355 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Complex Analysis and CR Geometry
My research centers around complex analysis and CR Geometry.
I have worked on finite type conditions for real hypersurfaces, on Hermitian analogues of Hilbert's 17th problem, on proper holomorphic maps between balls in different dimensions, and groups associated with holomorphic mappings.
PhD, Mathematics, Princeton University, 1976
Awards and Honors
Stefan Bergman Prize. 1999
Kenneth D. Schmidt Professorial Scholar. 2005
LAS Dean's Award for Excellence in Undergraduate Teaching, Univ. of Illinois, 2005.
Fellow, Amer. Math Society. 2014
Several Complex Variables and the Geometry of Real Hypersurfaces. CRC Press, 1992.
Mathematical Thinking: Problem Solving and Proofs. Prentice-Hall, 2000. (joint with Douglas B. West)
Inequalities from Complex Analysis. Mathematics Assoc. of America, 2002.
An Introduction to Complex Analysis and Geometry. American Math. Society, 2010.
Hermitian Analysis: From Fourier series to Cauchy-Riemann Geometry. Springer, 2013.
Linear and Complex Analysis for Applications. CRC Press, 2017.
Rational Sphere Maps. Springer-Birkhauser, 2021.