My research focuses on using Heegaard Floer homology to answer questions in low-dimensional topology.

Publications and Preprints

  1. Involutive Heegaard Floer homology and rational cuspidal curves
    with M. Borodzik. Submitted, 2017.
    arXiv:1609.08303
  2. A note on surgery obstructions and hyperbolic integer homology spheres
    with T. Lidman. Submitted, 2017.
    arXiv:1604.06047
  3. Satellite knots and L-space surgeries
    Bulletin of the London Mathematical Society
    arXiv:1601.05696
  4. A survey on Heegaard Floer homology and concordance
    Tim Cochran Memorial Volume, JKTR Vol. 22, Iss. 2.
    arXiv:1512.00383
  5. A note on positive definite, symplectic manifolds
    with T. Lidman.
    To appear in Journal of the European Mathematical Society
    arXiv:1510.00373
  6. Cable links and L-space surgeries
    with E. Gorsky.
    To appear in Quantum Topology
    arXiv:1502.05425
  7. The Alexander module, Seifert forms, and categorification
    with T. Lidman and L. Watson.
    Journal of Topology Vol. 10, Iss. 1, 22-100
    arXiv:1501.04866
  8. Surgery obstructions and Heegaard Floer homology
    with C. Karakurt and T. Lidman.
    Geometry & Topology 20 (2016), 2219-2251
    arXiv:1408.1508
  9. A note on the concordance invariants epsilon and upsilon
    Proceedings of the American Mathematical Society
    arXiv:1407.8200
  10. Berge-Gabai knots and L-space satellite operations
    with T. Lidman and F. Vafaee.
    Algebraic & Geometric Topology 14 (2014), Iss. 6, 3745-3763
    arXiv:1406.1597
  11. Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant
    with Z. Wu.
    Journal of Symplectic Geometry Vol. 14, No. 1 (2016), 305-322
    arXiv:1401.1565
  12. An infinite rank summand of topologically slice knots
    Geometry & Topology 19 (2015), 1063-1110
    arXiv:1310.4476
  13. Reducible surgeries and Heegaard Floer homology
    with T. Lidman and N. Zufelt.
    Mathematical Research Letters, Vol. 22 (2015), Iss. 3
    arXiv:1307.5317
  14. On the knot Floer filtration of the concordance group
    with S. Hancock and M. Newman.
    Journal of Knot Theory and Its Ramifications, Vol. 22, Iss. 14
    arXiv:1210.4193
  15. On the concordance genus of topologically slice knots
    International Mathematics Research Notices Vol. 2015, Iss. 5, 1295-1314
    arXiv:1203.4594
  16. Bordered Floer homology and the tau-invariant of cable knots
    Journal of Topology Vol. 7, Iss. 2, 287-326
    arXiv:1202:1463
  17. The knot Floer complex and the smooth concordance group
    Commentarii Mathematici Helvetici Vol. 89, Iss. 3, 537-570
    arXiv:1111.6635
  18. A note on cabling and L-space surgeries
    Algebraic & Geometric Topology 11 (2011), Iss. 1, 219-223
    arXiv:0912.4046
  19. Discriminative topological features reveal biological network mechanisms
    with M. Middendorf, E. Ziv, C. Adams, L. Chen, R. Koytcheff, C. Levovitz, G. Woods, and C. Wiggins. BMC Bioinformatics 2004, 5:181 2004, 5:181
    arXiv:q-bio/0402017