Gerd Grubb

Professor, dr.phil. et h.c.

Department of Mathematical Sciences
University of Copenhagen
Universitetsparken 5
DK-2100 København Ø
Denmark

Phone: (+45) 35320743
Fax:     (+45) 35320704
E-mail:
grubb@math.ku.dk

Home address: Duevej 26, 6. sal, 2000 Frederiksberg, Denmark.

Current research areas:

Pseudodifferential calculi, for manifolds with boundary and with spectral parameters. Geometric analysis. Asymptotic trace expansions of parameter-dependent operators, the geometric interpretation of the coefficients. The logarithmic and nonlocal terms. The noncommutative residue and the canonical trace. The zeta coefficients. Spectral boundary conditions in Brane theory. Applications of pseudodifferential methods to Navier-Stokes problems. Extension theory and boundary problems for elliptic operators.

Recent publications and preprints. (link temporarily removed, go instead to) publications.htm

  publist.pdf  publist.ps

Pictures (by Peter Gilkey) from the meeting “Spectral Theory and Partial Differential Equations” November 19-21 2008: nov08

Teaching:

Basic courses in Mathematical Analysis. Basic and advanced courses in Ordinary and Partial Differential Equations, Functional Analysis, Pseudodifferential Operators. Calculus of Variations and Optimal Control Theory. Wavelets

 

Advanced courses:

Fall 1999: Applications of the Fourier transform. (Based on X. Saint Raymond: Elementary introduction to the theory of pseudodifferential operators.)

Spring 2000: Solution of PDE. (Same book.)

Fall 2000: Introduction to Partial Differential Equations. (Based on L. C. Evans: Partial Differential Equations, AMS 1999.) Kursushjemmeside

Spring 2001: 1) Distribution Theory. 2) Continuation of PDE course . Hjemmeside for evolutionskursus

Fall 2001: 1) Mat 3GT. Hjemmeside for Mat 3GT 2) Wavelets. Hjemmeside for Wavelets 3) Seminar: Analysis on manifolds. Hjemmeside for Manifolds

 Fall 2002: Grundkursus i partielle differentialligninger Hjemmeside for PDL02

Spring 2003: Modern Analysis - Distributions and Operators. Hjemmeside for distributionskursus.

 Fall 2003/ Spring 2004: Reel analyse og lineær algebra, Mat H1 (Copenhagen Business School). Hjemmeside for Mat H1 efterår 03

Fall 2004: Reel analyse og lineær algebra, Mat H1 (Copenhagen Business School). Hjemmeside for Mat H1 efterår 04  

Spring 2005: PDL - Elliptiske problemer Hjemmeside:pdlep Lectures in Noncommutative Geometry Seminar ncg05.pdf

Fall 2005: SDL - Sædvanlige Differential Ligninger  http://www.math.ku.dk/kurser/2005-06/blok1/sdl/

Spring 2006: ModAn - Distributions and Operators.  Hjemmeside.

Fall 2006: Introduktion til PDL 

Hjemmeside for  PDL06

Spring 2007: ModAn – Distributioner og Operatorer, Blok 3. ModAn2 – Anvendelser af Distributionsteori, Blok 4

Fall 2007: Ordinary Differential Equations, SDL.

Spring 2008: Applied Analysis - Parabolic Differential Equations, Anvendt Analyse – Parabolske Differentialligninger.

Fall 2008: Introduction to PDE, Introduktion til PDL, consultant, lectures given by Uuye Otgonbar.

Simons professor at MSRI September 2008, lectures Intro to Index Theory , New Residue Definitions

Spring 2009: ModAn – Distributions and Operators. Uses a book with this name, Graduate Texts in Mathematics 252, Springer-Verlag, New York 2009.

Lecture at Banach Center Bedlewo May 2009 Resolvents on nonsmooth domains

Fall 2009: Ordinary Differential Equations SDL09  sdl09.htm

CV

 

  

 

 

 

Latest update: October 3, 2008

grubb@math.ku.dk