Department of Mathematics
For information on each class, please consult the respective TritonEd page.
Fall000 2017: Math 140A (Honors Introductory Analysis)
Winter 2018: Math 140B (Honors Introductory Analysis II)
Spring 2018: Math 237A (Topics in PDE)
Fall 2018: Math 240A (Real Analysis I)
Fall 2018: Math 110A (Undergarduate PDE)
Winter 2019: Math 240B (Real Analysis II)
Instructor, Princeton University, 2014-2017
PhD, New York University, 2009-2014
B.S., University of Wisconsin-Madison, 2006-2009
Curriculum Vitae—here you can find some information on my academic background, published papers, invited lectures, and service.
Below is a list of a few papers I have worked on over the past year or so which are not yet published. Short summaries of these works can be found through the “Research Papers” link below.
Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow, with M. Coti-Zelati and K. Widmayer. arXiv preprint: https://arxiv.org/abs/1901.01571.
Universal Mixers in All Dimensions, with A. Zlatos. arXiv preprint: https://arxiv.org/abs/1809.09614.
On the relation between enhanced dissipation time-scales and mixing rates, with M. Coti-Zelati and M. G. Delgadino, accepted in Communications on Pure and Applied Mathematics. arXiv preprint: https://arxiv.org/abs/1806.03258
Finite-time Singularity Formation for Strong Solutions to the axi-symmetric 3D Euler equations, with I. Jeong.
arXiv preprint: https://arxiv.org/abs/1802.09936.
Finite-time Singularity Formation for Strong Solutions to the Boussinesq System, with I. Jeong.
arXiv preprint: https://arxiv.org/abs/1708.02724.
On singularity formation in a Hele-Shaw model, with P. Constantin, H. Nguyen, and V. Vicol, accepted to Communications in Mathematical Physics.
arXiv preprint: https://arxiv.org/abs/1708.08490.
On the Effects of Advection and Vortex Stretching, with I. Jeong, accepted in Archive for Rational Mechanics and Analysis.
arXiv preprint: https://arxiv.org/abs/1701.04050.
Symmetries and Critical Phenomena in Fluids, with I. Jeong, accepted in Communications on Pure and Applied Mathematics
arXiv preprint: https://arxiv.org/abs/1610.0971.
Research Papers—here you can find most of the papers I have worked on along with a short summary of the important results and techniques.