My current course is 18.424.
Here is the Course
Please see the websites for my courses.
Here is a list of some of my papers that
are available for downloading. Not all of them may be other places
on the web. These
were available electonically at my AT&T website, and I've put some of
them up on this website. The newer ones are mainly on the arXiv.
If there's one that you want that I don't have up, please email me.
My PhD thesis (scanned in) is
My mathematical research is currently mainly in quantum computing and quantum
information theory, but I
am also interested in (and have in the past worked in) algorithms,
computational geometry, combinatorics, and probability theory.
I often get asked what are some good reference material about quantum
A good textbook for quantum computation is
Nielsen and Chuang.
A good textbook for quantum information theory is
Good course notes on the web are available from
Preskill, which may eventually become a book, and from
Umesh Vazirani. I
previously had a link to David Mermin's course notes as well, but these
don't seem to be on the web anymore. They've been turned into
Limericks and some humorous poems
Here is a quantum
computing limerick I wrote (and Volker Strassen's reply to it).
Here are some
is a self-referential Shakespearean sonnet.
This is no clockwork universe, an original poem.
Here are two poems I wrote
for quantum computing skeptics.
Here is The Quantum,
that I wrote in celebration of quantum weirdness.
is my poem Addicted to Proof, that was published in The Mathematical
The Sound of Quantum Fluctuations in the Early Universe, an
Here is An Agnostic Physicist Muses Upon
the Dawn, an original poem.
Here are three poems
I wrote about books by George R.R. Martin.
Here is a
nonsense-style poem inspired by a book by another of my favorite authors, the late Gene
Here is my
Heinrich Heine's poem Die Lorelei.
And here are my translations of Alphonse de Lamartine's wonderful French poems
Here is my
Charles Baudelaire's poem Le Gouffre.
Poetry written by other people
one of my favorite poems, by Conrad Aiken, which is virtually unknown.
It's very appropriate for an
Easter poem, and I posted it for Easter 2018.
Jacqueline Osherow is a contemporary poet whom I really like.
One of my favorite poems of hers is Eclipses
of the Moon.
I gave a talk about Minkowski's and Keller's cube tiling
conjectures, their motivations, and their eventual proof and disproof,
in the IAP Mathematics Lecture Series, on January 26, 2004. The
history of these conjectures is quite interesting, as Minkowski's original
conjecture was motivated by a question about Diophantine approximations,
but on the way to their resolutions, these conjectures mutated into questions
about tiling high dimensional spaces with cubes, about finite Abelian groups,
and about the structures of certain specific graphs.
The lecture notes are
(with some typos fixed 02-08-04).
The homework problems are
For my recent courses, I have used the Canvas course management system and
MIT's Stellar course management system.
My older courses are archived