I am an Assistant Professor of Mathematics at UConn. I study the geometry of sets and measures using a mixture of geometric measure theory, harmonic analysis and quasiconformal analysis.
In Fall 2016, the Analysis and Probability Seminar meets Fridays at 1:30pm. This is a research seminar featuring speakers from around the world. Organized by Vasileios Chousionis and Oleksii Mostovyi.
In Fall 2016, we are also ignaurating the Analysis Learning Seminar, meeting on Tuesdays at 4:00pm. This seminar will feature mini-courses by UConn postdocs and hour-long talks by UConn graduate students. All graduate students and advanced math majors who are interested in analysis are welcome to attend!
Geometric Aspects of Harmonic Analysis: AMS Special Session at the Fall Eastern Sectional Meeting in Brunswick, Maine, September 24 and 25, 2016.
Geometric Measure Theory and Its Applications: AMS Special Session at the Spring Eastern Sectional Meeting in Stony Brook, March 19 and 20, 2016.
Special Semester in Nonsmooth Analysis: UConn Department of Mathematics. Fall 2015.
Complex Analysis, Probability and Metric Geometry: AMS Special Session at the Spring Southeastern Sectional Meeting in Knoxville, March 22 and 23, 2014.
Harmonic Analysis, Partial Differential Equations and Geometric Measure Theory: AMS Special Session at the Joint Mathematics Meeting in San Diego, January 10, 2013.
[Math Course Schedules: Current Semester]
Math 2410, Section 11: Elementary Differential Equations
Math 3150, Section 1: Analysis I
Here is a picture related to my "Harmonic polynomials..." and "Flat points..." papers. The zero sets of homogeneous harmonic polynomials in x,y,z of odd degree may separate space into two components (cross your eyes to see a stereographic picture):
500x4y-1000x2y3+100y5 -5(x4+y4)z+10(x2+y2)z3+2z5=0 intersecting the unit sphere
[Statistics] Newest preprints/papers are listed first.
PhD Thesis: Harmonic Polynomials and Free Boundary Regularity for Harmonic Measure from Two Sides. Defended on May 5, 2011.
Selected slides from research talks and colloquiua, in reverse chronological order: