Nils Dencker

Nils Dencker (* 1953 in Lund ) is a Swedish mathematician who deals with partial differential equations.

Dencker his doctorate in 1981 from the University of Lund Lars Hörmander. As a post-doc, he was from 1981 to 1983 Moore Instructor at Massachusetts Institute of Technology and was then a professor at the University of Lund.

He is chairman of the Swedish Mathematical Society (2008). In 2003 he received the Gaarding price.

In 2005 he was awarded the Clay Research Award for his complete solution of a conjecture of Francois Treves and Louis Nirenberg of the year 1970, the ( condition called " " ) is a necessary and sufficient condition of geometric nature provides that a pseudo- differential operator from the main type is locally solvable. The necessity of the condition was already by R. Moyer (1978) and Hörmander (1981 ) proved. The proof of Dencker also provides an explanation for the then surprising discovery of Hans Lewy (example of Lewy, 1957) of a linear partial differential operator is not locally solvable in the sense of the above conjecture.

Dencker also examined the spread of vector singularities of partial differential equations ( with applications for example in the birefringence of polarized light).

In 2008, he was an Invited Speaker at the European Congress of Mathematicians in Amsterdam (The solvability of differential equations ). In 2010 he was invited speaker at the International Congress of Mathematicians in Hyderabad (The solvability of differential equations ). He is a Fellow of the American Mathematical Society.