Dan Segal Explained

Dan Segal
Workplaces:	All Souls College, Oxford
Alma Mater:	Peterhouse, Cambridge University of London
Doctoral Advisor:	Bertram Wehrfritz
Doctoral Students:	Geoff Smith Marcus du Sautoy
Prizes:	Adams Prize Whitehead Prize Ferran Sunyer i Balaguer Prize Pólya Prize (LMS) (2012)

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. He is an Emeritus Fellow of All Souls College at Oxford, where he was sub-warden from 2006 to 2008.^[2] ^[3]

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

10.1007/BF01393692. Subgroups of finite index in nilpotent groups. 1988. Grunewald. Fritz. Smith. Geoff. Segal. Dan. 2. Inventiones Mathematicae. 93. 185–223. 122967621 .
Segal, Dan. 2. Decidable properties of polycyclic groups. Proceedings of the London Mathematical Society. 3. 3. 1990. 497–528. 10.1112/plms/s3-61.3.497. 10.1.1.137.5279.
10.1007/BF02808118. Finitely generated groups of polynomial subgroup growth. 1993. Lubotzky. Alexander. Mann. Avinoam. Segal. Dan. 2. Israel Journal of Mathematics. 82. 1–3. 363–371.
10.1112/S002461150001234X. Closed Subgroups of Profinite Groups. 2000. Segal. Dan. 2. Proceedings of the London Mathematical Society. 81. 29–54. 121333800 .
10.1112/plms/82.3.597. The finite images of finitely generated groups. 2001. Segal. Dan. 2. Proceedings of the London Mathematical Society. 82. 3. 597–613. 123105757 .
10.1016/S1631-073X(03)00349-2. Finite index subgroups in profinite groups. 2003. Nikolov. Nikolay. Segal. Dan. 2. Comptes Rendus Mathematique. 337. 5. 303–308.
10.1515/crll.2004.023. On the integer solutions of quadratic equations. 2004. Grunewald. Fritz. Segal. Dan. 2. Journal für die Reine und Angewandte Mathematik. 2004. 569. 13–45.
20160026. Nikolov. Nikolay. Segal. Dan. 2. On Finitely Generated Profinite Groups, I: Strong Completeness and Uniform Bounds. Annals of Mathematics. 2007. 165. 1. 171–238. 10.4007/annals.2007.165.171. free. math/0604399.
20160027. Nikolov. Nikolay. Segal. Dan. 2. On Finitely Generated Profinite Groups, II: Products in Quasisimple Groups. Annals of Mathematics. 2007. 165. 1. 239–273. 10.4007/annals.2007.165.239. free. math/0604400.
10.1007/s00222-012-0383-6. Generators and commutators in finite groups; abstract quotients of compact groups. 2012. Nikolov. Nikolay. Segal. Dan. 2. Inventiones Mathematicae. 190. 3. 513–602. 1102.3037 . 253746772 .
10.4171/JEMS/1255. Segal, Dan. 2. Tent, Katrin. Defining R and G(R). Journal of the European Mathematical Society. 2022. 216562690 . free.

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,^[4] Paperback edn. 2003
ed. with M. Du Sautoy, A. Shalev New horizons in pro-p-groups, Birkhäuser 2000^[4] Paperback edn. 2012
with Alexander Lubotzky Subgroup growth, Birkhäuser 2003^[5] Paperback edn. 2012
Words: notes on verbal width in groups, London Mathematical Society Lecture Notes, vol. 361, Cambridge University Press 2009^[6]

Notes and References

http://www.science.unitn.it/~caranti/Conferences/PAGT2007/ 2007 website for a mathematical conference held on the 60th birthday of Dan Segal
Web site: Professor Daniel Segal, sub-warden . 18 October 2012 . 21 April 2015 . https://web.archive.org/web/20150421192137/http://www.all-souls.ox.ac.uk/people.php?personid=62 . dead .
http://www.maths.ox.ac.uk/people/profiles/dan.segal Homepage in Oxford
Lubotzky, Alexander. Review of Analytic pro-p-groups, New horizons in pro-p-groups, and two other books. Bull. Amer. Math. Soc. (N.S.). 2001. 38. 4. 475–479. 10.1090/S0273-0979-01-00914-4. free.
Grigorchuk, Rostislav I.. Rostislav Grigorchuk. Review: Subgroup growth, by Alexander Lubotzky and Dan Segal. Bull. Amer. Math. Soc. (N.S.). 2004. 41. 2. 253–256. 10.1090/s0273-0979-03-01003-6. free.
Nekrashevych, V.. Review: Words: notes on verbal width in groups, by Dan Segal. Bull. Amer. Math. Soc. (N.S.). 2011. 48. 3. 491–494. 10.1090/s0273-0979-2011-01333-7. free.