CARLO MORPURGO
 
 

Born:          March 6, 1961 (Rimini - Italy)

Experience:
                     Associate professor Università di Milano-Bicocca    2002

                    Associate Professor University of Missouri, Columbia 2002

                    Assistant professor University of Missouri, Columbia  2000

                     Assistant Research Professor,Università di Milano-Bicocca    1997

                     R. H. Bing Instructor, University of Texas at Austin   1995

                     Postdoctoral Fellow, Università di Milano, Italy         1994
 
 

Education: Ph.D. Mathematics, Washington University,St. Louis   1993

                  B.S. Mathematics, Università di Milano, Italy               1986

                  Summer School in Mathematics, Perugia, Italy               1986

                  High-School Diploma in Computer Science,
                  Technical Institute "Feltrinelli", Milano, Italy              1981

Grants:  NSF summer and travel grant                                                 2002-2005

              Research and Summer grants, University of Missouri, Columbia 2001-2002

              NSF summer and travel grant                                                   1996-1999

               R.H. Bing Fellowship, University of Texas at Austin                  1995-1998

               Italian National Board of Research Fellowship (C.N.R. Italy)    1987-1990

               Rotary Club Fellowship                                                            1987-1988

               Italian National Board of Research Dissertation Fellowship         1985-1986
 
 

Publications: 1. The Hardy-Littlewood-Sobolev inequality and extremals of zeta functions on S ⁿ,
                          Geom. and Funct. Anal. (GAFA) 6 (1996), 146-171.

                      2. Conformal perturbation of heat kernels and their traces, J. Funct. Anal. 141 (1996),
                          319-334.

                      3. Local extrema of traces of heat kernels on S ², J. Funct. Anal. 141 (1996), 335-364.

                      4. Zeta functions on S ², Contemporary Mathematics, 201, American Mathematical
                          Society, Providence, RI, 1997.

                      5. (with R.S. Laugesen) Extremals of eigenvalues of the Laplacian under conformal
                         mapping, J. Funct. Anal., 155 (1998), 64-108.

                      6. (with L. Grafakos) A Selberg integral formula with applications,  Pacific J. of Math.,
                          191 (1999), 85-94.

                      7. (with E. Laeng) An uncertainty inequality involving L ¹  norms, Proc. Amer.
                          Math. Soc., 127 (1999), 3565-3572.

                      8. Sharp trace inequalities for intertwining operators on S ⁿ and R ⁿ, Internat. Math. Res.
                          Notices, 20 (1999), 1101-1118.

                     9. Conformally invariant Sobolev inequalities and the spectrum of intertwining operators,
                         Duke Math. J., 114 (2002), 477-554.

                    10. Extremals of some uncertainty inequalities, Bull. London Math. Soc., 33 (2001), no. 1, 52--58.
 
 
 

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