Will J. Merry DPMMS University of Cambridge CB3 0WB, UK   Queens' College CB3 9ET, UK Email:

Information

• My research interests:
  • Lagrangian and Hamiltonian dynamics, Floer homology, hyperbolic dynamical systems, symplectic topology, Riemannian geometry. I'm currently working on Rabinowitz Floer homology. My advisor is Gabriel Paternain.
  
  
• Papers and preprints
  • [1] Stability of Anosov Hamiltonian Structures, with Gabriel Paternain.
  • [2] Closed orbits of a charge in a weakly exact magnetic field, to appear in Pacific J. Math.
  • [3] On the Rabinowitz Floer homology of twisted cotangent bundles.
  
  
• X-ray notes
  • [1] The X-ray Transform in Geometry and Dynamics, with Gabriel Paternain.
  
  
• Working Seminar on Rabinowitz Floer homology, Aubry-Mather theory and Novikov symplectic homology
  • This will be a working seminar on Rabinowitz Floer homology, Aubry-Mather theory and Novikov symplectic homology. More information can be found here. We will meet from 3pm till 5pm on Fridays in MR14, beginning on Friday October 16th. All interested are encouraged to attend. The schedule for the seminar can be found here.
  
  
• Lecture notes and other assorted stuff
  • [1] Differential Geometry Part III lecture notes.
  • [2] Algebraic Topology Part III lecture notes.
  • [3] Complex Manifolds Part III lecture notes.
  • [4] Elliptic PDE Part III lecture notes.
  • [5] Part III essay on 'Floer Homology of Cotangent Bundles.'
  • [6] Notes from 'Introduction to Homotopy Theory' talk.
  • [7] Notes from a series of talks in the Neuchatel Winter School on Closed Geodesics on 'A Theorem of Katok'.
  • [8] Slides from a talk on Stability of Anosov Hamiltonian Structures.
  
  
• Teaching
  
  • This term I am supervising the Part II course Differential Geometry, taught by Mihalis Dafermos. I am also running example classes for Gabriel Paternain's Part III course The X-ray Transform in Geometry and Dynamics. Previously I have supervised Part II Algebraic Geometry and Part II Riemann Surfaces. I have also ran example classes for the Part III course on Spectral Geometry, taught by Dennis Barden. Here are some revision notes I produced.
    

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