I work in the Logical Systems Lab at Carnegie Mellon, where I develop symbolic techniques for analyzing hybrid dynamical systems. One application of research in this area is the development of tools and techniques for designing highly trustworthy cyber-physical systems, such as autonomous vehicles and aircraft equipped with collision avoidance protocols.
I am a core developer of the KeYmaera X theorem prover for hybrid systems. I also work on related tools and techniques for establishing safety properties for cyber-physical systems that contain machine learning components. In the past, I have also worked on programming languages with extensible type systems and fine-grained version control.
I maintain an active interest in undergraduate education and mentoring.