Edit Profile (opens in new tab) Merkur’ev, Aleksandr Sergeevich Co-Author Distance Author ID: merkurjev.alexander-s Published as: Merkur’ev, A. S.; Merkurjev, Alexander S.; Merkurjev, Alexander; Merkurjev, A. S.; Merkurjev, A.; Merkurjev, Alexandr more...less Further Spellings: Merkurjev, Alexander Sergeevich; Merkurjev, Sascha Homepage: http://www.math.ucla.edu/~merkurev/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 147 Publications since 1977, including 3 Books and 4 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 64 Co-Authors with 73 Joint Publications 1,320 Co-Co-Authors all top 5 Co-Authors 80 single-authored 16 Karpenko, Nikita Aleksandrovich 11 Suslin, Andreĭ Aleksandrovich 8 Chernousov, Vladimir I. 8 Tignol, Jean-Pierre 7 Panin, Ivan A. 4 Scavia, Federico 3 Friedlander, Eric Mark 3 Hoffmann, Detlev W. 3 Ivanov, Oleg A. 2 Baek, Sanghoon 2 Beilinson, Alexander A. 2 Bekker, Boris Mikhaĭlovich 2 Generalov, Aleksandr Ivanovich 2 Gherman, Matthew 2 Gordeev, Nikolai L. 2 Lur’e, Boris Beniaminovich 2 Parimala, Raman 2 Vavilov, Nikolaĭ Aleksandrovich 2 Vishik, Alexander 2 Vostokov, Sergeĭ Vladimirovich 2 Wadsworth, Adrian R. 1 Barquero, Pedro B. 1 Bhaskhar, Nivedita 1 Blinstein, Sam 1 Bolibrukh, Andreĭ Andreevich 1 Bondarko, Mikhail Vladimirovich 1 Colliot-Thélène, Jean-Louis 1 Devyatov, Rostislav A. 1 Dybkova, E. V. 1 Elman, Richard S. 1 Fesenko, Ivan Borisovich 1 Garibaldi, Ryan Skip 1 Garibaldi, Skip 1 Gille, Stefan G. 1 Hasemeyer, Christian 1 Haution, Olivier 1 Ishkanov, V. V. 1 Kazhdan, David 1 Knus, Max-Albert 1 Koldobsky, Alexander L. 1 Laackman, Donald 1 Leep, David B. 1 Leonov, Gennadiĭ Alekseevich 1 Levine, Marc Noel 1 Mammone, Pasquale 1 Matiyasevich, Yuriĭ Vladimirovich 1 Neshitov, Alexander 1 Netsvetaev, Nikita Yu. 1 Orlov, Dmitri O. 1 Rehmann, Ulf 1 Rost, Markus 1 Semenov, Alexey A. 1 Serre, Jean-Pierre 1 Shabat, Georgiĭ Borisovich 1 Skopin, A. I. 1 Soulé, Christophe 1 Tits, Jacques 1 Tyurin, Nikolaĭ Andreevich 1 Vsemirnov, Maxim 1 Weibel, Charles A. 1 Wertheim, Alexander H. 1 Yagunov, Serge 1 Yaskin, Vladyslav 1 Zainoulline, Kirill 1 Zhukov, Igor’ Borisovich all top 5 Serials 7 Mathematics of the USSR. Izvestiya 6 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 6 Algebra & Number Theory 5 \(K\)-Theory 5 St. Petersburg Mathematical Journal 4 Advances in Mathematics 4 Journal of Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Journal of Soviet Mathematics 4 Soviet Mathematics. Doklady 4 Vestnik St. Petersburg University. Mathematics 3 Compositio Mathematica 3 Journal of Pure and Applied Algebra 3 Documenta Mathematica 3 Transformation Groups 3 Oberwolfach Reports 3 Proceedings of the Steklov Institute of Mathematics 3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Commentarii Mathematici Helvetici 2 Inventiones Mathematicae 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Transactions of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Mathematics of the USSR, Sbornik 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Mathematical Sciences (New York) 2 Colloquium Publications. American Mathematical Society 1 American Mathematical Monthly 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Acta Mathematica 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of the Ramanujan Mathematical Society 1 Leningrad Mathematical Journal 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Vestnik Leningrad University. Mathematics 1 Notices of the American Mathematical Society 1 Journal of Algebraic Geometry 1 Nova Journal of Algebra and Geometry 1 Rapport. Séminaire de Mathématique. Nouvelle Série 1 Izvestiya: Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 University Lecture Series 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Translations. Series 2. American Mathematical Society 1 Documenta Mathematica Series all top 5 Fields 93 Algebraic geometry (14-XX) 62 Number theory (11-XX) 55 Group theory and generalizations (20-XX) 51 Field theory and polynomials (12-XX) 46 \(K\)-theory (19-XX) 39 Associative rings and algebras (16-XX) 20 Category theory; homological algebra (18-XX) 14 Commutative algebra (13-XX) 9 Algebraic topology (55-XX) 7 History and biography (01-XX) 6 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,804 times in 1,079 Documents Cited by ▼ Year ▼ The book of involutions. With a preface by J. Tits. Zbl 0955.16001 Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre 350 1998 The algebraic and geometric theory of quadratic forms. Zbl 1165.11042 Elman, Richard; Karpenko, Nikita; Merkurjev, Alexander 228 2008 Cohomological invariants in Galois cohomology. Zbl 1159.12311 Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 154 2003 \(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism. Zbl 0525.18008 Merkur’ev, A. S.; Suslin, A. A. 99 1983 Essential dimension of finite \(p\)-groups. Zbl 1200.12002 Karpenko, Nikita A.; Merkurjev, Alexander S. 40 2008 Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 39 1996 Motivic decomposition of isotropic projective homogeneous varieties. Zbl 1086.14041 Chernousov, Vladimir; Gille, Stefan; Merkurjev, Alexander 38 2005 On the norm residue symbol of degree 2. Zbl 0496.16020 Merkur’ev, A. S. 34 1981 The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015 Merkurjev, A. S.; Tignol, J.-P. 32 1995 Canonical \(p\)-dimension of algebraic groups. Zbl 1119.14041 Karpenko, Nikita A.; Merkurjev, Alexander S. 32 2006 Essential dimension: a survey. Zbl 1278.14066 Merkurjev, Alexander S. 32 2013 Simple algebras and quadratic forms. Zbl 0733.12008 Merkur’ev, A. S. 30 1991 Essential dimension of quadrics. Zbl 1032.11015 Karpenko, Nikita; Merkurjev, Alexander 28 2003 Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem. Zbl 1111.14009 Chernousov, V.; Merkurjev, A. 26 2006 \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups. Zbl 0884.20029 Merkurjev, A. S. 25 1996 Norm residue homomorphism of degree three. Zbl 0711.19003 Merkur’ev, A. S.; Suslin, A. A. 22 1990 Unramified elements in cycle modules. Zbl 1155.14017 Merkurjev, Alexander 22 2008 Index reduction formulas for twisted flag varieties. II. Zbl 0918.16013 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 21 1998 \(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism. Zbl 0525.18007 Merkur’ev, A. S.; Suslin, A. A. 21 1982 Essential dimension. Zbl 1188.14006 Merkurjev, Alexander S. 20 2009 Brauer groups of fields. Zbl 0555.13001 Merkur’ev, A. S. 19 1983 Cohomological invariants of algebraic tori. Zbl 1368.11034 Blinstein, Sam; Merkurjev, Alexander 18 2013 \(R\)-equivalence and special unitary groups. Zbl 0947.14023 Chernousov, V.; Merkurjev, A. 16 1998 Generic element in \(SK_ 1\) for simple algebras. Zbl 0811.16011 Merkur’ev, A. S. 15 1993 The group \(K_ 3\) for a field. Zbl 0725.19003 Merkur’ev, A. S.; Suslin, A. A. 14 1991 \(K\)-theory of algebraic tori and toric varieties. Zbl 0882.19002 Merkurjev, A. S.; Panin, I. A. 14 1997 On standard norm varieties. (Sur les variétés de norme standard.) Zbl 1275.14006 Karpenko, Nikita A.; Merkurjev, Alexander S. 14 2013 Steenrod operations and degree formulas. Zbl 1091.14006 Merkurjev, Alexander 14 2003 Motivic cohomology of the simplicial motive of a Rost variety. Zbl 1200.14041 Merkurjev, Alexander; Suslin, Andrei 13 2010 Invariants of algebraic groups and retract rationality of classifying spaces. Zbl 1397.14024 Merkurjev, Alexander S. 12 2017 \(K\)-theory of simple algebras. Zbl 0829.19003 Merkurjev, A. S. 12 1995 Essential dimension of central simple algebras. Zbl 1258.16023 Baek, Sanghoon; Merkurjev, Alexander S. 12 2012 Equivariant \(K\)-theory. Zbl 1108.19002 Merkurjev, Alexander S. 11 2005 Essential \(p\)-dimension of \(\mathrm{PGL}(p^2)\). Zbl 1231.20048 Merkurjev, Alexander S. 11 2010 Invariants of algebraic groups. Zbl 0913.16010 Merkurjev, Alexander 10 1999 Algebraic oriented cohomology theories. Zbl 1051.14021 Merkurjev, Alexander 10 2002 Essential dimension of spinor and Clifford groups. Zbl 1312.11024 Chernousov, Vladimir; Merkurjev, Alexander 10 2014 \(K\)-theory and algebraic groups. Zbl 0906.19001 Merkurjev, A. S. 10 1998 Degree three cohomological invariants of semisimple groups. Zbl 1367.12003 Merkurjev, A. 10 2016 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 10 2003 The norm residue homomorphism of degree three. Zbl 0716.19002 Merkur’ev, A. S.; Suslin, A. A. 9 1991 Certain \(K\)-cohomology groups of Severi-Brauer varieties. Zbl 0822.19002 Merkurjev, A. S. 9 1995 On the torsion in \(K_ 2\) of local fields. Zbl 0519.12010 Merkur’ev, A. S. 9 1983 Invariants of degree 3 and torsion in the Chow group of a versal flag. Zbl 1329.14017 Merkurjev, Alexander; Neshitov, Alexander; Zainoulline, Kirill 8 2015 \(R\)-equivalence in spinor groups. Zbl 0998.20042 Chernousov, Vladimir; Merkurjev, Alexander 8 2001 Maximal indexes of Tits algebras. Zbl 0854.20060 Merkurjev, A. S. 8 1996 The group \(K_ 3\) for a field. Zbl 0711.19002 Merkur’ev, A. S.; Suslin, A. A. 8 1990 On the corestriction of \(p^ n\)-symbol. Zbl 0778.12003 Mammone, P.; Merkurjev, A. 8 1991 R-equivalence on three-dimensional tori and zero-cycles. Zbl 1210.19005 Merkurjev, Alexander 8 2008 Invariants of simple algebras. Zbl 1183.16017 Baek, Sanghoon; Merkurjev, Alexander S. 8 2009 On polynomially integrable convex bodies. Zbl 1377.52005 Koldobsky, Alexander; Merkurjev, Alexander S.; Yaskin, Vladyslav 8 2017 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070 Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 8 2008 Chow groups of projective quadrics. Zbl 0754.14006 Karpenko, N. A.; Merkur’ev, A. S. 7 1990 Simple algebras and quadratic forms. Zbl 0763.12003 Merkur’ev, A. S. 7 1991 Adams operations and the Brown-Gersten-Quillen spectral sequence. Zbl 1229.14008 Merkurjev, Alexander 7 2010 Unramified degree three invariants of reductive groups. Zbl 1372.12002 Merkurjev, A. 7 2016 A lower bound on the essential dimension of simple algebras. Zbl 1231.16017 Merkurjev, Alexander S. 7 2010 Unramified cohomology of classifying varieties for classical simply connected groups. Zbl 1022.14015 Merkurjev, Alexander 6 2002 Rost projectors and Steenrod operations. Zbl 1030.11013 Karpenko, Nikita; Merkurjev, Alexander 6 2002 Connectedness of classes of fields and zero-cycles on projective homogeneous varieties. Zbl 1162.14303 Chernousov, Vladimir; Merkurjev, Alexander 6 2006 The group of \(K_ 1\)-zero-cycles on Severi-Brauer varieties. Zbl 0870.19001 Merkurjev, A. S.; Suslin, A. A. 6 1992 Degree three cohomological invariants of reductive groups. Zbl 1374.12006 Laackman, Donald; Merkurjev, Alexander 5 2016 Weight two motivic cohomology of classifying spaces for semisimple groups. Zbl 1346.14051 Merkurjev, A. 5 2016 Galois cohomology of biquadratic extensions. Zbl 0781.12005 Merkurjev, A. S.; Tignol, J.-P. 5 1993 Norm principle for reductive algebraic groups. Zbl 1036.20041 Barquero, P.; Merkurjev, A. 5 2002 Essential dimension. Zbl 1386.14004 Merkurjev, Alexander S. 4 2017 On the structure of the Brauer group of fields. Zbl 0598.12022 Merkur’ev, A. S. 4 1986 Cohomological invariants of central simple algebras. Zbl 1353.16007 Merkurjev, A. S. 4 2016 Chow filtration on representation rings of algebraic groups. Zbl 1470.14091 Karpenko, Nikita A.; Merkurjev, Alexander S. 4 2021 The group \(SK_1\) for simple algebras. Zbl 1117.16006 Merkurjev, Alexander 4 2006 Comparison of the equivariant and the ordinary \(K\)-theory of algebraic varieties. Zbl 0897.19004 Merkur’ev, A. S. 3 1997 A norm principle for algebraic groups. Zbl 0859.20039 Merkur’ev, A. S. 3 1995 The group \(H^ 1(X, K_ 2)\) for projective homogeneous varieties. Zbl 0847.19004 Merkur’ev, A. S. 3 1995 Periods of principal homogeneous spaces of algebraic tori. Zbl 1260.14054 Merkur’ev, A. S. 3 2010 Essential \(p\)-dimension of split simple groups of type \(A_n\). Zbl 1284.11066 Chernousov, Vladimir; Merkurjev, Alexander 3 2013 Maximal indexes of flag varieties for spin groups. Zbl 1472.14052 Devyatov, Rostislav A.; Karpenko, Nikita A.; Merkurjev, Alexander S. 3 2021 Unramified degree three invariants for reductive groups of type \(A\). Zbl 1400.14119 Merkurjev, Alexander S. 2 2018 Hermitian forms over quaternion algebras. Zbl 1329.11028 Karpenko, Nikita A.; Merkurjev, Alexander S. 2 2014 Cohomological invariants of simply connected groups of rank \(3\). Zbl 0955.20031 Merkurjev, Alexander 2 2000 An algebraic identity and the Jacobi-Trudi formula. Zbl 1391.15017 Bekker, B. M.; Ivanov, O. A.; Merkurjev, A. S. 2 2016 Rost invariant of the center, revisited. Zbl 1476.20048 Garibaldi, Ryan; Merkurjev, Alexander S. 2 2017 Growth of the \(u\)-invariant under algebraic extensions. Zbl 0804.11029 Leep, David B.; Merkurjev, A. S. 2 1994 Zero cycles on some involutive varieties. Zbl 0923.14002 Merkur’ev, A. S. 2 1995 On the norm residue homomorphism of degree two. Zbl 1180.19001 Merkurjev, Alexander 2 2006 Essential dimension. Zbl 1470.14093 Merkurjev, Alexander S. 2 2016 Rationality problem for classifying spaces of spinor groups. Zbl 1442.14150 Merkurjev, Alexander S. 2 2019 Versal torsors and retracts. Zbl 1467.14109 Merkurjev, A. S. 2 2020 A seven member sequence in the theory of Galois schemes. Zbl 0441.14009 Merkur’ev, A. S. 1 1979 A seven-term sequence in the Galois theory of schemes. Zbl 0465.14001 Merkur’ev, A. S. 1 1980 Degree three unramified cohomology of adjoint semisimple groups. Zbl 1507.20024 Merkurjev, Alexander S. 1 2018 Algebraic \(K\)-theory and Galois cohomology. Zbl 0818.12003 Merkurjev, Alexander S. 1 1994 On the structure of the Brauer group of a field. Zbl 0591.12026 Merkur’ev, A. S. 1 1985 \(K_2\) of fields and the Brauer group. Zbl 0608.12028 Merkur’ev, A. S. 1 1986 Motivic decomposition of compactifications of certain group varieties. Zbl 1430.14011 Karpenko, Nikita A.; Merkurjev, Alexander S. 1 2018 The group \(SK_ 2\) for quaternion algebras. Zbl 0652.12006 Merkur’ev, A. S. 1 1988 Index reduction formula. Zbl 0906.16006 Merkurjev, A. S. 1 1997 Selected chapters in elementary mathematics. With a preface by A. S. Merkur’ev. (Izbrannye glavy ehlementarnoj matematiki.) Zbl 1004.00002 Ivanov, O. A. 1 1995 Involutions and algebraic groups. (Abstract). Zbl 0850.20009 Merkur’ev, A. S. 1 1993 On the norm residue homomorphism for fields. Zbl 0876.12005 Merkur’ev, A. S. 1 1996 Kaplansky conjecture in the theory of quadratic forms. Zbl 0745.11026 Merkur’ev, A. S. 1 1989 Negligible degree two cohomology of finite groups. Zbl 1520.20107 Gherman, Matthew; Merkurjev, Alexander 1 2022 Indexes of generic Grassmannians for spin groups. Zbl 07740406 Karpenko, Nikita A.; Merkurjev, Alexander S. 1 2022 Chow filtration on representation rings of algebraic groups. Zbl 1470.14091 Karpenko, Nikita A.; Merkurjev, Alexander S. 4 2021 Maximal indexes of flag varieties for spin groups. Zbl 1472.14052 Devyatov, Rostislav A.; Karpenko, Nikita A.; Merkurjev, Alexander S. 3 2021 Versal torsors and retracts. Zbl 1467.14109 Merkurjev, A. S. 2 2020 In memoriam: Andrei Suslin. Zbl 1454.01043 Friedlander, Eric M.; Merkurjev, Alexander; Beilinson, Alexander; Haesemeyer, Christian; Levine, Marc; Panin, Ivan; Parimala, Raman; Soulé, Christophe; Weibel, Charles; Yagunov, Serge 1 2020 The mathematics of Andrei Suslin. Zbl 1447.20015 Friedlander, Eric M.; Merkurjev, Alexander S. 1 2020 Rationality problem for classifying spaces of spinor groups. Zbl 1442.14150 Merkurjev, Alexander S. 2 2019 On a pairing for algebraic tori. Zbl 1481.12005 Merkurjev, A. 1 2019 Unramified degree three invariants for reductive groups of type \(A\). Zbl 1400.14119 Merkurjev, Alexander S. 2 2018 Degree three unramified cohomology of adjoint semisimple groups. Zbl 1507.20024 Merkurjev, Alexander S. 1 2018 Motivic decomposition of compactifications of certain group varieties. Zbl 1430.14011 Karpenko, Nikita A.; Merkurjev, Alexander S. 1 2018 Invariants of algebraic groups and retract rationality of classifying spaces. Zbl 1397.14024 Merkurjev, Alexander S. 12 2017 On polynomially integrable convex bodies. Zbl 1377.52005 Koldobsky, Alexander; Merkurjev, Alexander S.; Yaskin, Vladyslav 8 2017 Essential dimension. Zbl 1386.14004 Merkurjev, Alexander S. 4 2017 Rost invariant of the center, revisited. Zbl 1476.20048 Garibaldi, Ryan; Merkurjev, Alexander S. 2 2017 Degree three cohomological invariants of semisimple groups. Zbl 1367.12003 Merkurjev, A. 10 2016 Unramified degree three invariants of reductive groups. Zbl 1372.12002 Merkurjev, A. 7 2016 Degree three cohomological invariants of reductive groups. Zbl 1374.12006 Laackman, Donald; Merkurjev, Alexander 5 2016 Weight two motivic cohomology of classifying spaces for semisimple groups. Zbl 1346.14051 Merkurjev, A. 5 2016 Cohomological invariants of central simple algebras. Zbl 1353.16007 Merkurjev, A. S. 4 2016 An algebraic identity and the Jacobi-Trudi formula. Zbl 1391.15017 Bekker, B. M.; Ivanov, O. A.; Merkurjev, A. S. 2 2016 Essential dimension. Zbl 1470.14093 Merkurjev, Alexander S. 2 2016 Invariants of degree 3 and torsion in the Chow group of a versal flag. Zbl 1329.14017 Merkurjev, Alexander; Neshitov, Alexander; Zainoulline, Kirill 8 2015 Essential dimension of spinor and Clifford groups. Zbl 1312.11024 Chernousov, Vladimir; Merkurjev, Alexander 10 2014 Hermitian forms over quaternion algebras. Zbl 1329.11028 Karpenko, Nikita A.; Merkurjev, Alexander S. 2 2014 Essential dimension: a survey. Zbl 1278.14066 Merkurjev, Alexander S. 32 2013 Cohomological invariants of algebraic tori. Zbl 1368.11034 Blinstein, Sam; Merkurjev, Alexander 18 2013 On standard norm varieties. (Sur les variétés de norme standard.) Zbl 1275.14006 Karpenko, Nikita A.; Merkurjev, Alexander S. 14 2013 Essential \(p\)-dimension of split simple groups of type \(A_n\). Zbl 1284.11066 Chernousov, Vladimir; Merkurjev, Alexander 3 2013 Essential dimension of central simple algebras. Zbl 1258.16023 Baek, Sanghoon; Merkurjev, Alexander S. 12 2012 Motivic cohomology of the simplicial motive of a Rost variety. Zbl 1200.14041 Merkurjev, Alexander; Suslin, Andrei 13 2010 Essential \(p\)-dimension of \(\mathrm{PGL}(p^2)\). Zbl 1231.20048 Merkurjev, Alexander S. 11 2010 Adams operations and the Brown-Gersten-Quillen spectral sequence. Zbl 1229.14008 Merkurjev, Alexander 7 2010 A lower bound on the essential dimension of simple algebras. Zbl 1231.16017 Merkurjev, Alexander S. 7 2010 Periods of principal homogeneous spaces of algebraic tori. Zbl 1260.14054 Merkur’ev, A. S. 3 2010 Zero-cycles on algebraic tori. Zbl 1221.14008 Merkurjev, Alexander S. 1 2010 Essential dimension. Zbl 1188.14006 Merkurjev, Alexander S. 20 2009 Invariants of simple algebras. Zbl 1183.16017 Baek, Sanghoon; Merkurjev, Alexander S. 8 2009 The algebraic and geometric theory of quadratic forms. Zbl 1165.11042 Elman, Richard; Karpenko, Nikita; Merkurjev, Alexander 228 2008 Essential dimension of finite \(p\)-groups. Zbl 1200.12002 Karpenko, Nikita A.; Merkurjev, Alexander S. 40 2008 Unramified elements in cycle modules. Zbl 1155.14017 Merkurjev, Alexander 22 2008 R-equivalence on three-dimensional tori and zero-cycles. Zbl 1210.19005 Merkurjev, Alexander 8 2008 Rational surfaces and the canonical dimension of \(\mathrm{PGL}_6\). Zbl 1206.14070 Colliot-Thélène, J.-L.; Karpenko, N. A.; Merkur’ev, A. S. 8 2008 Canonical \(p\)-dimension of algebraic groups. Zbl 1119.14041 Karpenko, Nikita A.; Merkurjev, Alexander S. 32 2006 Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem. Zbl 1111.14009 Chernousov, V.; Merkurjev, A. 26 2006 Connectedness of classes of fields and zero-cycles on projective homogeneous varieties. Zbl 1162.14303 Chernousov, Vladimir; Merkurjev, Alexander 6 2006 The group \(SK_1\) for simple algebras. Zbl 1117.16006 Merkurjev, Alexander 4 2006 On the norm residue homomorphism of degree two. Zbl 1180.19001 Merkurjev, Alexander 2 2006 Motivic decomposition of isotropic projective homogeneous varieties. Zbl 1086.14041 Chernousov, Vladimir; Gille, Stefan; Merkurjev, Alexander 38 2005 Equivariant \(K\)-theory. Zbl 1108.19002 Merkurjev, Alexander S. 11 2005 Cohomological invariants in Galois cohomology. Zbl 1159.12311 Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 154 2003 Essential dimension of quadrics. Zbl 1032.11015 Karpenko, Nikita; Merkurjev, Alexander 28 2003 Steenrod operations and degree formulas. Zbl 1091.14006 Merkurjev, Alexander 14 2003 Invariants of quasitrivial tori and the Rost invariant. Zbl 1041.11023 Merkurjev, A. S.; Parimala, R.; Tignol, J.-P. 10 2003 Algebraic oriented cohomology theories. Zbl 1051.14021 Merkurjev, Alexander 10 2002 Unramified cohomology of classifying varieties for classical simply connected groups. Zbl 1022.14015 Merkurjev, Alexander 6 2002 Rost projectors and Steenrod operations. Zbl 1030.11013 Karpenko, Nikita; Merkurjev, Alexander 6 2002 Norm principle for reductive algebraic groups. Zbl 1036.20041 Barquero, P.; Merkurjev, A. 5 2002 \(R\)-equivalence in spinor groups. Zbl 0998.20042 Chernousov, Vladimir; Merkurjev, Alexander 8 2001 Cohomological invariants of simply connected groups of rank \(3\). Zbl 0955.20031 Merkurjev, Alexander 2 2000 Invariants of algebraic groups. Zbl 0913.16010 Merkurjev, Alexander 10 1999 The book of involutions. With a preface by J. Tits. Zbl 0955.16001 Knus, Max-Albert; Merkurjev, Alexander; Rost, Markus; Tignol, Jean-Pierre 350 1998 Index reduction formulas for twisted flag varieties. II. Zbl 0918.16013 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 21 1998 \(R\)-equivalence and special unitary groups. Zbl 0947.14023 Chernousov, V.; Merkurjev, A. 16 1998 \(K\)-theory and algebraic groups. Zbl 0906.19001 Merkurjev, A. S. 10 1998 \(K\)-theory of algebraic tori and toric varieties. Zbl 0882.19002 Merkurjev, A. S.; Panin, I. A. 14 1997 Comparison of the equivariant and the ordinary \(K\)-theory of algebraic varieties. Zbl 0897.19004 Merkur’ev, A. S. 3 1997 Index reduction formula. Zbl 0906.16006 Merkurjev, A. S. 1 1997 Index reduction formulas for twisted flag varieties. I. Zbl 0874.16012 Merkurjev, A. S.; Panin, I. A.; Wadsworth, A. R. 39 1996 \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups. Zbl 0884.20029 Merkurjev, A. S. 25 1996 Maximal indexes of Tits algebras. Zbl 0854.20060 Merkurjev, A. S. 8 1996 On the norm residue homomorphism for fields. Zbl 0876.12005 Merkur’ev, A. S. 1 1996 The multipliers of similitudes and the Brauer group of homogeneous varieties. Zbl 0819.16015 Merkurjev, A. S.; Tignol, J.-P. 32 1995 \(K\)-theory of simple algebras. Zbl 0829.19003 Merkurjev, A. S. 12 1995 Certain \(K\)-cohomology groups of Severi-Brauer varieties. Zbl 0822.19002 Merkurjev, A. S. 9 1995 A norm principle for algebraic groups. Zbl 0859.20039 Merkur’ev, A. S. 3 1995 The group \(H^ 1(X, K_ 2)\) for projective homogeneous varieties. Zbl 0847.19004 Merkur’ev, A. S. 3 1995 Zero cycles on some involutive varieties. Zbl 0923.14002 Merkur’ev, A. S. 2 1995 Selected chapters in elementary mathematics. With a preface by A. S. Merkur’ev. (Izbrannye glavy ehlementarnoj matematiki.) Zbl 1004.00002 Ivanov, O. A. 1 1995 Growth of the \(u\)-invariant under algebraic extensions. Zbl 0804.11029 Leep, David B.; Merkurjev, A. S. 2 1994 Algebraic \(K\)-theory and Galois cohomology. Zbl 0818.12003 Merkurjev, Alexander S. 1 1994 Generic element in \(SK_ 1\) for simple algebras. Zbl 0811.16011 Merkur’ev, A. S. 15 1993 Galois cohomology of biquadratic extensions. Zbl 0781.12005 Merkurjev, A. S.; Tignol, J.-P. 5 1993 Involutions and algebraic groups. (Abstract). Zbl 0850.20009 Merkur’ev, A. S. 1 1993 The group of \(K_ 1\)-zero-cycles on Severi-Brauer varieties. Zbl 0870.19001 Merkurjev, A. S.; Suslin, A. A. 6 1992 Simple algebras and quadratic forms. Zbl 0733.12008 Merkur’ev, A. S. 30 1991 The group \(K_ 3\) for a field. Zbl 0725.19003 Merkur’ev, A. S.; Suslin, A. A. 14 1991 The norm residue homomorphism of degree three. Zbl 0716.19002 Merkur’ev, A. S.; Suslin, A. A. 9 1991 On the corestriction of \(p^ n\)-symbol. Zbl 0778.12003 Mammone, P.; Merkurjev, A. 8 1991 Simple algebras and quadratic forms. Zbl 0763.12003 Merkur’ev, A. S. 7 1991 Norm residue homomorphism of degree three. Zbl 0711.19003 Merkur’ev, A. S.; Suslin, A. A. 22 1990 The group \(K_ 3\) for a field. Zbl 0711.19002 Merkur’ev, A. S.; Suslin, A. A. 8 1990 Chow groups of projective quadrics. Zbl 0754.14006 Karpenko, N. A.; Merkur’ev, A. S. 7 1990 Kaplansky conjecture in the theory of quadratic forms. Zbl 0745.11026 Merkur’ev, A. S. 1 1989 The group \(SK_ 2\) for quaternion algebras. Zbl 0652.12006 Merkur’ev, A. S. 1 1988 On the structure of the Brauer group of fields. Zbl 0598.12022 Merkur’ev, A. S. 4 1986 \(K_2\) of fields and the Brauer group. Zbl 0608.12028 Merkur’ev, A. S. 1 1986 On the structure of the Brauer group of a field. Zbl 0591.12026 Merkur’ev, A. S. 1 1985 \(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism. Zbl 0525.18008 Merkur’ev, A. S.; Suslin, A. A. 99 1983 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 721 Authors 41 Merkur’ev, Aleksandr Sergeevich 39 Karpenko, Nikita Aleksandrovich 24 Chapman, Adam 23 Tignol, Jean-Pierre 20 Reichstein, Zinovy B. 19 Garibaldi, Skip 18 Nokhodkar, Amir Hossein 18 Parimala, Raman 18 Sivatski, Alexander S. 16 Elduque, Alberto 15 Chernousov, Vladimir I. 15 Colliot-Thélène, Jean-Louis 15 Zainoulline, Kirill 14 Dolphin, Andrew 14 Kahn, Bruno 13 Becher, Karim Johannes 13 Quéguiner-Mathieu, Anne 12 Baek, Sanghoon 12 Gille, Philippe 12 Krashen, Daniel 12 Laghribi, Ahmed 11 Kang, Ming-Chang 11 Matzri, Eliyahu 11 Semenov, Nikita 10 First, Uriya A. 10 Gille, Stefan G. 10 Mináč, Ján 9 Bayer-Fluckiger, Eva 9 Hoshi, Akinari 9 Levine, Marc Noel 9 Petersson, Holger P. 9 Pumplün, Susanne 9 Rapinchuk, Igor A. 9 Scavia, Federico 9 Thakur, Maneesh L. 9 Wadsworth, Adrian R. 8 Haution, Olivier 8 McKinnie, Kelly 8 Petrov, Viktor 8 Preeti, Raman 8 Rapinchuk, Andrei S. 8 Totaro, Burt 8 Vishne, Uzi 7 Brussel, Eric S. 7 Chipchakov, Ivan D. 7 Mahmoudi, Mohammad Gholamzadeh 7 McNinch, George J. 7 Pianzola, Arturo 7 Yagita, Nobuaki 6 Agranovsky, Mark L. 6 Auel, Asher Natan 6 Barry, Demba 6 Berhuy, Grégory 6 Duncan, Alexander 6 Garibaldi, Ryan Skip 6 Guralnick, Robert Michael 6 Hoffmann, Detlev W. 6 Leep, David B. 6 Lötscher, Roland Oskar 6 Mackall, Eoin 6 Nguyêñ Duy Tân 6 Schreieder, Stefan 6 Serre, Jean-Pierre 6 Tabuada, Gonçalo 6 Yamasaki, Aiichi 5 Asok, Aravind 5 Borovoi, Mikhail V. 5 Brosnan, Patrick 5 De Clercq, Charles 5 Fino, Raphaël 5 Florence, Mathieu 5 Jacob, Bill 5 MacDonald, Mark L. 5 Martín González, Cándido 5 Michailov, Ivo Michailov 5 Pirisi, Roberto 5 Rehmann, Ulf 5 Saito, Shuji 5 Scully, Stephen 5 Suresh, Venapally 5 Tengan, Eduardo 5 Weiss, Richard Mark 5 Yanchevskii, Vyacheslav Ivanovich 4 Alsaody, Seidon 4 Bhaskhar, Nivedita 4 Calmès, Baptiste 4 Di Lorenzo, Andrea 4 Draper, Cristina 4 Efrat, Ido 4 Gorchinskiĭ, Sergeĭ Olegovich 4 Harbater, David 4 Hazrat, Roozbeh 4 Izhakian, Zur 4 Jannsen, Uwe 4 Knebusch, Manfred 4 Lemire, Nicole Marie Anne 4 McFaddin, Patrick K. 4 Nguyễn Quôc Thăng 4 O’Shea, James 4 Østvær, Paul Arne ...and 621 more Authors all top 5 Cited in 164 Serials 123 Journal of Algebra 76 Journal of Pure and Applied Algebra 41 Communications in Algebra 41 Manuscripta Mathematica 36 Transactions of the American Mathematical Society 33 Advances in Mathematics 27 Duke Mathematical Journal 26 Israel Journal of Mathematics 25 Mathematische Annalen 25 Documenta Mathematica 24 Transformation Groups 23 Proceedings of the American Mathematical Society 22 Mathematische Zeitschrift 21 Compositio Mathematica 18 Journal of Number Theory 17 Journal of Algebra and its Applications 16 Inventiones Mathematicae 14 \(K\)-Theory 12 Journal of Algebraic Geometry 12 St. Petersburg Mathematical Journal 12 Forum of Mathematics, Sigma 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Archiv der Mathematik 10 Journal of \(K\)-Theory 9 Bulletin of the London Mathematical Society 9 Journal für die Reine und Angewandte Mathematik 9 Central European Journal of Mathematics 9 Annals of \(K\)-Theory 8 Indagationes Mathematicae. New Series 8 Journal of the European Mathematical Society (JEMS) 8 Algebra & Number Theory 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Commentarii Mathematici Helvetici 7 Publications Mathématiques 7 Michigan Mathematical Journal 7 Journal of the American Mathematical Society 7 Linear Algebra and its Applications 7 Journal of Mathematical Sciences (New York) 7 Algebras and Representation Theory 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Pacific Journal of Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 Expositiones Mathematicae 6 Annals of Mathematics. 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Deuxième Série 3 The New York Journal of Mathematics 3 Journal of Lie Theory 3 Mediterranean Journal of Mathematics 3 Oberwolfach Reports 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Homotopy and Related Structures 2 Communications in Mathematical Physics 2 Discrete Mathematics 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Rendiconti del Seminario Matematico della Università di Padova 2 Tôhoku Mathematical Journal. Second Series 2 Science in China. Series A 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Turkish Journal of Mathematics 2 Selecta Mathematica. New Series 2 Journal of Group Theory 2 Advances in Mathematics of Communications 2 Journal of Topology 2 Cryptography and Communications 2 Analysis and Mathematical Physics 2 Research in the Mathematical Sciences 2 Arnold Mathematical Journal 2 European Journal of Mathematics 2 Transactions of the American Mathematical Society. Series B 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Mathematical Notes ...and 64 more Serials all top 5 Cited in 39 Fields 518 Algebraic geometry (14-XX) 456 Number theory (11-XX) 295 Group theory and generalizations (20-XX) 258 Associative rings and algebras (16-XX) 192 Field theory and polynomials (12-XX) 145 \(K\)-theory (19-XX) 130 Nonassociative rings and algebras (17-XX) 65 Commutative algebra (13-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 39 Algebraic topology (55-XX) 27 Category theory; homological algebra (18-XX) 26 Topological groups, Lie groups (22-XX) 21 Manifolds and cell complexes (57-XX) 17 Geometry (51-XX) 11 Combinatorics (05-XX) 10 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Quantum theory (81-XX) 6 Information and communication theory, circuits (94-XX) 5 Integral transforms, operational calculus (44-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Differential geometry (53-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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