Karim Johannes Becher

Available identifiers

zbMath Open becher.karim-johannesMaRDI QIDQ216831

List of research outcomes

Publication	Date of Publication	Type
Bounding the Pythagoras number of a field by \(2^n +1\)	2024-02-23	Paper
A bound on the index of exponent-4 algebras in terms of the \(u\)-invariant	2024-02-21	Paper
Fields with bounded Brauer 2-torsion index	2024-02-09	Paper
Nonsplit conics in the reduction of an arithmetic curve	2023-12-19	Paper
Uniform existential definitions of valuations in function fields in one variable	2023-11-10	Paper
A ruled residue theorem for function fields of elliptic curves	2023-10-26	Paper
A comparison of finiteness conditions in quadratic form theory	2023-03-11	Paper
The Pythagoras number of a rational function field in two variables	2023-02-22	Paper
Square-reflexive polynomials	2022-08-09	Paper
Strong linkage for function fields of surfaces	2022-05-19	Paper
Splitting quaternion algebras defined over a finite field extension	2022-03-15	Paper
A ruled residue theorem for function fields of conics	2021-03-03	Paper
Square-reflexive polynomials	2020-11-10	Paper
The discriminant Pfister form of an algebra with involution of capacity 4	2020-08-20	Paper
Biquaternion division algebras over rational function fields	2020-02-24	Paper
Transfer of quadratic forms and of quaternion algebras over quadratic field extensions	2018-08-10	Paper
Triple linkage	2018-07-30	Paper
Weakly hyperbolic involutions	2018-04-27	Paper
Involutions and stable subalgebras	2017-10-26	Paper
Ramification sequences and Bezoutian forms	2017-02-22	Paper
Totally decomposable quadratic pairs	2016-10-24	Paper
Splitting fields of central simple algebras of exponent two	2016-05-18	Paper
Totally decomposable quadratic pairs	2015-10-02	Paper
Sums of squares in algebraic function fields over a complete discretely valued field	2014-07-31	Paper
Semiorderings and stability index under field extensions	2014-06-25	Paper
The Kaplansky radical of a quadratic field extension	2014-04-07	Paper
Real fields, valuations, and quadratic forms	2013-06-21	Paper
On the second \(K\)-group of a rational function field	2013-06-19	Paper
Symbol length and stability index	2012-09-06	Paper
The length and other invariants of a real field	2011-10-25	Paper
The Elman-Lam-Krüskemper theorem	2011-07-22	Paper
Virtual forms	2010-06-04	Paper
The orthogonal \(u\)-invariant of a quaternion algebra	2010-04-01	Paper
https://portal.mardi4nfdi.de/entity/Q5852614	2010-01-27	Paper
On the \(u\)-invariant of a real function field	2010-01-22	Paper
Sums of squares in function fields of hyperelliptic curves	2009-03-26	Paper
A proof of the Pfister factor conjecture	2008-06-17	Paper
Decomposability for division algebras of exponent two and associated forms	2008-02-18	Paper
Isotropy of quadratic spaces in finite and infinite dimension	2008-02-06	Paper
https://portal.mardi4nfdi.de/entity/Q5483287	2006-08-16	Paper
https://portal.mardi4nfdi.de/entity/Q5483288	2006-08-16	Paper
Totally positive extensions and weakly isotropic forms	2006-06-26	Paper
On fields of \(u\)-invariant 4	2006-03-21	Paper
Minimal weakly isotropic forms	2006-01-10	Paper
Central simple algebras with involution of the first kind.	2005-07-05	Paper
https://portal.mardi4nfdi.de/entity/Q4681540	2005-06-23	Paper
Symbol lengths in Milnor \(K\)-theory	2005-04-05	Paper
Supreme Pfister Forms	2004-03-07	Paper
Milnor \(K\)-groups and finite field extensions	2003-04-27	Paper
On the number of square classes of a field of finite level	2001-12-10	Paper

Research outcomes over time

Doctoral students

No records found.

Known relations from the MaRDI Knowledge Graph

Property	Value
MaRDI profile type	MaRDI person profile
instance of	human

This page was built for person: Karim Johannes Becher