Nils Dencker

Room: 507
Tel: +46-46-222 44 62
Fax: +46-46-222 42 13

Email:

Research

A paper resolves the Nirenberg-Treves conjecture: that condition ($\Psi$) is sufficient for local solvability for operators of principal type (Ann. of Math. 163 (2006), no. 2, 405-444).

Joint paper with Johannes Sjöstrand and Maciej Zworski about the pseudo-spectra of semi-classical operators (Comm. Pure Appl. Math. 57 (2004), 384-415).

A preprint that studies pseudospectrum for systems of semiclassical operators (Anal. PDE 1 (2008), 323-373).

Another preprint that generalizes the Nirenberg-Treves conjecture to quadratic systems of principal type having constant characteristics (corrected version February 25, 2010). To appear in "Geometric Aspects of Analysis and Mechanics", In Honor of Hans Duistermaat's 65th Birthday.

Latest preprint that proves solvability and subellipticity results of quasi-symmetrizable systems. In "Advances in Phase Space Analysis of Partial Differential Equations", In Honor of Ferruccio Colombini's 60th Birthday.

Current Teaching

Linear Analysis

Workshop

"Spectral Instability and Microlocal Analysis", June 15-17 2010

Other

Member of the Royal Swedish Academy of Sciences

Member of the Royal Physiographic Society in Lund

Former President of the Swedish Mathematical Society

President of the Lund Mathematical Society

Short CV