| Merkurjev A. |
| Degree three cohomological invariants of semisimple groups |
| Merkurjev A. |
| Weight two motivic cohomology of classifying spaces for semisimple groups |
| Merkurjev A. |
| On the Chow group of cycles of codimension 2 |
| Merkurjev A. |
| Essential dimension: a survey |
| Blinstein S., Merkurjev A. |
| Cohomological invariants of algebraic tori |
| Merkurjev A. |
| Essential dimension of certain subfunctors |
| Karpenko N., Merkurjev A. |
| On standard norm varieties To appear in J. Ann. Sci. Ecole Norm. Sup. |
| Chernousov V., Merkurjev A. |
| Essential dimension of Spinor and Clifford groups |
| Merkurjev A. |
| Developments in Algebraic K-Theory and Quadratic Forms After the Work of Milnor Collected papers of John Milnor, V: Algebra, 2010, 399-418. |
| Chernousov V., Merkurjev A. |
| Essential p-dimension of split simple groups of type A_n |
| Baek S., Merkurjev A. |
| Essential dimension of central simple algebras To appear in Acta Mathematica |
| Merkurjev A. |
|
A lower bound on the essential dimension of simple algebras
Algebra $\&$ Number Theory, 4 (2010), no. 8, 1055-1076. |
| Merkurjev A. |
| Periods of principal homogeneous spaces
of algebraic tori
Vestnik St. Petersburg University, Mathematics, 43 (2010), no. 1, 39-43. |
| Merkurjev A. |
| Adams operations and the Brown-Gersten-Quillen spectral
sequence
Quadratic forms, linear algebraic groups, and cohomology, Dev. Math., 18, Springer, New York (2010), 305–313. |
| Merkurjev A. |
| Zero-cycles on algebraic tori
Geometry of algebraic cycles, Proceedings of the Conference on algebraic cycles March 25-29, 2008, Ohio State University, Clay Mathematical Proceedings, v. 9, 2010, 119-123 |
| Merkurjev A., Suslin A. |
| Motivic cohomology of the simplicial motive of a Rost variety
Journal of Pure and Applied Algebra, 214 (2010), 2017-2026. |
| Baek S., Merkurjev A. |
| Invariants of simple algebras
Manuscripta Math., 129 (2009), no. 4, 409-421. |
| Merkurjev A. |
| Essential p-dimension of PGL(p^2)
J. Amer. Math. Soc., 23 (2010), 693-712. |
| Elman R., Karpenko N., Merkurjev A. |
| The algebraic and
geometric theory of quadratic forms
American Mathematical Society Colloquium Publications, 56. American Mathematical Society, Providence, RI, 2008. |
| Merkurjev A. |
| Essential p-dimension of finite groups |
| Notes of mini-course in Lens, June 2008. |
| Merkurjev A. |
| Essential dimension |
| Proceedings of the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms, Frutillar, Chile, December 13-19, 2007, Contemp. Math., 493, Amer. Math. Soc., Providence, R.I., 2009, 299-325. |
| Karpenko N., Merkurjev A. |
| Essential dimension of finite p-groups |
| Invent. Math., 172 (2008), no. 3, 491--508. |
| Merkurjev A. |
| $R$-equivalence on $3$-dimensional tori and zero-cycles | Algebra & Number Theory, 2 (2008), no. 1, 69--90. |
| Merkurjev A. |
| Unramified elements in cycle modules | J. London Math. Soc., 78 (2008), 51-64. |
| Colliot-Thelene J-L., Karpenko, N., Merkurjev A. |
| Rational surfaces and canonical dimension of PGL6 | Algebra i Analiz, 19 (2007), no. 5, 159--178, translation in St.Petersburg Math.J. 19 (2008), no. 5, 793--804. |
| Merkurjev A., Suslin A. |
| The group of K1-zero-cycles on Severi-Brauer varieties |
| J. Nova Journal of Algebra and Geometry, 1, no. 3 (1992), 297-315. |
| Chernousov V., Merkurjev A. |
| Connectedness of classes of fields and zero cycles on projective homogeneous varieties |
| Compositio Mathematica, 142 (2006), no. 6, 1522–1548. |
| Karpenko N., Merkurjev A. |
| Canonical p-dimension of algebraic groups |
| Adv. Math. 205 (2006), no. 2, 410-433. |
| Merkurjev A. |
| Algebraic Cobordism Theory |
| Notes of mini-course in Lens, June 2004. |
| Chernousov V., Merkurjev A. |
| Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem |
| Transformation Groups, 11, no. 3, (2006), 371-386. |
| Merkurjev A. |
| On the norm residue homomorphism of degree two |
| Proceedings of the St. Petersburg Mathematical Society. Vol. XII, Amer. Math. Soc. Transl. Ser. 2, 219, 103-124, American Mathematical Society, Providence, 2006. |
| Merkurjev A. |
| SK1 for degree 4 simple algebras |
| $K$-Theory, 37 (2006), 311-319. |
| Garibaldi S., Merkurjev A., Serre J-P. |
| Cohomological Invariants in Galois Cohomology |
| American Mathematical Society University Lecture Series, 28. American Mathematical Society, Providence, RI, 2003. |
| Merkurjev A. |
| Steenrod operations in algebraic geometry |
| Notes of mini-course in Lens, June 2003. |
| Merkurjev A. |
| Rational correspondences |
| Chernousov V., Gille S., Merkurjev A. |
| Motivic decomposition of isotropic projective homogeneous varieties | Duke Math. J.. Vol. 126, 2005, 137--159. |
| Merkurjev A. |
| Equivariant K-theory | J. Handbook of $K$-theory. Vol. 1, 2, Springer, Berlin, 925-954, 2005. |
| Merkurjev A. |
| Steenrod operations and degree formulas | J. Reine Angew. Math. 565, 2003, 13-26. |
| Karpenko N., Merkurjev A. |
| Rost projectors and Steenrod operations |
| Doc. Math., 7 (2002), 481-493 (electronic). |
| Karpenko N., Merkurjev A. |
| Essential dimension of quadrics |
| Invent. Math., 153 (2003), no. 2, 361-372. |
| Merkurjev A. |
| Algebraic oriented cohomology theories |
| Algebraic Number Theory and Algebraic Geometry, 171-194, Contemp. Math., 300, Amer. Math. Soc., Providence, R.I., 2002. |
| Merkurjev A. |
| Rost's degree formula |
| Notes of mini-course in Lens, June 2001. |
| Merkurjev A., Parimala R., Tignol J.-P. |
| Invariants of quasi-trivial tori and the Rost invariant |
| Algebra i Analiz, 14 (2002), no. 5, 110-151, translation in St.Petersburg Math.J. 14 (2003), no. 5, 791-821. |
| Merkurjev A. |
| Unramified cohomology of classifying varieties for classical simply connected groups |
| J. Ann. Sci. Ecole Norm. Sup., 4-e serie, 35 (2002), 445-476. |
| Barquero P., Merkurjev A. |
| Norm Principle for Reductive Algebraic Groups |
| J. Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry TIFR, Mumbai, January 4-12, 2000. |
| Chernousov V., Merkurjev A. |
| R-equivalence in spinor groups |
| J. Amer. Math. Soc., 14 (2001), 509-534. |
| Merkurjev A. |
| Cohomological
invariants of simply connected groups of rank 3
Journal of Algebra, 227 (2000), no. 2 , 614-632. |
| Merkurjev A. |
| Invariants
of algebraic groups
J. Reine Angew. Math., 508 (1999), 127-156. |