Piotr Nowak

Piotr_W_Nowak.html
 

Aut(F_5) has property (T)  [ article on arXiv | code on zenodo ]

with Marek Kaluba and Narutaka Ozawa


  

  1. >Talk at the Fields Institute  [ link to video ]


  1. >Aut(F_5) has property (T)

  2. Extended abstract for Oberwolfach Reports [ pdf ]



On complements of Kazhdan projections in semisimple groups  [ arXiv ]

with Eric Reckwerdt

Studia Mathematica, to appear



Certifying numerical estimates of spectral gaps 

with Marek Kaluba

Groups Complexity Cryptology, Volume 10 (2018), Issue 1, Pages 33--41  [ arXiv | journal ]



Kazhdan projections, random walks and ergodic theorems

with Cornelia Druţu

Journal für die reine und angewandte Mathematik (Crelle’s Journal), to appear, published online. [ arXiv | journal ]



  1. >Kazhdan projections in Banach spaces

  2. Extended abstract in: Oberwolfach Reports Vol. 12, Issue 1, (2015) 187--233  [ pdf | journal ]



Group 1-cohomology is complemented

Bulletin of the London Mathematical Society 49 (2017), no. 2, 216--219. [ arXiv | journal ]



Warped cones and spectral gaps 

with Damian Sawicki

Proceedings of the American Mathematical Society 145 (2017), no. 2, 817--823  [ arXiv | journal ]



Eilenberg swindles and higher large scale homology of products of trees    

with Francesca Diana

Groups, Geometry & Dynamics 11 (2017), no. 1, pp. 371--392  [ arXiv | journal ]



Poincaré inequalities and rigidity for actions on Banach spaces

Journal of the European Mathematical Society (JEMS) 17 (2015), no. 3, 689--709  [ pdf | journal ]



Group Actions on Banach Spaces

In: Handbook of Group Actions, vol. II, 121--149. Edited by L. Ji, A. Papadopoulos, S.-T. Yau.

Advanced Lectures in Mathematics (ALM) 32, International Press, Somerville; Higher Education Press, Beijing, 2015  [ pdf | arXiv | publisher ]



Cohomology of deformations 

with Uri Bader

Journal of Topology and Analysis 7 (2015), no. 1, 81--104  [ pdf | journal ]



Aperiodic tilings of manifolds of intermediate growth

with Michał Marcinkowski

Groups, Geometry & Dynamics 8 (2014), no. 2, 479--483.  [ pdf | journal ]



Uniformly bounded representations and exact groups 

with Kate Juschenko

Journal of Functional Analysis 266 (2014), no. 3, 1667--1673. [ pdf | journal ]



Large Scale Geometry

Book written jointly with Guoliang Yu

EMS Textbooks in Mathematics, European Mathematical Society Publishing House, 2012.



Amenable actions, invariant means and bounded cohomology

with Jacek Brodzki, Graham A. Niblo and Nick Wright

Journal of Topology and Analysis 4 (2012), no. 3, 321--334.  [ pdf | journal ]



A homological characterization of topological amenability

with Jacek Brodzki, Graham A. Niblo and Nick Wright

Algebraic & Geometric Topology 12 (2012), no. 3, 1767--1780.  [ pdf | journal ]



Every finitely generated group is weakly exact

with Ronald G. Douglas

Journal of Functional Analysis 261 (2011), no. 12, 3723--3734.  [ pdf | journal ]



Diameters, distortion and eigenvalues

with Rostislav I. Grigorchuk

European Journal of Combinatorics 33 (2012), no. 7, 1574--1587.  [ pdf | journal ]



Residually finite actions and crossed products

with David Kerr

Ergodic Theory and Dynamical Systems, 32 (2012), no. 05, 1585-1614.  [ pdf | journal ]



Invariant expectations and vanishing of bounded cohomology for exact groups

with Ronald G. Douglas

Journal of Topology and Analysis 3 (2011), no. 1, 89--107.  [ pdf | journal ]



Hilbert C*-modules and amenable actions

with Ronald G. Douglas

Studia Mathematica 199 (2010), no. 2, 185--197.  [ pdf | journal ]



Controlled coarse homology and isoperimetric inequalities

with Ján Špakula

Journal of Topology 3 (2010), no. 2, 443--462.  [ pdf | journal ]



Zero-in-the-spectrum conjecture on regular covers of compact manifolds

Commentarii Mathematici Helvetici 84 (2009), no. 1, 213--222.  [ pdf | journal ]



Isoperimetry of group actions

Advances in Mathematics 219 (2008), no. 1, 1--26.  [ pdf | journal ]



What is... Property A?

with Guoliang Yu

Notices of the American Mathematical Society 55 (2008), no. 4, 474--475.  [ journal ]



Coarsely embeddable metric spaces without property A

Journal of Functional Analysis 252 (2007), no. 1, 126--136.  [ pdf | journal ]



On exactness and isoperimetric profiles of discrete groups

Journal of Functional Analysis 243 (2007), no. 1, 323--344.  [ pdf | journal ]



On coarse embeddability into lp-spaces and a conjecture of Dranishnikov

Fundamenta Mathematicae 189 (2006), no. 2, 111--116.  [ pdf | journal ]



Group actions on Banach spaces and a geometric characterization of a-T-menability.

Topology and its Applications 153 (2006), no. 18, 3409--3412.  [ pdf | journal | corrected version ]



Coarse embeddings of metric spaces into Banach spaces

Proceedings of the American Mathematical Society 133 (2005), no. 9, 2589--2596.  [ pdf | journal ]









Geometric induction in equivariant KK-theory  [ pdf ]

not for publication



On the lp-cohomology of groups with infinite center  [ pdf ]

unpublished



Geometria Dużej Skali  [ pdf ]

Skrypt dla Środowiskowych Studiów z Nauk Matematycznych




My Erdös number is 3.



Publications and preprints

     Varia

I am interested primarily in geometric and analytic group theory and their intersection with index theory, non-commutative geometry and topology of manifolds.