Joshua X. Wang

Office: Science Center 425a

Email: jxwang@math.harvard.edu

I'm a third-year graduate student in mathematics at Harvard, and my advisor is Peter Kronheimer. I was an undergraduate at Princeton.

My main area of research is low-dimensional topology.

Research

• Link Floer homology also detects split links (2020)

• The cosmetic crossing conjecture for split links (2020)

• A combinatorial proof of invariance of double-point enhanced grid homology (2018)
  with Timothy Ratigan and Luya Wang

Teaching and Mentoring

Tutorials

Spring 2021 - I'll be teaching a tutorial on low-dimensional topology.

Summer 2020 - Differential forms in algebraic topology

Summer 2019 - Knot invariants and category theory with Morgan Opie

Directed Reading Program

I'm an organizer of the Directed Reading Program, and I'm mentoring my fifth reading project this semester.