Prof. Dan Segal
Senior Research Fellow emeritus, All Souls College
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Algebra, number theory
Adams Prize 1981, Whitehead Prize 1985, Ferran Sunyer i Balaguer Prize 2002, Polya Prize 2012
Algorithms determining finite simple images of finitely presented groups (with M. R. Bridson, D. M. Evans, and M. W. Liebeck)
Invent. Math. 218 (2019), pages 623–648.
Remarks on profinite groups having few open subgroups, J. Comb. Algebra 2 (2018), 87-101.
On normal subgroups of compact groups (with N. Nikolov), J. Eur. Math. Soc. 16 (2014), 597–618.
The density of representation degrees (with M. Liebeck and A. Shalev), J. Eur. Math. Soc. 14 (2012), 1519–1537
Generators and commutators in finite groups; abstract quotients of compact groups (with N. Nikolov), Invent. Math. 190 (2012), 513-602; http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s0…
Powers in finite groups (with N. Nikolov), Groups Geom. Dyn. 5 (2011), 501–507.
On verbal subgroups of adelic groups, J. Algebra 326 (2011), 227-237: 
doi:10.1016/j.jalgebra.2009.03.024
Words: notes on verbal width in groups
LMS Lect. Notes 361, CUP, 2009. ISBN 978-0-521-74766-0
Polycyclic groups
Cambridge Tracts in Math. 82, CUP, Cambridge, 1983; paperback 2005. ISBN 978-0-521-02394-8
Subgroup growth (with A. Lubotzky)
Progress in Math. 212, Birkhauser, Basel, 2003. ISBN 3-7643-6989-2
Analytic pro-p groups, 2nd ed. (with J.D. Dixon, M.P.F. du Sautoy and A. Mann)
Cambridge Studies in Advanced Mathematics 61, CUP, Cambridge 1999; paperback 2003. ISBN 978-0-521-54218-0
New horizons in pro-p groups (editor, with M. P. F. du Sautoy and A. Shalev)
Progress in Math. 184, Birkhauser, Boston 2000. ISBN 0-8176-4171-8, 3-7643-4171-8