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Dan Segal
Dan Segal
	Dan Segal in 2008; (photo from MFO)
Alma mater	Peterhouse, Cambridge; University of London
Awards	Adams Prize (1982); Whitehead Prize (1985); Ferran Sunyer i Balaguer Prize (2002); Pólya Prize (LMS) (2012)
	Scientific career
Institutions	All Souls College, Oxford
Doctoral advisor	Bertram Wehrfritz
Doctoral students	Geoff 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 Bertram Wehrfritz, 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 as Michael Segal, a senior civil servant.

Publications

Articles

Grunewald, Fritz; Smith, Geoff; —— (1988). "Subgroups of finite index in nilpotent groups". Inventiones Mathematicae. 93: 185–223. doi:10.1007/BF01393692. S2CID 122967621.
—— (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.
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.
—— (2000). "Closed Subgroups of Profinite Groups". Proceedings of the London Mathematical Society. 81: 29–54. doi:10.1112/S002461150001234X. S2CID 121333800.
—— (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. S2CID 123105757.
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. arXiv:math/0604399. 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. arXiv:math/0604400. 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. doi:10.1007/s00222-012-0383-6. S2CID 253746772.
——; Tent, Katrin (2022). "Defining R and G(R)". Journal of the European Mathematical Society. doi:10.4171/JEMS/1255. S2CID 216562690.

Books

Polycyclic Groups, Cambridge University Press 1983; 2005 pbk edition
with J. Dixon, M. Du Sautoy, A. Mann Analytic pro-p-groups, Cambridge University Press 1999,^[5] Paperback edn. 2003
ed. with M. Du Sautoy, A. Shalev New horizons in pro-p-groups, Birkhäuser 2000^[5] Paperback edn. 2012
with Alexander Lubotzky Subgroup growth, Birkhäuser 2003^[6] Paperback edn. 2012
Words: notes on verbal width in groups, London Mathematical Society Lecture Notes, vol. 361, Cambridge University Press 2009^[7]