Department of Mathematics, Princeton University
Fine Hall, Princeton, NJ 08540
Office: Fine Hall 602
email: bz at math dot princeton dot edu
I am a math instructor at Princeton University. I completed my Ph.D. at Harvard University in 2018 advised by Clifford Taubes. My research interest is in gauge theory, symplectic geometry, and low dimensional topology. In particular, I am interested in applications of gauge theory to the study of geometric structures on three and four-dimensional manifolds, such as foliations, contact structures, and symplectic structures. Here is my CV.
Instantons and Khovanov skein homology on I×T^{2} (Joint with Yi Xie)
arXiv:2005.12863
Two detection results of Khovanov homology on links (Joint with Zhenkun Li and Yi Xie)
arXiv:2005.05897
On links with Khovanov homology of small ranks (Joint with Yi Xie)
arXiv:2005.04782
Classification of links with Khovanov homology of minimal rank (Joint with Yi Xie)
arXiv:1909.10032
Instanton Floer homology for sutured manifolds with tangles (Joint with Yi Xie)
arXiv:1907.00547
On the compactness problem for a family of generalized Seiberg-Witten equations in dimension three (Joint with Thomas Walpuski)
arXiv:1904.03749
Rectifiability and Minkowski bounds for the zero loci of Z/2 harmonic spinors in dimension 4
arXiv:1712.06254
Modulo 2 counting of Klein-bottle leaves in smooth taut foliations
Algebraic & Geometric Topology 18 (2018) 2701-2727
A monopole Floer invariant for foliations without transverse invariant measure
arXiv:1603.08136
A note on the hypoellipticity of Folland-Stein heat operators
On Mostow's Rigidity Theorem (Minor thesis supervised by Curtis T. McMullen)