Charles Vial's homepage

Charles Vial

I am an EPSRC postdoctoral research fellow in the DPMMS at the University of Cambridge and a research fellow at Magdalene College, Cambridge. My PhD advisor was Burt Totaro.
My email address can be found on my official page.

University of Cambridge algebraic geometry seminar.
University of Cambridge number theory seminar.

Research interests

I am interested in algebraic geometry, especially in problems related to algebraic cycles. Lately my research has mostly focused on the interplay between Kimura's notion of finite-dimensionality for motives and the existence of a Bloch-Beilinson-Murre filtration on Chow groups.
Here's my CV.

Published papers and preprints

The most recent versions of my papers are those provided here, not on the arXiv:

Chow groups of smooth varieties fibred by quadrics. pdf.
Algebraic cycles on smooth varieties fibred by varieties with small Chow groups. pdf.
On the motive of fourfolds with a nef tangent bundle. pdf.
Chow-Kuenneth decomposition for 3- and 4-folds fibred by varieties with trivial Chow group of zero-cycles. J. Algebraic Geom., to appear. pdf.
Projectors on the intermediate algebraic Jacobians. pdf.
Niveau and coniveau filtrations on cohomology groups and Chow groups. Proceedings of the LMS, to appear. pdf.
Pure motives with representable Chow groups. Comptes Rendus 348 (2010), 1191–1195. pdf.
Operations in Milnor K-theory. J. Pure Appl. Algebra 213 (2009), 1325–1345. arXiv:0812.0481.
PhD thesis. University of Cambridge, 2009.

Teaching

During the Lent term 2012, I will be teaching Galois cohomology for the Part III Tripos. Lectures will be at 10am on Mondays, Wednesdays and Fridays in MR14. Last year's exam paper can be found here.

Invited Talks

Conference on quadratic forms, School of mathematics, University of Nottingham, August 2008.
Algebraic cycles and L-functions seminar, University of Regensburg, October 2008.
Workshop "Finiteness results for motives and motivic cohomology", University of Regensburg, February 2009.
Algebraic geometry seminar, University of Cambridge, May 2009.
Algebra & Geometry seminar, Institut Fourier, November 2009.
Algebraic geometry seminar, Hiroshima University, December 2009.
International workshop on motives, University of Tokyo, December 2009.
Rencontre Geometrie Algebrique et Geometrie Complexe, Luminy, January 2010.
Seminaire de Geometrie Arithmetique et Motivique, Universite Paris XIII, February 2010.
Geometrie arithmetique et motivique, CIRM, Luminy, September 2011.
Algebraic geometry seminar, University of Liverpool, March 2012.
Colloquium, University of Liverpool, March 2012.
Seminar, Universite de Bourgogne, Dijon, April 2012.

Grants

Thomas Nevile Research Fellowship, Magdalene College, Cambridge, October 2009 - September 2012.
EPSRC Postdoctoral Fellowship (PI), University of Cambridge, April 2010 - March 2013.