Research papers
Research papers
The geometry of synchronisation problems and learning group actions,
with Tingran Gao and Sayan Mukherjee, submitted
A differential complex for CAT(0) cubical complexes,
with Erik Guentner and Nigel Higson, submitted.
Exactness of locally compact groups,
with Chris Cave and Kang Li, Advances in Mathematics 312 (2017) 209-233
The periodic cyclic homology of crossed products of finite type algebras,
with Shantanu Dave and Victor Nistor, Advances in Mathematics 306 (2017) 494–523
The local spectrum of the Dirac operator for the universal cover of SL_2(R),
with Graham Niblo, Roger Plymen, Nick Wright, J. of Funct. Anal., 270 (2016) 957-975.
K-theory and exact sequences of partial translation algebras
with Graham A Niblo, Nick Wright; Advances in Mathematics 273 (2015) 287–323
Quantifying the cumulative effect of low-penetrance genetic variants on breast cancer risk
with C. Smyth, D Eccles, et al, Molecular Genetics and Genomic Medicine, Jan 2015.
Constrained spectral clustering-based methodology for intentional controlled islanding
with R Sanchez-Garcia et al, IET Generation, Transmission & Distribution, (2014), doi: 10.1049/iet-gtd.2014.0228
Hierarchical Spectral Clustering of Power Grids,
with Ruben Sanchez-Garcia, Max Fennelly, Janusz Bialek; IEEE Trans on Power Systems, Vol 29, No 5, Sep 2014. DoI 10.1109/TPWRS.2014.2306756
Cyclic cohomology after the excision theorem of Cuntz and Quillen,
J.K-Theory 11 (2013), no. 3, 575–598.
with Jan Špakula, Graham Niblo, Rufus Willett, and Nick Wright, J. Noncommut. Geom. 7 (2013), no. 2, 583–603.
A homological characterization of topological amenability
with Graham Niblo, Piotr Nowak and Nick Wright, Algebraic & Geometric Topology 12 (2012) 1763-1776.
Amenable actions, invariant means and bounded cohomology,
with Graham Niblo, Piotr Nowak and Nick Wright, Journal of Topology and Analysis 4 (2012) 321-334.
Pairings, duality, amenability and bounded cohomology,
with Graham Niblo and Nick Wright. Journal of the European Math. Soc. (JEMS), 14 (2012), 1513-1518.
A cohomological characterisation of Yu’s property A for metric spaces
with Graham Niblo and Nick Wright, Geometry and Topology 16 (2012) 391-432.
Partial translation algebras for trees,
with Graham Niblo and Nick Wright, Journal of Noncommutative geometry, 2 (2009) 83-98.
Property A and CAT(0) cube complexes
with Sarah Campbell, Erik Guentner, Graham Niblo and Nick Wright, J.Funct. Anal. 256 (2009), no. 5, 1408-1431.
Non-commutative correspondences, duality and D-branes in bivariant K-theory,
with Varghese Mathai, Jonathan Rosenberg, and Richard Szabo, Adv. Theor. Math. Phys. 13 (2009) 497-552.
D-branes, KK-theory and duality on noncommutative space,
with V. Mathai, J. Rosenberg and R. Szabo, Journal of Physics Conference Series, 103 (2008) 012004.
D-branes, RR-fields and duality on noncommutative manifolds
with V. Mathai, J. Rosenberg and R. Szabo; Comm. Math. Phys. 277 (2008), 643-706.
Property A, partial translation structures, and uniform embeddings in groups, with G.A. Niblo and N.J. Wright; J. Lond.Math. Soc. 76 (2007), 479-497.
Property A and exactness of the uniform Roe algebra,
with G.A. Niblo and N.J. Wright, L'Einseignement Math., 54 (2008) 50-52
Approximation properties for discrete groups,
with G.A. Niblo,C*-algebras and elliptic theory, Trends in Mathematics, Birkhauser (2006) pp 23-35.
Entire cyclic cohomology of Schatten ideals,
with Roger Plymen, Homotopy, Homology and Applications, vol. 7, No. 3, 2005, 37-50.
Cyclic homology and pseudodifferential operators, a survey,
with Moulay-Tahar Benameur and Victor Nistor, Operator Theory, Advances and Applications, Vol. 151, (2004), p. 239-265.
Complex Structure on the smooth dual of GL(n),
with Roger Plymen, Documenta Mathematica 7 (2002) 91-112.
Chern character for the Schwartz algebra of p-adic GL(n),
with Roger Plymen, Bulletin of the LMS, 34, (2002) 219-228.
Excision in cyclic type homology of Frechet algebras,
with Zinaida Lykova, Bull. London Math. Soc. 33 (2001), no. 3, 283--291.
Geometry of the smooth dual of GL(n),
with Roger Plymen, C. R. Acad. Sci. Paris, t. 331, Serie 1, p. 213-218, 2000.
Periodic cyclic homology of certain nuclear algebras,
with R. Plymen, Comptes Rend. Acad. Sci. Paris, v. 329, Serie I, p.671-676, 1999.
Moebius Transformations in Noncommutative Conformal Geometry,
with Peter Bongaarts, Comm.Math.Phys. 201 (1999) 35-60.
An Introduction to K-theory and Cyclic Homology,
Polish Scientific Publishers (PWN), Warsaw 1998.
Cyclic Cohomology, Supertraces and Index Theory,
Expo. Mathem. 15 (1997), 1-24.
Simplicial Normalization in the Entire Cyclic Cohomology of Banach Algebras;
K-theory, 9 (1995), 353-377.
Polarized Modules and Fredholm modules,
with Alain Connes and David Ellwood; Matem. fizika, Analiz, Geometria, 2 (1995), pp. 15-24.
The GNS algebra and Fredholm modules,
Comm. in Algebra 24 (1995) 1527-1543.
Binomial identities in the Cuntz algebra of complex numbers,
Expo. Mathem. 12 (1994) 463-471.
Semi-direct products, derivations and reduced cyclic cohomology,
J reine angew. Math., 436 (1993), 177--195.
Fermat's last theorem
(in Polish), Wiedza i Zycie, October 1993.
Lie cochains on an algebra,
in: Mathematics, Particle Physics Interface, eds. D. Quillen, G. Segal, Tsou S.T., OUP 1990.