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Timothy Perutz

Associate Professor
Department of Mathematics

Symplectic topology in mirror symmetry and low-dimensional topology. Graduate Advisor in Mathematics.


Office Location
PMA 10.136

Ph.D., University of London, UK (2005)

Research Interests

Symplectic Topology and Low-dimensional Topology (especially 4-manifolds) (In brief: 4 is considered a low number of dimensions, but 5 is not. Symplectic is an adjective describing something fishy.)

My papers are mostly available for download via the ArXiv (at http://arxiv.org).

Bibliographic information can be found at www.ams.org/mathscinet/search.
Fukaya categories of the torus and Dehn surgery. Proc. National Acad. Sci. USA, 108 (20) (Low Dimensional Geometry and Topology Special Feature), 2011.

The symplectic topology of cotangent bundles. Newsletter of the European Mathematical Society, March 2010. Available at http://www.ems-ph.org/journals/newsletter/pdf/2010-03-75.pdf

A symplectic Gysin sequence, 2008 preprint, ArXiv: arXiv:0807.1863. Hamiltonian handleslides for Heegaard Floer homology. Proc. 14th Gokova ¨Geometry–Topology Conference, International Press, 2008.

Symplectic fibrations and the abelian vortex equations. Comm. Math. Phys. 278, no. 2 (2008), 289–306.

Lagrangian matching invariants for fibred four-manifolds: II. Geom. Topol. 12 (2008), no. 3, 1461–1542.

Lagrangian matching invariants for fibred four-manifolds: I. Geom. Topology 11 (2007).

Zero-sets of near-symplectic forms, J. Symp. Geom. 4 (2006). 

Surface-fibrations, four-manifolds, and symplectic Floer homology. Ph.D. thesis, Imperial College London, 2005.

Papers in preparation

Arithmetic aspects of homological mirror symmetry for the 2-torus (with Y. Lekili).

Lagrangian correspondences and Heegaard Floer theory for 3-manifolds with boundary (with Y. Lekili)

A hypercube for fixed-point Floer homology