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En suédois |
Mailing address Department of Mathematics Chalmers University of Technology SE-412 96 Gothenburg, Sweden |
To find me Room 1244 Matematics center Eklandagatan 86 |
To reach me Telephone: +46-31-772 3560 Telefax: +46-31-16 19 73 email: laura@math.chalmers.se |
I work as Assistant Professor at the Mathematics department of Chalmers University of Technology and Göteborg University
LAU150, Communication and scientific approach from an
interdisciplinary perspective
Teacher training program
Fall 2002
MAL200,
MAL400,
Mathematics education, Fall 2001
Progress in Mathematics Fall 2000,
Spring 2001 . A continuing education course
for math teachers.
Calculus in several variables Spring 2001
Galois theory Fall 97, Fall 99.
Homological Algebra Winter 98-99.
Mathematics for the natural sciences, Fall 99.
Publications :
Non unimodular hermitian forms,
Eva Bayer-Fluckiger, Laura Fainsilber
(Math reviews)[Inventiones mathematicae, volume 123, 233--240 (1996)]
An injectivity result for Hermitian forms over local orders,
Laura Fainsilber, Jorge Morales
(Gzipped PS)
[Illinois Journal of Mathematics, volume 43, Number 2, Summer 1999]
Translations
Jean Dieudonné, Treatise on Analysis, volume VII, Academic
Press, 1988
Jean Dieudonné, Treatise on Analysis, volume VIII, Academic
Press, 1993
A presentation of p-adic numbers (in Swedish) :
Vad är avstånd? (dvi-fil)
(ps-fil) (pdf-fil)
and its illustration :
a 3-adic tree
(larger than the one here on the right!).
Recent talks for a general public : Västra Sveriges språklärarförening, 2 mars 2002, Everything you always wanted to know about La Villette but never dared to ask: The construction of the "Cité des Sciences et de l'Industrie" in Paris... and the mathematics of symmetry. Alliance Francaise, "Impossible n'est pas francais?" (in French): On some impossibility proofs in mathematics. From squaring the circle to Fermat's last theorem, these are mathematical problems that people think about, not computers. Vetenskapsfestival 2000, "How far is it between 3 and 5?" (in Swedish) I live in Gothenburg and feel close to Anne, who lives in Paris. What do we mean when we say "close" or "far"? In mathmatics, we usually use the "real" distance |x-y|, but there are others, which are called "p-adic" and measure the common factors two numbers have. We don't measure p-adic distances in feet or miles, or even meters; they are more like the distance between people on a family tree, where brothers and sisters are close to each other and cousins are further away. KTH, matematik 2000 "Number Theory meets gas kinetics" (in Swedish), What's the relation between prime numbers that can be written as sums of two squares of integers and the velocity of gasmolecules in rarefied gases? Which circles contain points with integer coordinates? How many such points do large circles contain? How are the angles distributed? These are questions that come up in a computational model for the Boltzmann equation. We find some answers in Gauss', Fermat's, Euler's and Jacobi's work and are still loking for others. I will describe the movement and collisions of gasmolecules, the Boltzmann equation, a discrete velocity model and the number theoretical problems we would like to solve.
Books and links on math for the general public (with comments in Swedish)