I am interested in a number of topics in applied mathematics. Most of these concern applications of the theory of deterministic and stochastic dynamical systems to problems in neuroscience, systems biology and evolution. Here are a few projects that I am currently working on with my students
- Developing mathematical models of synthetic gene circuits.
- The origins and impact of correlated activity in neuronal networks.
- Inference and learning in changing environments.
- Model reduction techniques for large signaling networks.
- Decision making in dynamic environments and social networks.
Joining My Research Group
Some Coverage of Research I Have Been Involved With
- Finding Meaning in Complexity: The search for theories that can propel neuroscience forward
- Synthetic Biology, Real Mathematics
- Exploring Connectivity in the Brain’s Network of Neurons
- Math Modeling Integral to Synthetic Biology Research
- Biology and Mathematics Team up for Pioneering Medical Research
- Synthetic Gene Circuit Allows Precise Dosing of Gene Expression
- Correlation Between Neural Spike Trains Increases with Firing Rate