Yongquan Zhang

Me at my high school library

I am a second-year graduate student in mathematics at Harvard University. My advisor is Curt McMullen. Before coming to Harvard, I was a math major at University of Hong Kong.

My email address is yqzhang (at) math.harvard.edu.

Research interests

I am currently working on hyperbolic geometry and Kleinian groups. As an undergrad, I did some summer research on Smale's mean value conjecture and finite Blaschke products under the supervision of Prof. Tuen Wai Ng. I also did my final year project on several complex variables with Prof. Ngaiming Mok, in particular, L^2 techniques in several complex variables and their applications to complex geometry.

Current and past projects

  1. Constructing an acylindrical convex cocompact hyperbolic threefold with quasi-Fuchsian boundary. Some animations illustrating the example can be found here. A note explaining the construction can be found here.

  2. Generalized factorials on the image set of polynomials with interger coefficients. Directed Studies in Mathematics at HKU, under the supervision of Prof. Kai Man Tsang. The final report can be found here.

  3. Smale's mean value conjecture and finite Blaschke products. Summer research fellowship at Faculty of Science, HKU, under the supervision of Prof. Tuen Wai Ng. Our published paper can be found here: arxiv, journal.

Expositions

  1. d-bar equations with L^2 estimates. Undergraduate final year project under the supervision of Prof. Ngaiming Mok.

Teaching

  1. Spring 2018, Math 21a Multivariable Calculus, Teaching Fellow