Christopher Sogge

Christopher Donald Sogge (born July 14, 1960 ) is an American mathematician.

Sogge studied at the University of Chicago with a bachelor's degree in 1982 and received his doctorate in 1985 with Elias Stein at Princeton University (Oscillatory integrals and spherical harmonics). From 1985 to 1987 he was a Dickson Instructor at the University of Chicago and then Assistant Professor. In 1989 he became an Associate Professor and in 1993 Professor at the University of California, Los Angeles , and since 1996 he has been a professor at Johns Hopkins University , where he became JJ Sylvester Professor in 2009 and headed the Mathematics Faculty from 2002 to 2005.

In 2005 he was Simons visiting professor at MSRI , 2010 to 2013 visiting professor at Zheijang University, 2003 Ordway visiting scholar at the University of Minnesota and 1987 at IHES .

Sogge deals with harmonic analysis and partial differential equations (such as Schrödinger equations, wave equations, Laplace operator on Riemannian manifolds).

He has been the editor of the American Journal of Mathematics since 2005 . He has been a Fellow of the American Mathematical Society since 2012 . In 1988 he received the Presidential Young Investigator Award and was a Sloan Research Fellow . In 2012/13 he was a Simons Fellow and in 2005 a Guggenheim Fellow. In 1994 he was invited to speak at the International Congress of Mathematicians in Zurich (Smoothing estimates for the wave equation with applications).

Daniel Grieser is one of his doctoral students .

Fonts (selection)

• Fourier integrals in classical analysis, Cambridge Tracts in Mathematics 105, Cambridge University Press, 1993
• Lectures on non-linear wave equations, International Press, 1995, 2nd edition 2008
• Hangzhou lectures on eigenfunctions of the Laplacian, Annals of Math. Studies 188, Princeton University Press, 2014
• with E. Stein: Averages of functions over hypersurfaces in , Inventiones Mathematicae, Volume 82, 1985, pp. 543-556, Part 2, Volume 86, 1986, pp. 233-242 ${\displaystyle R^{n}}$
• Oscillatory integrals and spherical harmonics, Duke Math. J., Volume 53, 1986, pp. 43-65
• with Carlos Kenig , Alberto Ruiz: Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators, Duke Math. J., Volume 55, 1987, pp. 329-347
• On the convergence of Riesz means on compact manifolds, Annals of Mathematics, Volume 126, 1987, pp. 439-447
• Concerning the Lp norm of spectral clusters for second-order elliptic operators on compact manifolds, J. Functional Analysis, Volume 77, 1988, pp. 123-138
• Propagation of singularities and maximal functions in the plane, Invent. Math., Vol. 104, 1991, pp. 349-376
• with JL Journé, Avy Soffer : Decay estimates of Schrödinger Operators, Communications on Pure and Applied mathematics, Volume 44, 1991, pp. 573-604
• with A. Seeger, E. Stein: Regularity properties of Fourier Integral Operators, Ann. Math., Vol. 134, 1991, pp. 231-251
• with Hans Lindblad : On existence and scattering with minimal regularity for semilinear wave equations, J. Functional Analysis, Volume 130, 1995, pp. 357-426
• with Vladimir Georgiev, Hans Lindblad: Weighted Strichartz estimates and global existence for semilinear wave equations, Am. J. Math., Vol. 119, 1997, pp. 1291-1319
• with M. Keel, H. Smith: On global existence of nonlinear wave equations outside of convex obstacles, Am. J. Math., Vol. 122, 2000, pp. 805-842
• with S. Zelditch: Riemannian manifolds with maximal eigenfunction growth, Duke Math. J., Volume 114, 2002, pp. 387-437

Web links

• Homepage (with CV)

Individual evidence

1. ↑ Christopher Sogge in the Mathematics Genealogy Project (English)