Preprints & Publications

• Kloosterman sums over finite Frobenius rings
  Preprint (2019)   pdf
  
  
• Cut ratios and Laplacian eigenvalues
  Linear Algebra and its Applications (to appear)   pdf
  
  
• A note on normalized heat diffusion for graphs
  Bulletin of the Australian Mathematical Society (to appear)   pdf
  
  
• A relative bound for independence  
  Discrete Mathematics (2019)   arXiv
  
  
• Two applications of strong hyperbolicity
  Kyoto Journal of Mathematics (2019)   arXiv
  
  
• K-homological finiteness and hyperbolic groups (with Heath Emerson)
  Crelle's Journal fuer die reine und angewandte Mathematik (2018)   arXiv
  
  
• On bounded elementary generation for SLn over polynomial rings
  Israel Journal of Mathematics (2018)   arXiv
  
  
• Three theorems on linear groups
  Appendix to the book "Geometric Group Theory" by C. Drutu and M. Kapovich
  Colloquium Publications, American Mathematical Society (2018)    link   pdf
  
  
• On operator norms for hyperbolic groups
  Journal of Topology and Analysis (2017)   arXiv
  
  
• Unimodular graphs and Eisenstein sums
  Journal of Algebraic Combinatorics (2017)   arXiv
  
  
• Strong hyperbolicity (with Jan Spakula)
  Groups, Geometry, and Dynamics (2016)   arXiv
  
  
• A true relative of Suslin's normality theorem
  L'Enseignement Mathematique (2015)   arXiv
  
  
• Linear groups - Malcev's theorem and Selberg's lemma
  Preprint (2013)   arXiv
  
  
• Proper isometric actions of hyperbolic groups on Lp-spaces
  Compositio Mathematica (2013)   arXiv
  
  
• The Mazur - Ulam theorem
  Expositiones Mathematicae (2012)   arXiv
  
  
• Finitely summable Fredholm modules for boundary actions of hyperbolic groups (with Heath Emerson)
  Preprint (2012)   arXiv
  
  
• Homotopical stable ranks for Banach algebras
  Journal of Functional Analysis (2011)   arXiv
  
  
• Spectral morphisms, K-theory, and stable ranks
  in "Perspectives on Noncommutative Geometry", edited by M. Khalkhali and G. Yu
  Fields Institute Communications, American Mathematical Society (2011)   arXiv
  
  
• The unreasonable slightness of E2 over imaginary quadratic rings
  American Mathematical Monthly (2011)   pdf
  
  
• On the degree of rapid decay
  Proceedings of the American Mathematical Society (2010)   arXiv
  
  
• Relatively spectral morphisms and applications to K-theory
  Journal of Functional Analysis (2008)   arXiv
  
  
• Group actions on median spaces
  Preprint (2008)   arXiv
  
  
• Cubulating spaces with walls
  Algebraic and Geometric Topology (2004)   arXiv

Books

• A brief introduction to spectral graph theory
  Textbooks in Mathematics, European Mathematical Society (2018)   link   arXiv

Miscellanea

• Enhanced hyperbolicity   Oberwolfach Reports (2015)   pdf
  
• Fredholm modules and boundary actions of hyperbolic groups   Oberwolfach Reports (2011)   pdf
  
• Group quasimorphisms   Notes for a seminar talk, Vanderbilt University (2006, revised 2008)   pdf
  
• Zeta(3)   Number theory project, McGill University (2002, revised 2009)   pdf