Raf Cluckers
ERC Consolidator Grant MOTMELSUM 2014  2019
Address:
Université Lille 1 Sciences et Technologies
Laboratoire Painlevé, CNRS  UMR 8524
Cité Scientifique
59655 Villeneuve d'Ascq Cedex (France)
Bureau: 314, building: M2
Secondary address:
Algebraic Geometry and Number Theory
Departement Wiskunde
Universiteit Leuven
Celestijnenlaan 200B
3001 Leuven (Belgium)
Bureau: 01.27
Email: Raf.Cluckers"at"math.univlille1.fr, Raf.Cluckers"at"wis.kuleuven.be
URL: http://math.univlille1.fr/~cluckers
TEL: 0032 16327025
Published papers and books:

R. Cluckers, F. Loeser, J. Nicaise: Chai's Conjecture and Fubini properties of dimensional motivic integration, Algebra and Number Theory, Vol. 7, No. 4, 893915 (2013).

R. Cluckers, J. Derakhshan, E. Leenknegt, A. Macintyre: Uniformly defining valuation rings in Henselian valued fields with finite or pseudofinite residue fields, Annals of Pure and Applied Logic, Vol. 164,
No. 12, 12361246, (2013).

R. Cluckers, D. J. Miller: Lebesgue classes and preparation of real constructible functions, Journal of Functional Analysis (JFA), Vol. 264, No. 7, 15991642 (2013).

R. Cluckers, I. Halupczok: Approximations and Lipschitz continuity in padic semialgebraic and subanalytic geometry, Selecta Mathematica, doi: 10.1007/s0002901200880 (2012).

R. Cluckers, G. Comte, F. Loeser Local metric properties and regular stratifications of padic definable sets Comment. Math. Helv., Vol. 87, No. 4, 9631009 (2012).

R. Cluckers, E. Leenknegt A version of padic minimality, J. Symbolic Logic, Vol. 77, No. 2, 621630 (2012).

R. Cluckers, I. Halupczok: Quantifier elimination in ordered abelian groups, Confluentes Mathematici,
Vol. 3, No 4, 587615 (2011), doi: 10.1142/S1793744211000473.

R. Cluckers, Y. de Cornulier, N. Louvet, R. Tessera, A. Valette: The HoweMoore property for real and padic groups, Math. Scand., Vol. 109, No. 2, 201224
(2011) arXiv:1003.1484.

R. Cluckers, F. Loeser: Motivic integration in mixed characteristic with bounded
ramification: a summary, bookchapter in: "Motivic integration and its interactions
with model theory and nonarchimedean geometry, Volume 1", Cambridge University
Press (2011) pdf here.

R. Cluckers, J. Nicaise and J. Sebag (Editors): Motivic integration and its interactions
with model theory and nonarchimedean geometry, Volume 1, Cambridge University
Press (2011).

R. Cluckers, J. Nicaise and J. Sebag (Editors): Motivic integration and its interactions
with model theory and nonarchimedean geometry Volume 2, Cambridge University
Press (2011).

R. Cluckers, T. Hales, F. Loeser: Transfer Principle for the Fundamental Lemma,
in ``On the Stabilization of the Trace Formula´´, edited by
L. Clozel, M. Harris, J.P. Labesse, B.C. Ngô, International Press of Boston, ISBN: 9781571462275, (2011).

R. Cluckers, C. Cunningham, J. Gordon, L. Spice: On the computability of some positivedepth characters near the identity, Representation Theory,
Vol. 15, 531567 (2011).

R. Cluckers: Analytic van der Corput Lemma for padic and F_q((t)) oscillatory integrals, singular Fourier transforms,
and restriction theorems, Expositiones Mathematicae, Vol. 29, No. 4, 371386 (2011),
doi:10.1016/j.exmath.2011.06.004 (2011).

R. Cluckers, D. J. Miller: Loci of integrability, zero loci,
and stability under integration for constructible functions on Euclidean space with Lebesgue measure,
Int. Math. Res. Not. (IMRN), doi: 10.1093/imrn/rnr133 (2011).

R. Cluckers, L. Lipshitz: Fields with analytic structure, J. Eur.
Math. Soc. (JEMS), Vol. 13, No. 4, 11471223 (2011) arXiv:0908.2376.

R. Cluckers, D. J. Miller: Stability under integration of sums of products of real globally subanalytic functions and their
logarithms, Duke Math. J., Vol. 156, No. 2, 311348 (2011).

R. Cluckers, G. Comte, F. Loeser: Lipschitz continuity properties for padic semialgebraic and subanalytic functions, GAFA (Geometric and Functional Analysis),
Vol. 20, No 1, 6887 (2010).

R. Cluckers, F. Loeser: Constructible exponential functions, motivic Fourier transform and transfer principle,
Annals of Mathematics,
Vol. 171, No. 2, 1011–1065
(2010).

R. Cluckers: Exponential sums: questions by Denef, Sperber, and
Igusa, Trans. Amer. Math. Soc., Vol. 362, No. 7, 37453756 (2010).
 R.
Cluckers, F. Loeser: Constructible motivic functions and motivic
integration, Inventiones Mathematicae, Vol. 173, No. 1, 23121 (2008).

R. Cluckers, L. Lipshitz, Z. Robinson: Real closed fields with nonstandard and standard analytic structure, Journal of the London Mathematical
Society, Vol. 78, No. 1,
198–212 (2008).

R. Cluckers, E. Leenknegt: Rectilinearization of semialgebraic padic sets and Denef's rationality of Poincaré series,
Journal of Number Theory, Vol. 128, No. 7, 21852197 (2008).

R. Cluckers, J. Denef: Orbital integrals for linear groups, Journal of the Institute of
Mathematics of Jussieu, Vol. 7, No. 2, 269289 (2008).

R. Cluckers: An introduction to bminimality, Conference Proceedings of LC2006, Nijmegen, math.LO/0610928 .
 R.
Cluckers: Parameterized local zeta functions, Logic Colloquium 2004, 8492, Lect. Notes Log., 29, Assoc. Symbol. Logic, Chicago, IL
(2008).

R. Cluckers: Igusa and DenefSperber
conjectures on nondegenerate padic exponential sums, Duke Math. J., Vol. 141, No. 1, 205216 (2008).

R. Cluckers: The modulo p and p² cases of the Igusa
Conjecture on exponential sums and the motivic oscillation index, Int. Math. Res. Not. (IMRN), (2008) Vol. 2008, article ID rnm118, 20 pages,
doi:10.1093/imrn/rnm118.

R. Cluckers, F. Loeser: bminimality, Journal of Mathematical Logic, Vol. 7, No. 2, 195  227 (2007).
 R.
Cluckers, A. Herremans: Computation of character sums and applications to prehomogeneous vector spaces.
With an appendix "Lfunctions of prehomogeneous vector spaces" by Fumihiro Sato, Bull. Soc. Math. France, Vol. 135, No. 4, 475494 (2007).

R. Cluckers, M. Edmundo: Integration of positive constructible functions against Euler characteristic and
dimension,
J. Pure Appl. Algebra, 208, no. 2, 691  698 (2007).
 R.
Cluckers, L. Lipshitz, Z. Robinson: Analytic cell decomposition and analytic motivic integration,
Ann. Sci. École Norm. Sup., 39, no. 4, 535  568 (2006).

R. Cluckers, F. Loeser: Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de
transfert, Comptes rendus de l'Académie des Sciences, 341, 741  746 (2005).
 R.
Cluckers, F. Loeser: AxKochenErsov Theorems for padic integrals and motivic integration,
in Geometric methods in algebra and number theory, Y. Tschinkel and F. Bogomolov (Eds.), 2005,
Proceedings of the Miami Conference 2003,
math.AG/0410223.
 R.
Cluckers: Multivariate Igusa theory: Decay rates of exponential sums, Int. Math. Res. Not. (IMRN), 76 (2004) 4093  4108.
 R. Cluckers, F. Loeser: Fonctions
constructible et intégration motivique II, Comptes rendus de l'Académie des Sciences, 339, 487  492 (2004).
 R. Cluckers, F. Loeser: Fonctions
constructible et intégration motivique I, Comptes rendus de l'Académie des Sciences, 339,
411  416 (2004).
 R.
Cluckers: Grothendieck rings of Laurent series fields, J. Algebra, 272, 692
 700 (2004).
 R.
Cluckers: Analytic padic cell decomposition and integrals, Trans. Amer. Math. Soc.,
356, no. 4, 1489  1499 (2004).
 R.
Cluckers: Presburger sets and pminimal fields, Journal
of Symbolic Logic, 68, no. 1, 153  162 (2003).
 R.
Cluckers: Model theory of valued fields, in Model theory and applications, Quaderni di matematica, Vol. 11, 2002 math.LO/0311433.
 R.
Cluckers: Cell decomposition and padic integration, Thesis
(locally) published in Leuven (2002) math.LO/0301023.
 R.
Cluckers: Classification of semialgebraic padic sets up to
semialgebraic bijection, Journal für die reine und
angewandte Mathematik, 540, 105 
114 (2001) math.LO/0311434.
 R.
Cluckers, D. Haskell: Grothendieck rings of Z valued
fields, Bulletin of Symbolic Logic, 7, no. 2, 262  269 (2001).
Preprints and notes:

R. Cluckers, G. Comte, F. Loeser: Nonarchimedean YomdinGromov parametrizations and points of bounded height, arXiv:1404.1952.

R. Cluckers, L. Lipshitz: Strictly Convergent Analytic Structures, submitted, arXiv:1312.5932.

R. Cluckers, growing notes on Motivic integration and transfer principles, ETH Nachdiplom lectures spring 2014.

R. Cluckers, F. Loeser: Motivic integration in all residue field characteristics for Henselian
discretely valued fields of characteristic zero, to appear in J. für die reine und
angewandte Mathematik, arXiv:1102.3832.

R. Cluckers, J. Gordon, I. Halupczok: Integrability of
oscillatory functions on local fields: transfer principles,
to appear in Duke Math. J., arXiv:1111.4405.

R. Cluckers, J. Gordon, I. Halupczok: Local integrability results in harmonic analysis on reductive groups in large positive characteristic, to appear in Ann. Sci. Ecole Norm. Sup., arXiv:1111.7057.

R. Cluckers, J. Gordon, I. Halupczok: Motivic functions, integrability, and uniform in p bounds for orbital integrals, to appear in Electronic Research Announcements in Math. (ERA), arXiv:1309.0594.

S.W. Shin, N. Templier: SatoTate theorem for families and lowlying zeros of automorphic Lfunctions, with appendix A by R. Kottwitz and Appendix B by R. Cluckers, J. Gordon and I. Halupczok, submitted,
arXiv:1208.1945.

R. Cluckers, D. J. Miller: Uniform bounds on the decay of families of oscillatory integrals with a constructible amplitude function and a globally subanalytic phase function, submitted, arXiv:1304.6102.

Abstracts and slides of some of my lectures.
Coming up soon:

R. Cluckers, W. Veys: Uniform bounds for
padic exponential sums.

E. Hrushovski, B. Martin, S. Rideau: Zeta Functions from Definable Equivalence Relations.
With an appendix "Rationality results for padic subanalytic equivalence relations" by R. Cluckers.
Organized Conferences:

With J. Pila and T. Scanlon we organize the workshop Model Theory in Geometry
and Arithmetic which will conclude the MSRI Spring 2014 semester program Model
Theory, Arithmetic Geometry and Number Theory.

Together with A. ChambertLoir, F. Loeser, J. Nicaise we organize a course on motivic integration in Oberwolfach to be held in 2013.

Together with J. Nicaise and W. Veys we organized the conference
Number Theory, Algebraic Geometry and Model Theory, in honor of Jan Denef,
at the CIRM in Luminy, France, September 12  16 (2011).

Together with A. Macintyre, J. Nicaise, and J. Sebag we organized the Workshop on Motivic Integration:
Motivic Integration and its Interactions with Model
Theory and NonArchimedean Geometry
May 12  May 17, 2008,
ICMS, 14, India Street, Edinburgh.
Thesis:
I started my Ph.D. studies in 1999 in Leuven under supervision of Prof. Dr. J. Denef, finishing in 2002.
Since all chapters of the thesis are published in journals by now
I recommend authors to refer to the published papers.
Curriculum Vitae:
download my curriculum
vitae and publication list as a pdffile. (Last update: September 2013)
Current projects:
One of my most ambitious projects is to solve
Igusa's 1974 conjecture on exponential sums. The conjecture describes padic
exponential sums, i.e., exponential sums modulo powers of p, uniform in
p.
For a general overview on motivic integration, see the slides on
motivic integration of the series of talks by F. Loeser at the 2005 Seattle algebraic geometry meeting.
Visits and honors:
During the spring semester of 2014, I will give the NachdiplomLectures at the ETH Zürich. I will be a MSRI Research Member in May 2014, Berkeley. I obtained an ERC Consolidator Grant with title "Motivic Mellin transforms and exponential sums through nonarchimedean geometry" MOTMELSUM, 2014  2019.
The CNRS of France awarded me with a "prime d'excellence" in 2011.
Students of the KU Leuven nominated me for best teaching assistant in math. I was a Marie Curie Fellow at the ENS in Paris for two years from 2003 on. Further, outside of mathematics, I won a first prize on the Belgian, national contest "Axion Classics" for classical piano for adolescents in 1994.
Personal items:
Look at my favorite pianist Andrew Hill's website.
Other pianists I admire are
Abdullah Ibrahim, the young Vijay Iyer, and
for example the classical pianist
Sviatoslav Richter (see All Music Guide ).
I accompanied on the piano, in his debuting years 1992  1997,
Filip Jordens, who
is now a professional actor and singer. At that time, we performed Jacques Brel, and he still often
does. We were once guests in the studios of the national Belgian Radio 1 and
we were once the warming up program for Arno.