Wilberd Leo Johan van der Kallen (born 15 January 1947 in Nieuwer-Amstel)[1] is a Dutch mathematician.

W. L. J. van der Kallen completed his undergraduate study of mathematics and physics at Utrecht University.[2] There he received his PhD in 1973 with thesis advisor T. A. Springer and thesis Infinitesimally central extensions of Chevalley groups.[3] In 1969 van der Kallen became a teaching assistant in Utrecht University's Mathematics Department and has spent his career there, eventually becoming a tenured professor. His research deals with algebraic K-theory and the representation theory of algebraic groups, among other topics. He has frequently been a visiting professor at Northwestern University in Evanston, Illinois and at the Tata Institute of Fundamental Research in Mumbai.[2]

He is the author or coauthor of over 60 research articles.[2] In 1977 he published an analogue of a 1977 theorem of Andrei Suslin[4][5] and a generalization of a 1969 theorem of Hideya Matsumoto.[6] In 1978 van der Kallen was an invited speaker at the International Congress of Mathematicians in Helsinki.[7] His 1980 paper Homology stability for linear groups[8] has over 200 citations. His 1977 paper Rational and generic cohomology, written with 3 other mathematicians,[9] has over 240 citations.

Books

  • van der Kallen, Wilberd (1993). Lectures on Frobenius Splittings and B-modules. ISBN 978-81-85198-60-6; 98 pages{{cite book}}: CS1 maint: postscript (link)
  • van der Kallen, Wilberd (15 November 2006). Infinitesimally Central Extensions of Chevalley Groups. Lecture Notes in Mathematics, vol. 356. Springer. ISBN 978-3-540-37857-0; pbk reprint of 1973 original, 154 pages{{cite book}}: CS1 maint: postscript (link)
  • Cohen, Arjeh M.; Hesselink, Wim H.; van der Kallen, Wilberd L. J.; Strooker, Jan R., eds. (15 November 2006). Algebraic Groups. Utrecht 1986: Proceedings of a Symposium in Honour of T.A. Springer. Lecture Notes in Mathematics, vol. 1271. Springer. ISBN 978-3-540-47834-8; reprint of 1987 original{{cite book}}: CS1 maint: postscript (link)

References

  1. ↑ "XI 5 Wilberd van der Kallen" (PDF). deel 10 : Albert (X 7) — wilberdk.home.xs4all.nl.
  2. 1 2 3 "Wilberd van der Kallen (with links to publication list)". Geometry and Quantum Theory (GQT) (a national Dutch mathematical research cluster).
  3. ↑ Wilberd L. J. van der Kallen at the Mathematics Genealogy Project
  4. ↑ van der Kallen, Wilberd (1977). "Another presentation for Steinberg groups" (PDF). Indagationes Mathematicae (Proceedings). 80 (4): 304–312. doi:10.1016/1385-7258(77)90026-9.
  5. ↑ Suslin, A. A. (1977). "On the Structure of the Special Linear Group over Polynomial Rings". Mathematics of the USSR-Izvestiya. 11 (2): 221–238. Bibcode:1977IzMat..11..221S. doi:10.1070/IM1977v011n02ABEH001709.
  6. ↑ van der Kallen, W. (1977). "The of rings with many units" (PDF). Annales scientifiques de l'École Normale Supérieure. 10 (4): 473–515. doi:10.24033/asens.1334.
  7. ↑ van der Kallen, W. (1978). "Generators and relations in algebraic K-theory" (PDF). Proceedings of the International Conference of Mathematicians at Helsinki. Vol. 1. pp. 305–310.
  8. ↑ van der Kallen, Wilberd (1980). "Homology stability for linear groups". Inventiones Mathematicae. 60 (3): 269–295. Bibcode:1980InMat..60..269K. doi:10.1007/BF01390018. S2CID 54671324.
  9. ↑ Cline, Edward; Parshall, Brian; Scott, Leonard; van der Kallen, W. (197). "Rational and generic cohomology" (PDF). Inventiones Mathematicae. 39 (2): 143–163. doi:10.1007/BF01390106. S2CID 14358269.
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