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Boyu Zhang

Department of Mathematics, Harvard University

1 Oxford Street, Cambridge, MA 02138, USA

Office: Science Center, Room 321e

email: bzhang at math dot harvard dot edu

I am a fifth-year PhD student at Harvard University, working under the supervision of 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.

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Research

* Rectifiability and Minkowski bounds for the zero loci of Z/2 harmonic spinors in dimension 4
*

arXiv:1712.06254 (2017)

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**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)

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Expository writings

A note on the hypoellipticity of Folland-Stein heat operators

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

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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)