Photo of me Joshua X. Wang

Office: Science Center 425a


I'm a fifth-year graduate student in mathematics at Harvard, and my Ph.D. advisor is Peter Kronheimer. My main area of research is low-dimensional topology. More specifically, I'm interested in connections between homological knot invariants arising from Floer theory and categorification, and their application to problems in knot theory and other areas of low-dimensional topology.

Curriculum Vitae



Minor thesis - Hodge theory for matroids

Teaching and Mentoring

Fall 2021 - Math 21a - Multivariable calculus


Spring 2021 - Low-dimensional manifolds - Teaching evaluations

Summer 2020 - Differential forms in algebraic topology - Teaching evaluations

Summer 2019 - Knot invariants and category theory with Morgan Opie

Directed Reading Program

I used to organize the Directed Reading Program, and I've mentored five reading projects so far.


Some photos of knots and links made from pretzels, baked at a birthday get-together.