About me

I am a mathematician working in low-dimensional topology. My research interests include knot concordance, link cobordisms, embedded surfaces in 4-manifolds, and Heegaard Floer homology.
Since September 2020 I am a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn, Germany. In September 2021 I will move to the Alfréd Rényi Institute for Mathematics.

CV

Click here to learn more about me.

Teaching

This year I am not teaching any class. Click here for my past teaching.

Research

Preprints

  1. A generalization of Rasmussen's invariant, with applications to surfaces in some four-manifolds (with Ciprian Manolescu, Sucharit Sarkar, and Michael Willis). Link

Accepted for publication

  1. Strands algebras and Ozsváth-Szabó's Kauffman-states functor (with Andrew Manion and Michael Willis), to appear in Algebr. Geom. Topol. Link
  2. Generators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebras, (with Andrew Manion and Michael Willis), to appear in Nagoya Math. J. Link

Publications

  1. The Knight Move Conjecture is false (with Ciprian Manolescu), Proceedings of the AMS, vol. 148, iss. 1, pp. 435-439 (2020). Link
  2. Correction terms and the non-orientable slice genus (with Marco Golla), Michigan Math. J., vol. 67, iss. 1, pp. 59-82 (2018). Link
  3. Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT (with András Juhász), Selecta Mathematica - New Series, vol. 20, iss. 2, pp. 1315-1390 (2018). Link
  4. Concordance maps in knot Floer homology (with András Juhász), Geometry & Topology, vol. 20, pp. 3623-3673 (2016). Link
  5. On d-invariants and generalised Kanenobu knots, J. Knot Theory Ramifications, 25, 1650048 (2016). Link

Teaching

Past teaching at UCLA

Term Classes taught
Spring 2020 MATH 123 - Foundations of Geometry
Winter 2020 MATH 31B - Integration and infinite series
Fall 2019 MATH 31B - Integration and infinite series
MATH 115A - Linear Algebra
Spring 2019 MATH 31B - Integration and infinite series
MATH 123 - Foundations of Geometry
Winter 2019 MATH 31B - Integration and infinite series
Fall 2018 MATH 115A - Linear Algebra
MATH 235 - Manifold Theory
Spring 2018 MATH 115A - Linear Algebra
MATH 131A - Analysis
Winter 2018 MATH 115B - Linear Algebra
MATH 123 - Foundations of Geometry
Fall 2017 MATH 31B - Integration and infinite series

Contact