Publications
1.
On the Number of Square Classes of a Field of Finite Level.
Documenta Mathematica, Extra Volume, Quadratic Forms LSU (2001): 65-84.
2.
Le Radical de Kaplansky.
Publications Mathématiques de Besançon (2002), 27 p.
(
dvi ,
ps ,
pdf)
3.
Milnor K-Groups and Finite Field Extensions.
K-theory 27 (2002): 245-252.
4.
Supreme Pfister Forms. Communications in Algebra, 32 (2004): 217-241; (prel. version:
LAG Preprint 122).
5.
Symbol Lengths in Milnor K-Theory
(jointly with
Detlev Hoffmann).
Homology, Homotopy and Applications 6 (2004): 17-31.
6.
Algèbres simples centrales à involution de première espèce.
Bull. Belg. Math. Soc. Simon Stevin 11 (2004): 603-615.
7.
Minimal weakly isotropic forms.
Mathematische Zeitschrift 252 (2006): 91-102.
8.
On fields of u-invariant 4.
Archiv der Mathematik 86 (2006): 31-35.
9.
Totally positive extensions and weakly isotropic forms.
Manuscripta Mathematica 120 (2006): 83-90.
10.
On isotropy of quadratic spaces in finite and infinite dimension (jointly with
Detlev Hoffmann).
Documenta Mathematica 12 (2007): 473-504.
11.
Decomposability for division algebras of exponent two and associated forms.
Mathematische Zeitschrift 258 (2008): 691-709.
12.
A proof of the Pfister Factor Conjecture.
Inventiones Mathematicae, 173 (2008): 1-6.
13.
Sums of suqares in function fields of hyperelliptic curves (jointly with
Jan Van Geel).
Mathematische Zeitschrift 261 (2009): 829-844.
14.
The orthogonal u-invariant of a quaternion algebra (jointly with
Mohammad G. Mahmoudi).
Bull. Belg. Math. Soc. Simon Stevin (2010): 181-192.
15.
Virtual Forms.
Mathematische Zeitschrift (to appear), Online First.
16.
On the u-invariant of a real function field.
Mathematische Annalen 346 (2010): 245-249.
17.
Pythagoras numbers and quadratic field extensions (jointly with
David B. Leep).
Proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms 2007, Lago Llanquihue (Chile). Contemporary Mathematics.
To obtain reprints please send me an email.
Preliminary versions of the articles 3 and 5-15 are available on the
LAG preprint server.
