Edit Profile (opens in new tab) Hoffmann, Detlev W. Compute Distance To: Compute Author ID: hoffmann.detlev-w Published as: Hoffmann, Detlev W.; Hoffmann, Detlev; Hoffmann, D. W. more...less Homepage: https://www.mathematik.tu-dortmund.de/de/personen/person/Detlev+Hoffmann.html External Links: MGP Documents Indexed: 45 Publications since 1991 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 213 Reviews Co-Authors: 17 Co-Authors with 21 Joint Publications 273 Co-Co-Authors all top 5 Co-Authors 30 single-authored 4 Tignol, Jean-Pierre 3 Becher, Karim Johannes 3 Laghribi, Ahmed 3 Merkur’ev, Aleksandr Sergeevich 3 Van Geel, Jan 2 Garibaldi, Skip 1 Baeza, Ricardo 1 Chan, Wai Kiu 1 Dolphin, Andrew 1 Grenier-Boley, Nicolas 1 Izhboldin, Oleg T. 1 Leep, David B. 1 Lewis, David W. 1 Quéguiner-Mathieu, Anne 1 Scheiderer, Claus 1 Schulze-Pillot, Rainer 1 Sobiech, Marco all top 5 Serials 7 Documenta Mathematica 5 Journal of Algebra 4 Oberwolfach Reports 3 Manuscripta Mathematica 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Indagationes Mathematicae. New Series 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Japonica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Publications Mathématiques de la Faculté des Sciences de Besançon. Théorie des Nombres 1 Mathematical Proceedings of the Royal Irish Academy 1 Homology, Homotopy and Applications 1 Contemporary Mathematics all top 5 Fields 50 Number theory (11-XX) 23 Field theory and polynomials (12-XX) 7 Algebraic geometry (14-XX) 7 Associative rings and algebras (16-XX) 7 \(K\)-theory (19-XX) 5 General and overarching topics; collections (00-XX) 4 Group theory and generalizations (20-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Topological groups, Lie groups (22-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 276 times in 154 Documents Cited by ▼ Year ▼ Isotropy of quadratic forms over the function field of a quadric. Zbl 0840.11017Hoffmann, Detlev W. 37 1995 Quadratic forms and Pfister neighbors in characteristic 2. Zbl 1116.11020Hoffmann, Detlev W.; Laghribi, Ahmed 35 2004 Cohomological invariants: exceptional groups and spin groups. With an appendix by Detlev W. Hoffmann. Zbl 1191.11009Garibaldi, Skip 30 2009 Isotropy of quadratic forms over the function field of a quadric in characteristic 2. Zbl 1138.11012Hoffmann, Detlev W.; Laghribi, Ahmed 21 2006 Diagonal forms of degree \(p\) in characteristic \(p\). Zbl 1074.11023Hoffmann, Detlev W. 17 2004 Pythagoras numbers of fields. Zbl 0921.11018Hoffmann, Detlev W. 13 1999 On 6-dimensional quadratic forms isotropic over the function field of a quadric. Zbl 0804.11031Hoffmann, Detlev W. 12 1994 Isotropy of 5-dimensional quadratic forms over the function field of a quadric. Zbl 0824.11023Hoffmann, Detlev W. 12 1995 Witt kernels of bilinear forms for algebraic extensions in characteristic 2. Zbl 1135.11015Hoffmann, Detlev W. 9 2006 On positive definite Hermitian forms. Zbl 0729.11020Hoffmann, Detlev W. 9 1991 Isotropy of quadratic forms and field invariants. Zbl 1025.11006Hoffmann, Detlev W. 8 2000 Twisted Pfister forms. Zbl 0853.11027Hoffmann, Detlev W. 8 1996 Splitting patterns and invariants of quadratic forms. Zbl 0916.11022Hoffmann, Detlev W. 7 1998 On quadratic forms of height two and a theorem of Wadsworth. Zbl 0867.11024Hoffmann, Detlev W. 7 1996 Symbol lengths in Milnor \(K\)-theory. Zbl 1069.19004Becher, Karim Johannes; Hoffmann, Detlev W. 7 2004 Witt kernels and Brauer kernels for quartic extensions in characteristic two. Zbl 1364.11092Hoffmann, Detlev W.; Sobiech, Marco 6 2015 Similarity of quadratic forms and half-neighbors. Zbl 0922.11031Hoffmann, Detlev W. 6 1998 Levels of quaternion algebras. Zbl 1195.11047Hoffmann, Detlev W. 5 2008 Differential forms and bilinear forms under field extensions. Zbl 1393.11034Dolphin, Andrew; Hoffmann, Detlev W. 5 2015 On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014Hoffmann, Detlev W.; Tignol, Jean-Pierre 5 1998 Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field. Zbl 0922.11032Hoffmann, Detlev W.; Van Geel, Jan 5 1998 Isomorphism criteria for Witt rings of real fields. Zbl 1278.11042Grenier-Boley, Nicolas; Hoffmann, Detlev W.; Scheiderer, Claus 5 2013 Minimal forms with respect to function fields of conics. Zbl 0824.11022Hoffmann, D. W.; Van Geel, J. 4 1995 Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2. Zbl 1414.11050Hoffmann, Detlev W. 4 2015 Minimal forms for function fields of conics. Zbl 0824.11024Hoffmann, D. W.; Lewis, D. W.; Van Geel, J. 4 1995 Totaro’s question on zero-cycles on \(G_2\), \(F_4\) and \(E_6\) torsors. Zbl 1092.11021Garibaldi, Skip; Hoffmann, Detlev W. 3 2006 Dimensions of anisotropic indefinite quadratic forms. I. Zbl 1025.11007Hoffmann, Detlev W. 3 2001 Levels and sublevels of quaternion algebras. Zbl 1276.11051Hoffmann, Detlev W. 3 2010 On Elman and Lam’s filtration of the \(u\)-invariant. Zbl 0882.11021Hoffmann, Detlev W. 2 1998 On the dimensions of anisotropic quadratic forms in \(I^4\). Zbl 0905.11020Hoffmann, Detlev W. 2 1998 Embeddability of quadratic forms in Pfister forms. Zbl 0988.11013Hoffmann, Detlev W.; Izhboldin, Oleg T. 2 2000 A note on simple decomposition of quadratic forms over linked fields. Zbl 0829.11023Hoffmann, Detlev W. 2 1995 Motivic equivalence and similarity of quadratic forms. Zbl 1336.11028Hoffmann, Detlev W. 2 2015 The Newton polygon of a product of power series. Zbl 0827.13009Hoffmann, Detlev W. 1 1994 On the dimensions of quadratic forms of height 2. (Sur les dimensions des formes quadratiques de hauteur 2.) Zbl 0879.11016Hoffmann, Detlev W. 1 1997 Minimal forms for function fields of Pfister forms. Zbl 1243.11056Hoffmann, Detlev W. 1 1997 On a conjecture of Izhboldin on similarity of quadratic forms. Zbl 0916.11021Hoffmann, Detlev W. 1 1999 Similarity of multiples of Albert forms in characteristic 2. (Similitude des multiples des formes d’Albert en caractéristique 2.) Zbl 1368.11029Hoffmann, Detlev W.; Laghribi, Ahmed 1 2013 Sums of integers and sums of their squares. Zbl 1458.11064Hoffmann, Detlev W. 1 2020 Sums of integers and sums of their squares. Zbl 1458.11064Hoffmann, Detlev W. 1 2020 Witt kernels and Brauer kernels for quartic extensions in characteristic two. Zbl 1364.11092Hoffmann, Detlev W.; Sobiech, Marco 6 2015 Differential forms and bilinear forms under field extensions. Zbl 1393.11034Dolphin, Andrew; Hoffmann, Detlev W. 5 2015 Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2. Zbl 1414.11050Hoffmann, Detlev W. 4 2015 Motivic equivalence and similarity of quadratic forms. Zbl 1336.11028Hoffmann, Detlev W. 2 2015 Isomorphism criteria for Witt rings of real fields. Zbl 1278.11042Grenier-Boley, Nicolas; Hoffmann, Detlev W.; Scheiderer, Claus 5 2013 Similarity of multiples of Albert forms in characteristic 2. (Similitude des multiples des formes d’Albert en caractéristique 2.) Zbl 1368.11029Hoffmann, Detlev W.; Laghribi, Ahmed 1 2013 Levels and sublevels of quaternion algebras. Zbl 1276.11051Hoffmann, Detlev W. 3 2010 Cohomological invariants: exceptional groups and spin groups. With an appendix by Detlev W. Hoffmann. Zbl 1191.11009Garibaldi, Skip 30 2009 Levels of quaternion algebras. Zbl 1195.11047Hoffmann, Detlev W. 5 2008 Isotropy of quadratic forms over the function field of a quadric in characteristic 2. Zbl 1138.11012Hoffmann, Detlev W.; Laghribi, Ahmed 21 2006 Witt kernels of bilinear forms for algebraic extensions in characteristic 2. Zbl 1135.11015Hoffmann, Detlev W. 9 2006 Totaro’s question on zero-cycles on \(G_2\), \(F_4\) and \(E_6\) torsors. Zbl 1092.11021Garibaldi, Skip; Hoffmann, Detlev W. 3 2006 Quadratic forms and Pfister neighbors in characteristic 2. Zbl 1116.11020Hoffmann, Detlev W.; Laghribi, Ahmed 35 2004 Diagonal forms of degree \(p\) in characteristic \(p\). Zbl 1074.11023Hoffmann, Detlev W. 17 2004 Symbol lengths in Milnor \(K\)-theory. Zbl 1069.19004Becher, Karim Johannes; Hoffmann, Detlev W. 7 2004 Dimensions of anisotropic indefinite quadratic forms. I. Zbl 1025.11007Hoffmann, Detlev W. 3 2001 Isotropy of quadratic forms and field invariants. Zbl 1025.11006Hoffmann, Detlev W. 8 2000 Embeddability of quadratic forms in Pfister forms. Zbl 0988.11013Hoffmann, Detlev W.; Izhboldin, Oleg T. 2 2000 Pythagoras numbers of fields. Zbl 0921.11018Hoffmann, Detlev W. 13 1999 On a conjecture of Izhboldin on similarity of quadratic forms. Zbl 0916.11021Hoffmann, Detlev W. 1 1999 Splitting patterns and invariants of quadratic forms. Zbl 0916.11022Hoffmann, Detlev W. 7 1998 Similarity of quadratic forms and half-neighbors. Zbl 0922.11031Hoffmann, Detlev W. 6 1998 On 14-dimensional quadratic forms in \(I^3\), 8-dimensional forms in \(I^2\), and the common value property. Zbl 0914.11014Hoffmann, Detlev W.; Tignol, Jean-Pierre 5 1998 Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field. Zbl 0922.11032Hoffmann, Detlev W.; Van Geel, Jan 5 1998 On Elman and Lam’s filtration of the \(u\)-invariant. Zbl 0882.11021Hoffmann, Detlev W. 2 1998 On the dimensions of anisotropic quadratic forms in \(I^4\). Zbl 0905.11020Hoffmann, Detlev W. 2 1998 On the dimensions of quadratic forms of height 2. (Sur les dimensions des formes quadratiques de hauteur 2.) Zbl 0879.11016Hoffmann, Detlev W. 1 1997 Minimal forms for function fields of Pfister forms. Zbl 1243.11056Hoffmann, Detlev W. 1 1997 Twisted Pfister forms. Zbl 0853.11027Hoffmann, Detlev W. 8 1996 On quadratic forms of height two and a theorem of Wadsworth. Zbl 0867.11024Hoffmann, Detlev W. 7 1996 Isotropy of quadratic forms over the function field of a quadric. Zbl 0840.11017Hoffmann, Detlev W. 37 1995 Isotropy of 5-dimensional quadratic forms over the function field of a quadric. Zbl 0824.11023Hoffmann, Detlev W. 12 1995 Minimal forms with respect to function fields of conics. Zbl 0824.11022Hoffmann, D. W.; Van Geel, J. 4 1995 Minimal forms for function fields of conics. Zbl 0824.11024Hoffmann, D. W.; Lewis, D. W.; Van Geel, J. 4 1995 A note on simple decomposition of quadratic forms over linked fields. Zbl 0829.11023Hoffmann, Detlev W. 2 1995 On 6-dimensional quadratic forms isotropic over the function field of a quadric. Zbl 0804.11031Hoffmann, Detlev W. 12 1994 The Newton polygon of a product of power series. Zbl 0827.13009Hoffmann, Detlev W. 1 1994 On positive definite Hermitian forms. Zbl 0729.11020Hoffmann, Detlev W. 9 1991 all cited Publications top 5 cited Publications all top 5 Cited by 110 Authors 23 Laghribi, Ahmed 14 Hoffmann, Detlev W. 9 Becher, Karim Johannes 8 Dolphin, Andrew 7 Karpenko, Nikita Aleksandrovich 7 Quéguiner-Mathieu, Anne 6 O’Shea, James 6 Tignol, Jean-Pierre 5 Sivatski, Alexander S. 4 Aravire, Roberto 4 Garibaldi, Skip 4 Gładki, Paweł 4 Izhboldin, Oleg T. 4 Nokhodkar, Amir Hossein 4 Scully, Stephen 3 Mahmoudi, Mohammad Gholamzadeh 3 Pumplün, Susanne 3 Sobiech, Marco 2 Astier, Vincent 2 Chapman, Adam 2 De Clercq, Charles 2 Flaut, Cristina 2 Guralnick, Robert Michael 2 Howe, Everett W. 2 Kahn, Bruno 2 Krásenský, Jakub 2 Leep, David B. 2 Marshall, Murray Angus 2 Masquelein, Alexandre 2 O’Ryan, Manuel 2 Parimala, Raman 2 Petersson, Holger P. 2 Rehmann, Ulf 2 Ritzenthaler, Christophe 2 Roussey, Sylvain 2 Totaro, Burt 2 Yagita, Nobuaki 1 André, Yves 1 Antieau, Benjamin 1 Auel, Asher Natan 1 Barry, Demba 1 Beauville, Arnaud 1 Berhuy, Grégory 1 Boelaert, Lien 1 Bondarenko, Vitalij M. 1 Brussel, Eric S. 1 Chipchakov, Ivan D. 1 Clark, Peter Louis 1 De Medts, Tom 1 Dummigan, Neil 1 Fernando, José F. 1 Gille, Philippe 1 Gordon-Sarney, Reed Leon 1 Grenier-Boley, Nicolas 1 Haution, Olivier 1 Hutchens, John 1 Jacob, Bill 1 Jürgens, Michael 1 Kala, Vítězslav 1 Kaur, Dilpreet 1 Kim, Daejun 1 Kirschmer, Markus 1 Koprowski, Przemysław 1 Kuhlmann, Katarzyna 1 Kulshrestha, Amit 1 Lewis, David W. 1 Loper, Kenneth Alan 1 Lucas, Thomas George 1 Mammone, Pasquale 1 Marseglia, Stefano 1 McKinnie, Kelly 1 Meyer, Jeffrey S. 1 Morandi, Patrick J. 1 Mukhija, Diksha 1 Narbonne, Fabien 1 Nart, Enric 1 Neher, Erhard 1 Ohm, Jack 1 Ojanguren, Manuel 1 Pérez-Isquierdo, José M. 1 Polishchuk, Andrij M. 1 Raška, Martin 1 Robert, Damien 1 Schönnenbeck, Sebastian 1 Schreieder, Stefan 1 Schröer, Stefan 1 Schubert, Claus 1 Schwartz, Nathaniel J. 1 Semenov, Nikita 1 Sgallová, Ester 1 Starikova, Ol’ga Aleksandrovna 1 Stavrova, Anastasia K. 1 Stepochkina, Maryna V. 1 Suresh, Venapally 1 Szymiczek, Kazimierz 1 Top, Jaap 1 Unger, Thomas P. 1 Van Geel, Jan 1 Velušček, Dejan 1 Vial, Charles ...and 10 more Authors all top 5 Cited in 60 Serials 23 Journal of Algebra 14 Journal of Pure and Applied Algebra 9 Mathematische Zeitschrift 8 Communications in Algebra 6 Manuscripta Mathematica 6 Proceedings of the American Mathematical Society 6 Indagationes Mathematicae. New Series 5 Transactions of the American Mathematical Society 4 Israel Journal of Mathematics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Journal of Number Theory 3 Mathematische Nachrichten 3 Expositiones Mathematicae 3 Journal of Algebra and its Applications 2 Archiv der Mathematik 2 Compositio Mathematica 2 Mathematische Annalen 2 Transformation Groups 2 Algebras and Representation Theory 2 Journal of the Institute of Mathematics of Jussieu 2 Nonlinear Oscillations 2 Journal of \(K\)-Theory 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Acta Arithmetica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Publications Mathématiques 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Bulletin des Sciences Mathématiques 1 Representation Theory 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 Asian-European Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Research in Number Theory 1 Annals of \(K\)-Theory all top 5 Cited in 15 Fields 127 Number theory (11-XX) 50 Field theory and polynomials (12-XX) 39 Algebraic geometry (14-XX) 34 Associative rings and algebras (16-XX) 16 \(K\)-theory (19-XX) 12 Group theory and generalizations (20-XX) 9 Commutative algebra (13-XX) 9 Nonassociative rings and algebras (17-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year