Matthew Perlmutter

I received my PhD from the mathematics department of U.C. Berkeley.

My advisor was Professor Jerrold Marsden .

Research Interests

My research in mathematics is focussed on three areas connected to differential geometry and mathematical physics:

  1. geometric mechanics
  2. symplectic geometry
  3. theory of singular reduction

In addition, I have an ongoing interest in computational mechanics; particularly algorithms that preserve geometric structure.


Some Downloads:

My Thesis :  dvi and postscript and pdf .


CV :  pdf .

My Research Statement :  pdf .
  1. McLachlan, R., Perlmutter, M. [2000] Conformal Hamiltonian Systems, accepted, Journal of Geometry and Physics { postscript (compressed)}{latex source}

  2. Marsden, J.E., Perlmutter, M. [2000] The orbit bundle picture of cotangent bundle reduction,   C. R. Math. Rep. Acad. Sci. Canada, Vol. 22, 33-54. {postscript (compressed)}

  3. Perlmutter, M., Ratiu, T. [2004] Gauged Poisson Structures,   {pdf} preprint
  4. Marsden, J.E., Misiolek G., Ortega, J.-P., Perlmutter, M., Ratiu, T. [2004] Hamiltonian reduction by stages,   Accepted for publication, Springer Lecture notes in Mathematics; {pdf}
  5. Marsden, J.E., Misiolek G., Perlmutter, M., Ratiu, T. [1998] Symplectic reduction for semidirect products and central extensions,   Journal of Differential Geometry and its Applications, Vol 9, No. 1-2, 173-212. {postscript}{pdf}
  6. R.I. McLachlan and M. Perlmutter [2004] Variational integrators for nonholonomic systems,   {pdf} preprint
  7. R.I. McLachlan, M. Perlmutter, and G. R. W. Quispel [2003] On the nonlinear stability of symplectic integrators,   Accepted for publication, BIT, {pdf}
  8. R.I. McLachlan, M. Perlmutter, and G. R. W. Quispel [2003] Lie group foliations: dynamical systems and integrators,   Future Generation Computer Systems, vol 987, 1-13. {pdf}
  9. M. Perlmutter, M. Rodriguez-Olmos, E. Sousa-Dias [2003] On the geometry of reduced contangent bundles at zero momentum,   ,preprint, {pdf}
  10. M. Perlmutter, M. Rodrigues-Olmos, E. Sousa-Dias [2004] The Witt-Artin decomposition of a cotangent lifted action,  , preprint, {pdf}

    How to get in touch with me:

    Return to Control and Dynamical Systems Home Page