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Research
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My research interests are in difference equations, discrete dynamical systems, local and global behavior of difference equations and applications to mathematical biology. I also have a strong interest in improving the quality and effectiveness of math education.

All of the papers that I have worked on and presentations that I have given can be found below.

To read an overview of my research click here.

Papers
Global Dynamics of a Leslie Host-Parasite Model
(with O. Merino) Journal of Difference Equations and Applications, 2017.
Global Dynamics of Leslie-Gower Competitive Systems in the Plane
(with M.R.S Kulenovic) Submitted to Advances in Difference Equations
Results on the Dyanmics of a Class of Discrete Time Structured Population Models
(with O. Merino) In preparation.
Implementing Online Programs in Gateway Mathematics Courses for Students with Prerequisite Deficiencies
(with E.Bertrand, L. Thoma, and L. Wu) In preparation
Presentations
November
2017
 
 
Designing and Implementing Online Programs in Mathematics Course for Students with Prerequisite Deficiencies
UCONN Math Education Seminar
Storrs, CT
October
2017
 
 
Developing Online Remedial Programs in Undergraduate Mathematics Courses
UCONN Teaching Seminar
Storrs, CT
September
2017
 
 
An Introduction to Difference Equations
UCONN Undergraduate Math Seminar
Storrs, CT
May
2017
 
 
Global Dynamics of a Host-Parasite Model
AMS 2017 Spring Sectional Meeting
New York, NY
September
2016
 
 
Global Dynamics for Leslie-Gower Competitive Systems in the Plane
AMS 2016 Fall Sectional Meeting
Brunswick, Maine
September
2015
 
 
On the Dynamics of a kth Order Rational Difference Equation
AMS 2015 Fall Sectional Meeting
New Brunswick, New Jersey
October
2016
 
 
Global Stability of Pielou's Second Order Difference Equation
URI Difference Equations Seminar
Kingston, Rhode Island
April
2016
 
 
Global Dynamics of a System of Rational Difference Equations
URI Difference Equations Seminar
Kingston, Rhode Island
October
2015
 
 
Global Stability of Difference Equations Satisfying a Markus-Yamabe Condition
URI Difference Equations Seminar
Kingston, Rhode Island
January
2015
 
 
Global Dynamics of Traingular Maps
URI Difference Equations Seminar
Kingston, Rhode Island
April
2014
 
 
Global Attractivity of the Equilibrium of a Difference Equation
URI Difference Equations Seminar
Kingston, Rhode Island