- Stochastic Processes and Mathematical Biology; especially
- stochastic and deterministic mathematical models
in (microbial) ecology and epidemiology
- population genetics and evolutionary biology
- coalescent theory
- opinion dynamics
- combining experimental and theoretical approaches
- diffusion processes and differential equations.
- Research Papers
Teaching: Spring 2023
Some Previous (upper level) Courses Taught
- Math 453/538, Stat 453/544 (Stochastic Models)
Syllabus
- Math 535 (Real Analysis)
Syllabus
- Math 504 (Stochastic Differential Equations)
Syllabus
- Math 539 (Ordinary Differential Eqns.)
Syllabus
- Math 540 (Partial Differential Eqns.)
Syllabus
- Math 563 (Mathematical Genetics)
Syllabus
- Math 571/572 (Functional Analysis)
Syllabus
- BCB 501 (Biocomplexity Seminar)
Syllabus
- Math 451 (Probability)
Syllabus
- Math 310 (Differential Equations)
Syllabus
PhD Students
- Koffi Sampson: 2004, coalescent theory
- Yongtao (Grant) Guan: 2006, MCMC, spatial models, evolutionary
biology
- Wei Wei: 2008,
spatial models, ecology and evolution of viruses
- Xue Zhong: 2009, spatial models,
horizontal gene transfer in bacteria
- Pavitra Roychoudhury: 2013, spatial models, adaptive evolution
of viruses
Postdocs
- Dilara Ally:
adaptive evolution of viruses
