Mathematics Faculty

Jed Keesling
Topology, dynamical systems, biomathematical modeling, queuing theory, stochastic processes, computational methods, and applied mathematics.

Biological Systems of Interest
-- Citrus Greening
-- Viral Dynamics
Maia Martcheva
Ordinary differential equations; age-structured partial differential equations; discrete delay and distributed delay differential equations; discrete equations and diffusion equations

Biological Systems of Interest
-- Avian Influenza
-- Malaria Modeling
-- Epidemic Models of Multi-Strain Interactions
-- Spatial Epidemic Modeling
-- Immunological Modeling
-- Immuno-Epidemiological Modeling
Scott McKinley
Probability Theory and Applied Stochastic Processes.

Biological Systems of Interest
-- Mucosal Immunology
-- Diffusion in Biological Fluids
-- Intracellular Transport
-- Movement Ecology
Sergei Pilyugin
Mathematical biology, population dynamics, dynamical systems and differential equations.

Biological Systems of Interest
-- Population Models
-- Viral Dynamics
-- Citrus Greening

Jo Ann Lee

Jo Ann Lee, Postdoctoral Associate
-- Citrus Greening
-- Viral Dynamics

Faculty Collaborators in Other Departments

Our group is highly interdisciplinary in our research approach. In recent years we have established collaborations with numerous faculty in other departments.

Steve Hagen
Experimental Biological Physics
In our laboratory we study the dynamics of biological systems. We use a variety of time-resolved optical techniques to study biological molecules – proteins in particular – in order to characterize the fast motions that occur during molecular folding and assembly. Our focus is on physical studies and modeling of the dynamics, rather than pure structural biology. Research interests also include the dynamics of gene regulatory networks, and especially noise, variability, and other heterogeneity in gene expression.
Robert D. Holt, Biology
Ecological Sciences
What makes the study of life such an endlessly satisfying endeavor is that species and ecosystems reflect both order and change - both the predictable outcome of general laws, and the lingering effects of idiosyncracies of evolution and earth history. Moreover, the natural world does not parse along the suture lines of our disciplinary specializations. Dealing with the complexity of natural ecosystems is a highly challenging problem, and a diversity of perspectives is needed to address this complexity. My core personal research focuses on theoretical and conceptual issues at the population and community levels of ecological organization, and on the task of linking ecology with evolutionary biology. Though primarily a theoretician, I am keenly interested in natural history and have throughout my career maintained an empirical dimension to my research, often in collaboration with a wide range of natural and social scientists. (read more)
Jeremy Lichstein, Biology
Forest Community and Ecosystem Ecology
I am interested in the ecology of communities and ecosystems, particularly forests. Specific interests include species coexistence mechanisms, the carbon cycle, and the response of forests to global change. My research involves field campaigns, analyzing data from large observational networks, and mathematical and computer simulation modeling. I have worked in tropical, temperate, and boreal ecosystems.
Craig Osenberg, Biology
-- Coral reef ecology (from gastropods to corals to fishes).
-- Size and stage-structured interactions, and their implications for population dynamics and community patterns.
-- The roles of density-dependence, habitat quality, predation, competition, and resource limitation in aquatic ecosystems.
-- The application of meta-analysis in ecology (e.g., quantification of effect size (and interaction strength) and its variation among organisms and environments).
-- The design and implementation of whole ecosystem experiments and environmental assessment studies.
-- The application of ecological theory to the design of marine reserves and fisheries management strategies.
Jose Miguel Ponciano, Biology
Stochastic Processes in Biology
My research focuses on the use of stochastic processes in Biology. Yes, using ‘focuses’ and ‘the entire field of Biology’ in the same sentence seems terribly contradictory. However, I do regard both, stochastic processes and statistics as the ideal language to translate fundamental questions in Biology into testable hypotheses that can be confronted with real data. This research focus grew from the the application of stochastic processes in Ecology and Evolution, to Wildlife Management, Conservation Biology and Fisheries, to Epidemiological modeling, Microbial Community Ecology, Population Genetics and Phylogenetics. Early in my academic formation as a Biologist I recognized the importance of Mathematics. My two sources of inspiration were Pielou’s book “Mathematical Ecology” and Eric Pianka’s ”Evolutionary Ecology” monograph. That was around 1995. Later on, I traded the field boots for programming, paper, pencils and lots of erasers. The journey has been both, fascinating and rewarding.
Juliet Pulliam, Biology and Emerging Pathogens Institute
Quantitative Disease Ecology and Viral Host Jumps
The Pulliam lab is located within the University of Florida’s Department of Biology and Emerging Pathogens Institute. The lab focuses on viral pathogens that are transmitted between host species and on the interactions between human, domestic animal, and wildlife health. Viruses are the most common cause of emerging infectious diseases and constitute 40-60% of emerging pathogens of humans, livestock, domestic carnivores, and wildlife. Furthermore, the majority (~60%) of documented emergence events between 1940 and 2004 were caused by zoonoses (pathogens transmitted from animals to humans), indicating that cross-species transmission is a particularly important process underlying pathogen emergence.

We address both applied questions regarding the prevention and control of viral pathogens in novel host species and fundamental questions regarding the determinants and dynamics of viral host jumps. We approach these questions primarily through quantitative analysis, including both statistical and dynamical modeling.
Colette St. Mary, Biology
Behavioral and evolutionary ecology
Behavioral ecology of fishes and marine invertebrates. Empirical and theoretical studies of reproductive ecology and life-history evolution with a focus on mating systems, sexual selection and sex allocation. The incorporation of behavior and evolutionary processes in fisheries management.
Burton Singer, Mathematics, Visiting Distinguished Professor
Demography and Public Affairs
Burton Singer has served as chair of the National Research Council Committee on National Statistics and as chair of the Steering Committee for Social and Economic Research in the World Health Organization Tropical Disease Research (TDR) program. He was elected to the National Academy of Sciences (1994) and was a Guggenheim fellow in 1981-1982. In 2005 he was elected to the Institute of Medicine of the National Academies. Singer has centered his research in three principal areas: identification of social, biological, and environmental risks associated with vector-borne diseases in the tropics; integration of psychosocial and biological evidence to characterize pathways to alternative states of health; and health impact assessments associated with economic development projects. His research program has included studies of: the impact of migration and urbanization on malaria transmission in the western Amazon region of Brazil and in Dar es Salaam, Tanzania; the biological correlates of well-being and health consequences of gene-environment interactions focused on the social environment; and potential health impacts of the Chad-Cameroon petroleum development and pipeline project and the Nam Theun 2 Hydroelectric project in Laos. During the next few years there will be in-depth investigations of the biology of well-being, primarily based on accumulating data in the Mid-life in the United States (MIDUS) national survey and several community-based studies. Ph.D. Stanford University.