R. Michael Range

Ph. D. 1971, University of California, Los Angeles; Diplom 1968, University of Göttingen, Germany

ACADEMIC POSITIONS:

J.W. Gibbs Instructor, Yale University (1971 - 73)
University at Albany (1973 - ), Professor at Albany since 1983, Chair of the Department 1992 - 1994.
Visiting Assistant Professor, University of Washington (1975/76)

RESEARCH POSITIONS:

University of Bonn (1980)
Max Planck Institut für Mathematik, Bonn (1984, 1986)
Mittag-Leffler Institute, Stockholm (1988)
Universitad Autonoma de Barcelona (1989)
Mathematical Sciences Research Institute, Berkeley (1996)

RESEARCH INTERESTS

Multidimensional complex analysis, integral representations, boundary regularity of the Cauchy-Riemann equations, spaces of holomorphic functions in several variables, function algebras

AWARDS and RECOGNITIONS

2004 The Lester R. Ford Award of the Mathematical Association of America, in recognition of the publication of a noteworthy expository article in the American Mathematical Monthly
2001 Distinguished Lecturer, Frontiers in Mathematics Lecture Series, 3 lectures, Texas A&M University
2001 Invited Lecturer at the Memorial Conference of Kiyoshi Oka's Centennial Birthday, Kyoto, Japan
1994 Project Director for NSF/CBMS Regional Conference "Complex Dynamics in Higher Dimensions", held in Albany, New York
1985 Project Director for "International Conference on Partial Differential Equations in Complex Analysis" in Albany, NY, supported by the Nat. Science Foundation
1968-71 Chancellor's Teaching Fellowship, UCLA
1965-66 Fulbright Exchange Fellow, Germany - UCLA

OTHER ACADEMIC INTERESTS

Calculus curriculum, use of MAPLE in instruction

SELECTED RECENT INVITED LECTURES

Colloquium Lecture, University of Ghana, Legon (Accra), April 2007

Oka Centennial Conference, Kyoto, Japan, October 2001

Special Session on Complex Analysis, Joint Meeting AMS and SMM, Morelia, Mexico, May 2001

Frontiers in Mathematics Lecturer, 3 lectures, Texas A&M University, April 2001

Seminar Lecture, Univ. of Bologna, Italy, June 2000

Special Session on Several Complex Variables, AMS Annual Meeting, San Antonio, 1999

Mathematical Sciences Research Institute (MSRI), Berkeley, 1996

International Conference "Operator Theory for Complex and Hypercomplex Analysis", Mexico City, 1994

Colloquium Lecture, University of Notre Dame, 1994

Colloquium Lecture, University of Maryland, 1992

International Conference "Complex Analysis and Geometry", Trento, Italy, 1991

Seminar Lecture, Harvard University, 1990

Seminar Lecture, Princeton University, 1989

International Conference "Geometry and Complex Variables in Bologna", in celebration of the 9th centenary of the University of Bologna, Italy, 1989

Ph.D. STUDENTS

J. Solowiej, 1999 Ph.D.: "Hoelder Estimates for the Solutions of the Cauchy-Riemann Equations on Convex Domains of Finite Type", Financial Analyst, London
J. Fleron, 1994 Ph.D.: "Hölder Estimates for the Cauchy-Riemann Equations near Weakly Pseudoconcave Boundaries", Professor, Westfield State College, Massachusetts
K. Burke, 1991 Ph.D.: "Duality in the Bergman Spaces on some Weakly Pseudoconvex Domains", Associate Professor, Northeast Louisiana University
A. Cupillari, 1984 Ph.D.: "Inner Functions and Boundaries for H^infinity on Strictly Pseudoconvex Domains", Associate Professor, Univ. of Pennsylvania at Erie
J. Ryczaj, 1981 Ph.D.: "C^k Estimates for the Cauchy-Riemann Equations on Certain Weakly Pseudoconvex Domains", Associate Professor, Wroclaw Technical University, Poland

PUBLICATIONS

BOOKS:

Calculus in One and in Several Variables, 513 pp + viii, Albany, NY 2006 (Under Review)

Holomorphic Functions and Integral Representations in Several Complex Variables, Springer-Verlag, New York 1986. 2nd corrected printing 1998.

SELECTED RECENT ARTICLES:

On Antiderivatives of the Zero Function. Mathematics Magazine 80 (2007), 387 - 390
Kneser's paper on the boundary values of analytic functions of two variables. In: Hellmuth Kneser, Gesammelte Abhandlungen, 872 - 876, ed. G. Betsch and K. H. Hofman, deGruyter, Berlin 2005
On the Decomposition of Holomorphic Functions by Integrals and the Local CR Extension Theorem. Adv. Studies in Pure Math. 42 (2004), Math. Soc. Japan, 269 - 273.
Complex Analysis: A Brief Tour into Higher Dimensions, Amer. Math. Monthly 110 (2003), 89 - 108.
Extension Phenomena in Multidimensional Complex Analysis: Correction of the Historical Record. The Mathematical Intelligencer 24, no 2 (2002), 4 - 12
On d-bar Problems on (Pseudo) - Convex Domains. Topics in Complex Analysis, Banach Center Publ. 31, 311 - 320, Polish Acad. of Sci., Warszawa 1995
Integral Kernels and Hölder Estimates for d-bar on pseudoconvex domains of finite type in C^2. Math. Ann. 288 (1990), 63 - 74
Cauchy-Fantappie Formulas in Multidimensional Complex Analysis. Proc. Int. Conf. "Geometry and Complex Analysis", Bologna 1989, Lect. Notes in Pure and Appl. Math 132, 307 - 32, Marcel Dekker, New York 1991
Integral Representations and Estimates in the Theory of the d-bar Neumann Problem. (with I. Lieb) Ann. of Math. 123 (1986), 265 - 301