Rob de Jeu
Contact Information
Faculteit Exacte Wetenschappen
Afdeling Wiskunde
Vrije Universiteit
De Boelelaan 1081a
1081 HV Amsterdam
The Netherlands
Room R529, W&N building
Telephone: +3120598 7676
Fax: +3120598 7653
Here are directions to the building in which I work.

Teaching 20162017

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 Ktheory, especially in the direction
of Zagier's, Goncharov's and Beilinson's conjectures. It
involves making Kgroups more explicit, computing regulators and
establishing relations between those regulators and the values of Lfunctions
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 Ktheory. 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 KTheory, Linear Algebraic Groups and Related Structures,
which finished 30th September 2006.
Nowadays I take part in the
The Netherlands Organisation for Scientific Research (NWO)
clusters
DIAMANT
and
GQT.
Sander Dahmen also works in my research group.
Through the Arithmetic Algebraic Geometry network, or through other sources of money, I had various postdocs:
JeanGuillaume Grebet, Niklas Broberg,
Ivan Horozov,
Daniel Caro,
Tejaswi Navilarekallu and
Marco Streng.
At the moment
Deepam Patel is on a postdoc
position funded by a 3year NWO grant, with an interruption for one year for a
fellowship at the IHES.
Currently I have two PhD students,
Bogdan Banu and François Escriva.
Hang Liu, a PhD student at the Graduate University of the Chinese Academy of Sciences,
started a 2year visit in January 2013.
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 Pedro Luis del Angel, Javier Elizondo, James Lewis, Paulo
LimaFilho and Deepam Patel I organize a workshop on
cohomological realizations of motives in December 2014 in Banff.
Earlier I organized
Preprints and abstracts of publications

Zagier's Conjecture and Wedge Complexes in Algebraic Ktheory,
Compositio Mathematica, 96 (1995), 197247.

On K_{4}^{(3)} of curves over number fields,
Inventiones Mathematicae, 125 (1996), 523556.

A counterexample to a conjecture of Beilinson,
The arithmetic and geometry of algebraic cycles (Banff, AB, 1998),
491493, NATO Science Series C Mathematical and Physical Sciences, 548, Kluwer Academic Publishers, Dordrecht, 2000.

Towards regulator formulae for the Ktheory of curves over number fields,
Compositio Mathematica, 124 (2000), no. 2, 137194.

A remark on the rank conjecture,
Ktheory, 25 (2002), no. 3, 215231.

The syntomic regulator for the Ktheory of fields
(with Amnon Besser), Annales Scientifiques de l'École Normale Supérieure, 36 (2003), issue 6, 867924.

Numerical verification of Beilinson's conjecture for K_{2} of hyperelliptic curves
(with Tim Dokchitser and Don Zagier), Compositio Mathematica, 142 (2006), issue 2, 339373.

Li^{(p)}service? An algorithm for computing padic polylogarithms
(with Amnon Besser), Mathematics of Computation, 77 (2008), 11051134.
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 Ktheory, 1 (2008), issue 1, 169173.

On the padic Beilinson conjecture for number fields
(with Amnon Besser, Paul Buckingham and Xavier François Roblot),
Pure and Applied Math Quarterly, 5 (2009), number 1, 375434
(special issue in honor of JeanPierre 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.

On special elements in higher algebraic Ktheory and the LichtenbaumGross conjecture
(with David Burns and Herbert Gangl),
Advances in Mathematics, 230 (2012), issue 3, 15021529.

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.

The syntomic regulator for K_{4} of curves
(with Amnon Besser),
Pacific Journal of Mathematics, 260 (2012), number 2, 305380
(special issue in memory of Jon Rogawski).

Beilinson's Hodge conjecture for smooth varieties
(with James Lewis),
Journal of Ktheory, 11 (2013), issue 2, 243282.

On K_{2} of certain families of curves
(with Hang Liu),
International Mathematics Research Notices, 2015 (2015), issue 21, 1092910958.

Étale cohomology, cofinite generation, and padic Lfunctions
(with Tejaswi Navilarekallu),
Annales de l'Institut Fourier, 65 (2015), numéro 6, 23312383.

A relative version of the BeilinsonHodge conjecture,
(with James Lewis and Deepam Patel)
Recent advances in Hodge theory (period domains, algebraic cycles, and arithmetic),
241263, London Mathematical Society Lecture Note Series, 247, Cambridge University Press, 2016.

Frobenius lifts and point counting for smooth curves
(with Amnon Besser and François Escriva), preprint.
Click
here
to get a listing of my papers from AMS MathSciNet.
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