**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:**

William Karr (Ph.D. 2017)

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:**

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 a 2016 talk on Convex Functions and Comparison Geometry in Spacetimes.**

**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.**