Ph.D. Students
Former
(By graduation year.)
- Ina Petkova. Ph.D., Columbia University, 2012. Co-advised with P. Ozsváth and D. Thurston
- Thesis: Bordered Heegaard Floer homology, Satellites, and Decategorification.
- Currently an Associate Professor at Dartmouth University.
- Kristen Hendricks. Ph.D., Columbia University, 2013. Co-advised with P. Ozsváth.
- Thesis: Localization and Heegaard Floer Homology.
- Currently an Associate Professor at Rutgers University.
- Jonathan Hales. Ph.D., Stony Brook University, 2013. Co-advised with O. Plamenevskaya.
- Thesis: Exotic Four-Manifolds, Corks, and Heegaard Floer Homology.
- Currently a Software Engineer working at PostEra.ai.
- Corrin Clarkson. Ph.D., Columbia University, 2014.
- Thesis: Three Manifold Mutations Detected by Heegaard Floer Homology.
- Currently the Director of General Education Math Modeling at Indiana University.
- Jonathan Hanselman. Ph.D., Columbia University, 2014.
- Thesis: Bordered Heegaard Floer homology and graph manifolds.
- Currently an Assistant Professor at Princeton University.
- Mike Wong. Ph.D., Columbia University, 2017. Co-advised with P. Ozsváth.
- Thesis: Unoriented skein relations for grid homology and tangle Floer homology.
- Currently an Assistant Professor at the University of Ottawa.
- James Cornish. Ph.D., Columbia University, 2018.
- Thesis: Growth Rate of 3-Manifold Homologies under Branched Covers.
- Currently on the job market.
- Jeffrey Musyt. Ph.D., University of Oregon, 2019.
- Thesis: Equivariant Khovanov homotopy and periodic links.
- Currently an Assistant Professor at Slippery Rock University.
- Keegan Boyle. Ph.D., University of Oregon, 2019.
- Thesis: On symmetries of knots and their surgeries.
- Currently an Assistant Professor at New Mexico State University.
- Michael Gartner. Ph.D., University of Oregon, 2019.
- Thesis: Naturality in Heegaard Floer homology.
- Currently a data scientist at AI2.
- Gabriel Montes de Oca. Ph.D., University of Oregon, 2020.
- Thesis: An odd analog of Plamenevskaya's invariant of transverse knots
- Currently on the job market.
- Champ Davis. Ph.D., University of Oregon, 2023.
- Thesis: Structures and computations in annular Khovanov homology.
- Currently a lecturer at CU Boulder.
- Gary Guth. Ph.D., University of Oregon, 2023.
- Thesis: Ribbons, satellites, and exotic phenomena in Heegaard Floer homology.
- Currently a Simons postdoc at Stanford University.
- Jesse Cohen. PhD., University of Oregon, 2023.
- Thesis: Composition and cobordism maps.
- Currently a postdoctoral research associate at Hamburg University.
- Holt Bodish. Ph.D., University of Oregon, 2024.
- Thesis: Reducible Dehn surgeries, ribbon concordance, and satellite knots.
- Currently a postdoc at UIUC.
Current
- Neda Bagherifard (University of Oregon)
- Siavash Jafarizadeh (University of Oregon).
- Hanming Liu (University of Oregon).
Master's Students
- Jacqueline Stone, M.S., University of North Carolina, 2013.
- Master's project: Algebraic Topology from the Perspective of Morse Homology
- Currently an Adjunct Mathematics Instructor at New Jersey Institute of Technology.
Undergraduate Students
Senior theses
- Edward Trefts, "Knot Floer Homology and the Genera of Torus Knots." Senior thesis, Columbia University, April 2008.
- Emily Clader, "Homotopy Theory of Finite Topological Spaces." Senior thesis, Columbia University, April 2009.
- A condensed version of this paper is published as: Emily Clader, "Inverse limits of finite topological spaces." Homology, Homotopy and Applications, 11 (2009), no. 2, 223--227.
- Atanas Atanasov, "Knots in S3 and Bordered Heegaard Floer Homology." Senior thesis, Columbia University, April 2010.
- Kyler Siegel, "A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action." arXiv:1108.3676. Senior thesis, Columbia University, August 2011.
- Nathaniel Schieber, "A Computational Approach to Tangles." Senior thesis, University of Oregon, June 2018.
Summer research projects
Columbia Undergraduate Mathematics Research Program, 2007.
These projects were assisted by Thomas Peters.- Jonathan Hales, Dmytro Karabash and Michael Lock, "A Modification of the Sarkar-Wang Algorithm and an Analysis of its Computational Complexity." August 2007; revised January 2008. arXiv:0711.4405.
- Yael Degany, Andrew Freimuth and Edward Trefts, "Some Computational Results about Grid Diagrams of Knots." August 2007; revised April 2008.
Columbia Undergraduate Mathematics Research Program, 2009.
This project was coadvised with Timothy Perutz, with assistance from Jonathan Bloom and Thomas Peters
- Jin Woo Jang, Rachel Vishnepolsky and Xuran Wang, "Computing Fixed Point Floer Homology via the Hochschild Homology of a Sequence of Curves." November 2009. Rose Hulmann Journal of Undergraduate Mathematics Volume 11, Issue 2, 2010.