**Office: 13
Illini Hall**
**Phone: (217) 300-0692**
**FAX: (217) 333-9576**
**e-mail: sba@illinois.edu**

**Research:**

I work in metric geometry and Alexandrov spaces of curvature bounded either above or below; Riemannian geometry; Lorentz geometry. My current focus is on our book Alexandrov Geometry (see below); and on Alexandrov-meets-Lorentz.

**PhD Students:**

Chanyoung Jun (Ph.D. 2012)

Jeremy Wong (Ph.D. 2006)

Chaiwat Maneesawarng (Ph.D. 1999)

Anton Petrunin (Ph.D. 1995)

Robert Currier (Ph.D. 1984)

Nadine Menninga (Ph.D. 1984)

William Taber (Ph.D. 1980)

**Current PhD Students:**

Bill Karr

Scott Tichenor

Kuo-Tsai Chen Award for Distinguished Mathematical Research, 2004-2006

Fellow of the American Mathematical Society

Prokasy Award for Distinguished Teaching, 1993

Luckman Undergraduate Distinguished Teaching Award, 1993

Outstanding Teacher of Freshmen, Alpha Lambda Delta,
1986

**Here****
is the latest draft of our book Alexandrov Geometry **
(with
Vitali Kapovitch and Anton Petrunin). The table of contents shows all chapters we are currently working on, but the file includes only the following chapters:

**Here****
are reference board notes for a minicourse in Alexandrov Geometry.**

**Illinois Geometry Lab undergrad research projects:
Fall 2013.
Spring 2013.**

**Here****
is a picture of our prairie restoration.**