Research
Broadly, I am interested in complex dynamics, especially problems with a topological flavor. I am currently investigating the relationship between mapping class groups of rational maps and mapping class groups of surfaces.
I also really enjoy using computer programming to draw pictures that give mathematical intuition.
Upcoming and Past Talks
- March 2020, AMS Special Session, Tufts University.
- October 2019, Dynamics Seminar, Boston College.
- October 2019, Bers-Teichmuller Seminar, Indiana University.
- August 2019, Geometry and Topology Seminar, Georgia Tech.
- January 2019, MAA Special Session on Beautiful Pictures in Research Mathematics at the Joint Mathematics Meetings, Baltimore MD, Plotting the critical orbits of complex quadratic polynomials
- October 2018, Poster presentation at GROW
- May 2015, Combinatorial and Additive Number Theory Conference, CUNY, Geometric-progression-free sets over quadratic number fields
- January 2015, Joint Mathematics Meetings, San Antonio TX, The Emergence of 4-cycles Over Extended Integers
- August 2014, Young Mathematicians Conference, The Ohio State University, Ramsey Theory Problems in Z: Avoiding Generalized Progressions