Papers


A number of papers on this web page are protected by copyright, and are intended as a scientific resource for private use. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher, or from Jaap Top, as appropriate.

Primitivo B. Acosta-Humánez, Marius van der Put, and Jaap Top, Isomonodromy for the Degenerate Fifth Painlevé Equation, SIGMA, 13 (2017), 029, 14 pages.

Jasbir S. Chahal, Josselin Kooij, and Jaap Top, Further remarks on rational albime triangles, C. R. Math. Rep. Acad. Sci. Canada, 39 nr. 2 (2017), 67–76.

Jaap Top and Carlo Verschoor, Counting points on the Fricke-Macbeath curve over finite fields, J. Th. des Nombres Bordeaux, to appear (2016).

Jasbir S. Chahal and Jaap Top, Albime triangles over quadratic fields, Rocky Mountain J. Math., to appear (2016).

Majken Roelfszema, Eduardo Ruíz Duarte, and Jaap Top, Meer over Littlewood-nulpunten (in Dutch), Pythagoras, 56 nr. 2, November 2016, 29-31.

Erika Bakker, Jasbir S. Chahal, and Jaap Top, Albime triangles and Guy's favourite elliptic curve, Expos. Math., 34 (2016), 82-94.

Jasbir Chahal en Jaap Top, F. van der Blij en de Kletter-driehoeken (in Dutch), Nieuw Archief voor Wiskunde 5/16 nr. 2 (2015), 83-87.

Jaap Eising, David Radcliffe, and Jaap Top, A Simple Answer to Gelfand's Question, Amer. Math. Monthly, 122 (2015), 234-245.

Josef Schicho and Jaap Top, Algebraic Approaches to FlipIt, in The Resolution of Singular Algebraic Varieties, Clay Mathematics Proceedings, vol. 20, Amer. Math. Soc., Providence, RI, 2014, 319-325.

Marius van der Put and Jaap Top, Stratified order one differential equations in positive characteristic, J. Symb. Comput., 68 (2015), 308-315.

L.X. Chau Ngo, K.A. Nguyen, M. van der Put, J. Top, Equivalence of differential equations of order one, J. Symb. Comput., 71 (2015), 47-59.

Jasbir S. Chahal, Afzal Soomro and Jaap Top, A Supplement to Manin's Proof of the Hasse Inequality, Rocky Mountain J. Math., 44 (2014), 1457-1470.

Marius van der Put and Jaap Top, Geometric Aspects of the Painlevé Equations PIII(D_6) and PIII(D_7), SIGMA 10 (2014), 050, 24 pages.

Jaap Top, The conjecture of Birch and Swinnerton-Dyer (in Dutch), Nieuw Archief voor Wiskunde 5/14 nr. 4 (2013), 267-272.

Marius van der Put and Jaap Top, A Riemann-Hilbert approach to Painlevé IV, Journ. Nonlinear Math. Phys 20 (2013), Supplement 1, 165-177.

Ane Anema and Jaap Top, Explicit Algebraic Coverings of a Pointed Torus, pp. 143 -- 152 in Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds (Radu Laza et al., eds.), Fields Institute Communications 67, New York: Springer Verlag, 2013.

Tomasz Jędrzejak, Jaap Top, and Maciej Ulas, Tuples of hyperelliptic curves y^2=x^n+a, Acta Arith. 150 (2011), 105-113.

Jaap Top and Erik Weitenberg, Schoute herschijnt (in Dutch), Nieuw Archief voor Wiskunde 5/12 nr. 2 (2011), 116-120.

Jaap Top and Erik Weitenberg, Resurfaced discriminant surfaces, Newsletter of the EMS, 79 (2011), 28-35.

Jaap Top and Erik Weitenberg, Models of discriminant surfaces, Bull. Amer. Math. Soc. 48 (2011), 85-90.

Stephen Meagher and Jaap Top, Twists of genus three curves over finite fields, Finite Fields and their Appl. 16 (2010), 347-368.

Jaap Top, Vijf en dertig decimalen (in Dutch), Euclides 85 (2010), 270-272.

Irene Polo Blanco, Marius van der Put, and Jaap Top, Ruled quartic surfaces, models and classification, Geom. Dedicata 150 (2010), 151-180. DOI: 10.1007/s10711-010-9500-0.

Bas Heijne and Jaap Top, On the minimal distance of binary self-dual cyclic codes, IEEE Transactions on Information Theory 55 (2009), 4860-4863.

Irene Polo-Blanco and Jaap Top, A remark on parameterizing nonsingular cubic surfaces, Computer Aided Geometric Design 26 (2009), 842-849.

Jaap Top and Frank de Zeeuw, Explicit elliptic K3 surfaces with rank 15, Rocky Mountain J. of Math. 39 (2009), 1689-1698.

Tetsuo Kodama, Jaap Top and Tadashi Washio, Maximal hyperelliptic curves of genus three, Finite Fields and their Appl. 15 (2009), 392-403.

Jaap Top and Noriko Yui, Congruent number problems and their variants, p. 613-640 in Algorithmic Number Theory (J.P. Buhler and P. Stevenhagen, eds.), MSRI publications 44, Cambridge University Press, 2008.

K.A. Nguyen, M. van der Put and J. Top, Algebraic subgroups of GL(2), Indag. Mathem., N.S., 19 (2008), 287-297.

Jaap en Jordi Top, Totaal geflipt!, Pythagoras, Juni 2008, 22-23.

Irene Polo-Blanco and Jaap Top, Explicit Real Cubic Surfaces, Canad. Math. Bull. 51 (2008), 125-133.

Chad Schoen and Jaap Top, Drinfeld modules and torsion in the Chow groups of certain threefolds, Proc. Lond. Math. Soc. (3) 95 (2007), 545-566.

Jaap Top en Jaap Molenaar, Centraal of decentraal (in Dutch), Nieuw Archief voor Wiskunde 5/8 nr. 2 (2007), 128-131.

Jaap Top and Noriko Yui, Explicit equations of some elliptic modular surfaces, Rocky Mountain J. of Math. 37 (2007), 663-687.

Matthias Schütt and Jaap Top, Arithmetic of the [19,1,1,1,1,1] fibration, Comment. Math. Univ. St. Pauli 55 (2006), 9-16.

Jaap Top, De opgaven van de LIMO (in Dutch), Nieuw Archief voor Wiskunde 5/7 nr. 4 (2006), 286-288.

Bert van Geemen and Jaap Top, An isogeny of K3 surfaces, Bull. London Math. Soc. 38 (2006), 209-223.

Gerard Alberts, Jaap Molenaar, en Jaap Top, Karakter is meer (in Dutch), Nieuw Archief voor Wiskunde 5/7 nr. 3 (2006), 186-193.

Jaap Top, Möbius in strips and strings (in Dutch), Nieuw Archief voor Wiskunde 5/7 nr. 2 (2006), 84-90.

Roland Miyamoto and Jaap Top, Reduction of elliptic curves in equal characteristic 3 (and 2) Canad. Math. Bull. 48 (2005), 428-444.

Everett W. Howe, Kristin E. Lauter, and Jaap Top, Pointless curves of genus three and four. Arithmetic, geometry and coding theory (AGCT 2003), 125-141, Sémin. Congr. 11, Soc. Math. France, Paris, 2005.

Herman te Riele and Jaap Top, Fifty years ago---ICM 1954, (in Dutch), Nieuw Archief voor Wiskunde 5/5 nr. 4 (2004), 296-303.

Jaap Top, Cubic plaster models. (in Dutch), Summer course 2004: Structure in beauty (in Dutch), 37-57, CWI Syllabi 53, Centrum Wisk. Inform., Amsterdam, 2004.

Wieb Bosma and Jaap Top, De p van primaliteit (in Dutch), Nieuw Archief voor Wiskunde 5/4 nr. 1 (2003), 43-45.

Jaap Top en Wout de Goede, Toch niveau in de Zebra's (in Dutch), Nieuw Archief voor Wiskunde 5/4 nr. 2 (2003), 173-177.

Jaap Top, Curves of genus 3 over small finite fields, Indagat. Math. (N.S.) 14 (2003), no. 2, 275-283.

Rainer Kaenders en Jaap Top, Het zit hem in de derde klas (in Dutch), Nieuw Archief voor Wiskunde 5/4 nr. 4 (2003), 302-303.

Peter H. van der Kamp, Jan A. Sanders, and Jaap Top, Integrable systems and number theory. p. 171-201 in Differential equations and the Stokes phenomenon, World Sci. Publ., River Edge, NJ, 2002.

Roland Auer and Jaap Top, Some genus 3 curves with many points. p. 163-171 in Algorithmic number theory (Sydney, 2002), Lecture Notes in Comput. Sci. 2369, Springer, Berlin, 2002.

Jaap Top, Niveau gevraagd (in Dutch), Nieuw Archief voor Wiskunde 5/3 nr. 2 (2002), 157-159.

Roland Auer and Jaap Top, Legendre Elliptic Curves over Finite Fields, Journal of Number Theory 95 (2002), 303-312.

Jasbir Chahal, Matthijs Meijer, and Jaap Top, Sections on certain j=0 elliptic surfaces, Comment. Math. Univ. St. Paul. 49 (2000), 79-89.

Bart de Smit, Jaap Top, Chris Zaal, Pi in de pers (in Dutch), Nieuw Archief voor Wiskunde 5/1 nr. 4 (2000), 369-371.

Bert van Geemen and Jaap Top, Modular forms for GL(3) and Galois representations. p. 333-346 in Algorithmic number theory (Leiden, 2000), Lecture Notes in Comput. Sci. 1838, Springer, Berlin, 2000.

Masato Kuwata and Jaap Top, A singular K3 surface related to sums of consecutive cubes, Indag. Mathem., N.S. 11 (2000), 419-435.

R.M.Th.E. Oomes, J.J.T.M. Tersteeg and J. Top, The epitaph of Ludolph van Ceulen, (in Dutch), Nieuw Archief voor Wiskunde 5/1 nr. 2 (2000), 57-62.

Jaap Top, Laudatio for Professor J. H. van Lint, speaker of the 7th Johann Bernoulli Lecture (in Dutch), Nieuw Arch. Wisk. (4) 16 (1998), 173-182.

Marius van der Put and Jaap Top, Analytic compactification and modular forms. p. 113-140 in Drinfeld modules, modular schemes and applications (Alden-Biesen, 1996), World Sci. Publ., River Edge, NJ, 1997.

Marius van der Put and Jaap Top, Algebraic compactification and modular interpretation. p. 141-166 in Drinfeld modules, modular schemes and applications (Alden-Biesen, 1996), World Sci. Publ., River Edge, NJ, 1997.

Joe Buhler, Chad Schoen, and Jaap Top, Cycles, L-functions and triple products of elliptic curves, J. Reine Angew. Math. 492 (1997), 93-133.

Bert van Geemen, Wilberd van der Kallen, Jaap Top, and Alain Verberkmoes, Hecke eigenforms in the cohomology of congruence subgroups of SL(3,Z), Experiment. Math. 6 (1997), 163-174.

Jasbir S. Chahal and Jaap Top, Triangular numbers and elliptic curves, Rocky Mountain J. Math. 26 (1996), 937-949.

Bert van Geemen and Jaap Top, Selfdual and non-selfdual 3-dimensional Galois representations, Compositio Math. 97 (1995), 51-70.

C.L. Stewart and J. Top, On ranks of twists of elliptic curves and power-free values of binary forms, J. Amer. Math. Soc. 8 (1995), 943-973.

Jaap Top and Lynne Walling, Bibliography of B. L. van der Waerden, Nieuw Arch. Wisk. (4) 12 (1994), 179-193.

Günther Frei, Jaap Top, and Lynne Walling, A short biography of B.L. van der Waerden, Nieuw Arch. Wisk. (4) 12 (1994), 137-144.

Roel Stroeker and Jaap Top, On the equation Y^2=(X+p)(X^2+p^2), Rocky Mountain J. Math. 24 (1994), 1135-1161.

Bert van Geemen and Jaap Top, A non-selfdual automorphic representation of GL(3) and a Galois representation, Invent. Math. 117 (1994), 391-401.

Masato Kuwata and Jaap Top, An elliptic surface related to sums of consecutive squares, Exposit. Math. 12 (1994), 181-192.

Jaap Top, Descent by 3-isogeny and 3-rank of quadratic fields, in Advances in number theory (Kingston, ON, 1991), 303-317, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.

Jaap Top, D. Mumford's ``A remark on Mordell's conjecture'', in Diophantine approximation and abelian varieties (Soesterberg, 1992), 63-67, Lecture Notes in Math. 1566, Springer, Berlin, 1993.

Jaap Top, Fermat's 'primitive solutions' and some arithmetic of elliptic curves, Indag. Mathem. 4 (1993), 211-222.

Riccardo Salvati-Manni and Jaap Top, Cusp Forms of Weight 2 for the Group G2(4,8), Amer. J. of Math. 115 (1993), 455-486.

C. Peters, J. Top and M. van der Vlugt, The Hasse zeta function of a K3 surface related to the number of words of weight 5 in the Melas codes, J. reine angew. Math. 432 (1992), 151-176.

Walter Tautz, Jaap Top, and Alain Verberkmoes, Explicit hyperelliptic curves with real multiplication and permutation polynomials, Canad. J. Math. 43 (1991), 1055-1064.

Bas Edixhoven, Arnold de Groot, and Jaap Top, Elliptic curves over the rationals with bad reduction at only one prime, Math. Comp. 54 (1990), 413-419.

Jaap Top, Computers and l-adic cohomology, Nieuw Arch. Wisk. (4) 7 (1989), 197-204.

Jaap Top, Hecke L-series related with algebraic cycles or with Siegel modular forms, PhD thesis, 1989.

Takeshi Ooe and Jaap Top, On the Mordell-Weil rank of an abelian variety over a number field, J. Pure Appl. Algebra 58 (1989), no. 3, 261-265.

Frits Beukers and Jaap Top, On oranges and integral points on certain plane cubic curves, Nieuw Arch. Wisk. (4) 6 (1988), 203-210.

Jaap Top, A remark on the rank of Jacobians of hyperelliptic curves over Q over certain elementary abelian 2-extensions, Tôhoku Math. J. (2) 40 (1988), 613-616.