Recent projects
My graduate studies focused on the
following projects:

gravitational nbody 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 researchcaliber. I am slowly posting
them; items not yet uploaded are available upon request.
 "Skew fields in central simple algebras"
 "Noncohomological 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 'Lookandsay sequence'"