Galia Dafni - Professional Information


Employment:

Concordia University : Associate Professor, 2005 - present;
Assistant Professor ( NSERC UFA), 2000 - 2005;
Research Assistant Professor, 1999 - 2000;
Postdoctoral Fellow, 1998 - 1999.

Northwestern University : Ralph Boas Assistant Professor of Mathematics, 1996 - 1998.

The University of California, Berkeley: Charles B. Morrey Jr. Assistant Professor of Mathematics, 1994 - 1996.

Princeton University : Instructor of Mathematics, 1993 - 1994.


Education:

Princeton University : Ph.D. in Mathematics, 1993. Advisor: Elias M. Stein.

Ph.D. Thesis: Hardy Spaces on Strongly Pseudoconvex Domains in C^n and Domains of Finite Type in C^2 (dvi file)

Princeton University : M.A. in Mathematics, 1990.

The Pennsylvania State University : B.Sc. in Mathematics and Computer Science,
with highest distinction and with honors in mathematics, 1988.

The University of Texas at Austin: 1985.


Research Interests:

Harmonic Analysis, Partial Differential Equations, Several Complex Variables


Publications:

Reviewed Publications (using MathSciNet)

A div-curl decomposition for the local Hardy space (joint with Der-Chen Chang and Hong Yue), (PDF file) ,
Proc. Amer. Math. Soc. 137 (2009), 3369-3377.

Nonhomogeneous div-curl decompositions for local Hardy spaces on a domain (joint with Der-Chen Chang and Hong Yue), (PDF file) , in ``Hilbert spaces of analytic function", Centre de recherches mathematiques, CRM Proceedings and Lecture Notes, Volume 51, Montreal, 2010.

An atomic decomposition of the Hajlasz Sobolev space $M^1_1$ on manifolds (joint with Nadine Badr), (PDF file), J. Funct.

 Anal. 259 (2010), pp. 1380-1420.

Maximal characterization of Hardy-Sobolev spaces on manifolds (joint with Nadine Badr), (PDF file) , to appear in "Concentration, Functional Inequalities, and Isoperimetry", edited by Christian Houdre, Michel Ledoux, Emanuel Milman, and Mario Milman, Contemporary Mathematics 545, American Mathematical Society, Providence, RI, 2011.