Research

Publications and Preprints

  1. An unoriented skein relation via bordered–sutured Floer homology, with David Shea Vela-Vick.
    Submitted for publication.
    On the arXiv: arXiv:1811.00134.

  2. Skein relations for tangle Floer homology, with Ina Petkova.
    Submitted for publication.
    Previous version titled “An unoriented skein relation for tangle Floer homology”.
    On the arXiv: arXiv:1611.04065.

  3. Grid diagrams and Manolescu's unoriented skein exact triangle for knot Floer homology.
    Algebr. Geom. Topol. 17 (2017), no. 3, 1283–1321.
    On the arXiv: arXiv:1305.2562.
    Review on MathSciNet.

  4. From self-similar structures to self-similar groups, with Daniel J. Kelleher and Benjamin A. Steinhurst.
    Internat. J. Algebra Comput. 22 (2012), no. 7, 1250056, 16 pages.
    On the arXiv: arXiv:1011.1817
    Review on MathSciNet.

Articles in Preparation

  1. Lagrangian cobordisms and the Legendrian invariant in grid homology, with John A. Baldwin and Tye Lidman.

  2. Cyclic branched covers and combinatorial invariants of transverse knots, with David Shea Vela-Vick.

  3. An unoriented skein exact triangle for unoriented grid homology.

Slides from Previous Talks

  1. GRID invariants obstruct decomposable Lagrangian cobordisms.
    AMS Fall 2018 Southeastern Sectional Meeting, University of Arkansas, Fayetteville, AR.

  2. An unoriented skein exact triangle for tangle Floer homology.
    AMS Spring 2017 Eastern Sectional Meeting, Hunter College, CUNY, New York, NY.

  3. From self-similar structures to self-similar groups.
    AMS Fall 2010 Eastern Sectional Meeting, Syracuse University, Syracuse, NY.