I am interested in the algebraic theory of quadratic forms, particularly in field invariants associated with quadratic forms (such as u-invariant, reduced stability, etc.).
Publications and Work in Progress
- (with K. Becher, D. Leep) Semiorderings and stability index under field extensions (2011) In progress
- (with D. Leep) A configuration of the transpositions in S2n (2011) Submitted
- (with M. Gfeller, C. Donohue) Using group explorer in teaching abstract algebra (2011) Submitted
- Weakly isotropic quadratic forms under field extensions, Mathematische Zeitschrift 269(1)(2011), 137-146.
The original publication is available at http://www.springerlink.com
Download a copy as .dvi or .pdf
- Going up of the u-invariant over formally real fields, Mathematische Annalen 338(3)(2007), 757-765.
The original publication is available at http://www.springerlink.com
Download a copy as .dvi or .pdf
- New u-invariants of Quadratic Forms and Function Fields of Good Forms of Height Two (2006) Ph.D. Thesis