Department of Mathematics
Duke University
211 Physics Building, 120 Science Drive
Durham, NC 27708
E-mail: alevine at math dot duke dot edu

I am an associate professor at Duke University. My research is in low-dimensional topology, with a focus on Heegaard Floer homology and its applications to knot theory, concordance, surfaces in 3- and 4-manifolds, and other areas. My CV can be found here.

I am partially supported by an NSF Topology grant (DMS-1806437).

### Papers

• Khovanov homology detects the figure-eight knot (with John A. Baldwin, Nathan Dowlin, Tye Lidman, and Radmila Sazdanovic)
[abstract] [pdf] Preprint.

• Khovanov homology and ribbon concordance (with Ian Zemke)
[abstract] [pdf] Bulletin of the London Mathematical Society 51 (2019), no. 6, 1099-1103.

• A surgery formula for knot Floer homology (with Matthew Hedden)
[abstract] [pdf] Preprint.

• Simply-connected, spineless 4-manifolds (with Tye Lidman)
[abstract] [pdf] Forum of Mathematics, Sigma, 7 (2019), e14.

• Knot concordance in homology cobordisms (with Jennifer Hom and Tye Lidman)
[abstract] [pdf] Preprint.

• Heegaard Floer invariants in codimension one (with Daniel Ruberman)
[abstract] [pdf] Transactions of the AMS 371 (2019), no. 5, 3049-81.

• Khovanov homology and knot Floer homology for pointed links (with John Baldwin and Sucharit Sarkar)
[abstract] [pdf] Tim Cochran Memorial Volume, Journal of Knot Theory and its Ramifications 26 (2017), 1740004.

• Strong Heegaard diagrams and strong L-spaces (with Joshua Greene)
[abstract] [pdf] Algebraic & Geometric Topology 16 (2016), 3167-3208.

• Non-surjective satellite operators and piecewise-linear concordance
[abstract] [pdf] Forum of Mathematics, Sigma 4 (2016).

• Generalized Heegaard Floer correction terms (with Daniel Ruberman)
[abstract] [pdf] Proceedings of Gökova Geometry-Topology Conference 2013, 76-96.

• Non-orientable surfaces in homology cobordisms (with Daniel Ruberman and Sašo Strle, and with an appendix by Ira M. Gessel)
[abstract] [pdf] Geometry & Topology 19 (2015), no. 1, 439-494.

• Splicing knot complements and bordered Floer homology (with Matthew Hedden)
[abstract] [pdf] Journal für die reine und angewandte Mathematik 720 (2016), 129-154.

• Strong L-spaces and left-orderability (with Sam Lewallen)
[abstract] [pdf] Mathematical Research Letters 19 (2012), no. 6, 1237-1234.

• A combinatorial spanning tree model for knot Floer homology (with John Baldwin)
[abstract] [pdf] Advances in Mathematics 231 (2012), 1886-1939.

[abstract] [pdf] Journal of Topology 5 (2012), 713-726.

• Knot doubling operators and bordered Heegaard Floer homology
[abstract] [pdf] Journal of Topology 5 (2012), 651-712.

• On knots with infinite concordance order
[abstract] [pdf] Journal of Knot Theory and its Ramifications 21 (2012), no. 12, 1250014.

• Computing knot Floer homology in cyclic branched covers
[abstract] [pdf] Algebraic & Geometric Topology 8 (2008), 1163--1190.

### Teaching

In Fall 2020, I will be teaching Math 620: Smooth Manifolds (MW 8:30-9:45). Students should consult the Sakai page for more information.

### Slides

Here are slides from a few of my talks: