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
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Here is
a picture of me.
If you think you still wouldn't recognize me in the streets, try
another photo of me.
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Teaching 2011-2012
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Teaching 2012-2013
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Here are directions to the building in which I work.
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Here are
slides, etc., of some of my talks
(BMC 2001, BMC 2002, Dagstuhl 2004, Banff 2005, Belfast 2007, VU 2007, Utrecht 2009,...).
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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 the values of L-functions
at certain points.
Since this area relates to and uses techniques from
number theory and arithmetic algebraic geometry, I also do research
in those fields without any link to algebraic K-theory. As some of my work is computer
based there are also algorithmic aspects to 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.
Nowadays I take part in the NWO cluster
DIAMANT.
Through the Arithmetic Algebraic Geometry network, or through other sources of money, I had various postdocs:
Jean-Guillaume Grebet, Niklas Broberg,
Ivan Horozov,
Daniel Caro
and
Tejaswi Navilarekallu.
On 1st September 2012,
Marco Streng will join on a
postdoc position of two years, which is partly funded by the NWO cluster
DIAMANT, and
Deepam Patel on a postdoc
position based on a 3-year NWO grant.
Currently I have two PhD students,
Bogdan Banu and François Escriva.
Events
We have an
algebra seminar.
There were also some earlier
algebra events
(with algebra interpreted rather broadly), in particular in the context of
DIAMANT
and the
Intercity Number Theory seminar.
From time to time I have some
visitors.
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 hosted by me in February and March 2010.
Together with José Burgos Gil, James Lewis, Joan Naranjo, Wayne Raskind and Xavier Xarles I organized
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.
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On K4(3) of curves over number fields,
Inventiones Mathematicae, 125 (1996), 523-556.
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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).
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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.
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On special elements in higher algebraic K-theory and the Lichtenbaum-Gross conjecture
(with D. Burns and H. Gangl),
Advances in Mathematics, 230 (2012), issue 3, 1502-1529.
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Regulators
(José Burgos Gil, Rob de Jeu, James Lewis, Joan Naranjo, Wayne Raskind, Xavier Xarles, Editors).
Contemporary Mathematics, vol. 571, AMS (Providence, R.I.), 2012.
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Beilinson's Hodge conjecture for smooth varieties
(with J. Lewis), submitted for publication.
- A result on K2 of certain (hyper)elliptic curves, preprint.
- The syntomic regulator for K4 of curves
(with A. Besser), preprint.
Click
here
to get a listing of my papers from AMS MathSciNet.
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