Nick Sheridan

I am a Royal Society University Research Fellow and Reader in the School of Mathematics at the University of Edinburgh.

Contact

Email:
nick dot sheridan at ed dot ac dot uk

Address:
School of Mathematics
University of Edinburgh
Peter Guthrie Tait Road
Edinburgh
EH9 3FD
UK

Photo

Research Interests

I am interested in homological mirror symmetry and symplectic topology.

Publications

On the homological mirror symmetry conjecture for pairs of pants, Journal of Differential Geometry, 89 (2011), no. 2, 271-367 journal link, arXiv.

Homological Mirror Symmetry for Calabi-Yau hypersurfaces in projective space, Inventiones Mathematicae 199 (2015), no. 1, 1-186 journal link, arXiv, doi 10.1007/s00222-014-0507-2

On the Fukaya category of a Fano hypersurface in projective space, Publications mathématiques de l'IHÉS, 124 (2016), no. 1, 165-317 journal link, arXiv, doi 10.1007/s10240-016-0082-8.

Preprints

(With Ivan Smith) Rational equivalence and Lagrangian tori on K3 surfaces, 29 pages, arXiv.

(With Mohammed Abouzaid, Sheel Ganatra and Hiroshi Iritani) The Gamma and Strominger--Yau--Zaslow conjectures: a tropical approach to periods, 31 pages, arXiv.

(With Ivan Smith) Lagrangian cobordism and tropical curves, 56 pages, arXiv.

Versality in mirror symmetry, 43 pages, arXiv.

(With Ivan Smith) Symplectic topology of K3 surfaces via mirror symmetry, 34 pages, arXiv.

(With Ivan Smith) Homological mirror symmetry for generalized Greene--Plesser mirrors, 39 pages, arXiv.

Versality of the relative Fukaya category, 100 pages, arXiv.

(With Tim Perutz and Sheel Ganatra) Mirror symmetry: from categories to curve counts, 37 pages, arXiv.

(With Tim Perutz) Automatic split-generation for the Fukaya category, 24 pages, arXiv.

Formulae in noncommutative Hodge theory, 54 pages, arXiv.

Curriculum Vitae

Curriculum Vitae of Nick Sheridan.

Notes and slides

Mini-course on counting curves using the Fukaya category from Simons Workshop, May 2017.

Mini-course on the Fukaya category at Jussieu summer school, June 2016.

Notes and videos from a workshop on homological mirror symmetry for Calabi-Yau hypersurfaces in projective space at the Hebrew University of Jerusalem, June 2015.

Notes from Strom Borman's lectures on overtwisted contact structures at the IAS: talk 1, talk 2, talk 3, talk 4.

Notes from my lectures on homological mirror symmetry at the IAS.

Notes from my talk on the Gross--Siebert program at the 2013 MIT RTG workshop on mirror symmetry with Mark Gross.

Notes from the 2011 RTG workshop on Microlocal Sheaf Theory with David Nadler.

Notes from the 2010 RTG workshop on Symplectic Field Theory with Tobias Ekholm.

Notes from the 2009 Talbot workshop on Fukaya categories with Paul Seidel.

Notes from the discussion sessions (3d Combinatorics and SH=0) at the 2009 AIM Workshop on Cyclic Homology and Symplectic Topology.

Notes on the proof of the surgery formulae in `Effect of Legendrian Surgery'.

My Honours thesis on Hamilton's Ricci Flow.

Slides from my pumagrass talk on Ricci Flow.

Slides from my pumagrass talk on Tropical Underwear.