Niels Kowalzig <niels.kowalzig::uniroma2.it>

Research interests

  • Homological algebra, operads, noncommutative geometry
  • Hopf algebr[a/oid]s, quantum group[oid]s, cyclic homology
  • Lie-Rinehart algebras, (étale) groupoids
  • Poisson geometry, (deformation) quantisation.

  • Research

  • Brackets and products from centres in extension categories (jointly with D. Fiorenza), preprint 2021, arXiv:2112.11552
  • Centres, traces, and cyclic cohomology, preprint 2020, arXiv:2012.13790
  • A noncommutative calculus on the cyclic dual of Ext, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) XXIII (2022), 177–221; arXiv:1912.08145
  • Cyclic Gerstenhaber-Schack cohomology (jointly with D. Fiorenza), J. Noncomm. Geom. 16 (2022), no. 1, 119–151; arXiv:1812.10447
  • Higher brackets on cyclic and negative cyclic (co)homology (jointly with D. Fiorenza), Int. Math. Res. Not. 2020 (2020), no. 23, 9148–9209; arXiv:1712.09717
  • When Ext is a Batalin-Vilkovisky algebra, J. Noncomm. Geom. 12 (2018), no. 3, 1081–1131; arXiv:1610.01229
  • Morita theory for Hopf algebroids, principal bibundles, and weak equivalences (jointly with L. El Kaoutit), Documenta Math. 22 (2017), 551–609; arXiv:1407.7461
  • Duality features of left Hopf algebroids (jointly with S. Chemla and F. Gavarini), Algebr. Represent. Theory 19 (2016), no. 4, 913–941; arXiv:1407.7112
  • Cyclic homology arising from adjunctions (jointly with U. Krähmer and P. Slevin), Theor. and Appl. of Categories 30 (2015), 1067–1095; arXiv:1504.07434
  • Gerstenhaber and Batalin-Vilkovisky structures on modules over operads, Int. Math. Res. Not. 2015 (2015), no. 22, 11694–11744; arXiv:1312.1642
  • Batalin-Vilkovisky Algebra Structures on (Co)Tor and Poisson Bialgebroids, J. Pure Appl. Algebr. 219 (2015), 3781–3822; arXiv:1305.2992
  • Noncommutative differential calculi, in: Batalin-Vilkovisky Algebras, Operads, and Hopf Algebroids, Oberwolfach Reports 11 (2014), no. 1, 613–615; doi:10.4171/OWR/2014/11
  • Batalin-Vilkovisky Structures on Ext and Tor (jointly with U. Krähmer), J. Reine Angew. Math. 697 (2014), 159–219; arXiv:1203.4984
  • Morita Base Change in Hopf-Cyclic (Co)Homology (jointly with L. El Kaoutit), Lett. Math. Phys. 103 (2013), no. 6, 665–699; arXiv:1111.3890
  • Cyclic Structures in Algebraic (Co)Homology Theories (jointly with U. Krähmer), Homology, Homotopy and Applications 13 (2011), no. 1, 297–318; arXiv:1011.3471
  • The Cyclic Theory of Hopf Algebroids (jointly with H. Posthuma), J. Noncomm. Geom. 5 (2011), no. 3, 423–476; arXiv:0904.4736
  • Duality and Products in Algebraic (Co)Homology Theories (jointly with U. Krähmer), Journal of Algebra 323 (2010), no. 7, 2063–2081; arXiv:0812.4312
  • Hopf Algebroids and Their Cyclic Theory, Ph. D. Thesis, 2009; pdf
  • Phase Space Reduction of Star Products on Cotangent Bundles (jointly with N. Neumaier and M. Pflaum), Annales Henri Poincaré 6 (2005), 485–552; arXiv:math/0403239

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