Recent projects

My graduate studies focused on the following projects:
  • gravitational n-body choreographies and rigorous numerical existence proofs therefor;
  • rigorous numerical existence proofs for codes in compact manifolds; and
  • linear and semidefinite programming bounds for spherical codes.
The latter two projects are joint work with Abhinav Kumar and Henry Cohn.



Miscellaneous notes

This section contains notes that are expository, abandoned, just for fun, or otherwise not research-caliber. I am slowly posting them; items not yet uploaded are available upon request.

  • "Skew fields in central simple algebras"
  • "Non-cohomological proof that the Brauer group is torsion"
  • "Galois embedding problems" (talk notes, 11/28/2012) abstract
  • "Conway's Angel problem" (talk notes, 11/30/2011)
  • "Fields in which every separable extension is Galois"
  • "Prime proving algorithms" (talk notes, 11/23/2010)
  • "Exact value of Fiege's game with parallel repetition"
  • "Moments of random orthogonal matrices"
  • "Conway's 'Look-and-say sequence'"