3. Postdoctoral Program - MSRI

REPORT FROM MENTOR
June 2010
-------- Original Message --------
Subject: Scott Crofts
Date: Tue, 15 Jun 2010 05:40:51 -0700
From: Martin Weissman
To: Helene Barcelo
CC: Chongying Dong
Dear Helene (cc. Chongying),
I'm writing to provide an update on Scott Crofts, who has been appointed as an MSRI
postdoctoral fellow here at UC Santa Cruz for the past academic year.
It's been a pleasure talking with Scott about his research in representation theory. He has
focused on two research tasks that I know of. First, and perhaps most importantly, he has
spent time getting the results of his Ph.D. thesis published. This thesis, on the
representations of covers of Spin groups, has been submitted to the excellent journal
Representation Theory. My impression is that the lengthy paper (around 90 pages, I
believe) has been refereed and commented upon -- I'm not sure if it's officially accepted
yet, but the referee report was positive. My hope is that Scott can make the requested
changes in a timely manner (he may have already made them over the past two weeks) to
get this paper in print.
Scott has also conducted some fascinating research on Vogan duality for some nonalgebraic
covers of real reductive groups. Even in the relatively simple case of a
quasisplit unitary group SU(2,1), there are interesting covers. This version of Vogan
duality is quite mysterious to me still, and I look forward to discussing it more with him.
Especially, I hope I can provide some guidance as he writes up and attempts to publish
these new results.
Please don't hesitate to write if you have further questions. Thank you again for your
support of Scott Crofts as a postdoctoral fellow.
best,
Marty Weissman
UC Santa Cruz