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Dr Nikolay Nikolov
D.Phil 2002, Oxford University
- University Lecturer in Pure Mathematics
eMail:
Nikolay [dot] Nikolov [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
CV:
CVNikolov.pdf
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: 01865 273590
Office:
SGF12
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Asymptotic behaviour of invariants of finite or infinite groups, for example expansion, word width, growth of rank or Betti numbers.
Prizes, Awards and Scholarships:
Whitehead prize of the London Mathematical Society, 2007.
Recent Publications (from MathSciNet):
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MR2835886 Reviewed Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo On the growth of Betti numbers of locally symmetric spaces.
C. R. Math. Acad. Sci. Paris 349 (2011), no. 15-16, 831–835. (Reviewer: B. Sury) 58J37 (22E40 53C35)
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MR2800484 Reviewed Nikolov, N.; Pyber, L. Product decompositions of quasirandom groups and a Jordan type
theorem.
J. Eur. Math. Soc. (JEMS) 13 (2011), no. 4, 1063–1077. (Reviewer: Robert M. Guralnick) 20D60 (20F70)
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MR2807856 Reviewed Nikolov, Nikolay Strong approximation methods.
Lectures on profinite topics in group theory,
63–97, London Math. Soc. Stud. Texts, 77, Cambridge Univ. Press, Cambridge, 2011. (Reviewer: Evgenii L. Bashkirov) 20G15
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MR2797110 Reviewed Klopsch, Benjamin; Nikolov, Nikolay; Voll, Christopher Lectures on profinite topics in group theory.
Lectures from the course on Asymptotic Methods in Infinite Group Theory
held in Oxford, September 2007.
Edited by Dan Segal.
London Mathematical Society Student Texts, 77. Cambridge University Press, Cambridge, 2011. x+147 pp. ISBN: 978-0-521-18301-7 20-06 (20E18 22-06)
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MR2782182 Reviewed Nikolov, Nikolay; Segal, Dan Powers in finite groups.
Groups Geom. Dyn. 5 (2011), no. 2, 501–507. (Reviewer: Martyn Quick) 20E18 (20D25 20F69)
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MR2782170 Reviewed Abért, Miklós; Jaikin-Zapirain, Andrei; Nikolov, Nikolay The rank gradient from a combinatorial viewpoint.
Groups Geom. Dyn. 5 (2011), no. 2, 213–230. (Reviewer: Avinoam Mann) 20F69 (20E06 20E26)
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MR2746060 Reviewed Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner Groups of Lie type as products of ${\rm SL}_2${\rm SL}_2 subgroups.
J. Algebra 326 (2011), 201–207. (Reviewer: Timothy C. Burness) 20D06 (20D40 20G40)
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MR2727665 Reviewed Liebeck, Martin W.; Nikolov, Nikolay; Shalev, Aner A conjecture on product decompositions in simple groups.
Groups Geom. Dyn. 4 (2010), no. 4, 799–812. (Reviewer: Ronald Solomon) 20D05 (20D40 20G40)
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MR2542210 Reviewed Kassabov, Martin; Nikolov, Nikolay Generation of polycyclic groups.
J. Group Theory 12 (2009), no. 4, 567–577. (Reviewer: Werner Nickel) 20F16 (20F05)
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MR2485310 Indexed Babai, László; Nikolov, Nikolay; Pyber, László Product growth and mixing in finite groups.
Proceedings of the Nineteenth Annual ACM-SIAM Symposium on Discrete
Algorithms,
248–257, ACM, New York, 2008. 60B15 (20P05)
More publications
Teaching:
Section C course 'Infinite Groups' in HT 2013.
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