Department of Mathematics , University of Georgia, Athens Georgia
My research interest is the topology of singularities, with applications to algebraic geometry and differential geometry. Since the early 1990s I have worked with Adam Parusiński (University of Nice) on invariants of real algebraic varieties and semialgebraic sets. In spring 2004 I was a member of the Mathematical Sciences Research Institute in Berkeley, where I participated in the program Topological Aspects of Real Algebraic Geometry. In the fall of 2005 I visited the Institut Henri Poincaré in Paris, and I taught a course "Invariants and singularities of real algebraic varieties" as part of the Special Trimester on Real Geometry at the Centre Emille Borel. In June 2006 my 60th birthday conference was held at the University of Angers. In 2009 I became Professor Emeritus at UGA. In July 2016 I celebrated my 70th birthday at the University of São Paolo in São Carlos, Brazil.
Courses I've enjoyed teaching over the years include graduate topology, math for liberal arts majors, and geometry for future high school teachers.
I have been involved with the Center for Proficiency in Teaching Mathematics in the UGA Department of Mathematics and Science Education. The CPTM was an NSF funded project at UGA and the University of Michigan. I participated in the Center's first summer institute in June 2003. In August 2005 and spring 2006 I organized several workshops in Athens and Atlanta by Tom Banchoff on his Multivariable Calculus Project.
For six years I was the director of the department's National Science Foundation VIGRE [Vertical InteGration of Research and Education] program (2001-2007). We were one of a handful of mathematics departments to be awarded a second VIGRE grant (2008-2015).