Past Colloquiua


FALL 2019

SpeakerTitle / Abstract


Steven Lalley
University of Chicago

October 17, 2019


Room: UC 309

Title: Return Probabilities of Random Walks on Non-Amenable Groups



Edwin Jimenez

October 31, 2019

Room: UC 303

Title: High-order Numerical Methods for Boundary Integral Equations with
Applications to Acoustic and Electromagnetic Scattering



Justin Lynd
University of Louisiana

November 14, 2019

Room: UC 116

Title: Fusion Systems in Algebra and Topology





Spring 2019

SpeakerTitle / Abstract

Dr. Jason Boynton

March 7, 2019

Room: OSB A327

Title: Factorization in rings of polynomials of the form D+M (and generalizations)


Daniel Herden
Baylor University

March 21, 2019

Room: OSB A204

Title: Local Automorphisms and Incidence Algebras

Xinyi Li
University of Chicago

April 4, 2019

Room: OSB A204

Title: Natural parametrization for loop-erased random walk in three dimensions

Dr. John Lorch
Ball State University

April 18, 2019

Room: OSB A327

Title: Enlarging Franklin's Magic Squares

Graduate Student Presentations 

May 2, 2019

Room: OSB A327

Graduate Student Presentations (under Spring 2019)

Fall 2018

SpeakerTitle / Abstract

Dr. Robert Carlson

September 6, 2018

Room: OSB A327

Title: Complex Analytic Functions and Differential Operators

Dr. Katherine Stange
Univ. of Colorado, Boulder

September 20, 2018

University Center #124

Title:  From Farey Sequences to Apollonian Circle Packings

Dr. Robert Jenkins
Colorado State University

November 15, 2018

Room: UC 122

Title: Soliton Resolution for dispersive nonlinear wave equations


K.M. Rangaswamy

November 29, 2018

Room: Osborne A327

Title: The multiplicative ideal theory of Leavitt path algebras-
Are Leavitt path algebras really commutative algebras in non-commutative clothing?





Victor Ginting
University Wyoming

February 1, 2018
Room: OSBORNE A204

Title: Multiscale Methods for Flow and Transport in Porous Media

Martin Mohlenkamp
Ohio University

February 15, 2018
Room: Osborne A327

Title: The Hunt for the Swamp Monster

Benedetto Piccoli
Rutgers University (Joint with MAE)

Fri, March 2, 2018
Room: Theater, University Center Room #302 

Title: Control methods for large groups: multi-scale models for social dynamics

Igor Rumanov

March 15, 2018
Room: Osborne A327

 Title: Whitman modulation theory- developments and open problems

Kathy Driver
University Pretoria

Distinguished Math Lecturer

April 5, 2018
Room: Theater University Center Room #302

Title: Interlacing of zeros and Wendroff's Theorem


Stanislav Volkov
Lund University, Sweden

May 24, 2018
Room: Osborne A327

Title: 5x+1: how many go down?





Fall 2017

Speaker Title / Abstract
Robert Carlson

September 14, 2017
Room: Osborne A327
Title: Analytic problems of Sturm-Liouville type
Fritz Gesztesy 
Baylor University 

September 28, 2017
Room: Osborne A327
Title: On factorizations of differential operators and Hardy-Rellich-type inequalities

Presentation Slides: Click here to view the PPT slides of this presentation
Michael Jay Stutzer
CU Boulder

October 17, 2017

Room: Osborne A327
Title: The Statistical Theory of Large Deviations Way to Gamble or Invest...If You Must
Dan Bossaller
Ohio University 

October 26, 2017
Room: University Center Room #122
Title: Associativity and Infinite Matrices
Dr. Alessandro Arsie
The University of Toledo

November 9, 2017
Room:Osborne A327
Title: Bi-flat F-manifolds and Integrable Conservation Laws - an overview


Colloquium Speaker Title / Abstract
Brandon Runnels

University of Colorado Colorado Springs
September 8, 2016
Room: OSB A327

Title: Modeling grain boundaries in metals with optimal transportation theory, calculus of variations, and the phase field method.

Dr. Bengt Fornberg

Department of Applied Math
University of Colorado, Boulder
September 22, 2016
Room: University Center #303

Title: Numerical Solutions of the Painlevé Equations

Dr. Benjamin Steinberg

Mathematics Department
City College of New York
October 6, 2016
Room: Osborne Center #A204

Title: Representation Theory and Random Walks

Dr. Cornelis van der Mee

Department of Mathematics and Information
University of Cagliari
October 13, 2016
Room: OSB A327

Title: Exact Solutions of Integrable Nonlinear Evolution Equations.

(Distinguished Mathematics Lecture)
Dr. James Mitchell

School of Mathematics and Statistics
University of St. Andrews
October 20, 2016
Room: Kraemer Family Library 3rd floor Apse

Title: Mathematical Problems that Cannot be Solved

Dr. Thomas Bothner

Department of Mathematics
University of Michigan
November 3, 2016
Room: OSB A327

Title: Painlevé Functions in Statistical Physics


Dr. David Aristoff

Department of Mathematics
Colorado State University
Tuesday, November 15, 2016
Room: OSB A204

Title: Markov Chains, Metastability and Sampling

Mr. Andrew Kelley

Department of Mathematical Sciences
Binghamton University
December 1, 2016
Room: OSB A204

Title: Maximal Subgroup Growth of some Groups

Speaker Title / Abstract
Mette Olufsen
North Carolina State University
February 4, 2016
3rd Floor Library Apse

Patient Specific Modeling of Cardiovascular System Dynamics

Jose Martell
Instituto de Ciencias Matematicas (Madrid)
February 18, 2016
OSB A327

The Dirichelt Problem for Elliptic Systems in the Upper-Half Plane

Dionyssios Mantzavinos
SUNY Buffalo
February 18, 2010
OSB A327

Initial Value Problems and Initial-Boundary Value Problems for Nonlinear Evolution Equations

Iddo Ben-Ari
University of Connecticut
March 3, 2016
OSB A327

Coupling for Brownian Motion with Redistribution

Damiano Fulghesu
Minnesota State, University Moorhead
March 15, 2016
OSB A327

Arithmetic Sets in Groups

Alessando Zampini
University of Luxembourg
March 17, 2016
OSB A327

Hodge-de Rham Operator on (some) Classical and Quantum Spheres

Paul Horn
University of Denver
March 31, 2016
OSB A327

The Geometry of Graphs

Vassilis Rothos
Aristotle University of Thessaloniki
April 14, 2016
OSB A327

Adiabatic Perturbation Theory for Vector NLS and Application in BECs

Speaker Title / Abstract
Sean O'Rourke
CU Boulder
September 17, 2015
UC 122
Singular values and vectors under random perturbation
Anton Dzhamay
University of Northern Colorado
September 24, 2015
OSB A327
Bäcklund transformations, discrete Painlevé equations, and Sakai’s geometric classification scheme
James M. Keiser
Laboratory for Analytic Sciences National Security Agency (NSA)
October 8, 2015
Kraemer Family Library 3rd Floor APSE
Applied Mathematics and the Science of Analysis
Troy Butler
University of Colorado- Denver
October 22, 2015
OSB A327
End-to-end quantification of uncertainty using measure theory
John Wierman
Johns Hopkins University
November 5, 2015
OSB A327
A disproof of Tsallis’ conjecture for the exact bond percolation threshold of the kagome lattice
Greg Oman
University of Colorado -Colorado Springs
November 19, 2015
OSB A327
Turning automatic continuity around: automatic homomorphisms
Mei Yin
University of Denver
December 3, 2015
OSB A327
A gentle introduction to exponential random graphs
Speaker Title / Abstract
Barbara Prinari
January 29, 2015
OSB A327
Mathematical models for the ward atmosphere in a medical unit
Oksana Bihun
Concordia College
February 24, 2015
OSB A327
Goldfishing: Solvable N-Body Problems and Beyond
Matthew Johnston
University of Wisconsin
February 26, 2015
OSB A327
Recent Results in the Modeling of Chemical Reaction Systems
Theodoros Horikis
University of Ioannina
March, 3, 2015
OSB A327
Monsters of the Deep: Rogue Waves
Sarbarish Chakravarty
March, 19, 2015
OSB A327
Nonlinear ODEs whose solutions are modular functions
Anca Radulescu
SUNY New Paltz
March, 12, 2015
OSB A327
Dynamic networks and templates: from hardwiring to temporal behavior
Mahadevan Ganesh
Colorado School of Mines
April 14, 2015
OSB A327
Random triangulations of genus g surfaces
Virgil U. Pierce
April 9, 2015
OSB A327
Theoretical framework for the description of transmembrane receptor cluster coalescence in cells
Kathrin Spendier
UCCS Physics
April 23, 2015
OSB A327
Theoretical framework for the description of transmembrane receptor cluster coalescence in cells
Cristobal Gil
University of Malaga, Spain
April 30, 2015
OSB A327
Leavitt path algebras of Cayley graphs
Alberto Tonolo
University of Padova (Italy)
May 7, 2015
OSB A327
Equivalences between categories of modules
Speaker Title / Abstract Video / PDF
Radu Cascaval
September 4, 2014
OSB A327

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
Gene Abrams
September 18, 2014
OSB A327

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.

Poster (PDF)
Annalisa Calini
College of Charleston
October 2, 2014
UC 116 A

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.

Poster (PDF)

Video Lecture

Jonathan Brown
University of Dayton
October 9, 2014
OSB A327

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.

Poster (PDF)

Video Lecture

Jason P. Bell
University of Waterloo
October 23, 2014
Library APSE

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.

Poster (PDF)

Video Lecture

Robert Carlson
November 6, 2014
UC 122

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

Karen Livesey
UCCS Physics
November 20, 2014
OSB A327

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).

Mark Hoefer
CU Boulder App Math Dept
December 4, 2014
OSB A327

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.

Speaker Title / Abstract
Gino Biondini
SUNY Buffalo
February 6, 2014

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.

Greg Morrow
February 20, 2014

Distribution of Runs in Gambler's Ruin

John Villavert
University of Oklahoma
March 20, 2014

Sharp existence and Liouville type theorems for a class of weighted integral equations

Dr. Kulumani Rangswamy
April 3, 2014

The Leavitt path algebras of arbitrary graphs over a field

Mark Tomforde
University of Houston
May 1, 2014

Using results from dynamical systems to classify algebras and C*-algebras

Speaker Title / Abstract
Zak Mesyan
August 29, 2013

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.

Robert Buckingham
University of Cincinnati
September 19, 2013

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.

Peter Perry
University of Cincinnati
October 3, 2013

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.

Joseph Watkins
University of Arizona
October 17, 2013

Secrets From Deep Human History

Douglas Baldwin
University of Colorado-Boulder
October 31, 2013

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.

Ryan Berndt
Otterbein University-Western Ohio
November 7, 2013

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.

Yu Zhang
November 14, 2013

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.

Speaker Title / Abstract
Robert Carlson
Jan 13, 2013

Population Persistence in River Networks

Sandra Carillo
University of Rome "La Sapienza" (ITALY)
February 14, 2013

Evolution Problems in Materials with Memory & Free Energy Functionals

Murad Ozaydin
University of Oklahoma
March 21, 2013

The Linear Diophantine Frobenius Problem: An Elementary Introduction to Numerical Monoids

Kenichi Maruno
University of Pan American Texas
April 11, 2013

Discrete Integrable Systems

Graduate Student Presentations (M.S.)
April 25, 2013


Mercedes Siles Molina
University of Malaga
April 30, 2013

Graph algebras: from analysis to algebra and back

Speaker Title / Abstract
Natasha Flyer
NCAR (Boulder)
August 23, 2012

Improving Numerical Accuracy for Solving Evolutionary PDEs in the Presence of Corner Singularities

Greg Oman
August 23, 2012

An Independent Axiom System for the Real Numbers

Jerry L. Bona
University of Illinois at Chicago
Sept 20, 2012

Mathematics and the Ocean

Keith Julien
CU Boulder
October 18, 2012

Convective flows under strong rotational constraints

Gregory Beylkin
CU Boulder
November 1, 2012

Convective flows under strong rotational constraints

Brian Rider
CU Boulder
November 2, 2012

Extremal Laws the Real Ginibre Ensemble

Muge Kanuni Er
Boğaziçi University - Istanbul, Turkey
November 15, 2012

Incidence Algebras for Everyone

Yuji Kodama
Ohio State Univ
November 29, 2012

KP Solitons in shallow water: Mach reflection and tsunami

David England
December 6, 2012

Psudospectral Methods for Optimal Control

Joshua Carnahan
December 6, 2012

Nelder-Mead Method and Applications

Geraldo De Souza
Auburn University
December 13, 2012

Atomic Decomposition of Some Banach Spaces and Applications

Speaker Title / Abstract
Eric Sullivan
CU Denver
January 26, 2012

Development of Governing Equations for Unsaturated Porous Media and An Overview of Hybrid Mixture Theory

Sergio Lopez
Ohio University
February 16, 2012

Alternative Perspectives in Module Theory

Stefan Erickson
Colorado College
March 8, 2012

Zeta Functions and L-Functions in Number Theory

John Griesmer
Ohio State University
March 22, 2012

Inverse Theorems in Additive Combinatorics

Cory Ahrens
Colorado School of Mines
April 5, 2012

Quadratures for the sphere, MRIs and radiation transport, what they have in common

Patrick Shipman
Colorado State University
April 19, 2012

Patterns induced by nucleation and growth in biological and atmospheric systems

Giuseppe Coclite
University of Bari, Italy
May 10, 2012

Vanishing viscosity on networks

Speaker Title / Abstract
Jason Bell
San Fraser University
August 10, 2011

Primitivity in Leavitt Path Algebras

Yasunari Higuchi and Masato Takei
Kobe University and Osaka Electro-Communication University
September 2, 2011

Critical Behavior for percolation in the 2D high-temperature Ising model

Omer Angel
University of British Columbia
September 27, 2011

2011 Distinguished Math Lecture: Random Planar Maps

Robert Carlson
October 13, 2011

After the Explosion: An Analytical Look at Boundary Problems for Continuous Time Markov Chains

Willy Hereman
Colorado School of Mines
October 20, 2011

Symbolic Computation of Conservation Laws of Nonlinear Particle Differential Equations

Hector Lomeli
University of Texas- Austin
October 27, 2011

Parameterization of Invariant Manifolds for Lagrangian Systems with Long-range Interactions

Gino Biondini
The State University of New York - Buffalo
November 3, 2011

Solitons, boundary value problems and a nonlinear method of images

Boaz Ilan
University of California - Merced
November 10, 2011

Luminescent solar concentrators, photon transport, and affordable solar harvesting

James Meiss
University of Colorado - Boulder
November 17, 2011

Transport and Mixing in Time-Dependent Flows

Ryan Schwiebert
Slippery Rock University
December 1, 2011

Faithful torsion modules and rings

Gregory Lyng
University of Wyoming
December 8, 2011

Evans functions and the stability of viscous shock and detonation waves

Speaker Title / Abstract
Christopher Wade Curtis
University of Colorado - Boulder
January 27, 2011

On the Evolution of Perturbations to Solutions of the KP Equation using the Benney-Luke Equation

Alexander Woo
St Olaf College
February 3, 2011

Local properties of Schubert varieties

Deena Schmidt
Ohio State University
February 10, 2011

Stochastisity and structure in biological systems: from the evolution of gene regulation to sleep-wake dynamics

Gregory Oman
Ohio University
February 15, 2011

Jonsson Modules

Sandra Carillo
University of Rome Sapienza
February 28, 2011

Baecklund transformations, Recursion Techniques and Noncommutative soliton solutions

Bengt Fornberg
University of Colorado - Boulder
March 10, 2011

A Numerical Methodology for the Painlevé equations.

Antonio Moro
SISSA Trieste- Italy
April 12, 2011

Dispersive shock waves and Painleve' Trascendents

Harvey Segur
University of Colorado - Boulder
April 14, 2011


Graduate Student Presentations
April 18, 2011


James Mitchell
University of St. Andrews
May 5, 2011

Approximating permutations and automorphisms

Speaker Title / Abstract
Dr. Florian Sobieczky
Friedrich Schiller University
August 26, 2010

Annealed bounds for the return probability of Delayed Random Walk on finite critical percolation clusters

Dr. Yi Zhu
University of Colorado - Boulder
September 9, 2010

Unified description of Bloch envelope dynamics in the 2D nonlinear periodic lattices

Geraldo Soares de Souza
Auburn University
September 23, 2010

A New Proof of Carleson's Theorem

Dr. Gene Abrams
September 30, 2010

The Graph Menagerie

Dr. William Kath
Northwestern University
October 14, 2010

2010 Distinguished Math Lecture: Computational Modeling of Neurons

Janos Englander
University of Colorado - Boulder
October 21, 2010

An interacting branching particle model

Andrea Bruder
Colorado College
November 4, 2010

The Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators

Dr. Marek Grabowski
UCCS Physics Department
November 11, 2010

Dynamics of a Driven Spin

Speaker Title / Abstract
Dr. Brian Hopkins
Saint Peter's College
January 19, 2010

Sequential Selection and the Symmetric Group

Alex Dugas
University of California, Santa Barbara
February 11, 2010

Representations, quivers and periodicity

Manuel Reyes
University of California, Berkeley
February 18, 2010

Theorems of Cohen and Kaplansky: from commutative to noncommutative algebra

Dr. Zachary Mesyan
Ben-Gurion University, Israel
February 25, 2010

Conjugation of injections by permutations

Dr. Mark Hoefer
North Carolina State University
March 4, 2010

Supersonic Dispersive Fluid Dynamics

Dr. Boaz Ilan
University of California, Merced
March 18, 2010

Soliton Dynamics in Inhomogeneous Media

Dr. Michael Dorff
April 1, 2010

Convex combinations of harmonic mappings

Theodoros Horikis
University of Colorado - Boulder
April 15, 2010

Excited Bose-Einstein Condensates: Quadrupole Oscillations and Dark Solitons

Dr. Mihai Bostan
University of Besancon
April 22, 2010

High Field Limits for magnetized plasmas

Dr. Bob Carlson
Department of Mathematics, UCCS
April 29, 2010

Nonconservative Transmission Line Networks, or Jordan normal form for some differential equations

Speaker Title / Abstract
Dr. Anton Dzhamay
School of Mathematical Science, Univ of Northern Colorado
September 10, 2009

"Factorizations of rational matrix functions with applications to discrete integrable systems and discrete Painlevé equations"

Dr. Bob Carlson
Department of Mathematics, UCCS
September 24, 2009

Harmonic Analysis for Star Graphs and the Spherical Coordinate Trapezoidal Rule

Dr. Mark Ablowitz
Department of Applied Math University of Colorado, Boulder
October 8, 2009

Extraordinary Waves: From Beaches to Lasers

Dr. Luca Gerardo Giorda
Department of Mathematics, Emory University
November 5, 2009

Modeling the Electrical Activity of the Heart

Dr. Juan G. Restrepo
Department of Applied Mathematics, Univ of Colorado at Boulder
November 19, 2009

Synchronization of Oscillators with Noisy Frequency Adaptation

Dr. Wojciech Kosek
Department of Mathematics Colorado Technical University
December 3, 2009

What do stock market and positive L1 operators have in common?

Speaker Title / Abstract
Dr. Herve Guiol
INP Grenoble
January 22, 2009

Almost sure scaling limit for monotone interacting particles systems in one dimension.

Fabio Machado
University of Sao Paulo
January 29,2009

Non-homogeneous random walks systems on Z

Mingzhong Wu
Department of Physics Colorado State Univ.
February 12, 2009

Excitation of chaotic spin waves through three-wave and four-wave interactions

Scott Annin
California State Univ. Department of Mathematics
February 17, 2009

Using Special Ideals to Illustrate a Research Philosophy in Ring Theory

Brigitta Vermesi
University of Rochester Department of Mathematics
February 19, 2009

Critical exponents for Brownian motion and random walk

Barbara Prinari
Dipartimento di Fisica Università del Salento (Lecce)
February 26, 2009

Integrable Systems, Inverse Scattering Transform and Solitons

Lincoln Carr
Department of Physics Colorado School of Mines
March 12, 2009

Emergent Time Scales in Ultracold Molecules in Optical Lattices [Joint Math/Physics Colloquium]

Bernard Junot
March 19, 2009

How Statistics Explain What Cancer Is

Radu Cascaval
Department of Mathematics UCCS
April 2, 2009

Bi-directional wave propagation in the human arterial tree

Gene Abrams
Department of Mathematics UCCS
April 9, 2009

The uncanny resemblance between Leavitt path algebras and graph C*-algebras

Gilbert Strang
Department of Mathematics MIT
April 17, 2009

Linear Algebra and Random Triangles

Pere Ara
Universidad Autonoma de Barcelona
April 30, 2009

K-theory for Leavitt path algebras

Speaker Title / Abstract
Mark W. Coffey
Colorado School of Mines Department of Physics
September 11, 2008

Feynman diagrams, integrals, and special functions

Kulumani Rangaswamy
University of Colorado Department of Mathematics
September 25, 2008

On Leavitt path algebras over infinite graphs

Steve Krone
University of Idaho Department of Mathematics
October 10, 2008

Spatial self-organization in cyclic particle systems

Anca Radulescu
Applied Mathematics University of Colorado at Boulder
October 23, 2008

The Multiple Personality of Schizophrenia

Chihoon Lee
Department of Statistics Colorado State University
November 6, 2008

Diffusion Approximations to Stability and Control Problems for Stochastic Networks in Heavy Traffic

David Bortz
Applied Mathematics Univ of Colorado at Boulder
November 20, 2008

Mathematics and Biology in the 21st Century (joint math and biology colloquium)

Alessandro Veneziani
Mathematics & Comp Sci Emory University
December 11, 2008

Geometrical Multiscale Models of the Cardiovascular System

Speaker Title / Abstract
Robert Carlson
Department of Mathematics University of CO, Colo. Spgs.
Jan 31, 2008

Hunting for Eigenvalues of Quantum Graphs

Radu Cascaval
Department of Mathematics University of CO, Colo. Spgs.
Feb 21, 2008

On the Soliton Resolution Conjecture

Yu Zhang
Department of Mathematics University of CO, Colo. Spgs
Mar 6, 2008

Limit Theorems for Maximum Flows on a Lattice

Enrique Pardo
Universidad de Cadiz (Spain)
Apr 3, 2008

The Classification Question for Leavitt Path Algebras

Robert Carlson
Department of Mathematics University of CO, Colo. Spgs.
Apr 17, 2008

Bringing Matlab into Introductory Differential Equations

Tim Huber
Iowa State University
May 1, 2008

Parametric representations for Eisenstein series from Ramanujan's differential equations

Mercedes Siles Molina
Universidad de Málaga(Spain)
May 6, 2008

Classification Theorems for Acyclic Leavitt Path Algebras

John D. Lorch
Ball State University
May 8, 2008

Sudoku and Orthogonality