Steve Hofmann

Steven Carl Hofmann (born January 20, 1958 ) is an American mathematician who deals with analysis . He is a professor at the University of Missouri .

Hofmann studied at Washington University with a bachelor's degree in 1981 and received his doctorate under Max Jodeit at the University of Minnesota in 1988 ( Weighted Weak-Type (1,1) Bounds for Singular Integrals with Non-Smooth Kernel ). He was a post-doctoral student at McMaster University and in 1990 he became an assistant professor at Wright State University , where he became an associate professor in 1993. In 1994 he became Associate Professor and in 1998 Professor at the University of Missouri at Columbus, where he is Curator's Professor .

In 2002, together with Pascal Auscher , Michael T. Lacey , Alan McIntosh and Philippe Tchamitchian, he solved the Kato root problem for elliptic differential operators that had been open since 1953 .

He was visiting professor at the Autonomous University of Madrid, the Picardy University in Amiens, the Paris-South University in Orsay, the Australian National University in Canberra, the University of Aix-Marseilles and visiting scholar at Macquarie University, the MSRI and the University of Edinburgh.

In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Local Tb Theorems and Applications in PDE ). He is a fellow of the American Mathematical Society .

Fonts (selection)

Except for the works cited above

with JL Lewis: Solvability and representation by caloric layer potentials in time-varying domains, Annals of Math., Volume 144, 1996, pp. 349-420. ${\ displaystyle L ^ {2}}$
with P. Auscher, JL Lewis, P. Tchamitchian: Extrapolation of Carleson measures and the analyticity of Kato's square root operators, Acta Math., Volume 187, 2001, pp. 161-190.
with A. McIntosh: The solution of the Kato problem in two dimensions, Proceedings of the Conference on Harmonic Analysis and PDE held in El Escorial, Spain in July 2000, Publ. Mat. Vol. extra, 2002, pp. 143-160
with M. Lacey and A. McIntosh: The solution of the Kato problem for divergence form elliptic operators with Gaussian heat kernel bounds, Annals of Mathematics, Volume 156, 2002, pp. 623-631
with P. Auscher, T. Coulhon, X. Duong: Riesz transform on manifolds and heat kernel regularity, Annales Scientifiques de L'ENS, Volume 37, 2004, pp. 911-957.
with JL Lewis, K. Nystrom: Caloric Measure in Parabolic Flat Domains, Duke Math. J., Volume 122, 2004, pp. 281-346.
with M. Mitrea, M. Taylor: Singular integrals and elliptic boundary problems on regular Semmes-Kenig-Toro domains, Int. Math. Research Notices 2010, pp. 2567-2865.
with M. Alfonseca, P. Auscher, A. Axelsson, S. Kim: Analyticity of layer potentials and Solvability of boundary value problems for divergence form elliptic equations with complex coefficients, Advances in Math., Volume 226, 2011, p. 4533– 4606 ${\ displaystyle L ^ {2}}$ ${\ displaystyle L ^ {\ infty}}$

Web links

Homepage

Individual evidence

↑ Steve Hofmann in the Mathematics Genealogy Project (English)
^ P. Auscher, S. Hofmann, M. Lacey, A. McIntosh, P. Tchamitchian: The solution of the Kato square root problem for second order elliptic operators on , Annals of Mathematics, Volume 156, 2002, pp. 633-654 ${\ displaystyle \ mathbb {R} ^ {n}}$

personal data
SURNAME	Hofmann, Steve
ALTERNATIVE NAMES	Hofmann, Steven Carl
BRIEF DESCRIPTION	American mathematician
DATE OF BIRTH	20th January 1958

[1] Steve Hofmann in the Mathematics Genealogy Project (English)

[2] P. Auscher, S. Hofmann, M. Lacey, A. McIntosh, P. Tchamitchian: The solution of the Kato square root problem for second order elliptic operators on , Annals of Mathematics, Volume 156, 2002, pp. 633-654 ${\ displaystyle \ mathbb {R} ^ {n}}$