Nikita A. Karpenko

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Person:185803

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zbMath Open karpenko.nikita-aMaRDI QIDQ185803

List of research outcomes

PublicationDate of PublicationType
On \(\mathrm{Spin}(2023)\)-torsors2024-04-12Paper
Filtrations on the representation ring of an affine algebraic group2024-01-26Paper
Envelopes and classifying spaces2023-10-17Paper
Indexes of generic Grassmannians for spin groups2023-09-20Paper
On generic flag varieties for odd spin groups2023-07-31Paper
Yagita's counter-examples and beyond2023-05-12Paper
An ultimate proof of Hoffmann-Totaro's conjecture2022-11-17Paper
Poincaré duality for tautological Chern subrings of orthogonal grassmannians2022-08-17Paper
On classifying spaces of spin groups2022-06-17Paper
The Chow ring of the classifying space of the unitary group2022-03-15Paper
Equivariant connective 𝐾-theory2022-01-19Paper
Chow Filtration on Representation Rings of Algebraic Groups2021-09-21Paper
Maximal indexes of flag varieties for spin groups2021-05-14Paper
A remark on connective \(K\)-theory2020-08-25Paper
Extended Petrov-Semenov's connections2020-06-02Paper
A counter-example by Yagita2020-05-28Paper
On the \(K\)-theory coniveau epimorphism for products of Severi-Brauer varieties. With appendices by Eoin Mackall.2019-09-09Paper
On generic quadratic forms2019-01-09Paper
Motivic decomposition of compactifications of certain group varieties2018-12-04Paper
On generic flag varieties of \(\mathrm{Spin}(11)\) and \(\mathrm{Spin}(12)\)2018-09-14Paper
On generically split generic flag varieties2018-07-04Paper
Chow ring of generic flag varieties2017-12-15Paper
Around 16-dimensional quadratic forms in \(I^3_q\)2017-02-16Paper
Chow groups of some generically twisted flag varieties2017-01-12Paper
Incompressible Grassmannians of isotropic subspaces2017-01-12Paper
Chow ring of generically twisted varieties of complete flags2016-12-19Paper
Incompressibility of Products of Pseudo-homogeneous Varieties2016-12-14Paper
Minimal canonical dimensions of quadratic forms2016-04-22Paper
Unitary Grassmannians of division algebras2016-04-04Paper
A numerical invariant for linear representations of finite groups2015-11-30Paper
Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties2015-04-02Paper
Incompressibility of generic torsors of norm tori2015-02-17Paper
Hermitian forms over quaternion algebras2015-02-06Paper
Isotropy of unitary involutions2014-01-15Paper
https://portal.mardi4nfdi.de/entity/Q28608522013-11-11Paper
Variations on a theme of rationality of cycles2013-07-05Paper
Sufficiently generic orthogonal Grassmannians2013-06-24Paper
Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties2013-05-13Paper
On standard norm varieties2013-04-26Paper
Unitary Grassmannians2013-03-06Paper
Isotropy of orthogonal involutions2013-02-27Paper
Isotropy of unitary involutions2013-01-28Paper
Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties2012-01-09Paper
Incompressibility of orthogonal Grassmannians2011-12-07Paper
https://portal.mardi4nfdi.de/entity/Q30965942011-11-11Paper
Upper Motives of Outer Algebraic Groups2011-05-31Paper
Rational surfaces and the canonical dimension of $\operatorname {\mathbf {PGL}}_6$2011-03-02Paper
Hyperbolicity of orthogonal involutions2010-12-16Paper
Isotropy of symplectic involutions.2010-12-14Paper
https://portal.mardi4nfdi.de/entity/Q58526252010-01-27Paper
Canonical dimension of (semi-)spinor groups of small ranks2008-12-10Paper
https://portal.mardi4nfdi.de/entity/Q35160732008-08-01Paper
https://portal.mardi4nfdi.de/entity/Q35140502008-07-21Paper
Essential dimension of finite \(p\)-groups.2008-05-27Paper
https://portal.mardi4nfdi.de/entity/Q54521022008-03-28Paper
The minimal height of quadratic forms of given dimension2007-02-14Paper
Canonical dimension of orthogonal groups2006-10-11Paper
Canonical \(p\)-dimension of algebraic groups2006-09-25Paper
https://portal.mardi4nfdi.de/entity/Q54832722006-08-16Paper
A bound for canonical dimension of the (semi)spinor groups2006-07-25Paper
Holes in InIn2005-06-10Paper
https://portal.mardi4nfdi.de/entity/Q46650122005-04-09Paper
https://portal.mardi4nfdi.de/entity/Q44664992004-06-08Paper
https://portal.mardi4nfdi.de/entity/Q44665022004-06-08Paper
Rost projectors and Steenrod operations2004-02-19Paper
Essential dimension of quadrics2003-11-04Paper
On the first Witt index of quadratic forms2003-11-04Paper
Characterization of minimal Pfister neighbors via Rost projectors2002-01-29Paper
Weil transfer of algebraic cycles.2001-06-28Paper
A criterion of decomposability for degree \(4\) algebras with unitary involution2001-04-02Paper
https://portal.mardi4nfdi.de/entity/Q44887122001-03-27Paper
https://portal.mardi4nfdi.de/entity/Q45234502001-01-11Paper
Criteria of motivic equivalence for quadratic forms and central simple algebras2000-11-27Paper
Some new examples in the theory of quadratic forms2000-11-20Paper
Three theorems on common splitting fields of central simple algebras2000-05-07Paper
Isotropy of Virtual Albert Forms over Function Fields of Quadrics2000-02-15Paper
Generic splitting fields of central simple algebras: Galois cohomology and nonexcellence1999-12-12Paper
Isotropy of 8-dimensional quadratic forms over function fields of quadrics1999-07-20Paper
Isotropy of six-dimensional quadratic forms over function fields of quadrics1999-03-28Paper
https://portal.mardi4nfdi.de/entity/Q31294001998-12-10Paper
Codimension 2 cycles on Severi-Brauer varieties1998-09-27Paper
On the group \(H^3(F(\psi, D)/F)\)1998-04-14Paper
https://portal.mardi4nfdi.de/entity/Q48804561997-12-08Paper
https://portal.mardi4nfdi.de/entity/Q43359901997-05-05Paper
https://portal.mardi4nfdi.de/entity/Q48702491997-03-11Paper
Order of torsion in \(CH^ 4\) of quadrics1996-07-07Paper
Torsion in \(\text{CH}^ 2\) of Severi-Brauer varieties and indecomposability of generic algebras1996-06-05Paper
https://portal.mardi4nfdi.de/entity/Q46986451996-02-20Paper
Cycles of codimension 3 on a projective quadric1992-06-27Paper
https://portal.mardi4nfdi.de/entity/Q39740221992-06-26Paper
https://portal.mardi4nfdi.de/entity/Q47110421992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q47119431992-06-25Paper
https://portal.mardi4nfdi.de/entity/Q33638011991-01-01Paper

Research outcomes over time


Doctoral students

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