Max-Albert Knus

Max-Albert Knus in 2014

Max-Albert Knus is a Swiss mathematician specializing in algebra.

He was born April 14, 1942, in Peseux, Neuchatel. He studied mathematics at ETH Zurich with Beno Eckmann and K. Chandrasekharan. With his thesis, On a class of filtered algebras, he graduated in 1967.

He was a Batelle-fellow at ETH and Brandeis University. He was director of research at University of Geneva. In 1969 he returned to ETH as a professor and became emeritus in 2007.

His research interests include quadratic forms, algebraic groups, Galois cohomology, and theory of algebras.

Since 1997 he has been a fellow of the Swiss National Science Foundation. ^[1]

Selected works

• 1974: (with Manuel Ojanguren) Théorie de la Descente et Algèbres d'Azumaya, Lecture Notes in Mathematics #389, Springer-Verlag ISBN   978-3-540-06791-7 doi : 10.1007/BFb0057799 MR   0417149 Zbl   0284.13002
• 1991: Quadratic and Hermetian Forms over Rings, Grundlehren der Mathematischen Wissenschaften, Springer ISBN   3-540-52117-8 Zbl   0756.11008 doi : 10.1007/978-3-642-75401-2
• 1998: (with Alexander Merkurjev, Markus Rost, Jean-Pierre Tignol) The Book of Involutions, American Mathematical Society ISBN   0-8218-0904-0 Zbl   0955.16001 MR   1632779 ^[2]
• 1988: "Pfaffians and quadratic forms", Advances in Mathematics 71(1): 1 to 20
• 1993: "Sur la form d'Albert et le produit tensoriel de deux algebras de quaternions", Bulletin of the Belgian Mathematical Society - Simon Stevin Ser B 45(3) : 333 to 7
• 1995: (with T.Y. Lam, D.B. Shapiro, and J-P. Tignol) "Discriminants of involutions on biquaternion algebras", pages 279 to 303 in K-theory and algebraic geometry: connections with quadratic forms and division algebras, B. Jacob and A. Rosenberg, editors, American Mathematical Society
• 1989: (with R. Parimala and R. Sridharan) "A classification of rank 6 quadratic spaces via pfaffians", Journal für die reine und angewandte Mathematik 398: 187 to 218.
• 1991: "Involutions on rank 10 central simple algebras", Journal of the Indian Mathematical Society (N.S.) 57(1-4): 143 to 151
• 1991: "On the discriminant of an involution", Bulletin of the Belgian Mathematical Society - Simon Stevin Ser A 43(1-2): 89 to 98
• 1991: "Pfaffians, central simple algebras and similitudes", Mathematische Zeitschrift 206(4): 589 to 604
• 1994: "On compositions and triality", Journal für die reine und angewandte Mathematik 457: 45 to 70
• 1990: (with R. Parimala and V. Srinivas) "Azumaya algebras with involutions", Journal of Algebra 130(1): 65 to 82
• 1988: Quadratic forms, Clifford algebras and spinors, Seminarios de Mathematicas, IMEEC, Unicamp, Campinas SP, Brazil
• 1974: "A Mayer-Vietoris sequence for the Brauer group", Journal of Pure and Applied Algebra 5: 345 to 60
• 1998: "Cohomologie étale et groupe de Brauer", pages 210 to 28 in Group de Brauer, Lecture Notes in Mathematics # 844
• 1991: "The Clifford algebra of a metabolic space", Archivum Mathematicum 56: 440 to 5
• 1978: (with M. Ojanguren & R. Sridharan) "Quadratic forms an Azumaya algebras", Journal für die reine und angewandte Mathematik 303/4: 231 to 48
• 1985: (with A. Paques) "Quadratic spaces with trivial Arf invariant", Journal of Algebra 93: 267 to 91
• 1980: (with R. Parimala) "Quadratic forms associated with projective modules over quaternion algebras", Crelle's Journal 318: 20 to 31
• 1986: (with R. Parimala & R. Sridharan) "On rank 4 quadratic spaces with given Arf and Witt invariants", Mathematische Annalen 274: 181 to 95
• 1989: (with R. Parimala & R. Sridharan) "A classification of rank 6 quadratic spaces with Pfaffians", Crelle's Journal 398: 187 to 218
• 1991; (with R. Parimala & R. Sridharan) "Pfaffians, central simple algebras and similitudes", Mathematische Zeitschrift 206: 589 to 606

References

1. Max-Albert Knus @ Swiss National Science Foundation
2. Springer, T. A. (1999). "Review: The book of involutions, by M.-A. Knus, A. Merkurjev, M. Rost, and J.-P. Tignol (with a preface by J. Tits)" (PDF). Bulletin of the American Mathematical Society (N.S.). 36 (3): 383–388. doi: 10.1090/S0273-0979-99-00780-6 .

External links

• Max-Albert Knus at the Mathematics Genealogy Project