Publications
- 24. Sums of squares in algebraic function fields over a complete discrete valued field (jointly with David Grimm and Jan Van Geel), Preprint 2012, 12p.
- 23. Semiorderings and stability index under field extensions (jointly with David B. Leep and Claus Schubert), Preprint 2012, 16p.
- 22. On the second K-group of a rational function field (jointly with Mélanie Raczek), Preprint 2012, 8p.
- 21. Real fields, valuations, and quadratic forms (jointly with David B. Leep), Preprint 2011, 18p.
- 20. Symbol length and stability index (jointly with Paweł Gładki), Journal of Algebra 354 (2012): 71-76.
- 19. The Elman-Lam-Krüskemper Theorem (jointly with David B. Leep), ISRN Algebra, Volume 2011 (2011), 8 p.
- 18. The length and other invariants of a real field (jointly with David B. Leep). Mathematische Zeitschrift 269 (2011): 235-252.
- 17. Virtual forms. Mathematische Zeitschrift 265 (2010): 551-569.
- 16. On the u-invariant of a real function field. Mathematische Annalen 346 (2010): 245-249.
- 15. The orthogonal u-invariant of a quaternion algebra (jointly with Mohammad G. Mahmoudi). Bull. Belg. Math. Soc. Simon Stevin (2010): 181-192.
- 14. 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 493 (2009).
- 13. Sums of suqares in function fields of hyperelliptic curves (jointly with Jan Van Geel). Mathematische Zeitschrift 261 (2009): 829-844.
- 12. A proof of the Pfister Factor Conjecture. Inventiones Mathematicae, 173 (2008): 1-6.
- 11. Decomposability for division algebras of exponent two and associated forms. Mathematische Zeitschrift 258 (2008): 691-709.
- 10. On isotropy of quadratic spaces in finite and infinite dimension (jointly with Detlev Hoffmann). Documenta Mathematica 12 (2007): 473-504.
- 9. Totally positive extensions and weakly isotropic forms. Manuscripta Mathematica 120 (2006): 83-90.
- 8. On fields of u-invariant 4. Archiv der Mathematik 86 (2006): 31-35.
- 7. Minimal weakly isotropic forms. Mathematische Zeitschrift 252 (2006): 91-102.
- 6. Algèbres simples centrales à involution de première espèce. Bull. Belg. Math. Soc. Simon Stevin 11 (2004): 603-615.
- 5. Symbol Lengths in Milnor K-Theory
(jointly with Detlev Hoffmann).
Homology, Homotopy and Applications 6 (2004): 17-31.
- 4. Supreme Pfister Forms. Communications in Algebra, 32 (2004): 217-241; (prel. version: LAG Preprint 122).
- 3. Milnor K-Groups and Finite Field Extensions.
K-theory 27 (2002): 245-252.
- 2. Le Radical de Kaplansky.
Publications Mathématiques de Besançon (2002), 27 p.
(dvi , ps , pdf)
- 1. On the Number of Square Classes of a Field of Finite Level.
Documenta Mathematica, Extra Volume, Quadratic Forms LSU (2001): 65-84.
To obtain reprints please send me an email.
Preliminary versions of the articles 3 and 5-15 are available on the LAG preprint server.