PREPRINTS & PUBLICATIONS

 

Uniform Exponential Growth in CAT(0) cubical groups, with M. Sageev, submitted.

 

On growth of homology torsion in amenable groups, with P.H. Kropholler and N. Nikolov, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 162, Issue 2, 2017.

 

A non-LEA Sofic group, with N. Nikolov, Mathematical Proceedings of the Indian Academy of Sciences, Volume 127, Issue 2, 2017.

 

Ping Pong on CAT(0) cube complexes, with M. Sageev, Commentarii Mathematici Helvetici, Volume 91, Issue 3, 2016.

 

Rigidity of Almost-Isometric Universal Covers, with J.F. Lafont and B. Schmidt, Indiana University Mathematics Journal, Volume 65, Issue 2, 2016.

 

On Deficiency Gradients of Groups, with N. Nikolov, International Mathematics Research Notices, 2015.

 

Rank gradient and cost for Artin groups and their relatives, with N. Nikolov, Groups Geometry and Dynamics, Volume 8, Issue 4, 2014.

 

A topological splitting theorem for Poincare duality groups and high-dimensional manifolds, with G.A. Niblo, Geometry and Topology, Volume 17, Issue 4, 2013.

 

One relator quotients of Graph Products, with Y. Antolin, International Journal of Algebra and Computation, Volume 23, Issue 5, 2013.

 

Some non-amenable groups, with G.A. Niblo, Publicacions Matematiques, Volume 56, Issue 1, 2012.

 

Relative Ends, L2-invariants and Property (T), with G.A. Niblo, Journal of Algebra, Volume 333, Issue 1, 2011.

 

On Property (FA) for Wreath Products, with Y. Cornulier, Journal of Group Theory, Volume 14, Issue, 2011.

 

Asymptotically CAT(0) Groups, Publicacions Matematiques, Volume 55, Issue 1, 2011.

 

 

SURVEYS AND DISSERTATIONS

 

Notes for first Undergraduate course in Group Theory, taught at RHUL, 2017.

 

Notes from Graduate Course in Geometric Group Theory, Southampton, 2015-16.

 

Notes from Oxford Algebra Advanced Class: L2-Betti Numbers, Amenable and Sofic Groups, 2011-2014.

 

Splitting groups over closed subgroups, expository article, 2011.

 

Discrete Groups and CAT(0) Asymptotic Cones, Doctoral dissertation, Ohio State University, December 2008; Adviser: Indira Chatterji. 

 

Weyl's Equidistribution Theorem, Resonance, Journal of Indian Academy of Sciences, Springer India, 2003.