Professor at the University of Leuven (KU Leuven),
Doctor Honoris Causa of Ovidius University of Constanța,
Department of Mathematics,
Section of Algebra.

#### Electronic mail adress

wim.veys (at) kuleuven.be

#### Fields of Research

Algebraic Geometry,
Singularity Theory,
Applications in Number Theory.

#### Specific Research topics

- Exceptional divisor of an embedded resolution,
- Zeta Functions (Igusa, topological, motivic),
- Monodromy,
- Configurations of curves on surfaces,
- Surface singularities,
- Stringy invariants,
- Principal value integrals,
- Newton trees,
- Exponential sums, Kloosterman sums,
- Divisorial valuations.

#### Co-authors

#### Address

University of Leuven
Department of Mathematics
Celestijnenlaan 200B
B-3001 Leuven (Heverlee)
Belgium

#### Office phone

(+32)16-327092

#### Office fax

(+32)16-327998

#### Links

Dr. Bart Rodrigues:
Geometric determination of the poles of motivic and topological zeta functions,
May 2002.

Dr. Dirk Segers:
Smallest poles of Igusa's and topological zeta functions and solutions of polynomial congruences,
April 2004.

Dr. Jan Schepers:
Stringy invariants of singular algebraic varieties,
May 2006.

Dr. Ann Lemahieu
(other advisor: Antonio Campillo, Univ. Valladolid):
Poincaré series and zeta functions,
March 2007.

Dr. Filip Cools
(other advisor: Marc Coppens):
Grassmann secant varieties and plane curves with total inflection points,
May 2007.

Dr. Lise Van Proeyen:
Local zeta functions for ideals and the monodromy conjecture,
July 2008.

Dr. Tim Wouters
(other advisor: Philippe Gille, Paris):
Cohomological approach of obstructions for the existence of rational points,
May 2010.

Dr. Bart Bories:
Zeta functions, Bernstein-Sato polynomials, and the monodromy conjecture,
April 2013.

Dr. Leen Van Langenhoven:
Semigroup and Poincaré series for divisorial valuations,
October 2013.

Dr. Ferran Dachs-Cadefau
(other advisor: Josep Alvarez, Maria Alberich):
Multiplier ideals in two-dimensional local rings with rational singularities,
June 2016.

Dr. Thomas Cauwbergs
(other advisor: Johannes Nicaise):
Motivic Zeta Functions, Splicing and the Milnor Fibration,
July 2016.

Dr. Marta Panizzut
(other advisor: Filip Cools, Marc Coppens):
Linear systems on metric graphs, gonality and lifting problems,
October 2016.

Dr. Hans Baumers:
Jumping numbers in higher dimensions: computation and contribution by exceptional divisors,
October 2016.

Jasper Van Hirtum
(other advisor: Gabor Wiese, Jan Tuitman):
Computation and asymptotics of coefficients of modular forms.

Saskia Chambille
(other advisor: Raf Cluckers):
Exponential sums.

Lena Vos:
The monodromy conjecture for ideals.

Available with PDF() and/or PS() starting from 1992.

Monodromy eigenvalues and poles of zeta functions

Igusa's p-adic local zeta function and the monodromy conjecture for non-degenerated surface singularities

Bounds for \(p\)-adic exponential sums and log-canonical thresholds

Zeta functions and oscillatory integrals for meromorphic functions

The Newton tree: geometric interpretation and applications to the motivic zeta function and the log canonical threshold

Semigroup and Poincaré series for a finite set of divisorial valuations

Newton trees for ideals in two variables and applications

Bridging Algebra, Geometry, and Topology. Proceedings of "Experimental and Theoretical Methods in Algebra, Geometry and Topology", Eforie Nord, Romania, June 21-24, 2013

Springer Proceedings in Mathematics & Statistics,
96,
(2014),
xii+289 pp.

,
Poles of Archimedean zeta functions for analytic mappings

Zeta functions in algebra and geometry, Papers from the 2nd International Workshop held at the Universitat de les Illes Balears, Palma de Mallorca, May 3-7, 2010

Contemporary Mathematics,
566. American Mathematical Society, Providence, RI; Real Sociedad Matemática Española, Madrid,
(2012),
xvi+344 pp.

,
On the local zeta functions and b-functions of certain hyperplane arrangements

Monodromy Jordan blocks, b-functions and poles of zeta functions for germs of plane curves

Monodromy eigenvalues are induced by poles of zeta functions: the irreducible curve case

The Monodromy Conjecture for zeta functions associated to ideals in dimension two

On 'maximal' poles of zeta functions, roots of b-functions, and monodromy Jordan blocks

Stringy E-functions of hypersurfaces and of Brieskorn singularities

Zeta functions and monodromy for surfaces that are general for a toric idealistic cluster

Poles of the topological zeta function associated to an ideal in dimension two

Asymptotics of non-intersecting Brownian motions and a 4x4 Riemann-Hilbert problem

Zeta functions for polynomial mappings, log-principalization of ideals, and Newton polyhedra

Stringy Hodge numbers for a class of isolated singularities and for threefolds

On monodromy for a class of surfaces

On motivic principal value integrals

Monodromy eigenvalues and zeta functions with differential forms

On the poles of topological zeta functions

Vanishing of principal value integrals on surfaces

Arc spaces, motivic integration and stringy invariants

On the smallest poles of topological zeta functions

Stringy zeta functions for \(\mathbb{Q}\)-Gorenstein varieties

Poles of zeta functions on normal surfaces

Holomorphy of Igusa's and topological zeta functions for homogeneous polynomials

Zeta functions and 'Kontsevich invariants' on singular varieties

Embedded resolution of singularities and Igusa's local zeta function

The topological zeta function associated to a function on a normal surface germ

On the poles of maximal order of the topological zeta function

More congruences for numerical data of an embedded resolution

Structure of rational open surfaces with non-positive Euler characteristic

Zeta functions for curves and log canonical models

On Euler characteristics associated to exceptional divisors

Determination of the poles of the topological zeta function for curves

On the holomorphy conjecture for Igusa's local zeta function

Poles of Igusa's local zeta function and monodromy

Reduction modulo \(p^n\) of \(p\)-adic subanalytic sets

Congruences for numerical data of an embedded resolution

Compositio Mathematica,
80,
2,
(1991),
151-169.

,
Relations between numerical data of an embedded resolution

American Journal of Mathematics,
113,
4,
(1991),
573-592.

,
Relations between numerical data of an embedded resolution

Astérisque,
198,
(1991),
397-403.

,
On the poles of Igusa's local zeta function for curves

Journal of the London Mathematical Society-second series,
41,
(1990),
27-32.

,
On the poles of local zeta functions for curves

Bueso, J. et al. (Ed.),
Proceedings of the 1st Belgian-Spanish week on Algebra and Geometry,
Belgian-Spanish week on Algebra and Geometry,
Antwerpen,
8-15 July 1988,
(1988),
173-181.

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Last revised:
January 2017

Design and coding by Thomas Cauwbergs