# Dynamical Systems

**Ikemefuna Agbanusi** (PhD 2013)

Faculty, Colgate University

Dissertation: Modeling Stochastic Reaction Di usion via Interactions Functions and Boundary Conditions

**Dan Alexander** (PhD 1992)

Faculty, Drake University

Dissertation: A History of Complex Dynamics from Schröder to Fatou and Julia

**Pau Atela** (PhD 1989)

Faculty, Smith College

Dissertation: Studies in Dynamical Systems: Collisions and Codings

**Anna Barry** (PhD 2011)

Faculty, University of Auckland

Dissertation: Vortex crystals in fluids

**William Basener** (PhD 2000)

Dissertation: Minimal Flows and Global Cross Sections which are disks

**Margaret Beck** (PhD 2006)

Faculty, Boston University

Dissertation: Topics in Stability Theory for Partial Differential Equations

**Nick Benes** (PhD 2010)

Senior Scientist, Image Insight Inc.

Dissertation: Stability of multi-solutions in the Toda model and torus canards in neuroscience models

**Marina Bevzushenko** (PhD 2008)

Dissertation: Mathematical Analysis of an Integro-Differential Equation Arising in Neuroscience

**Ranjit Bhattacharjee** (PhD 2000)

Vice President in the Fixed Income Derivatives Research Group, Salomon, Smith, Barney, New York City

Dissertation: Bifurcation to an Entire Function

**Fred Blundell** (PhD 1994)

Dissertation: A Spherically Symmetric Model in Celestial Mechanics

**Greg Buck** (PhD 1988)

Chair of the Mathematics Department, St. Anselm’s College

Dissertation: Mass Distributions in Central Configurations

**Amy Chiu** (PhD 1996)

Dissertation: Quartic Newton’s Method and Matings of Polynomials

**Dan Cuzzocreo** (PhD 2014)

Faculty, Northwestern University

Dissertation: Dynamical Invariants and Parameter Space Structures for Rational Maps

**R. E. Lee DeVille** (PhD 2001)

Faculty, University of Illinois

Dissertation: Reduced Equations for Hyperbolic Problems on Thin Domains

**Marilyn Durkin** (PhD 1989)

Emeritus Faculty, Bentley College

Dissertation: The Dynamics of the Complex Exponential Function: A Mathematical and Computer Graphical Study

**Nuria Fagella** (PhD 1995)

Faculty, University of Barcelona

Dissertation: The Complex Standard Family

**Elizabeth Fitzgibbon **(PhD 2014)

Faculty, Salve Regina University

Dissertation: The structure of Julia sets from accessible Mandelbrot sets

**Alex Frumosu **(PhD 2003)

Faculty, Clark University

Dissertation: Itineraries for Complex Exponentials

**Christophe Gole** (PhD 1989)

Faculty, Smith College

Dissertation: Periodic Points for Monotone Symplectomorphisms of Tn x Rn

**Laura Rocio Gonzalez Ramirez** (PhD 2014)

Faculty, Universidad Michoacada de San Nicolas de Hidalgo

Dissertation: Existence and stability of traveling waves in a biologically constrained model of seizure wave propagation

**Anthony Harkin** (PhD 2000)

Faculty, Rochester Institute of Technology

Dissertation: Nonlinear Dynamics of Gas Bubbles in Liquid

**Mako Haruta** (PhD 1992)

Faculty, University of Hartford

Dissertation: The Dynamics of Newton’s Method on the Exponential Function in the Complex Plan

**Michael Hayes** (PhD 1999)

WS Atkins Consultants, Surrey, UK

Dissertation: Geometric Analysis of Delayed Bifurcations

**Baldur Hedinsson**(PhD 2011)

Dissertation: Interactions of Inhibitory Cells

**Matt Holzer** (PhD 2010)

Faculty, George Mason University

Dissertation: Renormalization Group Methods for Singularly Perturbed Systems, Norma Forms, and Stability of Traveling Waves in a Reaction-diffusion-mechanics System

**Stephanie R. Jones** (PhD 2001)

Faculty, Brown Uniersity

Dissertation: Rhythms in the Neocortex and in CPG Neurons: a Dynamical Systems Analysis

**Sam Kaplan** (PhD 1996)

Faculty, University of North Carolina at Asheville

Dissertation: The Collinear 1-bumper, 2-body Problem

**Alex Kasman** (PhD 1995)

Faculty, College of Charleston

Dissertation: Rank R KP Solutions with Singular Rational Spectral Curves

**Stephen Krigman** (PhD 2004)

Principle Systems Engineer, Raytheon Corp

Dissertation: Boundary Controllability of Maxwell’s Equations with Nonzero Conductivity and an Application to an Inverse Source Problem

**Stephane Laederich** (PhD 1989)

Co Head Software Development, Avaloq

Dissertation: Exponential Dichotomies, Nonlinear Partial Differential Equations and Differential Difference Equations

**Eileen Lee** (PhD 1997)

Faculty, Boston University

Dissertation: The Structure and Geometry of the Brjuno Numbers

**Thomas LoFaro** (PhD 1993)

Faculty, Gustavus Adolphus College

Dissertation: A Period Adding Bifurcation in a Pair of Coupled Neurons

**Daniel M. Look** (PhD 2005)

Faculty, St. Lawrence University

Dissertation: Dynamics of Circle Inversions

**Joyce Macabea** (PhD 2004)

Dissertation: Dynamics of Shepherd Moon Ring Systems

**Paolo Malerba** (PhD 2010)

Dissertation: Excitation dominated or inhibition dominated: different mechanisms behind rhythmic interaction in a hippocampal model

**Sebastian Marotta** (PhD 2008)

Faculty, University of the Pacific

Dissertation: Complex Dynamics of Singularly Perturbed Rational Maps

**Ava Mauro** (PhD 2014)

Faculty, UMass Amherst

Dissertation: Numerical Methods and Stochastic Simulation Algorithms for Reaction-Drift-Diffusion Systems

**Tommy McCauley** (PhD 2016)

Faculty, Arlington High School

Dissertation: Chern-Weil Techniques on Loop Spaces and the Maslov Index in Partial Differential Equations

**Georgi Medvedev** (PhD 1999)

Faculty, Drexel University

Dissertation: Problems on Oscillations and Pattern Formation in Mathematical Biology

**Oleg Mikitchenko** (PhD 2008)

Financial Analyst, Bloomberg Financial

Dissertation: Applications of the Resolution of Singularities to Asymptotic Analysis of Differential Equations

**Monica Moreno Rocha** (PhD 2002)

CIMAT, Guanajuato, Mexico

Dissertation: Indecomposable Continua in Complex Dynamical Systems

**David Morgan** (PhD 2001)

NRC Postdoctoral Fellow, Naval Research Labs

Dissertation: On the Existence and Stability of Spatial Patterns in an Activator-inhibitor System Exhibiting Self-replication

**Farzan Nadim** (PhD 1994)

Faculty, New Jersey Institute of Technology

Dissertation: An Inductive Approach to the Geometry of the Discrete FitzHugh-Nagumo Equation

**Kinya Ono** (PhD 2000)

Scientist, Khimetrics, Inc.

Dissertation: Analytical Methods for Reaction-diffusion Equations: Critical Wave Speeds and Axisymmetric Phenomena

**Jason Ritt** (PhD 2003)

Faculty, Boston University

Dissertation: A Probabilistic Analysis of Forced Oscillators, with Application to Neuronal Response Reliability

**Gareth Roberts** (PhD 1999)

Faculty, College of the Holy Cross

Dissertation: Existence and Stability of Relative Equilibria in the n-body Problem

**Elizabeth D Russel** (PhD 2009)

NSA

Dissertation: The Complex Dynamics of Rational Maps

**Hector Sanchez** (PhD 1992)

Faculty, UNAM, Mexico City

**Ann Sawyer** (PhD 1984)

Texas Instruments

Dissertation: The Dynamics of Piecewise Linear Mappings of the Plane

**Lionel Slammert** (PhD 1989)

Dean, Faculty of Applied Sciences, Cape Technikon, Cape Town, South Africa

Dissertation: Differentiability Properties of Bifurcation Phenomena of Two Parameter Families of Circle Diffeomorphisms

**Cristina Soto-Trevino** (PhD 1997)

Postdoctoral Fellow, Brandeis University

Dissertation: Geometric Methods for Periodic Orbits in Singularly Perturbed Systems

**David Somers** (PhD (joint with Center for Neural Systems) 1993)

Faculty, Boston University

Dissertation: Synchronization in Networks of Neural Relaxation Oscillators: Visual Cortical Processing and Intrinsic Oscillator Properties

**Scott Sutherland** (PhD 1989)

Faculty, Stony Brook University

Dissertation: Finding Roots of Complex Polynomials with Newton’s Method

**Folkert Tangerman** (PhD 1988)

Faculty, Stony Brook University

Dissertation: Meromorphic Continuation of the Ruelle Zeta Function

**Alexandru Teodorescu-Frumosu** (PhD 2003)

Faculty, Tufts University

Dissertation: Unbounded Itineraries of Entire Functions

**Mark Turpin** (PhD 1991)

Faculty, University of Hartford

Dissertation: Rotation Number Properties of a Class of Annulus Homeomorphisms with an Invariant Indecomposable Cofrontier

**David Uminsky** (PhD 2008)

Faculty, University of San Francisco

**Nathan Vierling-Claassen** (PhD 2007)

Faculty, Brown University

Dissertation: Modeling Cortical Rhythms in Schizophrenia: Neuronal Recruitment and Suppression

**Eric Wahl** (PhD 2008)

MIT Lincoln Lab

Dissertation: Geodesics on Isopotential Surfaces and Solutions to Newton’s n-Body Problem

**James Walsh** (PhD 1991)

Faculty, Oberlin College

Dissertation: Rotation Vectors for Maps and Flows on Compact Surfaces

**Robert Winters** (PhD 1990)

Faculty, Harvard University and Wellesley College

Dissertation: Bifurcations in Families of Antiholomorphic and Biquadratic Maps

**J. Douglas Wright** (PhD 2004)

Faculty, Drexel University

Dissertation: Higher Order Corrections to the KdV Approximation for Water Waves

**Elizabeth Zollinger** (PhD 2008)

Faculty, St. Joseph’s College New York

Dissertation: A Family of Comets in the 3-Body Problem