Papers

(with Jorge Oliveira e Gabriel Barruci da Silva), A dicritical foliation with one singularity and no algebraic solutions, to appear in Bull. Braz. Math. Soc.

(with Jorge Oliveira), A family of dicritical foliations with one singularity, Qual. Theory Dyn. Syst. 23 (2024), article number 66.

On the classification of foliations of degree three with one singularity, J. Symbolic Computation 112 (2022), 62--78.

Catching tangent curves in fields of lines, The American Mathematical Monthly 129 (2022), 52--65.

(with Luís Fernando Garcia Jales) Foliations with one singularity and finite isotropy group, Bull. Sci. math. 169 (2021).

(with Filipe Ramos Ferreira) On foliations with one singularity Bull. Braz. Math. Soc. 51 (2020), 957--974. Correction

Bounding solutions of differential equationsJournal of Symbolic Computation 89 (2018), 9--25

(with R. de Moura Canaan) On invariant line arrangements, Discrete and Computational Geometry 51 (2014), 337--361

(with D. Levcovitz) On the differential simplicity of affine rings,Proc. Amer. Math. Soc. 142 (2014), 1701--1704.

On some foliations arising from D-modules, Geometriae Dedicata 164 (2013), 27--45. 

A lost chapter in the pre-history of algebraic analysis , Arch. Hist. Exact Sci. 64 (2010), 665--706.

Foliations of multiprojective spaces and a conjecture of Bernstein and Lunts, Trans. Amer. Math. Soc., 363 (2011), 2125--2142.

(with L. Menasché Schechter), Algebraic solutions of plane vector fields, Journal of Pure and Applied Algebra, 213 (2009), 144--153.

On the classification of simple derivations over the affine plane, J. of Algebra, 319 (2008), 4249-4274.

(com Rodrigo Montenegro de Oliveira) , An algebraic algorithm for the resolution of singularities of foliations, Applicable Algebra in Engineering, Communication and Computing 19 (2008), 475--493.

(com Marcos Ferreira da Silva)Algebraic solutions of Jacobi equations, Math. Comp. 78 (2009), 2427-2433.

On the Density of Algebraic Pfaff Equations without Algebraic Solutions: a constructive proof, Annales de l'institut Fourier, 57 no. 5 (2007), p. 1611-1621.

Nonholonomic simple D-modules from simple derivations, Glasgow Mathematical Journal, 49 (2007), 23--28.

Nonholonomic simple D-modules over projective varieties Archiv der Mathematik,  86 (2006),540--545.

(com J. V. Pereira) , On the density of algebraic foliations without algebraic invariant sets, J. für die reine und angewandte Mathematik; 594, (2006), 117--136.

(com Luis Menasché Schechter) Holomorphic Foliations: an Algorithmic Approach, Journal of Symbolic Computation 41 (2006),603--618.

(with L. C. O. Almeida), On homogenous minimal involutive varieties, LMS J.Comput. Math.8 (2005), 301--315.

Quotient rings of noncommutative rings in the first half of the 20th century, Arch. Hist. Exact Sci.58(2004), 255-281.

Indecomposable non-holonomic D-modules in dimension 2 , Proc. Edinburgh Math. Soc.46 (2003),341-355.

On the differential simplicity of polynomial rings, J. Algebra 264 (2003), 442-468.

(with J. C. McConnell) The quest for quotient rings (of noncommutative noetherian rings), American Mathematical Monthly 110 (2003), 298-313.

Non-holonomic irreducible D-modules over complete intersections, Proc. Amer. Math. Soc. 131 (2003), 83-86.

(com Bruno F. M. Ribeiro) On holomorphic foliations without algebraic solutions, Experimental Mathematics, 10 (2001), 529-536.

(with D. Levcovitz) D-modules and étale extensions, Communications in Algebra 29(2001), 1487-1497.

On involutive homogeneous varieties andrepresentations of the Weyl algebra, Journal of Algebra 227 (2000), 195-210.

Quadratic operators do not generate maximal left ideals of the Weyl algebra, Glasgow Journal of Mathematics 42 (2000), 297--298.

(with M.P. Holland e D. Levcovitz), Conormal varieties and characteristic varieties , Proc. Amer. Math. Soc. 128 (2000), 975-980.

d-simple rings and simple D-modules, Math. Proc. Cambridge Phil. Soc. 125 (3), 405--415.

Critical modules over the second Weyl algebra, J. Pure and Applied Algebra 133 (1998), 261--269.

The many avatars of a simple algebra, Amer. Math. Monthly 104 (1997),593--604.

Extensions of modules over Weyl algebras, Trans. Amer. Math. Soc. 349 (1997)3343--3352

(with D. Levcovitz), Involutive varieties with smooth support, J. Algebra 192 (1997) 183--199.

Modules of codimension one over Weyl algebras, J. Algebra 177 (1995) 102--114.

Krull dimension of modules and involutive ideals, Proc. Amer. Math. Soc. 123 (1995),1647--1654.

(withM.P. Holland), Noetherian D-bimodules, J. Algebra 168 (1994) 443--454.

(withM.P. Holland), K-theory of twisted differential operators, J. London Math. Soc. 47 (1993), 240--254.

(with M.P. Holland), Locally free D-modules, Proc. Cambridge Phil. Soc. 112 (1992), 233--245.

(with M.P. Holland), Rings of differential operators of smooth varieties, Seminaire d'Algébre Paul Dubreil et Marie-Paul Malliavin , Lecture Notes in Mathematics 1404, Springer (1989), 201--219.

(with M.P. Holland), Module structure of rings of differential operators, Proceedings of the London Math. Soc. (3) 57 (1988), 417--432.

Generating modules efficiently over noncommutative noetherian rings, Trans. Amer. Math. Soc. (2) 323 (1991) 843--856.

K-theoretic properties of generic matrix rings, J. London Math. Soc. (2) 32 (1985), 51--56.