Web page for David Vogan
My office is Room 2-355, at MIT.
Telephone: 617-253-4991
E-mail: dav at math.mit.edu
My office telephone is forwarded to me. I very rarely go to the office. Best way to reach me is email; I am happy to arrange Zoom meetings, or Google Hangouts, or Skype. Mailing to the office address is usually a bad idea; I will probably not receive such things for months after they arrive.
Even in these desperate times, I have not joined Facebook.
Acknowledgements
I have followed the department's instructions
for creating a home page, and copied the home page of Richard Melrose. I regret the
inevitable errors that this process must have introduced.
Pictures
With ever-growing admiration and constant
affection, here are a few pictures of Fokko du
Cloux.
Like everyone in the world, I play a small part in a YouTube video.
Since the video is less than fifteen minutes long, I look forward to more
fame in the future.
There is a small collection of family
pictures; separately you can look at Venice, where Lois and I celebrated our 30th
anniversary, (or with small pictures.)
Lois and Allison's trip to see Jonathan in
Brazil, a collection of math-related
pictures, and (at the instigation of Tony Chiang) a collection of
studio portraits of me. There are also pictures
from my trip to China in July and August of
2004; these are also available as small
pictures.
Mathematics
-
The working/learning seminar Real reductive
groups/atlas continues on Zoom Thursdays 10:30-12:00 in Fall 2020. Emphasis since the spring has been on understanding the relationships among Weyl group representations, reductive group representations, and nilpotent orbits.
-
Some of my papers, (including slides from an introduction to the orbit
method given at Bert Kostant's birthday conference in May, 2008), and my
vita as a pdf file.
-
Jeff Adams is leading an effort to bring the clarity and
reliability of hardware documentation to unitary representation
theory. The working title of the project is The Atlas of Lie Groups and
Representations and you can find a (constantly growing) collection
of interesting mathematics there.
-
The Mathematics
Genealogy Project. This is a database of mathematics thesis
advisors and their students. Find out who your mathematical second
cousins are, and whether you would go to Thanksgiving dinner with
them.
-
The AMS electronic journal Representation
Theory
- Group representer Brian Boe has a
collection of links to other representation theory people, and to some of their
papers on the arXiv.
-
The AMSRefs version of my file of
references. These are the papers that
appeared in bibliographies of papers written since I started using a
computer. Slightly (that is, fifteen years) less up-to-date is
AMSTeX version of the file.
-
Along these lines, you can visit
Paul Garrett's
references, which are for automorphic forms, L-functions, and
representation theory.
-
There is a wonderful site at the University of St. Andrews for mathematical
history, including biographies of more than a thousand
mathematicians.
Characters of E8
Here are the slides for a version of the lecture "The character table of E8," in the version delivered at WPI on September 15, 2011. There was an article published in the
AMS Notices of October 2007, describing the mathematical problem and
its history more completely. The historical aspects of this article
(contained in a sentence or two on page 1128) were inaccurate. You
can find here a revision that tries
harder.
You can also look at the AIM web
site on the subject for a non-technical introduction. A detailed
discussion of the software difficulties attached to the size of the
calculation is in Marc van Leeuwen's
lecture. The best picture is a two-dimensional projection of the root system of
E8, made by John Stembridge from a
drawing by Peter McMullen.
There is a web page for
mathematicians who don't want to learn about this subject, written
by Fearless Project Leader Jeff Adams. If you do want to learn about the subject,
visit the Atlas of Lie Groups and
Representations.
Richard Duffy has kindly (to me; YMMV)
provided an mp3 audio file for the E8
lecture. Michael Breen edited out some of the "ums," but didn't
completely succeed in making me sound like Laurence Olivier.
For an extremely nontechnical account, go to
Amazon's
web page for the thriller The Wheel of Darkness, by
Douglas Preston and Lincoln Child. Click on
"look inside," and search for "E8".
A list of my current PhD students
-
Timothy Ngotiaoco (timngo at mit.edu)
I was a student of Bertram Kostant, finishing in 1976.
A list of my graduated students (there's no such category as "former"
student)
-
MS: 2009
-
Tonghoon Suk (tonghoon.suk at gmail.com)
-
PhD: 2008
-
Jerin Gu (zerin at mit.edu)
-
Miki Havlickova (marketa.havlickova at yale.edu)
-
PhD: 2007
-
Chuying Fang (cyfang224 at gmail.com)
-
MS: 2005
- Karen Bernhardt
-
Nicholas McCarthy
-
PhD: 2004
-
Alessandra Pantano
(alessandra.pantano at gmail.com)
-
Wai Ling Yee (wlyee at math.uwindsor.ca)
-
PhD: 2000
-
Wentang Kuo
(wtkuo at math.uwaterloo.ca)
-
Dana Pascovici (dana.pascovici at gmail.com)
-
PhD: 1999
-
Adam Lucas (alucas at clausius.ucsf.edu)
-
PhD: 1996
-
Diko Mihov (mihov at deshaw.com)
-
PhD: 1992
-
Eugenio Garnica (garnica at servidor.unam.mx)
-
William Graham
(wag at math.uga.edu)
-
PhD: 1989
-
Jing-Song Huang (mahuang at uxmail.ust.hk)
- Iwan Pranata (Iwan.Praton at FANDM.EDU)
-
PhD: 1988
-
Hisayosi Matumoto (hisayosi at ms.u-tokyo.ac.jp)
-
PhD: 1987
-
Jesper Bang-Jensen
-
William McGovern (mcgovern at math.washington.edu)
-
James Schwartz
-
PhD: 1983
-
Luis Casian
(casian at math.ohio-state.edu)
- Joseph Johnson (jjohnson at queensu.ca)
Return to the MIT Math Department
Homepage