Research
I
am interested in low-dimensional topology and gauge
theory. In particular, lately I have been
thinking about Floer homotopy-type invariants and
their applications.
Stuff
- An odd Khovanov homotopy type (2018)
(with Sucharit Sarkar and Christopher Scaduto)
- On
homology cobordism and local equivalence
between plumbed manifolds (2017) (with
Irving Dai)
- On
Newstead's Mayer-Vietoris argument in
characteristic 2 (2017) (with Christopher
Scaduto)
- The
cohomology of rank two stable bundle moduli:
mod two nilpotency & skew Schur
polynomials (2017) (with Christopher
Scaduto)
- Two-fold quasi-alternating
links, Khovanov homology and instanton homology
(2017) (with Christopher Scaduto) (to appear
in Quantum Topology)
- Klein-four connections and the
Casson invariant for non-trivial admissible U(2)
bundles (2017) (with Christopher Scaduto)
(to appear in Algebraic and Geometric Topology)
- A remark on Pin(2)-equivariant
Floer homology (2016) (Michigan Mathematics
Journal)
- Manolescu invariants of
connected sums (2017) (Proceedings of the
London Mathematical Society)
- Pin(2)-equivariant
Seiberg-Witten Floer homology of Seifert
fibrations (2015)
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