I am a Professor of Mathematics at George Mason University. Since 2002, I have been teaching a variety of undergraduate and graduate courses, mostly in the fields of analysis, differential equations, and topology. You can find more information about these courses and the students that I have advised over the years by clicking on the teaching link in the above menu bar.
My research is focused on the following areas:
- Dynamics of partial differential equations
- Formation and dynamics of patterns, phase separation phenomena (spinodal decomposition, nucleation)
- Computational topology and its applications
- Random and stochastic dynamical systems
You can take a look at my complete curriculum vitae. My detailed list of publications, as well as information about my talks & travels can be accessed via the above menu bar.
I am on the editorial boards of the following book series and research journals:
- Frontiers in Applied Dynamical Systems (since 2015)
- SIAM Journal on Applied Dynamical Systems (since 2015)
- Discrete and Continuous Dynamical Systems (Series B) (since 2012)
- Mathematical Methods in the Applied Sciences (since 2009)
Feel free to contact me with any questions about potential submissions. Previously, I also served on the following editorial boards:
- Physica D: Nonlinear Phenomena (2010-2023)
- Discrete and Continuous Dynamical Systems (Series S) (2007-2012)