**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

Fellow of the American Mathematical Society 2014

Prokasy Award for Distinguished Teaching, 1993

Luckman Undergraduate Distinguished Teaching Award, 1993

**
Here****
is the first part of our book on Alexandrov Geometry with V. Kapovitch & A. Petrunin.
**

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

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