Rob de Jeu

Contact Information

Faculteit Exacte Wetenschappen
Afdeling Wiskunde
Vrije Universiteit
De Boelelaan 1081a
1081 HV Amsterdam
The Netherlands

Telephone: +31-20-598 7676
Fax: +31-20-598 7653

Here is a picture of me. If you think you still wouldn't recognize me in the streets, try another photo of me.

Here are directions to the building in which I work.

Here are slides, etc., of some of my talks (BMC 2001, BMC 2002, Dagstuhl 2004, Banff 2005, Belfast 2007, VU 2007, Utrecht 2009,...).

Contact Information Faculteit Exacte Wetenschappen Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam The Netherlands Telephone: +31-20-598 7676 Fax: +31-20-598 7653	Here is a picture of me. If you think you still wouldn't recognize me in the streets, try another photo of me.
Here are directions to the building in which I work.
Here are slides, etc., of some of my talks (BMC 2001, BMC 2002, Dagstuhl 2004, Banff 2005, Belfast 2007, VU 2007, Utrecht 2009,...).

Research Information

My work is concentrated around algebraic K-theory, especially in the direction of Zagier's, Goncharov's and Beilinson's conjectures. It involves making K-groups more explicit, computing regulators and establishing relations between those regulators and L-functions at certain points. Due to the techniques that are used my work contributes to both arithmetic algebraic geometry and algebraic K-theory. Since some of my work is computer based there are also algorithmic aspects to parts of my research.

I was the scientist in charge of the Durham node in the EC network Arithmetic Algebraic Geometry that ended 31st January 2008. I was also associated with the Edinburgh node in the EC network Algebraic K-Theory, Linear Algebraic Groups and Related Structures, which finished 30th September 2006. Through the Arithmetic Algebraic Geometry network, or through other grants, I had various postdocs: Jean-Guillaume Grebet, Niklas Broberg, Ivan Horozov, Daniel Caro. Currently Tejaswi Navilarekallu is a postdoc with me.

Nowadays I take part in the NWO cluster DIAMANT.

Events

With some other people I organized a Stieltjes "onderwijsweek" in January 2010, where the topics were inspired by the lectures of Spencer Bloch as Stieltjes professor in February and March 2010.

From time to time I run some algebra events (with algebra interpreted rather broadly), in particular in the context of DIAMANT and the Intercity Number Theory seminar.

Together with Jose Burgos Gil, James Lewis, Joan Naranjo, Wayne Raskind and Xavier Xarles I'm organizing Regulators III in July 2010 in Barcelona.

Earlier I organized a conference on algebraic cycles and motives (Fields Institute, Toronto, 19th-23rd March, 2007) together with James D. Lewis, which was dedicated to the mathematical heritage of Spencer J. Bloch.

Preprints and abstracts of publications

Zagier's Conjecture and Wedge Complexes in Algebraic K-theory, Compositio Mathematica, 96 (1995), 197-247.
On K₄⁽³⁾ of curves over number fields, Inventiones Mathematicae, 125 (1996), 523-556.
A counterexample to a conjecture of Beilinson, The arithmetic and geometry of algebraic cycles (Banff, AB, 1998), 491-493, NATO Science Series C Mathematical and Physical Sciences, 548, Kluwer Academic Publishers, Dordrecht, 2000.
Towards regulator formulae for the K-theory of curves over number fields, Compositio Mathematica, 124 (2000), no. 2, 137-194.
A remark on the rank conjecture, K-theory, 25 (2002), no. 3, 215-231.
The syntomic regulator for the K-theory of fields (with A. Besser), Annales Scientifiques de l'École Normale Supérieure, 36 (2003), issue 6, 867-924.
Numerical verification of Beilinson's conjecture for K₂ of hyperelliptic curves (with T. Dokchitser and D. Zagier), Compositio Mathematica, 142 (2006), issue 2, 339-373.
Li^(p)-service? An algorithm for computing p-adic polylogarithms (with A. Besser), Mathematics of Computation, 77 (2008), 1105-1134. The latex versions of the tables in the paper were created by reading this input data into the Magma programs corresponding to table 1, table 2, table 3 and table 4.
Further counterexamples to a conjecture of Beilinson, Journal of K-theory, 1 (2008), issue 1, 169-173.
On the p-adic Beilinson conjecture for number fields (with A. Besser, P. Buckingham and X.-F. Roblot). Pure and Applied Math Quarterly, 5 (2009), number 1, 375-434 (special issue in honor of Jean-Pierre Serre.).
Motives and Algebraic Cycles: A Celebration in Honour of Spencer J. Bloch (Rob de Jeu, James D. Lewis, Editors). Fields Institute Communications, vol. 56, AMS (Providence, R.I.)/Fields Institute (Toronto, Ontario), 2009.
A result on K₂ of certain (hyper)elliptic curves. Submitted for publication.
The syntomic regulator for K₄ of curves (with A. Besser), preprint.

Click here to get a listing of my papers from AMS MathSciNet. (Note: You or your institution must have a valid MathSciNet subscription for this to work.)