Fall 2018
SpeakerTitle / Abstract
Dr. Robert Carlson
UCCS
September 6, 2018
12:15pm1:30pm
Room: OSB A327
Title: Complex Analytic Functions and Differential Operators
Dr. Katherine Stange
Univ. of Colorado, Boulder
September 20, 2018
12:15pm1:30pm
Room:
University Center #124
Title: From Farey Sequences to Apollonian Circle Packings
Dr. Robert Jenkins
Colorado State University
November 15, 2018
12:15pm1:30pm
Room: UC 122
Title: Soliton Resolution for dispersive nonlinear wave equations
K.M. Rangaswamy
UCCS
November 29, 2018
12:30pm1:30pm
Room: Osborne A327
Victor Ginting
University Wyoming
February 1, 2018
12:15pm1:30pm
Room: OSBORNE A204
Title: Multiscale Methods for Flow and Transport in Porous Media
Martin Mohlenkamp
Ohio University
February 15, 2018
12:15pm1:30pm
Room: Osborne A327
Title: The Hunt for the Swamp Monster
Benedetto Piccoli
Rutgers University (Joint with MAE)
Fri, March 2, 2018
12:15pm1:30pm
Room: Theater, University Center Room #302
Title: Control methods for large groups: multiscale models for social dynamics
Igor Rumanov
CUBoulder
March 15, 2018
12:15pm1:30pm
Room: Osborne A327
Title: Whitman modulation theory developments and open problems
Kathy Driver
University Pretoria
Distinguished Math Lecturer
April 5, 2018
12:15pm1:30pm
Room: Theater University Center Room #302
Title: Interlacing of zeros and Wendroff's Theorem
Stanislav Volkov
Lund University, Sweden
May 24, 2018
12:30pm1:30pm
Room: Osborne A327
Title: 5x+1: how many go down?
Fall 2017
Speaker  Title / Abstract 

Robert Carlson UCCS September 14, 2017 12:15pm1:30pm Room: Osborne A327 
Title: Analytic problems of SturmLiouville type 
Fritz Gesztesy Baylor University September 28, 2017 12:15pm1:30pm Room: Osborne A327 
Title: On factorizations of differential operators and HardyRellichtype inequalities Presentation Slides: Click here to view the PPT slides of this presentation 
Michael Jay Stutzer CU Boulder Tuesday October 17, 2017 12:15pm1:30pm Room: Osborne A327 
Title: The Statistical Theory of Large Deviations Way to Gamble or Invest...If You Must 
Dan Bossaller Ohio University 12:15pm1:30pm October 26, 2017 Room: University Center Room #122 
Title: Associativity and Infinite Matrices 
Dr. Alessandro Arsie The University of Toledo 12:15pm1:30pm November 9, 2017 Room:Osborne A327 
Title: Biflat Fmanifolds and Integrable Conservation Laws  an overview 
Colloquium Speaker  Title / Abstract 

Ben Dyhr Metropolitan State University of Denver February 9, 2017 12:15pm1:30pm Room: UC 122 
Title: The fractal geometry of SchrammLoewner Evolution (SLE) 
Janos Englander University of Colorado Boulder February 16, 2017 12:15pm1:30pm Room: OSB A327 

Iddo Ben Ari University of Connecticut March 16, 2017 12:15pm1:30pm Room: UC 126 
Title: The BakSneppen Model of Biological Evolution and Related Models 
Diego Dominici SUNY New Paltz March 23, 2017 Room: UC 122 
Title: The Toda lattice and semiclassical orthogonal polynomials 
Anna Weigandt University of Illinois UrbanaChampaign April 6, 2017 Room: Osborne A327 

Boris Hanin MIT April 20, 2017 Room: OSB A327 
Title: Pairing between zeros and critical points of random polynomials

Dr. Wojciech Kossek Mathematics Department UCCS May 4, 2017 Room: OSB A327 
Title: Should you quit your job and start working on the 
Colloquium Speaker  Title / Abstract 

Brandon Runnels University of Colorado Colorado Springs September 8, 2016 12:15pm1:30pm 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 

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 

Mr. Andrew Kelley Department of Mathematical Sciences Binghamton University December 1, 2016 Room: OSB A204 
Speaker  Title / Abstract 

Mette Olufsen North Carolina State University February 4, 2016 12:15pm1:30pm 3rd Floor Library Apse 

Jose Martell Instituto de Ciencias Matematicas (Madrid) February 18, 2016 12:15pm1:30pm OSB A327 
The Dirichelt Problem for Elliptic Systems in the UpperHalf Plane 
Dionyssios Mantzavinos SUNY Buffalo February 18, 2010 12:15pm1:30pm OSB A327 
Initial Value Problems and InitialBoundary Value Problems for Nonlinear Evolution Equations 
Iddo BenAri University of Connecticut March 3, 2016 12:15pm1:30pm OSB A327 

Damiano Fulghesu Minnesota State, University Moorhead March 15, 2016 12:15pm1:30pm OSB A327 

Alessando Zampini University of Luxembourg March 17, 2016 12:15pm1:30pm OSB A327 
Hodgede Rham Operator on (some) Classical and Quantum Spheres 
Paul Horn University of Denver March 31, 2016 12:15pm1:30pm OSB A327 

Vassilis Rothos Aristotle University of Thessaloniki April 14, 2016 12:15pm1:30pm OSB A327 
Adiabatic Perturbation Theory for Vector NLS and Application in BECs 
Speaker  Title / Abstract 

Sean O'Rourke CU Boulder September 17, 2015 12:15pm1:30pm UC 122 
Singular values and vectors under random perturbation 
Anton Dzhamay University of Northern Colorado September 24, 2015 12:15pm1:30pm 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 12:15pm1:30pm Kraemer Family Library 3rd Floor APSE 
Applied Mathematics and the Science of Analysis 
Troy Butler University of Colorado Denver October 22, 2015 12:15pm1:30pm OSB A327 
Endtoend quantification of uncertainty using measure theory 
John Wierman Johns Hopkins University November 5, 2015 12:15pm1:30pm 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 12:15pm1:30pm OSB A327 
Turning automatic continuity around: automatic homomorphisms 
Mei Yin University of Denver December 3, 2015 12:15pm1:30pm OSB A327 
A gentle introduction to exponential random graphs 
Speaker  Title / Abstract 

Barbara Prinari UCCS Math January 29, 2015 12:30pm1:30pm OSB A327 
Mathematical models for the ward atmosphere in a medical unit 
Oksana Bihun Concordia College February 24, 2015 12:30pm1:30pm OSB A327 
Goldfishing: Solvable NBody Problems and Beyond 
Matthew Johnston University of Wisconsin February 26, 2015 12:30pm1:30pm OSB A327 
Recent Results in the Modeling of Chemical Reaction Systems 
Theodoros Horikis University of Ioannina March, 3, 2015 12:30pm1:30pm OSB A327 
Monsters of the Deep: Rogue Waves 
Sarbarish Chakravarty UCCS Math March, 19, 2015 12:30pm1:30pm OSB A327 
Nonlinear ODEs whose solutions are modular functions 
Anca Radulescu SUNY New Paltz March, 12, 2015 12:30pm1:30pm OSB A327 
Dynamic networks and templates: from hardwiring to temporal behavior 
Mahadevan Ganesh Colorado School of Mines April 14, 2015 12:30pm1:30pm OSB A327 
Random triangulations of genus g surfaces 
Virgil U. Pierce UTPA April 9, 2015 12:30pm1:30pm OSB A327 
Theoretical framework for the description of transmembrane receptor cluster coalescence in cells 
Kathrin Spendier UCCS Physics April 23, 2015 12:30pm1:30pm OSB A327 
Theoretical framework for the description of transmembrane receptor cluster coalescence in cells 
Cristobal Gil University of Malaga, Spain April 30, 2015 12:30pm1:30pm OSB A327 
Leavitt path algebras of Cayley graphs 
Alberto Tonolo University of Padova (Italy) May 7, 2015 12:30pm1:30pm OSB A327 
Equivalences between categories of modules 
Speaker  Title / Abstract  Video / PDF 

Radu Cascaval UCCS Math September 4, 2014 12:30pm1:30pm OSB A327 
Mesoscopic Models for Flow in Spatial Networks The dynamics of flows in spatial networks, such as the pressuredriven blood flow in the human arterial network or the flow of cars in a traffic network, is most suitably described by PDEbased '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 pulsetracking 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 UCCS Math September 18, 2014 12:30pm1:30pm 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 wellknown 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 ringtheory 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 elementarylevel properties of the graph. Those properties will lead us directly to Fibonacci. Plenty of easytosee 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 12:30pm1:30pm UC 116 A 
Integrable Curve Flows: the solitary travels of a vortex filament The Vortex Filament Equation, describing the selfinduced 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 wellknown 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. 

Jonathan Brown University of Dayton October 9, 2014 12:30pm1:30pm 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. 

Jason P. Bell University of Waterloo October 23, 2014 12:30pm1:30pm 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 socalled 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. 

Robert Carlson UCCS Math November 6, 2014 12:30pm1:30pm 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 reactiondiffusion 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 http://cmes.uccs.edu/temp/colloquium110614.mov. 

Karen Livesey UCCS Physics November 20, 2014 12:30pm1:30pm 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 12:30pm1:30pm 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 Kortewegde 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 postinteraction as they had preinteraction. 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 twophase 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, twopoint BVPs, multidimensional PDEs and BVPs for linear elliptic PDEs will also be discussed. 
Greg Morrow UCCS Math February 20, 2014 

John Villavert University of Oklahoma March 20, 2014 
Sharp existence and Liouville type theorems for a class of weighted integral equations 
Dr. Kulumani Rangswamy UCCS Math 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 UCCS Math 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 ABBA, or stated another way, that evaluating the polynomial f(x,y)=xyyx 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 twodimensional fluid vortices The pointvortex equations, a discretization of the Euler equations, describe the motion of collections of twodimensional 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 nonlinear dispersive equations by the method of inverse scattering: The celebrated Kortewegde 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 onedimensional counterpart, are completely integrable. 
Joseph Watkins University of Arizona October 17, 2013 

Douglas Baldwin University of ColoradoBoulder October 31, 2013 
Dispersive shock waves and shallow oceanwave linesoliton 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 oceanwave linesoliton 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 longtime asymptotic solution of the KdV equation for general steplike data is a singlephase 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 matchedasymptotic expansions. Ocean waves are complex and often turbulent. While most oceanwave 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 UniversityWestern 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 functionthat 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 UCCS Math November 14, 2013 
Large Deviations in The Reinforced Random Walk Model on Trees In this talk, we consider the linearly reinforced and the oncereinforced 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 oncereinforced random walk model. However,the lower tail is in polynomial decay for the linearly reinforced random walk model. 
Speaker  Title / Abstract 

Robert Carlson UCCS Math Jan 13, 2013 

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 

Graduate Student Presentations (M.S.) UCCS Math April 25, 2013 
TBA 
Mercedes Siles Molina University of Malaga April 30, 2013 
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 UCCS Math August 23, 2012 

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

Keith Julien CU Boulder October 18, 2012 

Gregory Beylkin CU Boulder November 1, 2012 

Brian Rider CU Boulder November 2, 2012 

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

Yuji Kodama Ohio State Univ November 29, 2012 

David England UCCS Math December 6, 2012 

Joshua Carnahan UCCS Math December 6, 2012 

Geraldo De Souza Auburn University December 13, 2012 
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 LFunctions 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 ElectroCommunication University September 2, 2011 
Critical Behavior for percolation in the 2D hightemperature Ising model 
Omer Angel University of British Columbia September 27, 2011 
2011 Distinguished Math Lecture: Random Planar Maps 
Robert Carlson UCCS Math 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 Longrange 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 TimeDependent 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 BenneyLuke Equation 
Alexander Woo St Olaf College February 3, 2011 

Deena Schmidt Ohio State University February 10, 2011 

Gregory Oman Ohio University February 15, 2011 

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 

Antonio Moro SISSA Trieste Italy April 12, 2011 

Harvey Segur University of Colorado  Boulder April 14, 2011 

Graduate Student Presentations UCCS April 18, 2011 
Various 
James Mitchell University of St. Andrews May 5, 2011 
Speaker  Title / Abstract 

Dr. Florian Sobieczky Friedrich Schiller University August 26, 2010 

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 UCCS Math September 30, 2010 

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 

Andrea Bruder Colorado College November 4, 2010 
The Jacobi polynomials, their Sobolev orthogonality, and selfadjoint operators 
Dr. Marek Grabowski UCCS Physics Department November 11, 2010 
Speaker  Title / Abstract 

Dr. Brian Hopkins Saint Peter's College January 19, 2010 

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 BenGurion University, Israel February 25, 2010 

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

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

Dr. Michael Dorff BYU April 1, 2010 

Theodoros Horikis University of Colorado  Boulder April 15, 2010 
Excited BoseEinstein Condensates: Quadrupole Oscillations and Dark Solitons 
Dr. Mihai Bostan University of Besancon April 22, 2010 

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 

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

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 
Nonhomogeneous random walks systems on Z 
Mingzhong Wu Department of Physics Colorado State Univ. February 12, 2009 
Excitation of chaotic spin waves through threewave and fourwave 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 UCLA March 19, 2009 
How Statistics Explain What Cancer Is 
Radu Cascaval Department of Mathematics UCCS April 2, 2009 
Bidirectional 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 
Ktheory 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 selforganization 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 