Computing Parameterizations of Rational Algebraic Curves. - Mark van Hoeij (ISSAC, 1994)

An Algorithm for Computing an Integral Basis in an Algebraic Function Field. - Mark van Hoeij (J. Symb. Comput., 1994)

An Algorithm for Computing the Weierstrass Normal Form. - Mark van Hoeij (ISSAC, 1995)

Rational Solutions of the Mixed Differential Equation and Its Application to Factorization of Differential Operators. - Mark van Hoeij (ISSAC, 1996)

A Method for the Integration of Solutions of Ore Equations. - Sergei A. Abramov; Mark van Hoeij (ISSAC, 1997)

Rational Parametrizations of Algebraic Curves Using a Canonical Divisor. - Mark van Hoeij (J. Symb. Comput., 1997)

Formal Solutions and Factorization of Differential Operators with Power Series Coefficients. - Mark van Hoeij (J. Symb. Comput., 1997)

Factorization of Differential Operators with Rational Functions Coefficients. - Mark van Hoeij (J. Symb. Comput., 1997)

Rational Solutions of Linear Difference Equations. - Mark van Hoeij (ISSAC, 1998)

Desingularization of Linear Difference Operators with Polynomial Coefficients. - Sergei A. Abramov; Mark van Hoeij (ISSAC, 1999)

Liouvillian Solutions of Linear Differential Equations of Order Three and Higher. - Mark van Hoeij; Jean-François Ragot; Felix Ulmer; Jacques-Arthur Weil (J. Symb. Comput., 1999)

Factoring Polynomials and 0-1 Vectors. - Mark van Hoeij (CaLC, 2001)

Towards factoring bivariate approximate polynomials. - Robert M. Corless; Mark Giesbrecht; Mark van Hoeij; Ilias S. Kotsireas; Stephen M. Watt (ISSAC, 2001)

A modular GCD algorithm over number fields presented with multiple extensions. - Mark van Hoeij; Michael B. Monagan (ISSAC, 2002)

Closed form solutions of linear odes having elliptic function coefficients. - Reinhold Burger; George Labahn; Mark van Hoeij (ISSAC, 2004)

Algorithms for polynomial GCD computation over algebraic function fields. - Mark van Hoeij; Michael B. Monagan (ISSAC, 2004)

A modular algorithm for computing the exponential solutions of a linear differential operator. - Thomas Cluzeau; Mark van Hoeij (J. Symb. Comput., 2004)

Computing Riemann theta functions. - Bernard Deconinck; Matthias Heil; Alexander I. Bobenko; Mark van Hoeij; Markus Schmies (Math. Comput., 2004)

Solving second order linear differential equations with Klein's theorem. - Mark van Hoeij; Jacques-Arthur Weil (ISSAC, 2005)

Apparent singularities of linear difference equations with polynomial coefficients. - Sergei A. Abramov; Moulay A. Barkatou; Mark van Hoeij (Appl. Algebra Eng. Commun. Comput., 2006)

Computing Hypergeometric Solutions of Linear Recurrence Equations. - Thomas Cluzeau; Mark van Hoeij (Appl. Algebra Eng. Commun. Comput., 2006)

Approximate bivariate factorization: a geometric viewpoint. - André Galligo; Mark van Hoeij (SNC, 2007)

Solving third order linear differential equations in terms of second order equations. - Mark van Hoeij (ISSAC, 2007)

Solving differential equations in terms of bessel functions. - Ruben Debeerst; Mark van Hoeij; Wolfram Koepf (ISSAC, 2008)

Factoring univariate polynomials over the rationals. - Andy Novocin; Mark van Hoeij (ACM Commun. Comput. Algebra, 2008)

Liouvillian solutions of irreducible linear difference equations. - Yongjae Cha; Mark van Hoeij (ISSAC, 2009)

Solving recurrence relations using local invariants. - Yongjae Cha; Mark van Hoeij; Giles Levy (ISSAC, 2010)

Liouvillian solutions of irreducible second order linear difference equations. - Mark van Hoeij; Giles Levy (ISSAC, 2010)

Finding all bessel type solutions for linear differential equations with rational function coefficients. - Mark van Hoeij; Quan Yuan (ISSAC, 2010)

Abstract only: Solving linear recurrence relations. - Yongjae Cha; Mark van Hoeij; Giles Levy (ACM Commun. Comput. Algebra, 2010)

Solving linear recurrence equations. - Yongjae Cha; Mark van Hoeij; Giles Levy (ACM Commun. Comput. Algebra, 2010)

Abstract only: Solving linear differential equations by using descent. - Tingting Fang; Mark van Hoeij (ACM Commun. Comput. Algebra, 2010)

Abstract only: The complexity of factoring univariate polynomials over the rationals. - Mark van Hoeij (ACM Commun. Comput. Algebra, 2010)

Isomorphisms of Algebraic Number Fields - Mark van Hoeij; Vivek Pal (CoRR, 2010)

2-descent for second order linear differential equations. - Tingting Fang; Mark van Hoeij (ISSAC, 2011)

Practical polynomial factoring in polynomial time. - William Hart; Mark van Hoeij; Andrew Novocin (ISSAC, 2011)

Explicit formula for the generating series of diagonal 3D rook paths - Alin Bostan; Frédéric Chyzak; Mark van Hoeij; Lucien Pech (CoRR, 2011)

Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences. - Sergei A. Abramov; Moulay A. Barkatou; Mark van Hoeij; Marko Petkovsek (J. Symb. Comput., 2011)

Gradual Sub-lattice Reduction and a New Complexity for Factoring Polynomials. - Mark van Hoeij; Andrew Novocin (Algorithmica, 2012)

Finding 2F1 type solutions of differential equations with 5 singularities. - Mark van Hoeij; Vijay Jung Kunwar (ACM Commun. Comput. Algebra, 2012)

The complexity of factoring univariatepolynomials over the rationals: tutorial abstract. - Mark van Hoeij (ISSAC, 2013)

Second order differential equations with hypergeometric solutions of degree three. - Vijay Jung Kunwar; Mark van Hoeij (ISSAC, 2013)

Computing Puiseux Expansions at Cusps of the Modular Curve X0(N). - Mark van Hoeij (CoRR, 2013)

Generating subfields. - Mark van Hoeij; Jürgen Klüners; Andrew Novocin (J. Symb. Comput., 2013)

Computation of Genus 0 Belyi Functions. - Mark van Hoeij; Raimundas Vidunas (ICMS, 2014)

2F1-type Solutions of Second Order Differential Equations. - Mark van Hoeij; Erdal Imamoglu (ACM Commun. Comput. Algebra, 2014)

Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions. - Erdal Imamoglu; Mark van Hoeij (ISSAC, 2015)

Groebner basis in Boolean rings is not polynomial-space. - Mark van Hoeij (CoRR, 2015)

A Modular Algorithm for Computing Polynomial GCDs over Number Fields presented with Multiple Extensions. - Mark van Hoeij; Michael B. Monagan (CoRR, 2016)

Functional Decomposition Using Principal Subfields. - Luiz Emilio Allem; Juliane G. Capaverde; Mark van Hoeij; Jonas Szutkoski (ISSAC, 2017)

Closed Form Solutions for Linear Differential and Difference Equations. - Mark van Hoeij (ISSAC, 2017)

Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams. - Jakob Ablinger; Johannes Blümlein; Abilio De Freitas; Mark van Hoeij; Erdal Imamoglu; Clemens G. Raab; Cristian-Silviu Radu; Carsten Schneider (CoRR, 2017)

Hypergeometric expressions for generating functions of walks with small steps in the quarter plane. - Alin Bostan; Frédéric Chyzak; Mark van Hoeij; Manuel Kauers; Lucien Pech (Eur. J. Comb., 2017)

Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases. - Erdal Imamoglu; Mark van Hoeij (J. Symb. Comput., 2017)

Reduction-based creative telescoping for fuchsian D-finite functions. - Shaoshi Chen; Mark van Hoeij; Manuel Kauers; Christoph Koutschan (J. Symb. Comput., 2018)

Methods for simplifying differential equations. - Shayea Aldossari; Mark van Hoeij (ACM Commun. Comput. Algebra, 2019)

Fast algorithm for factoring difference operators. - Yi Zhou; Mark van Hoeij (ACM Commun. Comput. Algebra, 2019)

The complexity of computing all subfields of an algebraic number field. - Jonas Szutkoski; Mark van Hoeij (J. Symb. Comput., 2019)

A Family of Denominator Bounds for First Order Linear Recurrence Systems. - Mark van Hoeij; Moulay A. Barkatou; Johannes Middeke (CoRR, 2020)

Desingularization and p-Curvature of Recurrence Operators. - Yi Zhou; Mark van Hoeij (ISSAC, 2022)

Solving Third Order Linear Difference Equations in Terms of Second Order Equations. - Heba Bou Kaedbey; Mark van Hoeij; Man Cheung Tsui (ISSAC, 2024)

Submodule approach to creative telescoping. - Mark van Hoeij (J. Symb. Comput., 2025)

Solving order 3 difference equations. - Heba Bou Kaedbey; Mark van Hoeij; Man Cheung Tsui (J. Symb. Comput., 2025)

Hypergeometric solutions of linear difference systems. - Moulay A. Barkatou; Mark van Hoeij; Johannes Middeke; Yi Zhou (J. Symb. Comput., 2026)