Stephen Semmes

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Stephen William Semmes (born May 26, 1962 in Savannah , Georgia ) is an American mathematician who specializes in analysis .

Stephen Semmes graduated from Armstrong State College with a bachelor's degree in 1980 and received his doctorate in 1983 from Washington University under Richard Rochberg (dissertation: The Cauchy Integral and Related Operators on Smooth Curves ). He was a postdoctoral fellow at the Mittag-Leffler Institute in 1982/83 and at Yale University from 1983 to 1987 . From 1987 he was a professor at Rice University , where he has been Noah Harding Professor of Mathematics since 1997 .

In 1987 he was a Sloan Research Fellow . In 1994 he was invited to speak at the International Congress of Mathematicians in Zurich ( Finding structure in sets with little smoothness ). In 1994/95 he spent a sabbatical year at IHES near Paris and again in 1996 as a Sackler Fellow.

Semmes deals with harmonic analysis , function theory, partial differential equations, analysis on different metric spaces (such as fractals) and differential geometry.

Fonts

  • Some novel types of fractal geometry, Oxford: Clarendon Press 2002
  • with Guy David : Analysis of and on uniformly rectifiable sets, Mathematical Surveys and Monographs 38. American Mathematical Society, Providence, RI, 1993.
  • with Guy David: Uniform rectifiability and quasiminimizing sets of arbitrary codimension, Memoirs AMS 2000
  • with Guy David: Singular integrals and rectifiable sets in Rn: au-delà des graphes lipschitziens, Astérisque 193, 1991
  • with Guy David: Fractured fractals and broken dreams. Self-similar geometry through metric and measure, Oxford Lecture Series in Mathematics and its Applications 7, Clarendon Press, Oxford 1997
  • with Guy David, JL Journé: Opérateurs de Calderon-Zygmund, fonctions para-accrétives et interpolation , Rev. Mat. Iberoamericana, Volume 1, 1985, pp. 1-56
  • Appendix B: Metric spaces and mappings seen at many scales, in: Michail Leonidowitsch Gromow : Metric Structures for Riemannian and Non-Riemannian Spaces, Birkhäuser 1999, pp. 401-518
  • A generalization of Riemann mappings and geometric structures on a space of domains in , Memoirs AMS 1992
  • with Ronald Coifman , Pierre-Louis Lions , Yves Meyer : Compensated compactness and Hardy spaces, J. Math. Pures Appl., Volume 72, 1993, pp. 247-286.
  • Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities, Selecta Math. (NS), Volume 2, 1996, pp. 155-295.
  • An introduction to Heisenberg groups in analysis and geometry, Notices AMS, Volume 50, June / July 2003, pdf
  • An introduction to analysis on metric spaces, Notices Amer. Math. Soc., Volume 50, April 2003, pdf
  • Some basic aspects of analysis on metric and ultrametric spaces, 2013, Arxiv

Individual evidence

  1. ↑ Birth and career data according to American Men and Women of Science , Thomson Gale 2004
  2. ↑ Stephen Semmes in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Semmes, Stephen
ALTERNATIVE NAMES Semmes, Stephen William (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH May 26, 1962
PLACE OF BIRTH Savannah , Georgia