J. E. Pascoe's homepage

About me

Photo by Ivonne Vetter at MFO in 2013.
I am currently a fifth year graduate student in the Mathematics Department at the University of California, San Diego. My email is jpascoe@math.ucsd.edu. I am a student of Jim Agler.


I work on several complex variables, operator theory, and several noncommuting variables. Some of my past work has dealt with:
  • Boundary behavior multivariable Pick funtions (sometimes called Nevanlinna functions.)
  • Operator monotone functions in several variables.
  • Invariant theory for free polynomials.
  • The Jacobian conjecture for free polynomials.
See my papers for details.





Above is an Escher tessellation which has been conformally mapped to the Koch snowflake.