- Transcendental Julia sets with Fractional Packing Dimension. Submitted to Conformal Geometry and Dynamics. See below for less technical slides summarizing the paper.
- A Jordan Curve that cannot be Crossed on a Set of Zero Length.
- Some slides on dimension and 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.
- Spring 2018 Analysis Student Seminar Brownian Motion.
- Fall 2018 Analysis Student Seminar: SLE.
Jack Burkart
Stony Brook UniveristyDepartment of Mathematics
Email: jack.burkart[at]stonybrook.edu
Office: 2-105, Math Tower
Office Hours: Monday/Wednesday 3:00-4:00pm, also by appointment.
MLC Hours: Thursday, 9:00-10:00am.
About Me
I'm a sixth 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.
Teaching
In Fall 2020, I am an instructor for MAT 130: Trigonometry and Logarithms. This class is done meeting in person for the semester, but I am still holding my office hours, which can be found on the top of the webpage. Office Hours are conducted via Zoom; please reach out to me if you need the link.
Papers
Some Other Links
