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.
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 |
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
editArticles
edit- 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
edit- 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]
References
edit- ^ 2007 website for a mathematical conference held on the 60th birthday of Dan Segal
- ^ Dan Segal at the Mathematics Genealogy Project
- ^ "Professor Daniel Segal, sub-warden". Archived from the original on 21 April 2015. Retrieved 18 October 2012.
- ^ Homepage in Oxford[permanent dead link]
- ^ 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.
- ^ 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.
- ^ 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.
