Curriculum Vitae of Arno van den Essen
Born December 14, 1951, Nijmegen (The Netherlands)
Married with Sandra Machado; one daughter, Raïssa.
Scientific education
 19691973

Studied mathematics at the University of Nijmegen.
Masters degree 1973 (Cum Laude).
Specialization: Algebraic Number Theory
 1974
 University of Leiden (supervisor: Prof. R. Tijdeman).
 19751979
 University of Nijmegen (supervisor: Prof. A. Levelt).
 1979

Ph.D. University of Nijmegen: Thesis “Fuchsian Modules” (supervisor: Prof. A. Levelt, Prof. J.E. Björk).
 19791980

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.
 19801982
 University of Nijmegen (Z.W.O.stipendium).
 1983
 University of Utrecht (Prof. T.A. Springer).
 1984today
 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 1998August 1998 I was visiting Professor at the Universitat Autonoma de Barcelona, Spain.
 The month August 1998 I was guest of the MaxPlanck 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 FebruariMarch 2003 I was one month visiting professor at the University of Manitoba, Canada.
 The period AprilMay 2003 I was two weeks visiting professor at the University of Torun, Poland.
 The period AprilMay 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 FrancoBelge en Algèbre, University of Antwerpen.
 1985
 Algebraic theory of systems of partial differential equations, Oberwolfach.
 1988
 Conference Filtered rings, Antwerpen, June 2730.
 1988
 Conference International sur l'étude microlocal des systems d'équations differentielles partielles, Paris.
 1989
 Microprogram on noncommutative rings, July 1021, Berkeley.
 1990
 The international conference on Dmodules and Microlocal geometry, October 29  November 2, Lisboa, Portugal.
 1993
 Recent results on the global asymptotic stability Jacobian conjecture, September 1417, Trento, Italy.
 1993
 International Workshop on affine algebraic geometry, December 814, Technion, Haifa, Israel.
 1995
 Septiemes rencontres du contact FrancoBelge 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 910, Lincoln, USA.
 1997
 International workshop Global invertibility of polynomial functions, September 12, Turin, Italy.
 1998
 Invited lecturer (5 lectures given) of the Advanced Course on Dynamical Systems, September 110, Bellaterra, Spain.
 1999
 International Conference on Computational and Combinatorial Algebra, May 2429, University of Hong Kong.
 1999
 Polynomial Automorphisms and Related Topics, July 611, Cracow, Poland.
 2000
 Conference on Algebra, Arithmetic, Geometry, and its Applications in honour of the 70^{th} birthday of Shreeram Abhyankar, Purdue, July 2026.
 2000
 Los Encuentros de Algebra Computacional y Aplicaciones (EACA2000), Septembre 68, Barcelona.
 2002
 Workshop on Group actions on rational varieties, February 27 March 3, Montreal.
 2003
 First Joint Meeting RSMEAMS, Sevilla June 1821.
 2003
 Journée Tournesol, Reims, November 21.
 2004
 International Conference Singularity Theory in honour of S. Lojasiewicz, Cracow, Poland, March 2226.
 2005
 Joint meeting of the AMSDMVOeMG, June 1619, Mainz Germany.
 2005
 Joint meeting of the AMS and TMS, December 1218, Taichung, Taiwan.
 2006
 Journées d'Algèbres de La Rochelle France, February 34.
 2006
 International School Polynomial Automorphisms and related topics, October 913, Hanoi, Viernam (4 lectures).
 International Workshop Polynomial Automorphisms and related topics, October 1620, 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 ParisNord (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. MoulinOllagnier).
 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. CassouNogues).
 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 whomogeneous 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 1216.
 1994
 The International Conference on Invertible Polynomial Maps, Curacao, Netherlands Antilles, July 49.
 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 910.
 2005
 (with M. Kang) The session Affine Algebraic geometry at the joint meeting of the AMSTMS, at Taichung, Taiwan, December 1418.
 2006
 (with D. Wright and N. Van Chau) International School and Workshop, Polynomial Automorphisms and Related Topics, October 920, Hanoi, Vietnam.
Outreach activities
 19922002

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
 19931997

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 HachchiMesnager, 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 (19731974).
 Differential equations (19741975).
 Dmodules (19751982).
 Filtered rings, Algebraic Microlocalization (19821987).
 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. +31243652993
fax. +31243652140
EMail: A.vandenEssen@math.ru.nl