Most of my research has focused on Floer theory and its applications. An annotated bibliography of selected works can be found here. A more in-depth description of my research and the questions that I am interested in can be found here. Links to my papers and preprints can be found below.

  1. Equivariant knots and knot Floer homology
    with Abhishek Mallick and Matthew Stoffregen.
  2. Homology concordance and knot Floer homology
    with Jennifer Hom, Matthew Stoffregen, and Linh Truong.
  3. Instanton Floer homology of almost-rational plumbings
    with Antonio Alfieri, John A. Baldwin, and Steven Sivek.
    To appear in Geometry & Topology.
  4. Corks, involutions, and Heegaard Floer homology
    with Matthew Hedden and Abhishek Mallick.
    To appear in Journal of the European Mathematical Society.
  5. The 0-concordance monoid is infinitely generated
    with Maggie Miller.
    To appear in Proceedings of the American Mathematical Society.
  6. More concordance homomorphisms from knot Floer homology
    with Jennifer Hom, Matthew Stoffregen, and Linh Truong.
    Geometry & Topology, 25 (2021), 275—338.
  7. An infinite-rank summand of the homology cobordism group
    with Jennifer Hom, Matthew Stoffregen, and Linh Truong.
  8. Connected Heegaard Floer homology of sums of Seifert fibrations
    Algebraic & Geometric Topology, 19 (2019), 2535—2574.
  9. On homology cobordism and local equivalence between plumbed manifolds
    with Matthew Stoffregen.
    Geometry & Topology, 23 (2019), 865—924.
  10. Involutive Heegaard Floer and plumbed three-manifolds
    with Ciprian Manolescu.
    Journal of the Institute of Mathematics of Jussieu, 18(6) (2019), 1115—1155.
  11. On the Pin(2)-equivariant monopole Floer homology of plumbed 3-manifolds
    The Michigan Mathematical Journal, 67(2) (2018), 423—447.
  12. Diameter bounds and recursive properties of Full-Flag Johnson graphs
    Discrete Mathematics, 341(7) (2018), 1932—1944.
  13. Combinatorial properties of Full-Flag Johnson graphs
    Combinatorial Algorithms, IWOCA 2015, 112—123
    Lecture Notes in Computer Science (9538), Springer (2016).
  14. On rationally ergodic and rationally weakly mixing rank-one transformations
    with Xavier Garcia, Tudor Pădurariu, and Cesar Silva.
    Ergodic Theory and Dynamical Systems, 35 (2014), 1141—1164.