Publications and preprints

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[*] (As editor, joint with H. Bass, N. Van Chau) Lecture notes from the International School and Workshop (ICPA2006) held in Hanoi, October 9--20, 2006. Publishing House for Science and Technology, Hanoi, 2007. xii+160 pp.14-06

Published papers

[29] (Joint with Abdul Rauf) A new formulation of the Jacobian Conjecture in characteristic p , accepted to Journal of Pure and Applied Algebra (JPAA).
[28] (Joint with Abdul Rauf) The profinite polynomial automorphism group , Journal of Pure and Applied Algebra 219.10 (2015): 4708-4727
[27] Invariants and conjugacy classes of triangular polynomial maps , J. Pure Appl. Algebra 219, No. 12, 5206-5224 (2015).
[26] Triangular polynomial maps in characteristic p , accepted to Journal of Algebra and Number Theory (ANT)
[25] (Joint with R. Willems) Keller maps of low degree over finite fields , accepted to proceedings of GABAG2012.
[24] (Joint with A. Crachiola), Rigid rings , accepted to Comm. in Algebra
[23] (Joint with R. Willems) Polynomial automorphisms over finite fields: Mimicking non-tame and tame maps by the Derksen group , Serdica math. J. 37, 2011 (305-322) (Preprint version)
[22] (Joint with J. Berson, A. Dubouloz, J-Ph. Furter ), Locally tame plane polynomial automorphisms , Journal of Pure and Applied Algebra, Volume 216, Issue 1, January 2012, Pages 149 - 153 (Preprint version)
[21] (Joint with H. Derksen, D. Finston and A. van den Essen), Unipotent group actions on affine varieties , Journal of Algebra Volume 336, Issue 1, 15 June 2011, Pages 200-208 (Preprint version) . Addendum , the paper misses an acknowledgement to prof. Hanspeter Kraft !
[20] (Joint with J-Ph. Furter) A Characterization of Semisimple Plane Polynomial Automorphisms , J. Pure Appl. Algebra 214 No. 5 (2010) 574--583 (Preprint version)
[19] (Joint with E. Edo and A. van den Essen) A note on k[z]-automorphisms in two variables , J. Pure Appl. Algebra 213 No. 6 (2009) 1197--1200 (Preprint version)
[18] (Joint with P-M. Poloni) The Nagata automorphism is shifted linearizable , J. of Algebra 321 No. 3 (2009) 879--889 (Preprint version)
[17] (Joint with H. Peters) Polynomial maps which are roots of power series, , Mathematische Zeitschrift, 259, No.4 (2008) 903--914 (Preprint version)
[16] (Joint with D. Finston) Constructing (almost) rigid rings and a UFD having infinitely generated Derksen and Makar-Limanov invariant. , Canad. Math. Bull. 53(2010), 77-86 (Preprint version)
[15] (Joint with D.Finston) The Automorphism Group of Certain Factorial Threefolds and a Cancellation Problem. , Israel J. Math 163 (2008)No. 1 (Preprint version)
[14] (Joint with Nguyen Van Chau, as editors) Some open questions on polynomial automorphisms and related topics. , Acta Math. Vietnamica Vol. 32, No 2-3 (2007) 303--318
[13] On the methods to construct UFD counterexamples to a cancellation problem , Acta Math. Vietnamica Vol. 32, No 2-3 (2007) 215-222 (Preprint version)
[12] (Joint with J-Ph.Furter) Locally finite polynomial endomorphisms , J. Pure Appl. Algebra 211 (2007), no. 2, 445--458. (Preprint version)
[11] Infinitely generated Derksen and Makar-Limanov invariant. , Osaka J. Math. 44 (2007), 883-886 (Preprint version)
[10] (Joint with A.van den Essen, S.V\'en\'ereau) The Special Automorphism group of R[t]/(t^m)[X_1,...,X_n] and coordinates of a subring of R[t][X_1,...,X_m]. , J. Pure Appl. Alg. 210 (2007)no.1. 141-146 (Preprint version)
[9] (Joint with B. Škorić, T. Kevenaar, P. Tuyls ) Information-theoretic analysis of capacitive Physical Unclonable Functions, , J. Appl. Phys. 100, 024902 (2006). (Preprint version)
[8] (Joint with A.Crachiola) The Derksen invariant vs. the Makar-Limanov invariant. , Proc. Amer. Math. Soc. 131 (2003), no.11. 3365-3369. (Preprint version)
[7] The commuting derivations conjecture , J. Pure Appl. Algebra 179 (2003), No.1-2. 159-168. (Preprint version)
[6] The automorphism group of C[T]/(T^m)[X_1,...,X_n] , Comm. Algebra 30 (2002) no.2. 619-629. (Preprint version)
[5] The linearisation conjecture and other problems over nonreduced rings. , Comm. Algebra 30 (2002) no.4. 1693-1704 (Preprint version)
[4] (Joint with J.Berson, A.van den Essen) Derivations having divergence zero on R[X,Y]. , Israel J.Math. 124 (2001). (Preprint version)
[3] Polynomial automorphisms over finite fields. Serdica Math. J. 27 (2001) no.4. 343-350. (Preprint version)
[2] An algorithm to compute the kernel of a derivation up to a certain degree. J.Symbolic Computation 29 (2000), no.6. 959-970 (Preprint version)
[1] Triangular monomial derivations on k[X_1,X_2,X_3,X_4] have kernel generated by at most four elements. J.Pure Appl. Algebra 153 (2000) no.2. 165-170 (Preprint version)

(Submitted) preprints

[*] (Joint with M. de Bondt), Computing preimages of polynomial maps.

Thesis, unrefereed publications, and things I do not intend to publish (now)

2007 An open problem on polynomial automorphisms over finite fields , explaining a problem for non-experts
2006? Expressing A^z in terms of A^{-1},..., A^{-p} and analytic functions. , unpublished report
2006 (Joint with R. Brinkman and W. Jonker) A lucky dip as a secure data store , WISSEC 2006
2006 (Joint with B. Škorić and seven more authors) ALGSICS - Combining Physics and Cryptography to Enhance Security and Privacy in RFID Systems , WISSEC 2006
2003 Polynomial Endomorphisms and Kernels of Derivations , Ph.-D. Thesis, University of Nijmegen.
1998 Hilbert's 14th problem and related topics , Master's Thesis, University of Nijmegen.

Anything without formulas

2007 What to expect when staying long in Oberwolfach , An impression of my 3 month stay at the MFO as an Oberwolfach Leibniz Fellow.