Curriculum Vitae of Arno van den Essen

Born December 14, 1951, Nijmegen (The Netherlands)
Married with Sandra Machado; one daughter, Raïssa.

Scientific education

1969-1973: Studied mathematics at the University of Nijmegen.
Masters degree 1973 (Cum Laude).
Specialization: Algebraic Number Theory
1974: University of Leiden (supervisor: Prof. R. Tijdeman).
1975-1979: University of Nijmegen (supervisor: Prof. A. Levelt).
1979: Ph.D. University of Nijmegen: Thesis “Fuchsian Modules” (supervisor: Prof. A. Levelt, Prof. J.-E. Björk).
1979-1980: University of Stockholm (Sweden), where I worked on a stipendium from the Dutch organization for Pure Scientific Research (Z.W.O.) under the supervision of Prof. J.-E. Björk.
1980-1982: University of Nijmegen (Z.W.O.-stipendium).
1983: University of Utrecht (Prof. T.A. Springer).
1984-today: Since 1984 I have a position at the University of Nijmegen

Positions held

In December 1985 I was visiting associate Professor at the University Paris VI.
From December 1988 - June 1989 I was visiting associate Professor at the University of Washington, Seattle.
In the month May 1993 I was visiting Professor at the University of Reims, France.
From January 1998-August 1998 I was visiting Professor at the Universitat Autonoma de Barcelona, Spain.
The month August 1998 I was guest of the Max-Planck Institut at Bonn, Germany.
The first two weeks of September 1998 I was guest of the CRM(Centre de recerca Matematica), Bellaterra, Spain.
The period Februari-March 2003 I was one month visiting professor at the University of Manitoba, Canada.
The period April-May 2003 I was two weeks visiting professor at the University of Torun, Poland.
The period April-May 2004 I was one month visiting Professor of the Washington University, St. Louis, U.S.A.

Invited speaker on international conferences

1979: The international Colloquium at Les Houches on Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory.
1984: Herbstschule Algebraische und geometrische Theorie überstimmter Systeme von linearen partiellen Differentialoperatoren, Hamburg.
1985: Contact Franco-Belge en Algèbre, University of Antwerpen.
1985: Algebraic theory of systems of partial differential equations, Oberwolfach.
1988: Conference Filtered rings, Antwerpen, June 27-30.
1988: Conference International sur l'étude micro-local des systems d'équations differentielles partielles, Paris.
1989: Microprogram on noncommutative rings, July 10-21, Berkeley.
1990: The international conference on D-modules and Microlocal geometry, October 29 - November 2, Lisboa, Portugal.
1993: Recent results on the global asymptotic stability Jacobian conjecture, September 14-17, Trento, Italy.
1993: International Workshop on affine algebraic geometry, December 8-14, Technion, Haifa, Israel.
1995: Septiemes rencontres du contact Franco-Belge en Algèbre, Reims, France.
1996: Colloque International sur l'oeuvre de Cheikh Anta Diop, Februari 26 - March 2, Dakar, Senegal.
1997: A conference honoring the mathematical work of Gary H. Meisters, May 9-10, Lincoln, USA.
1997: International workshop Global invertibility of polynomial functions, September 1-2, Turin, Italy.
1998: Invited lecturer (5 lectures given) of the Advanced Course on Dynamical Systems, September 1-10, Bellaterra, Spain.
1999: International Conference on Computational and Combinatorial Algebra, May 24-29, University of Hong Kong.
1999: Polynomial Automorphisms and Related Topics, July 6-11, Cracow, Poland.
2000: Conference on Algebra, Arithmetic, Geometry, and its Applications in honour of the 70^th birthday of Shreeram Abhyankar, Purdue, July 20-26.
2000: Los Encuentros de Algebra Computacional y Aplicaciones (EACA2000), Septembre 6-8, Barcelona.
2002: Workshop on Group actions on rational varieties, February 27- March 3, Montreal.
2003: First Joint Meeting RSME-AMS, Sevilla June 18-21.
2003: Journée Tournesol, Reims, November 21.
2004: International Conference Singularity Theory in honour of S. Lojasiewicz, Cracow, Poland, March 22-26.
2005: Joint meeting of the AMS-DMV-OeMG, June 16-19, Mainz Germany.
2005: Joint meeting of the AMS and TMS, December 12-18, Taichung, Taiwan.
2006: Journées d'Algèbres de La Rochelle France, February 3-4.
2006: International School Polynomial Automorphisms and related topics, October 9-13, Hanoi, Viernam (4 lectures).
: International Workshop Polynomial Automorphisms and related topics, October 16-20, Hanoi, Vietnam.

Invited lectures (other than on a conference)

1977: The University of Strasbourg (invited by R. Gérard).
1978: The University of Strasbourg (invited by R. Gérard).
1982: The University of Stockholm (invited by J.-E. Björk).
1982: L'Institute Henri Poincaré (Paris) (invited by M.P. Malliavin).
1983: The University of Antwerpen (invited by F. van Oystaeyen).
1985: The University of Paris VI (invited by M.P. Malliavin).
1986: The University of Warwick (invited by S.P. Smith).
1986: The University of Paris-Nord (invited by P. Schapira).
1986: The University of Paris VI (invited by R. Rentschler).
1988: The University of Paris VI (invited by R. Rentschler).
1988: The University of Washington, Seattle (invited by R. Warfield).
1989: The University of California at Los Angeles (invited by V.S. Varadarajan).
1989: The University of Southern California (invited by Harris).
1989: Oakland University, Rochester (invited by J. McKay).
1990: The University of Miami (invited by E. Connell).
1991: The University of Krakow, Poland (invited by L. Drużkowski).
1992: L'Institute Henri Poincaré, Paris (invited by J. Alev).
1992: Columbia University (invited by H. Bass).
1992: Oakland University, Rochester (invited by J. McKay, S. Wang).
1992: Wayne State University (invited by R. Brunner).
1992: The University of Michigan, Ann Arbor (invited by T. Stafford, C. Dean).
1992: The University of Lincoln, NE (invited by G. Meisters).
1993: The University of Paris VI (invited by J. Alev).
1993: The University of Reims, France (invited by J. Alev).
1993: The University of Poitiers, France (invited by J. Alev).
1994: The University of Paris VI (invited by K. Adjamagbo).
1994: The University of Rennes, France (invited by B. Edixhoven).
1995: The University of Hong Kong, Hong Kong (invited by J. Yu).
1995: The University of Barcelona, Spain (invited by A. Gasull).
1995: The University of Toruń, Poland (invited by A. Nowicki).
1995: The Jagelonian University, Krakow, Poland (invited by L. Drużkowski).
1996: L'Institute Henri Poincaré, Paris, France (invited by J. Alev).
1996: The University of Barcelona, Spain (invited by A. Gasull).
1997: The University of Basel (invited by H. Kraft).
1997: L'Institute Henri Poincaré, Paris, France (invited by K. Adjamagbo).
1997: Oakland University, Rochester (invited by C. Cheng).
1997: The University of Ottawa, Canada (invited by D. Daigle).
1998: Universitat Autonoma de Barcelona (invited by A. Gasull).
2001: The University of Toruń, Poland (invited by A. Nowicki).
2001: The Bulgarian Academy of Sciences, Sofia, Bulgaria (invited by V. Drensky)
2001: The University of Plovdiv, Bulgaria.
2001: The University of Reims, France (invited by J. Alev).
2001: Ecole Polytechnique de Paris, France (invited by J. Moulin-Ollagnier).
2001: The University of Paris VI, France (invited by K. Adjamagbo).
2001: The University of La Rochelle, France (invited by J.-Ph. Furter).
2001: The University of Bordeaux, France (invited by P. Cassou-Nogues).
2003: The University of Manitoba. Canada (invited by C. Gupta).
2003: The University of Toruń, Poland (invited by A. Nowicki).
2004: The Washington University at St. Louis, U.S.A. (invited by D. Wright).
2004: Universidad de La Laguna, Tenerife (invited by I. Bermejo).
2005: The University of Seton Hall, U.S.A. (invited by S. Washburn).
2005: The City University of New York (CUNY) (invited by V. Shpilrain).

Thesis prepared under my supervision

Masters thesis:

H. Derksen, Locaal eindige derivaties en groepsacties, 1993.
E. Hubbers, The Jacobian Conjecture, Cubic Homogeneous Maps in Dimension Four, 1994.
T. Jansen, Kernels of Elementary Derivations, 1995.
S. Maubach, Hilbert 14 and related subjects, 1998.
J. Berson, Derivations on polynomial rings over a domain, 1999.
J.W. Bikker, Adapting Coordinates, 2002.
D. Holtackers, On kernels of w-homogeneous derivations, 2003.
R. Willems, Graphs and the Jacobian Conjecture, 2005.

Ph.D. thesis:

E. Hubbers, Nilpotent Jacobians (1998).
P. van Rossum, Tackling Problems on Affine Space with Locally Nilpotent Derivations on Polynomial Rings (2001).
S. Maubach, Polynomial Endomorphisms and Kernels of Derivations, (2003).
J. Berson, Polynomial coordinates and their behavior in higher dimensions, 2004.
M. de Bondt (in preparation).

Conferences organised

1992: The International Conference on Polynomial Automorphisms and related topics, Luminy, France, October 12-16.
1994: The International Conference on Invertible Polynomial Maps, Curacao, Netherlands Antilles, July 4-9.
1997: An International Symposium, Differential and difference equations and computer algebra, January 10, Nijmegen.
1997: (with B. Deng) An International Conference in honour of Gary H. Meisters, University of Nebraska, Lincoln, U.S.A., May 9-10.
2005: (with M. Kang) The session Affine Algebraic geometry at the joint meeting of the AMS-TMS, at Taichung, Taiwan, December 14-18.
2006: (with D. Wright and N. Van Chau) International School and Workshop, Polynomial Automorphisms and Related Topics, October 9-20, Hanoi, Vietnam.

Outreach activities

1992-2002

I was initiator and organisor of a Mathematics Competition for highschool students (Wiskunde Toernooi), which takes place each year in September at the Radboud University Nijmegen.

1993

I organised a special MathDay for highschool students and teachers to celebrate Wiles' announced solution of the Fermat Problem. Main speakers: Serge Lang and Arthur Benjamin.

2002

I organised a special Math Day for a general audience at the occasion of the movie/book \A beautiful mind" (after the book of Sylvia Nasar). Special speakers: Sylvia Nasar, Stef Tijs, Henk van Tilborg.

Since 1992

I gave many special lectures at the yearly \open dag" for highschool students at the Radboud University.

I wrote various popular texts (in Dutch) for highschool students:

Wiskundig Redeneren.
Beroemde vermoedens in de Wiskunde.
De Macht(en) van twee.
Ringen en Magische Vierkanten.
Het oplossen van veeltermvergelijkingen van willekeurige graad.

2006

I wrote a popular scientiffic book (in Dutch). Magische Vierkanten, Veen magazines.

Special activities

1993-1997

I was a member of the advisory board of the Dutch Carribean Mathematics Seminar, which organised congresses in Curaçao, sponsored by the Carribean Mathematical Foundation.

I am advisor of the American and Canadian National Science Foundation.

I was in the jury of the following Ph.D. thesis (external referee).

Université Paris 6, Pascal Adjamagbo, 1991.
Universität Basel, Harm Derksen, 1996.
Université Bordeaux I, Eric Edo, 2002.
Université Paris 6, Sihem Hachchi-Mesnager, 2002.

I am referee for the following journals:

Annals of Mathematics, Annal. Polon Math.
Journal of Algebra
J. of Pure and applied algebra
Inventiones Math.
Proc. of the AMS
Linear Algebra and its applications
J. of Symbolic Comp.
Comm. in algebra
Colloquium Math.
Comp. Rendues Acad. Sci Paris.

I am reviewer of Mathematical Reviews and member of the American Mathematical Society.

I have done research in:

Number theory (1973-1974).
Differential equations (1974-1975).
D-modules (1975-1982).
Filtered rings, Algebraic Microlocalization (1982-1987).
Computer algebra, Polynomial Automorphisms (1987-…).

This website is designed by Rudiculous and maintained by the Department of mathematics of University of Nijmegen.

Department of mathematics
University of Nijmegen
Toernooiveld
6525 ED Nijmegen
tel. +3124-3652993
fax. +3124-3652140
E-Mail: A.vandenEssen@math.ru.nl

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