I am interested in theoretical physics and electronic systems.  The main goal in my work is to find out whether or not we can get something from our ideas that we cannot get in other ways.

Right now I am working on two main topics.  The first is memory effects in quantum mechanics.  We know how particles accelerate based on force, but we do not know if they can remember their past.  I am looking to see if there is any memory of previous interactions with other electrons or the environment and if the dynamics are affected by memory.  I take quantum mechanics questions that we know how to solve, and I add in memory to see if we get an effect.  If quantum systems have memory, perhaps we can prevent decoherence of the quantum properties even as the environment interacts with the system.  Perhaps quantum systems remember what it is to be quantum.

I also investigate topological effects on electronic properties.  While we know a lot about how topological effects affect the properties of electrons in metals, more knowledge will give us insight into phenomena that we do not understand.  My work focuses on taking the concept to the extreme and trying to control the topological effects.  I am interested in whether we can control the topological properties of electrons by changing the crystal properties.