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Sabir Gusein-Zade

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Russian mathematician (born 1950)
Sabir Gusein-Zade (2010), El Escorial

Sabir Medgidovich Gusein-Zade (Russian: Сабир Меджидович Гусейн-Заде; born 29 July 1950 in Moscow) is a Russian mathematician and a specialist in singularity theory and its applications.

He studied at Moscow State University, where he earned his Ph.D. in 1975 under the joint supervision of Sergei Novikov and Vladimir Arnold. Before entering the university, he had earned a gold medal at the International Mathematical Olympiad.

Gusein-Zade co-authored with V. I. Arnold and A. N. Varchenko the textbook Singularities of Differentiable Maps (published in English by Birkhäuser).

A professor in both the Moscow State University and the Independent University of Moscow, Gusein-Zade also serves as co-editor-in-chief for the Moscow Mathematical Journal. He shares credit with Norbert A'Campo for results on the singularities of plane curves.

Selected publications

References

  1. Home page of Sabir Gusein-Zade
  2. ^ Artemov, S. B.; Belavin, A. A.; Buchstaber, V. M.; Esterov, A. I.; Feigin, B. L.; Ginzburg, V. A.; Gorsky, E. A.; Ilyashenko, Yu. S.; Kirillov, A. A.; Khovanskii, A. G.; Lando, S. K.; Margulis, G. A.; Neretin, Yu. A.; Novikov, S. P.; Shlosman, S. B.; Sossinsky, A. B.; Tsfasman, M. A.; Varchenko, A. N.; Vassiliev, V. A.; Vlăduţ, S. G. (2010), "Sabir Medgidovich Gusein-Zade", Moscow Mathematical Journal, 10 (4).
  3. Sabir Gusein-Zade at the Mathematics Genealogy Project
  4. Editorial Board (2011), "Sabir Gusein-Zade – 60" (PDF), Anniversaries, TWMS Journal of Pure and Applied Mathematics, 2 (1): 161.
  5. Wall, C. T. C. (2004), Singular Points of Plane Curves, London Mathematical Society Student Texts, vol. 63, Cambridge University Press, Cambridge, p. 152, doi:10.1017/CBO9780511617560, ISBN 978-0-521-83904-4, MR 2107253, An important result, due independently to A'Campo and Gusein-Zade, asserts that every plane curve singularity is equisingular to one defined over R {\displaystyle \mathbb {R} } and admitting a real morsification f t {\displaystyle f_{t}} with only 3 critical values.
  6. Brieskorn, Egbert; Knörrer, Horst (1986), Plane Algebraic Curves, Modern Birkhäuser Classics, Basel: Birkhäuser, p. vii, doi:10.1007/978-3-0348-5097-1, ISBN 978-3-0348-0492-9, MR 2975988, I would have liked to introduce the beautiful results of A'Campo and Gusein-Zade on the computation of the monodromy groups of plane curves. Translated from the German original by John Stillwell, 2012 reprint of the 1986 edition.
  7. Rieger, J. H.; Ruas, M. A. S. (2005), "M-deformations of A {\displaystyle {\mathcal {A}}} -simple Σ n − p + 1 {\displaystyle \Sigma ^{n-p+1}} -germs from R n {\displaystyle \mathbb {R} ^{n}} to R p , n ≥ p {\displaystyle \mathbb {R} ^{p},n\geq p} ", Mathematical Proceedings of the Cambridge Philosophical Society, 139 (2): 333–349, doi:10.1017/S0305004105008625 (inactive 2024-11-22), MR 2168091, S2CID 94870364, For map-germs very little is known about the existence of M-deformations beyond the classical result by A'Campo and Gusein–Zade that plane curve-germs always have M-deformations.{{citation}}: CS1 maint: DOI inactive as of November 2024 (link)

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