I am an Assistant Professor of Mathematics at the University of Oklahoma.  

I work in dynamical systems, complex dynamics, and geometric topology. My research uses ideas from thermodynamic formalism, Teichmüller theory, ergodic theory, and several complex variables to study geometric and rigidity phenomena in holomorphic dynamical systems.

Current themes in my work include:

• Weil–Petersson and pressure geometry on moduli spaces of dynamical systems;

• entropy, Lyapunov exponents, and dimension theory in higher-dimensional holomorphic dynamics;

• rigidity and algebraic relations for rational maps;

• dynamics and geometry on surfaces/graphs of infinite type.

My research is supported in part by the Simons Foundation.

Here you can find my CV. 

Contact Information

601 Elm Avenue, Room 423

Norman, OK, 73019, USA

Email: he [at] ou [dot] edu