James H. Nolen, Assistant Professor
I study partial differential equations, which have been used to model many phenomena in the natural sciences and engineering. In many cases, the parameters for such equations are known only approximately, or they may have fluctuations that are best described statistically. So, I am especially interested in equations modeling random phenomena and whether one can describe the statistical properties of the solution to these equations. For example, I have worked on nonlinear partial differential equations that describe waves and moving interfaces in random media. This work involves ideas from both analysis and probability.  Contact Info:
Teaching (Fall 2015):
 MATH 555.01, ORDINARY DIFF EQUATIONS
Synopsis
 Physics 235, TuTh 10:05 AM11:20 AM
 MATH 79090.03, MINICOURSE IN ADVANCED TOPICS
Synopsis
 Physics 205, TuTh 01:25 PM02:40 PM
Teaching (Spring 2016):
 MATH 356.01, ELEM DIFFERENTIAL EQUAT
Synopsis
 Physics 259, TuTh 01:25 PM02:40 PM
 MATH 545.01, STOCHASTIC CALCULUS
Synopsis
 Physics 259, TuTh 08:30 AM09:45 AM
 Office Hours:
 Mondays 23:30pm, Thursdays 23:30pm.
 Education:
Ph.D.  University of Texas at Austin  2006 
B.S.  Davidson College  2000 
 Specialties:

Applied Math
Analysis Probability
 Research Interests: Partial differential equations, stochastic processes, random media, applied mathematics, asymptotic analysis
I study partial differential equations, which have been used to model many phenomena in the natural sciences and engineering. In many cases, the parameters for such equations are known only approximately, or they may have fluctuations that are best described statistically. So, I am especially interested in equations modeling random phenomena and whether one can describe the statistical properties of the solution to these equations. For example, I have worked on nonlinear partial differential equations that describe waves and moving interfaces in random media. This work involves ideas from both analysis and probability.
 Areas of Interest:
partial differential equations stochastic processes asymptotic analysis homogenization theory front propagation reactiondiffusion equations
 Current Ph.D. Students
(Former Students)
 Representative Publications
(More Publications)
 J. Lu and J. Nolen, Reactive trajectories and the transition path process.,
Probability Theory and Related Fields
(January, 2014) [1744], [doi]
 Selected Grant Support
 Analysis of Fluctuations, National Science Foundation, DMS1007572.
 CAREER: Research and training in stochastic dynamics, National Science Foundation, DMS1351653.
