My primary research area is computational neuroscience, but I've dabbled with cardiac models, quantitative risk management, and ecology/epidemiology. Topics include:

• Dynamics of variability of cortical neural network activity over repeated trials

• Developing numerical methods to solve probability density equations

• Mathematical analysis of coupled stochastic differential equations

• Biophysical cellular and (cell-)network modeling

• Neural coding of sensory and other signals

Considering a Ph.D. in Applied Mathematics?  VCU has a Ph.D. program in Systems Modeling and Analysis focused on rigorous applications.  See sysm.vcu.edu for more information.

Bluesky: @chengly.bsky.social    TwiX: @cheng_ly_

GitHub has software used in our publications

VCU's Biomath Conference: BAMM!

VCU has a SIAM Student Chapter.  I helped establish VCU's chapter and was the faculty advisor for many years, please check it out!