5, 2011 | James Mitchell University of St. Andrews | |
Fall 2010 | ||
August 26, 2010 | Dr. Florian Sobieczky Friedrich Schiller University | |
September 9, 2010 | Dr. Yi Zhu University of Colorado - Boulder | Unified description of Bloch envelope dynamics in the 2D nonlinear periodic lattices |
September 23, 2010 | Geraldo Soares de Souza Auburn University | A New Proof of Carleson's Theorem |
September 30, 2010 | Dr. Gene Abrams UCCS Math | |
October 14, 2010 | Dr. William Kath Northwestern University | 2010 Distinguished Math Lecture: Computational Modeling of Neurons |
October 21, 2010 | Janos Englander University of Colorado - Boulder | |
November 4, 2010 | Andrea Bruder Colorado College | The Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators |
November 11, 2010 | Dr. Marek Grabowski UCCS Physics Department | |
Spring 2010 | ||
January 19, 2010 | Dr. Brian Hopkins Saint Peter's College | |
February 11, 2010 | Alex Dugas University of California, Santa Barbara | Representations, quivers and periodicity |
February 18, 2010 | Manuel Reyes University of California, Berkeley | Theorems of Cohen and Kaplansky: from commutative to noncommutative algebra |
February 25, 2010 | Dr. Zachary Mesyan Ben-Gurion University, Israel | |
March 4, 2010 | Dr. Mark Hoefer North Carolina State University | |
March 18, 2010 | Dr. Boaz Ilan University of California, Merced | |
April 1, 2010 | Dr. Michael Dorff BYU | |
April 15, 2010 | Theodoros Horikis University of Colorado - Boulder | Excited Bose-Einstein Condensates: Quadrupole Oscillations and Dark Solitons |
April 22, 2010 | Dr. Mihai Bostan University of Besancon | |
April 29, 2010 | Dr. Bob Carlson Department of Mathematics, UCCS | Nonconservative Transmission Line Networks, or Jordan normal form for some differential equations |
Fall 2009 | ||
September 10, 2009 | Dr. Anton Dzhamay School of Mathematical Science, Univ of Northern Colorado | "Factorizations of rational matrix functions with applications to discrete integrable systems and discrete Painlevé equations" |
September 24, 2009 | Dr. Bob Carlson Department of Mathematics, UCCS | Harmonic Analysis for Star Graphs and the Spherical Coordinate Trapezoidal Rule |
October 8, 2009 | Dr. Mark Ablowitz Department of Applied Math University of Colorado, Boulder | |
November 5, 2009 | Dr. Luca Gerardo Giorda Department of Mathematics, Emory University | |
November 19, 2009 | Dr. Juan G. Restrepo Department of Applied Mathematics, Univ of Colorado at Boulder | Synchronization of Oscillators with Noisy Frequency Adaptation |
December 3, 2009 | Dr. Wojciech Kosek Department of Mathematics Colorado Technical University | What do stock market and positive L1 operators have in common? |
Spring 2009 | ||
January 22, 2009 | Dr. Herve Guiol INP Grenoble | Almost sure scaling limit for monotone interacting particles systems in one dimension. |
January 29,2009 | Fabio Machado University of Sao Paulo | Non-homogeneous random walks systems on Z |
February 12, 2009 | Mingzhong Wu Department of Physics Colorado State Univ. | Excitation of chaotic spin waves through three-wave and four-wave interactions |
February 17, 2009 | Scott Annin California State Univ. Department of Mathematics | Using Special Ideals to Illustrate a Research Philosophy in Ring Theory |
February 19, 2009 | Brigitta Vermesi University of Rochester Department of Mathematics | Critical exponents for Brownian motion and random walk |
February 26, 2009 | Barbara Prinari Dipartimento di Fisica Università del Salento (Lecce) | Integrable Systems, Inverse Scattering Transform and Solitons |
March 12, 2009 | Lincoln Carr Department of Physics Colorado School of Mines | Emergent Time Scales in Ultracold Molecules in Optical Lattices [Joint Math/Physics Colloquium] |
March 19, 2009 | Bernard Junot UCLA | How Statistics Explain What Cancer Is |
April 2, 2009 | Radu Cascaval Department of Mathematics UCCS | Bi-directional wave propagation in the human arterial tree |
April 9, 2009 | Gene Abrams Department of Mathematics UCCS | The uncanny resemblance between Leavitt path algebras and graph C*-algebras |
April 17, 2009 | Gilbert Strang Department of Mathematics MIT | Linear Algebra and Random Triangles |
April 30, 2009 | Pere Ara Universidad Autonoma de Barcelona | K-theory for Leavitt path algebras |
Spring 2008 | ||
Jan 31, 2008 | Robert Carlson Department of Mathematics UCCS | Hunting for Eigenvalues of Quantum Graphs |
Feb 21, 2008 | Radu Cascaval Department of Mathematics UCCS | On the Soliton Resolution Conjecture |
Mar 6, 2008 | Yu Zhang Department of Mathematics UCCS | Limit Theorems for Maximum Flows on a Lattice |
Apr 3, 2008 | Enrique Pardo Universidad de Cadiz (Spain) | The Classification Question for Leavitt Path Algebras |
Apr 17, 2008 | Robert Carlson Department of Mathematics UCCS | Bringing Matlab into Introductory Differential Equations |
May 1, 2008 | Tim Huber Iowa State University | Parametric representations for Eisenstein series from Ramanujan's differential equations |
May 6, 2008 | Mercedes Siles Molina Universidad de Málaga(Spain) | Classification Theorems for Acyclic Leavitt Path Algebras |
May 8, 2008 | John D. Lorch Ball State University | Sudoku and Orthogonality |
Fall 2008 | ||
September 11, 2008 | Mark W. Coffey Colorado School of Mines Department of Physics | Feynman diagrams, integrals, and special functions |
September 25, 2008 | Kulumani Rangaswamy University of Colorado Department of Mathematics | On Leavitt path algebras over infinite graphs |
October 10, 2008 | Steve Krone University of Idaho Department of Mathematics | Spatial self-organization in cyclic particle systems |
October 23, 2008 | Anca Radulescu Applied Mathematics University of Colorado at Boulder | The Multiple Personality of Schizophrenia |
November 6, 2008 | Chihoon Lee Department of Statistics Colorado State University | Diffusion Approximations to Stability and Control Problems for Stochastic Networks in Heavy Traffic |
November 20, 2008 | David Bortz Applied Mathematics Univ of Colorado at Boulder | Mathematics and Biology in the 21st Century (joint math and biology colloquium) |
December 11, 2008 | Alessandro Veneziani Mathematics & Comp Sci Emory University | Geometrical Multiscale Models of the Cardiovascular System |