Prof. Dr. Kirill Zainoulline

Profile

Academic positionFull Professor
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry
Keywordsequivariant oriented cohomology, group actions, homogeneous spaces, torsors, twisted flag varieties, linear algebraic groups, algebraic cycles, motives

Current contact address

CountryCanada
CityOttawa
InstitutionUniversity of Ottawa
InstituteDepartment of Mathematics and Statistics
Homepagehttp://mysite.science.uottawa.ca/kzaynull/

Host during sponsorship

Prof. Dr. Ulf RehmannFakultät für Mathematik, Algebra, Universität Bielefeld, Bielefeld
Start of initial sponsorship01/03/2004

Programme(s)

2003Humboldt Research Fellowship Programme

Publications (partial selection)

2016Baptiste Calmes, Kirill Zainoulline, Changlong Zhong: A coproduct structure on the formal affine Demazure algebra. In: Mathematische Zeitschrift, 2016, 1191-1218
2016Baptiste Calmes, Kirill Zainoulline, Changlong Zhong: Equivariant oriented cohomology of flag varieties. In: Documenta Mathematica. Extra Volume: Alexander S. Merkurjev's Sixtieth Birthday, 2016, 113-144
2015Alexander Merkurjev, Alexander Neshitov, Kirill Zainoulline: Cohomological Invariants in degree 3 and torsion in the Chow group of a versal flag. In: Compositio Mathematica, 2015, 1416-1432
2014Alex Hoffnung, Jose Malagon-Lopez, Alistair Savage, Kirill Zainoulline: Formal Hecke algebras and algebraic oriented cohomology theories. In: Selecta Math., 2014, 1213-1245
2014Jose Malagon-Lopez, Kirill Zainoulline, Changlong Zhong: Invariants, exponents and formal group laws. In: J. of Algebra, 2014, 244-264
2014Skip Garibaldi, Kirill Zainoulline: The gamma-filtration and the Rost invariant. In: J. Reine und Angew. Math., 2014, 225-244
2013Alexey Ananyevskiy, Asher Auel, Skip Garibaldi, Kirill Zainoulline: Exceptional collections of line bundles on projective homogeneous varieties. In: Advances in Math., 2013, 111-130
2013Baptiste Calmes, Victor Petrov, Kirill Zainoulline: Invariants, torsion indices and cohomology of complete flags. In: Ann. Sci. Ecole Norm. Sup. (4), 2013, 405-448
2013Sanghoon Baek, Kirill Zainoulline, Changlong Zhong: On the torsion of Chow groups of twisted Spin-flags. In: Math. Research Letters, 2013, 601-614
2012Sanghoon Baek, Erhard Neher, Kirill Zainoulline: Basic polynomial invariants, fundamental representations and the Chern class map. In: Documenta Math., 2012, 135-150
2012Stefan Gille, Kirill Zainoulline: Equivariant pretheories and invariants of torsors. In: Transf. Groups, 2012, 471-498
2012Anne Queguiner-Mathieu, Nikita Semenov, Kirill Zainoulline: The J-invariant, Tits algebras and Triality. In: J. of Pure and Applied Algebra, 2012, 2614-2628
2012Kirill Zainoulline: Twisted gamma-filtration of a linear algebraic group. In: Compositio Math., 2012, 1645-1654
2010Kirill Zainoulline: Degree formula for connective K-theory. In: Inventiones Math., 2010, 507-522
2010Nikita Semenov, Kirill Zainoulline: Essential dimension of Hermitian spaces. In: Math. Annalen, 2010, 499-503
2009Ivan Panin, Kirill Zainoulline: Gersten resolution with support. In: Manuscripta Math., 2009, 443-452
2009Sergei Nikolenko, Nikita Semenov, Kirill Zainoulline: Motivic decompositions of anisotropic varieties of type F4 into generalized Rost motives. In: J. of K-theory, 2009, 85-102
2009Kirill Zainoulline: Special correspondences and Chow traces of Landweber-Novikov operations. In: J. Reine und Angew. Math., 2009, 195-204
2008Victor Petrov, Nikita Semenov, Kirill Zainoulline: J-invariant of linear algebraic groups. In: Ann. Sci. Ecole Norm. Sup. (4), 2008, 1023-1053
2008Alexander Vishik, Kirill Zainoulline: Motivic Splitting Lemma. In: Documenta Math., 2008, 81-96
2008Victor Petrov, Nikita Semenov, Kirill Zainoulline: Zero-cycles on a twisted Cayley plane. In: Canadian Math. Bull., 2008, 114-124
2007Nikita Semenov, Kirill Zainoulline: A classification of projective homogeneous varieties up to motivic isomorphism. In: J. Math. Sciences, 2007, 692-698
2007Kirill Zainoulline: Canonical p-dimensions of algebraic groups and degrees of basic polynomial invariants. In: London Math. Bull., 2007, 301-304
2006Baptiste Calmes, Victor Petrov, Nikita Semenov, Kirill Zainoulline: Chow motives of twisted flag varieties. In: Compositio Math., 2006, 1063-1080
2006Alexander Nenashev, Kirill Zainoulline: Oriented cohomology and motivic decompositions of relative cellular spaces.. In: J. of Pure and Applied Algebra, 2006, 323-340
2005Kirill Zainoulline: On Knebusch's Norm Principle for quadratic forms over semi-local rings.. In: Math. Zeitschrift, 2005, 415-425
2004Manuel Ojanguren, Ivan Panin, Kirill Zainoulline: On the norm principle for quadratic forms. In: J. of Ramanujan Math. Soc., 2004, 1-12
2003Alexander Schmidt, Kirill Zainoulline: Generic injectivity for etale cohomology and pretheories.. In: J. of Algebra, 2003, 215-227
2003Ivan Panin, Kirill Zainoulline: Variations on the Bloch-Ogus Theorem.. In: Documenta Math., 2003, 51-67
2001Kirill Zainoulline: On Grothendieck's conjecture about principal homogeneous spaces for some classical algebraic groups.. In: St. Petersburg Math. J., 2001, 117-143
2001Kirill Zainoulline: The Purity Theorem for functors with transfers.. In: K-Theory J., 2001, 303-333