Prof. Nikolay Nikolov | Mathematical Institute

Prof. Nikolay Nikolov

D.Phil 2002, Oxford University

Status:

Academic Faculty

Associate Professor in Pure Mathematics

Contact form

CV (92.85K)

+44 1865 273590

ORCID iD:

https://orcid.org/

Research groups:

Algebra

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted Publications:

AN INFINITE COMPACT HAUSDORFF GROUP HAS UNCOUNTABLY MANY CONJUGACY CLASSES

AN INFINITE COMPACT HAUSDORFF GROUP HAS UNCOUNTABLY MANY CONJUGACY CLASSES
Jaikin-Zapirain, A; Nikolov, N
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY issue 9 volume 147 page 4083-4089 (September 2019) Full text available

RANK, COMBINATORIAL COST, AND HOMOLOGY TORSION GROWTH IN HIGHER RANK LATTICES

RANK, COMBINATORIAL COST, AND HOMOLOGY TORSION GROWTH IN HIGHER RANK LATTICES
Abert, M; Gelander, T; Nikolov, N
DUKE MATHEMATICAL JOURNAL issue 15 volume 166 page 2925-2964 (15 October 2017) Full text available

On the growth of $L^2$-invariants for sequences of lattices in Lie groups

On the growth of $L^2$-invariants for sequences of lattices in Lie groups
Abert, M; Bergeron, N; Biringer, I; Gelander, T; Nikolov, N; Raimbault, J; Samet, I
Annals of Mathematics (12 April 2017) Full text available

On growth of homology torsion in amenable groups

On growth of homology torsion in amenable groups
Kar, A; Kropholler, P; Nikolov, N
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY issue 2 volume 162 page 337-351 (March 2017) Full text available

Rank gradient and cost of Artin groups and their relatives

Rank gradient and cost of Artin groups and their relatives
Kar, A; Nikolov, N
Groups, Geometry, and Dynamics issue 4 volume 8 page 1195-1205 (11 February 2015) Full text available

Recent Publications:

On the growth of L2-invariants of locally symmetric spaces, II: exotic invariant random subgroups in rank one

On the growth of L2-invariants of locally symmetric spaces, II: exotic invariant random subgroups in rank one
Abert, M; Bergeron, N; Biringer, I; Gelander, T; Nikolov, N; Raimbault, J; Samet, I
International Mathematics Research Notices (11 May 2018) Full text available

Some remarks on finitarily approximable groups

Some remarks on finitarily approximable groups
Nikolov, N; Schneider, J; Thom, A
Journal de l'École polytechnique — Mathématiques (16 January 2018) Full text available

Gradients of sequences of subgroups in a direct product

Gradients of sequences of subgroups in a direct product
Nikolov, N; Shemtov, Z; Shusterman, M
International Mathematics Research Notices (9 October 2017) Full text available

A non-LEA sofic group

A non-LEA sofic group
Kar, A; Nikolov, N
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES issue 2 volume 127 page 289-293 (April 2017) Full text available

Verbal width in anabelian groups

Verbal width in anabelian groups
Nikolov, N
Israel Journal of Mathematics (23 November 2016) Full text available

Research interests:

Asymptotic behaviour of invariants of finite or infinite groups, for example expansion, word width, growth of rank or Betti numbers.

Teaching:

Part C: Lie algebras and Non-commutative rings

Prizes, awards, and scholarships:

Whitehead prize of the London Mathematical Society, 2007.

Mathematical Institute

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Status:

ORCID iD:

Research groups:

Address

Highlighted Publications:

Recent Publications:

Research interests:

Teaching:

Prizes, awards, and scholarships:

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Text Resize

Status:

ORCID iD:

Research groups:

Address

Highlighted Publications:

Recent Publications:

Research interests:

Teaching:

Prizes, awards, and scholarships: