My go-to professional photo.

Melissa Zhang

Contact Information

Maloney Hall 534
Department of Mathematics
Boston College
Chestnut Hill, MA 02467
USA

About

I'm a fifth-year PhD student studying low-dimensional topology at Boston College. My advisors are Eli Grigsby and David Treumann. I am interested in the connections between Khovanov and Floer homologies, categorification and quantum invariants, and more recently, Khovanov homotopy type. For the last few years, I've been exploring how symmetries in knots, links, and related spaces manifest in their algebraic invariants. Periodic links led me into the world of annular Khovanov homology, where I still spend a lot of time recovering annular versions of various Khovanov-related homology theories and spectral sequences.

For the 2018-19 academic year, I am a Visiting PhD Student at Columbia University's mathematics department.

I completed my B.S. in Mathematics at Caltech in 2014.

Preprints and Publications

Localization in Khovanov homology
with Matthew Stoffregen,
arXiv:math.GT/1810.04769.
[arXiv]

A rank inequality for the annular Khovanov homology of 2-periodic links
Algebraic & Geometric Topology 18-2 (2018), 1147--1194.
[Published version] [arXiv]

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