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Timothy Perutz

  • Associate Professor
  • Mathematics
Profile image of Timothy Perutz
perutz@math.utexas.edu
PMA
10.136
Tim Perutz

Biography

Timothy Perutz is an associate professor in the Department of Mathematics at The University of Texas at Austin. He earned his Ph.D. from the University of London in 2005. Prior to his doctoral studies, he obtained a Certificate of Advanced Study in Mathematics with Distinction from the University of Cambridge in 2001 and a B.A. in mathematics from the University of Cambridge in 2000. 

Before joining UT Austin in 2009, Perutz held positions as a Ritt Assistant Professor at Columbia University and as an EPSRC Research Associate at the University of Cambridge from.

Perutz's research interests include symplectic topology and low-dimensional topology, particularly the study of 4-manifolds. His work often involves the application of pseudo-holomorphic curve techniques and the exploration of mirror symmetry.

Research

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.)

Research Areas

  • Mathematics

Fields of Interest

  • Geometry
  • Topology

Education

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

Publications

  • 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

    http://www.ma.utexas.edu/users/perutz/research.html#papers