Sabir Gusein-Zade

Sabir Gusein-Zade (2010), El Escorial

Sabir Medgidovich Gusein-Zade (Russian: Сабир Меджидович Гусейн-Заде; born 29 July 1950, Moscow[1]) is a Russian mathematician and a specialist in singularity theory and its applications.[2]

He studied at Moscow State University, where he obtained his Ph.D. in 1975 under the joint supervision of Sergei Novikov and Vladimir Arnold.[3] Before entering the university, he had obtained a gold medal at the International Mathematical Olympiad.[2]

Gusein-Zade co-authored with V. I. Arnold and A. N. Varchenko the classic textbook Singularities of Differentiable Maps (published in English by Birkhäuser).[2]

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.[4] He shares credit with Norbert A’Campo for well-known and important results on the singularities of plane curves.[5][6][7]

Selected publications

References

  1. ↑ Home page of Sabir Gusein-Zade
  2. ↑ 2.0 2.1 2.2 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", 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 63, Cambridge University Press, Cambridge, p. 152, doi:10.1017/CBO9780511617560, ISBN 0-521-83904-1, 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 \Bbb R and admitting a real morsification 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 \mathcal{A}-simple \Sigma^{n-p+1}-germs from \Bbb R^n to \Bbb R^p, n\ge p", Mathematical Proceedings of the Cambridge Philosophical Society 139 (2): 333–349, doi:10.1017/S0305004105008625, MR 2168091, 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.