Jack Burkart

      Stony Brook Univeristy
      Department of Mathematics
      Email: jack.burkart[at]stonybrook.edu
      Office: 2-105, Math Tower

      About Me

      I'm a fifth year math Ph.D student at Stony Brook. I'm interested in topics related to complex analysis and complex dynamics. My advisor is Prof. Chris Bishop. My CV contains more details about my academic and professional activities.

      I recently started a math blog qcjb. I browse and occassionaly contribute to some specialty areas of Math Overflow and Math StackExchange.


      Papers

      Transcendental Julia sets with Fractional Packing Dimension. See below for less technical slides summarizing the paper.

      Some Other Links

      • Some slides on various notions of dimension, and results in holomorphic dynamics
      • My slides from TCD 2017 in Barcelona, describing the construction of a transcendental entire function with a Julia set of dimension 1.
      • My slides from TCD 2019 in Barcelona, describing the construction of a transcendental entire functions with fractional packing dimension.
      • You can find the schedule and reading material for the Spring 2018 analysis student seminar in Brownian motion here.
      • You can find the schedule and reading material for the Fall 2018 analysis student seminar in SLE here.