My Students
John Baez
November 30, 2008
Here's a picture of my grad students as of the summer of 2004.
I'm very proud of them all! They're smart and
lots of fun. If any of them asks you for a job, you should
instantly hire them.
From left to right they are:

Derek Wise, who
wrote about
pform
electromagnetism on discrete spacetimes,
exotic statistics
for strings,
and MacDowellMansouri gravity and Cartan Geometry.
While a student here he
created beautiful notes for our Quantum Gravity Seminar, from
Fall 2003 to
Spring 2007.
In the spring of 2007 he finished his thesis
and went on to a postdoc at U. C. Davis.

Jeffrey Morton,
who wrote about
categorified algebra
and quantum mechanics and the
role of
cobordisms with corners in topological quantum field theory,
especially the DijkgraafWitten model. In the spring of 2007 he finished
his thesis and
went on to a postdoc with Dan Christensen at the University of Western Ontario.

Alissa Crans,
who worked on aspects of higher
gauge theory, namely Lie 2algebras and their relation to topology.
We wrote a paper
together on this stuff.
In June 2004 she gave a nice lecture on higher linear algebra at the
Institute for
Mathematics and its Applications  check out her
lecture notes.
In August of 2004 she finished her
PhD thesis.
She then started a tenuretrack job
at Loyola Marymount University in Los Angeles. This was close
enough that we could easily keep on collaborating, so we wrote
a paper on loop groups
and 2groups with a couple of friends.

Toby Bartels,
who wrote many
expository papers including especially nice ones
on quaternionic quantum mechanics
and the theory
of
properties, structure and stuff. In June 2006, he finished his
thesis on higher gauge theory.
Starting in the fall of 2008 he'll be back in Southern California
doing some math tutoring and maybe more research with me.

Miguel
Carrión Álvarez,
who found a beautiful generalization of the
GelfandNaimark
theorem. Miguel typed up detailed notes of
the Fall
2000 and Winter 2001 sessions of the
quantum gravity seminar, which dealt with spin
networks and topological field theory. Someday these may become a book!
In December 2004, he finished his
thesis on Wilson loop dynamics for
the quantized electromagnetic field. In the process he became a bit
of an expert on analysis on noncompact Riemannian manifolds. Now
he's in London working in mathematical finance.
If you think they're so cute you want an even bigger picture, click
here.
If you want to learn more about their research, click
here.
Here is a picture of Miguel, Jeffrey and Derek taken in London in
2008:
© 2008 John Baez
baez@math.removethis.ucr.andthis.edu