Research and Teaching InterestsToggle Research and Teaching Interests
My main research interests are in the area of differential equations, primarily related
to models in mathematical biology. Most models that I have developed and/or studied
are nonlinear, both for ordinary and (parabolic) partial differential equations. Current
applications of interest include population dynamics and invasive species, with a
side interest in epidemiology. Earlier work looked at optimal control, with projects
involving porous media flow, and cancer treatment.
I am also interested in research associated with teaching and learning calculus, as
well as applied math topics. Current projects involve examining data for differences
in educational gain among groups of students in calculus, and improving student success
in integral calculus.
I have mentored eight graduate students (seven at FGCU), and nine undergraduate research
projects (14 students total). Topics have included modeling the spread of the Zika
virus, oyster-mussel competition dynamics, zombies, musical instruments and Fourier
analysis, and an age-based compartmental model of star populations. Additionally,
I have been on three master's thesis committees (including two in biology).