Dan Segal

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Dan Segal
Dan Segal.jpeg
Dan Segal in 2008
(photo from MFO)
Alma materPeterhouse, Cambridge
University of London
AwardsAdams Prize (1982)
Whitehead Prize (1985)
Pólya Prize (LMS) (2012)
Scientific career
InstitutionsAll Souls College, Oxford
Doctoral advisor
Doctoral studentsGeoff Smith
Marcus du Sautoy

Daniel Segal (born 1947)[1] is a British mathematician and a Professor of Mathematics at the University of Oxford. He specialises in algebra and group theory.

He studied at Peterhouse, Cambridge, before taking a PhD at Queen Mary College, University of London, in 1972, supervised by , with a dissertation on group theory entitled Groups of Automorphisms of Infinite Soluble Groups.[2] He is an Emeritus Fellow of All Souls College at Oxford, where he was sub-warden from 2006 to 2008.[3][4]

His postgraduate students have included Marcus du Sautoy and Geoff Smith. He is the son of psychoanalyst Hanna Segal and brother of philosopher Gabriel Segal as well of Michael Segal, a senior civil servant.

Publications[]

Articles[]

  • Segal, Dan (1989). "On the automorphism groups of certain Lie algebras". Mathematical Proceedings of the Cambridge Philosophical Society. 106 (1): 67–76. Bibcode:1989MPCPS.106...67S. doi:10.1017/S0305004100067980.
  • —— (1990). "Decidable properties of polycyclic groups". Proceedings of the London Mathematical Society. 3 (3): 497–528. CiteSeerX 10.1.1.137.5279. doi:10.1112/plms/s3-61.3.497.
  • Baumslag, Gilbert; Cannonito, Frank B.; Robinson, Derek JS; —— (1991). "The algorithmic theory of polycyclic-by-finite groups" (PDF). Journal of Algebra. 142 (1): 118–149. doi:10.1016/0021-8693(91)90221-S.
  • Lubotzky, Alexander; Mann, Avinoam; —— (1993). "Finitely generated groups of polynomial subgroup growth". Israel Journal of Mathematics. 82 (1–3): 363–371. doi:10.1007/BF02808118.
  • —— (1996). "Variations on polynomial subgroup growth". Israel Journal of Mathematics. 94: 7–19. doi:10.1007/BF02762694.
  • —— (1997). "Ideals of Finite Index in a Polynomial Ring". The Quarterly Journal of Mathematics. 48: 83–92. doi:10.1093/qmath/48.1.83.
  • ——; Shalev, Aner (1997). "Profinite Groups with Polynomial Subgroup Growth". Journal of the London Mathematical Society. 55 (2): 320–334. doi:10.1112/S0024610797004894.
  • —— (1997). "On the Growth of Ideals and Submodules". Journal of the London Mathematical Society. 56 (2): 245–263. doi:10.1112/S0024610797005425.
  • —— (1999). "Some Remarks on p-Adic Analytic Groups". Bulletin of the London Mathematical Society. 31 (2): 149–153. doi:10.1112/S0024609398005335. ISSN 0024-6093.
  • —— (2000). "Closed Subgroups of Profinite Groups". Proceedings of the London Mathematical Society. 81: 29–54. doi:10.1112/S002461150001234X.
  • —— (2001). "The finite images of finitely generated groups". Proceedings of the London Mathematical Society. 82 (3): 597–613. doi:10.1112/plms/82.3.597.
  • Nikolov, Nikolay; —— (2003). "Finite index subgroups in profinite groups". Comptes Rendus Mathematique. 337 (5): 303–308. doi:10.1016/S1631-073X(03)00349-2.
  • Grunewald, Fritz; —— (2004). "On the integer solutions of quadratic equations". Journal für die Reine und Angewandte Mathematik. 2004 (569): 13–45. doi:10.1515/crll.2004.023.
  • Nikolov, Nikolay; —— (2007). "On Finitely Generated Profinite Groups, I: Strong Completeness and Uniform Bounds". Annals of Mathematics. 165 (1): 171–238. doi:10.4007/annals.2007.165.171. JSTOR 20160026.
  • Nikolov, Nikolay; —— (2007). "On Finitely Generated Profinite Groups, II: Products in Quasisimple Groups". Annals of Mathematics. 165 (1): 239–273. doi:10.4007/annals.2007.165.239. JSTOR 20160027.
  • Nikolov, Nikolay; —— (2012). "Generators and commutators in finite groups; abstract quotients of compact groups". Inventiones Mathematicae. 190 (3): 513–602. arXiv:1102.3037. Bibcode:2012InMat.190..513N. doi:10.1007/s00222-012-0383-6.
  • ——; Tent, Katrin (2020). "Defining R and G(R)". arXiv:2004.13407 [math.GR].

Books[]

References[]

  1. ^ 2007 website for a mathematical conference held on the 60th birthday of Dan Segal
  2. ^ Dan Segal at the Mathematics Genealogy Project
  3. ^ Professor Daniel Segal, sub-warden
  4. ^ Homepage in Oxford
  5. ^ Jump up to: a b Lubotzky, Alexander (2001). "Review of Analytic pro-p-groups, New horizons in pro-p-groups, and two other books". Bull. Amer. Math. Soc. (N.S.). 38 (4): 475–479. doi:10.1090/S0273-0979-01-00914-4.
  6. ^ Grigorchuk, Rostislav I. (2004). "Review: Subgroup growth, by Alexander Lubotzky and Dan Segal". Bull. Amer. Math. Soc. (N.S.). 41 (2): 253–256. doi:10.1090/s0273-0979-03-01003-6.
  7. ^ Nekrashevych, V. (2011). "Review: Words: notes on verbal width in groups, by Dan Segal". Bull. Amer. Math. Soc. (N.S.). 48 (3): 491–494. doi:10.1090/s0273-0979-2011-01333-7.


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