Joshua X. Wang

Office: Science Center 425a

Email: jxwang@math.harvard.edu

I'll be a third-year graduate student at Harvard this fall, and my advisor is Peter Kronheimer. I used to be an undergraduate at Princeton.

My main area of research is low-dimensional topology.

Research

Preprints

• 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

Slides

Floer and Khovanov homologies of band sums. MPIM Topology Seminar. June 29, 2020.

Teaching and Mentoring

Tutorials

Spring 2021 - I will 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've mentored four reading projects so far.