Alexander Vishik

Contact

• workRoom B11 Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514940
• fax0115 9514951
• alexander.vishik@nottingham.ac.uk
• https://www.maths.nottingham.ac.uk/personal/av

Recent Publications

• VISHIK, A., 2023. On isotropic and numerical equivalence of cycles Selecta Mathematica. 29, 8
• MERKURJEV, A. and VISHIK, A., 2023. Operations in connective K-theory Algebra and Number Theory. 17(9), 1595-1636
• VISHIK, A., 2023. Torsion motives International Mathematical Research Notices.
• VISHIK, A., 2020. Operations and poly-operations in algebraic cobordism. Advances in Mathematics. 366, 107066

• View all publications

• VISHIK, A., 2023. On isotropic and numerical equivalence of cycles Selecta Mathematica. 29, 8
• MERKURJEV, A. and VISHIK, A., 2023. Operations in connective K-theory Algebra and Number Theory. 17(9), 1595-1636
• VISHIK, A., 2023. Torsion motives International Mathematical Research Notices.
• VISHIK, A., 2020. Operations and poly-operations in algebraic cobordism. Advances in Mathematics. 366, 107066
• VISHIK, A, 2020. Isotropic Motives Journal of the Institute of Mathematics of Jussieu.
• VISHIK, A., 2019. Stable and Unstable operations in Algebraic Cobordism Annales Scientifiques de l'Ecole Normale Superieure. 52(3), 561-630
• VISHIK, A., 2019. Affine quadrics and the Picard group of the motivic category Compositio Mathematica. 155(8), 1500-1520
• BACHMANN, T. and VISHIK, A., 2018. Motivic equivalence of affine quadrics Mathematische Annalen. 371(1), 741-751
• GILLE, S. and VISHIK, A., 2018. Rost nilpotence and free theories Documenta Mathematica. 23, 1635-1657
• VISHIK, A., 2016. Symmetric operations for all primes and Steenrod operations in Algebraic Cobordism. Compositio Mathematica. 152(5), 1052-1070
• VISHIK, A., 2015. Algebraic Cobordism as a module over the Lazard ring Mathematische Annalen. 363(3), 973-983
• VISHIK, A., 2011. Excellent connections in the motives of quadrics Annales Scientifiques de l'École Normale Superieure. 44(1), 183-195
• VISHIK, A., 2010. Rationality of integral cycles. In: FESENKO, I., FRIEDLANDER, E., MERKURJEV, A. and REHMANN, U., eds., Documenta Mathematica. Extra volume: A collection of manuscripts written in honour of Andrei A. Suslin on the occasion of his sixtieth birthday Deutscher Mathematiker-Vereinigung. 661-670
• VISHIK, A., 2009. Fields of u-invariant 2^r+1. In: TSCHINKEL, Y. and ZARHIN, Y., eds., Algebra, arithmetic and geometry: in honor of Yu. I. Manin. Volume 2 Birkhauser. 661-685
• VISHIK, A., 2008. Topics on Quadratic forms. In: FRIEDLANDER, E., KUKU, A. and PEDRINI, C., eds., Some recent developements in Algebraic K-theory ICTP Publications. 229-275
• VISHIK, A. and ZAINOULLINE, K., 2008. Motivic splitting lemma Documenta Mathematica. 13, 81-96
• ORLOV, D., VISHIK, A. and VOEVODSKY, V., 2007. An exact sequence for K_* ^M/2 with applications to quadratic forms Annals of Mathematics.. 165(1), 1-13
• VISHIK, A., 2007. Symmetric operations in algebraic cobordism Advances in Mathematics. 213(2), 489-552
• VISHIK, A., 2007. Generic points of quadrics and Chow groups Manuscripta Mathematica. 122(3), 365-374
• VISHIK, A. and YAGITA, N., 2007. Algebraic cobordisms of a Pfister quadric Journal of the London Mathematical Society. 76(2), 586-604
• VISHIK, A., 2005. On the Chow groups of Quadratic Grassmannians Documenta Mathematica. 10, 111-130
• VISHIK, A., 2004. Motives of quadrics with applications to the theory of quadratic forms. In: TIGNOL, J.-P., ed., Geometric methods in the algebraic theory of quadratic forms: Summer School, Lens, 2000 Berlin : Springer. 25-101
• VISHIK, A., 2004. Symmetric operations Proceedings of the Steklov Institute of Mathematics. 246(3), 79-92
• IZHBOLDIN, O.T. and VISHIK, A., 2000. Quadratic forms with absolutely maximal splitting. In: A.RANICKY, ed., Quadratic forms and their applications. Proceedings of the conference - Dublin, 1999 American Mathematical Society. 103-125
• VISHIK, A., 2000. On dimension of quadratic forms (Russian) Doklady Mathematics. 373(4), 445-447
• POSITSELSKY, L and VISHIK, A., 1995. Koszul duality and Galois cohomology Mathematical Research Letters. 2(6), 771-781
• FINKELBERG, M. and VISHIK, A., 1993. The coordinate ring of the general curve is Koszul Journal of Algebra. 165(2), 535-539