Rob de Jeu
Faculteit Exacte Wetenschappen
De Boelelaan 1081a
1081 HV Amsterdam
Room R-529, W&N building
Telephone: +31-20-598 7676
Fax: +31-20-598 7653
slides, etc., of some of my talks
(BMC 2001, BMC 2002, Dagstuhl 2004, Banff 2005, Belfast 2007, VU 2007, Utrecht 2009,...).
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
The Netherlands Organisation for Scientific Research (NWO)
Sander Dahmen also works in my research group.
Through the EC-funded Arithmetic Algebraic Geometry network, or through other sources of money
(including EPSRC (UK) and NWO (The Netherlands), I had various postdocs,
Jean-Guillaume Grebet, Niklas Broberg,
Chun Yin Hui.
Currently I have three PhD students:
Bogdan Banu, François Escriva,
and Joey van Langen.
visited me for the two years 2013 and 2014 while being a PhD student at the Graduate University of the Chinese Academy
From time to time I have some
With some other people I organized a
in January 2010, where the topics were inspired by
lectures of Spencer Bloch
as Stieltjes professor hosted by me in February and March 2010.
José Burgos Gil,
James D. Lewis and
Ursula Whitcher I will run
a semester on K-theory, algebraic cycles, and motivic homotopy theory
at the Newton Institute in Cambridge, United Kingdom, in the
first half of 2020.
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;
Regulators III in July 2010
together with José Burgos Gil, James Lewis, Joan Naranjo, Wayne Raskind
and Xavier Xarles;
a workshop on the cohomological realizations of motives
(BIRS, Banff, 7th-12th December 2014) together with Pedro Luis del Angel, Javier Elizondo, James Lewis, Paulo
Lima-Filho and Deepam Patel.
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 Amnon 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 Tim Dokchitser and Don Zagier), Compositio Mathematica, 142 (2006), issue 2, 339-373.
Li(p)-service? An algorithm for computing p-adic polylogarithms
(with Amnon Besser), Mathematics of Computation, 77 (2008), 1105-1134.
The latex versions of the tables in the paper were created by reading this
into the Magma programs corresponding to
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 Amnon Besser, Paul Buckingham and Xavier- François 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.
On special elements in higher algebraic K-theory and the Lichtenbaum-Gross conjecture
(with David Burns and Herbert Gangl),
Advances in Mathematics, 230 (2012), issue 3, 1502-1529.
(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 K4 of curves
(with Amnon Besser),
Pacific Journal of Mathematics, 260 (2012), number 2, 305-380
(special issue in memory of Jon Rogawski).
Beilinson's Hodge conjecture for smooth varieties
(with James Lewis),
Journal of K-theory, 11 (2013), issue 2, 243-282.
On K2 of certain families of curves
(with Hang Liu),
International Mathematics Research Notices, 2015 (2015), issue 21, 10929-10958.
Étale cohomology, cofinite generation, and p-adic L-functions
(with Tejaswi Navilarekallu),
Annales de l'Institut Fourier, 65 (2015), numéro 6, 2331-2383.
A relative version of the Beilinson-Hodge conjecture,
(with James Lewis and Deepam Patel)
Recent advances in Hodge theory (period domains, algebraic cycles, and arithmetic),
241-263, 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.
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