Alexander Merkurjev

Source: Wikipedia, the free encyclopedia.
Alexander Merkurjev
Aleksandr Sergeyevich Merkurjev
University of California Los Angeles
Doctoral advisorAnatoli Yakovlev

Aleksandr Sergeyevich Merkurjev (Russian: Алекса́ндр Сергее́вич Мерку́рьев, born September 25, 1955[1]) is a Russian-American mathematician, who has made major contributions to the field of algebra. Currently Merkurjev is a professor at the University of California, Los Angeles.

Work

Merkurjev's work focuses on

Merkurjev–Suslin theorem. The full statement of the norm residue isomorphism theorem (also known as the Bloch-Kato conjecture) was proven by Voevodsky
.

In the late 1990s Merkurjev gave the most general approach to the notion of

Buhler and Reichstein
, and made fundamental contributions to that field. In particular Merkurjev determined the essential p-dimension of central simple algebras of degree (for a prime p) and, in joint work with Karpenko, the essential dimension of finite p-groups.[3][4]

Awards

Merkurjev won the Young Mathematician Prize of the

Budapest, Hungary in 1996.[7]
In 2012 he won the Cole Prize in Algebra for his work on the essential dimension of groups.[8]

In 2015 a special volume of Documenta Mathematica was published in honor of Merkurjev's sixtieth birthday.[9]

Bibliography

Books

References

  1. ^ Listed in the Library of Congress Online Catalog
  2. ^ A. Merkurjev (1981). "On the norm residue symbol of degree 2". Dokl. Akad. Nauk SSSR. 261: 542–547 (English trans. Soviet Math. Dokl. 24 (1982), pp.1546–1551).
  3. doi:10.1090/S0894-0347-10-00661-2
    .
  4. S2CID 14306605
    .
  5. ^ "Young mathematician prize of the Petersburg Mathematical Society".
  6. ^ "Proceedings of the International Congress of Mathematicians, August 3-11, 1986". International Mathematical Union. Archived from the original on 2014-02-02. Retrieved 2011-05-30. Merkurjev's talk: Milnor K-theory and Galois cohomology Archived 2016-03-03 at the Wayback Machine.
  7. ^ "Speakers and talks at the second European Congress of Mathematics".
  8. ^ "2012 Cole Prize in Algebra" (PDF).
  9. ^ P. Balmer; V. Chernousov; I. Fesenko; E. Friedlander; S. Garibaldi; Z. Reichstein; U. Rehmann (eds.). "Extra volume of Documenta Mathematica (2015) in honour of A. Merkurjev".
  10. doi:10.1090/S0273-0979-99-00780-6
    .
  11. doi:10.1090/S0273-0979-04-01033-X
    .
  12. ^ Zaldivar, Felipe (2008). "Review: The Algebraic and Geometric Theory of Quadratic Forms". MAA Reviews.

External links

Retrieved from "https://en.wikipedia.org/w/index.php?title=Alexander_Merkurjev&oldid=1209366844"