Yiftach Barnea

"A mathematician is a blind man in a dark room
looking for a black cat which isn't there."
(Charles Darwin)

Department of Mathematics
Royal Holloway, University of London
Egham, Surrey TW20 0EX
UK

Office: 228 McCrea Building
Phone: ++44 (0)1784 414689
Fax: +44 (0)1784 430766
E-mail: y.barnea@rhul.ac.uk

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Links

RHUL: Moodle, Portal, Library Catalogue, Intranet, Calendar, Webmail, IT Helpdesk

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Conferences: Expanders and Properties T & τ (Imperial, 19-20.4.10)

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Curriculum Vitae

Education

Ph.D., 1999, The Hebrew University of Jerusalem, Israel
M.Sc., 1994, The Hebrew University of Jerusalem, Israel
B.Sc., 1992, The Hebrew University of Jerusalem, Israel

Experience

Reader in Mathematics, Royal Holloway, University of London 2008-

Lecturer of Mathematics, Royal Holloway, University of London 2004- 2008
Visiting Research Fellow, Imperial College, London and University of Kent, Canterbury 2003-2004
Van Vleck Visiting Assistant Professor, University of Wisconsin, Madison, 2000- 2003
MSRI Postdoctoral Fellow, MSRI, Berkeley, 1999-2000

Research Interests

My general research area is Algebra. In particular I am interested in:

· Group Theory: Pro-p groups, Profinite groups, Totally disconnected locally compact groups, Algebraic groups over local fields, Finite groups.

· Lie Algebras: Finite dimensional Lie algebras, Graded Lie algebras.

Research Activities

I am a member of the South England Profinite Groups Meeting, see the link for the meeting we organize.

Publications

1. Y. Barnea and A. Shalev, Hausdorff dimension, pro-p groups, and Kac-Moody algebras, Trans. Amer. Math. Soc. 349 (1997), 5073-5091.
2. Y. Barnea, A. Shalev and E.I. Zelmanov, Graded subalgebras of affine Kac-Moody algebras, Israel J. Math. 104 (1998), 321-334.
3. Y. Barnea and M. Larsen, A non-abelian free pro-p group is not linear over a local field, J. Algebra 214 (1999), 338-341.
4. Y. Barnea, Residual properties of free pro-p groups, Bull. London Math. Soc. 33 (2001), 578-582.
5. Y. Barnea, Generators of simple Lie algebras and the lower rank of some pro-p groups, Comm. Algebra 30 (2002), 1293-1303.
6. Y. Barnea and R. Guralnick, Subgroup growth of some pro-p groups, Proc. Amer. Math. Soc. 130 (2002), 653-659.
7. Y. Barnea and B. Klopsch, Index subgroups of the Nottingham group, Adv. Math. 180 (2003), 187-221.
8. Y. Barnea and I. M. Isaacs, Lie algebras with few centralizer dimensions, J. Algebra 259 (2003), 284-299.
9. Y. Barnea and M. Larsen, Random generation in semisimple algebraic groups over local fields, J. Algebra 271 (2004), 1-10.
10. Y. Barnea, Maximal graded subalgebras of loop toroidal Lie algebras, Algebr. Represent. Theory 8 (2005), 165-171.
11. Y. Barnea and D. S. Passman, Filtrations in semisimple Lie algebras, I, Trans. Amer. Math. Soc. 358 (2006), 1983-2010.
12. Y. Barnea and D. S. Passman, Filtrations in semisimple Lie algebras, II, Trans. Amer. Math. Soc. 360 (2008) 801-817.
13. Y. Barnea, N. Gavioli, A. Jaikin-Zapirain, V. Monti, and C. M. Scoppola, Pro-p groups with few normal subgroups, J. Algebra. 321 (2009) 429-449.
14. Y. Barnea, M. Ershov, and T. Weigel, Abstract commensurators of profinite groups, accepted to Trans. Amer. Math. Soc..

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