Anthony Tromba

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Anthony Joseph Tromba (born August 10, 1943 in Brooklyn , New York City ) is an American mathematician who studies partial differential equations , differential geometry and the calculus of variations.

Tromba studied at Cornell University with a bachelor's degree in 1965 and at Princeton University with a master's degree in 1967 and a doctorate in 1968 with Stephen Smale ( Degree theory on Banach manifolds ). In 1968 he became an Assistant Professor at Stanford University and an Associate Professor in 1970 and Professor at the University of California, Santa Cruz in 1977 .

In 1975 he was at the Institute for Advanced Study and in 1970 visiting professor at the University of Pisa and in 1974 at the University of Bonn and SUNY .

He deals with the application of nonlinear global analysis to partial differential equations, with minimal surfaces, Morse theory and differential geometric description of Teichmüller spaces Riemann surfaces with applications on minimal surfaces and in physics.

Fonts

  • Teichmüller theory in Riemannian Geometry , Birkhäuser 1992
  • with L. Andersson, V. Moncrief: On the global evolution problem in 2 + 1 gravity , J. Geometry and Physics, Volume 23, 1997, pp. 191-205
  • On a natural affine connector on the space of almost complex structures and the curvature of Teichmüller space with respect to its Weil-Petersson metric , Manuscripta Mathematica, Volume 56, 1996, pp. 475-497.
  • On the number of simply connected minimal surfaces spanning a curve , Memoirs AMS, No. 194, 1977
  • A general approach to Morse theory , J. Differential Geometry, Volume 12, 1977, pp. 47-85
  • with Friedrich Tomi Existence theorems for minimal surfaces of non-zero genus spanning a contour , Memoirs AMS, No. 382, ​​1988
  • with F. Tomi The index theorem for minimal surfaces of higher genus , Memoirs AMS, No. 560, 1995
  • with Stefan Hildebrandt : Mathematics and optimal form. Scientific American Books, New York NY 1985, ISBN 0-7167-5009-0 (In French: Mathématiques et formes optimales. L'explication des structures naturelles. Pour la Science, Paris 1986, ISBN 2-902918-49-6 ; in German: Panoptimum, Mathematical Basic Patterns of Perfection (= Spectrum Library. Vol. 12). Spectrum of Science, Heidelberg 1987, ISBN 3-922508-82-0 ).
  • with Ulrich Dierkes , Stefan Hildebrandt: Global analysis of minimal surfaces , Springer Verlag 2010
  • with Ulrich Dierkes, Stefan Hildebrandt: Regularity of Minimal Surfaces , Springer 2010
  • with Kenneth McAloon Calculus , Harcourt, Brace, Jovanovich 1972 (with participation of Jerrold Marsden and others)
  • with McAloon Calculus of one variable , Harcourt, Brace, Jovanovich 1972 (with participation of Marsden et al.)
  • with Jerrold Marsden Vector Calculus , Freeman, San Francisco, 5th edition 2003 (with participation by Michael Hoffman, Joanne Seitz)
  • with Jerrold Marsden, Alan Weinstein Basis multivariable calculus , Freeman 2000
  • Theory of Branched Minimal Surfaces , Springer Verlag 2012

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Tromba, Anthony
ALTERNATIVE NAMES Tromba, Anthony Joseph (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 10, 1943
PLACE OF BIRTH Brooklyn , New York