Boyu Zhang

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. My Ph.D. advisor was 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.



Research

Rectifiability and Minkowski bounds for the zero loci of Z/2 harmonic spinors in dimension 4
arXiv:1712.06254 (2017)

Modulo 2 counting of Klein-bottle leaves in smooth taut foliations
arXiv:1701.02084 (2017)

A monopole Floer invariant for foliations without transverse invariant measure
arXiv:1603.08136 (2016)



Expository writings

A note on the hypoellipticity of Folland-Stein heat operators

On Mostow's Rigidity Theorem (Minor thesis supervised by Curtis T. McMullen)



Teaching

Math 1b: Calculus, Series, and Differential Equations. (Spring 2017)
Undergraduate Tutorial: Morse Theory (Spring 2016)
Summer Tutorial: Knots and Links (Summer 2015)
Qualifying Exam Tutorial (Summer 2015)
Math 1b: Calculus, Series, and Differential Equations. (Spring 2015)
Qualifying Exam Tutorial (Summer 2014)