research
Publications and Preprints
- Knot lattice homology and \(q\)-series invariants for plumbed knot complements, with R. Akhmechet and S. Park.
arXiv:2403.14461 - Lattice cohomology and \(q\)-series invariants of \(3\)-manifolds, with R. Akhmechet and V. Krushkal.
J. Reine Angew. Math. 796 (2023), 269–299. arXiv:2109.14139 - On the involutive Heegaard Floer homology of negative semi-definite plumbed 3-manifolds with \(b_{1}=1\).
To appear in Algebraic & Geometric Topology. arXiv:2108.13548
Awards
- Jefferson Scholars Foundation Research Prize, 2021
Talks
- Michigan Topology Intercity Symposium (MITIS), November 2023.
- AMS Spring Southeastern Sectional - Special Session on Contact and Symplectic Topology in Dimensions 3 and 4, March 2023
- ICTP - Learning Workshop on BPS States and 3-Manifolds, March 2023
- AMS Fall Southeastern Sectional - Special Session on Interactions Between 3- and 4-Manifolds, October 2022
- Michigan State University - Geometry and Topology Seminar, October 2022
- University of Richmond - Math and Computer Science Colloquium, February 2022
- University of Michigan - Topology Seminar, January 2022
- University of Virginia - Geometry Seminar, November 2021
- Rutgers University - Topology/Geometry Seminar, September 2021 (virtual)
- University of Maryland - Geometry-Topology Seminar, September 2021
- Michigan State University - Geometry and Topology Seminar, September 2021 (virtual)
- University of Alabama - Algebra-Topology Seminar, March 2021 (virtual)
- University of Virginia - Geometry Seminar, March 2021 (virtual)
- University of Virginia - Graduate Student Seminar, April 2020 (virtual)
- Georgia Tech Topology Conference - Lightning Talk, December 2019
Conferences, Summer Schools, and Workshops
- Michigan Topology Intercity Symposium (MITIS), November 2023.
- AMS Spring Southeastern Sectional - Special Session on Contact and Symplectic Topology in Dimensions 3 and 4, March 2023
- ICTP - Learning Workshop on BPS States and 3-Manifolds, February - March 2023
- AMS Fall Southeastern Sectional - Special Session on Interactions Between 3- and 4-Manifolds, October 2022
- Braids in Low-Dimensional Topology, ICERM, Providence, RI, April 2022
- Tech Topology Conference, Georgia Institute of Technology, Atlanta, GA, December 2020 (virtual)
- Tech Topology Conference, Georgia Institute of Technology, Atlanta, GA, December 2019
- Current Progress in Low Dimensions Summer School: Institut des sciences mathématiques Université du Québec à Montréal, August 2019
- Park City Mathematics Institute Graduate Summer School: Quantum Field Theory and Manifold Invariants, Park City, Utah, June-July 2019
- Virginia Topology Conference, University of Virginia, Charlottesville, VA, December 2018
- The topology and geometry of low dimensional manifolds: a celebration of the mathematics of Bob Gompf, University of Texas at Austin, Austin, TX, July 2018
- Tech Topology Conference, Georgia Institute of Technology, Atlanta, GA, December 2017
Other
- Co-organizer of Michigan State University Topology and RTG Seminars, 2022-2023 and 2023-2024.
- Participant of American Institute of Mathematics 4d Topology Community, Spring 2021 (virtual)