Photo of me Joshua X. Wang

Office: Science Center 425a


I'm a fourth-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.


Papers and preprints

  1. Link Floer homology also detects split links

    Bulletin of the London Mathematical Society (2021) | arXiv

  2. The cosmetic crossing conjecture for split links

    accepted, Geometry & Topology | arXiv

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

    submitted | arXiv

Invited Talks

Sep 2021 - Princeton Topology Seminar

Apr 2021 - Gauge Theory Virtual Seminar | slides

Apr 2021 - WUSTL Geometry and Topology Seminar

Mar 2021 - UCSD Topology Seminar

Jan 2021 - JMM AMS Special Session on Low Dimensional Topology, I

Oct 2020 - Stanford Topology Seminar

Oct 2020 - MSU Geometry and Topology Seminar

Oct 2020 - VCU Geometry and Topology Seminar

Jun 2020 - MPIM Topology Seminar


Minor thesis - Hodge theory for matroids

Teaching and Mentoring


Fall 2021 - Math 21a - Multivariable calculus


Spring 2021 - Low-dimensional manifolds

Summer 2020 - Differential forms in algebraic topology

Summer 2019 - Knot invariants and category theory with Morgan Opie

Teaching assistantships

Summer 2021 - MSRI Summer Graduate School - Gauge Theory in Geometry and Topology

Directed Reading Program

I'm an organizer of the Directed Reading Program, and I've mentored five reading projects so far.