An Optimal Condition for Determining the Exact Number of Roots of a Polynomial System. - John F. Canny; J. Maurice Rojas (ISSAC, 1991)

A Convex Geometric Approach to Counting the Roots of a Polynomial System. - J. Maurice Rojas (Theor. Comput. Sci., 1994)

Counting Affine Roots of Polynomial Systems via Pointed Newton Polytopes. - J. Maurice Rojas; Xiaoshen Wang (J. Complex., 1996)

A new approach to counting Nash equilibria. - J. Maurice Rojas (CIFEr, 1997)

Intrinsic Near Quadratic Complexity Bounds for Real Multivariate Root Counting. - J. Maurice Rojas (ESA, 1998)

On the Complexity of Diophantine Geometry in Low Dimensions (Abstract). - J. Maurice Rojas (CCC, 1999)

On the Complexity of Diophantine Geometry in Low Dimensions (Extended Abstract). - J. Maurice Rojas (STOC, 1999)

Solving Degenerate Sparse Polynomial Systems Faster. - J. Maurice Rojas (J. Symb. Comput., 1999)

Some Speed-Ups and Speed Limits for Real Algebraic Geometry. - J. Maurice Rojas (J. Complex., 2000)

Uncomputably large integral points on algebraic plane curves? - J. Maurice Rojas (Theor. Comput. Sci., 2000)

Computational Arithmetic Geometry I. Sentences Nearly in the Polynomial Hierarchy. - J. Maurice Rojas (J. Comput. Syst. Sci., 2001)

Additive Complexity and Roots of Polynomials over Number Fields and mathfrak{p} -adic Fields. - J. Maurice Rojas (ANTS, 2002)

The Exact Rational Univariate Representation for Detecting Degeneracies. - John Keyser; Koji Ouchi; J. Maurice Rojas (Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing, 2003)

A Direct Ultrametric Approach to Additive Complexity and the Shub-Smale Tau Conjecture - J. Maurice Rojas (CoRR, 2003)

Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces. - Tien-Yien Li; J. Maurice Rojas; Xiaoshen Wang (Discret. Comput. Geom., 2003)

New Complexity Thresholds for Sparse Real Polynomials and A-discriminants - J. Maurice Rojas; Casey E. Stella (CoRR, 2004)

High probability analysis of the condition number of sparse polynomial systems. - Gregorio Malajovich; J. Maurice Rojas (Theor. Comput. Sci., 2004)

Efficiently Detecting Torsion Points and Subtori - J. Maurice Rojas (CoRR, 2005)

On solving univariate sparse polynomials in logarithmic time. - J. Maurice Rojas; Yinyu Ye 001 (J. Complex., 2005)

Practical conversion from torsion space to Cartesian space for in silico protein synthesis. - Jerod Parsons; J. Bradley Holmes; J. Maurice Rojas; Jerry Tsai; Charlie E. M. Strauss (J. Comput. Chem., 2005)

New Complexity Bounds for Certain Real Fewnomial Zero Sets - Joel Gomez; Andrew Niles; J. Maurice Rojas (CoRR, 2007)

Book Review S. Basu, R. Pollack, and M.-F. Roy: Algorithms in Real Algebraic Geometry. - J. Maurice Rojas (Found. Comput. Math., 2008)

Faster real feasibility via circuit discriminants. - Frédéric Bihan; J. Maurice Rojas; Casey E. Stella (ISSAC, 2009)

Optimization and NP_R-completeness of certain fewnomials. - Philippe P. Pébay; J. Maurice Rojas; David C. Thompson 001 (SNC, 2009)

Randomized NP-completeness for p-adic rational roots of sparse polynomials in one variable. - Martin E. Avendano; Ashraf Ibrahim; J. Maurice Rojas; Korben Rusek (ISSAC, 2010)

Fewnomial Systems with Many Roots, and an Adelic Tau Conjecture. - Kaitlyn Phillipson; J. Maurice Rojas (CoRR, 2010)

Near NP-Completeness for Detecting p-adic Rational Roots in One Variable - Martin E. Avendano; Ashraf Ibrahim; J. Maurice Rojas; Korben Rusek (CoRR, 2010)

Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond. - Osbert Bastani; Christopher J. Hillar; Dimitar Popov; J. Maurice Rojas (CoRR, 2011)

Optimizing n-variate (n+k)-nomials for small k. - Philippe P. Pébay; J. Maurice Rojas; David C. Thompson 001 (Theor. Comput. Sci., 2011)

Faster p-adic feasibility for certain multivariate sparse polynomials. - Martin E. Avendano; Ashraf Ibrahim; J. Maurice Rojas; Korben Rusek (J. Symb. Comput., 2012)

Sub-linear root detection, and new hardness results, for sparse polynomials over finite fields. - Jingguo Bi; Qi Cheng 001; J. Maurice Rojas (ISSAC, 2013)

Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. - Eleanor Anthony; Sheridan Grant; Peter Gritzmann; J. Maurice Rojas (CoRR, 2013)

Counting Tropically Degenerate Valuations and p-adic Approaches to the Hardness of the Permanent. - Pascal Koiran; Natacha Portier; J. Maurice Rojas (CoRR, 2013)

Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. - Eleanor Anthony; Sheridan Grant; Peter Gritzmann; J. Maurice Rojas (Topological and Statistical Methods for Complex Data, Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces, 2015)

A-Discriminants for Complex Exponents and Counting Real Isotopy Types. - J. Maurice Rojas; Korben Rusek (CoRR, 2016)

Sublinear Root Detection and New Hardness Results for Sparse Polynomials over Finite Fields. - Jingguo Bi; Qi Cheng 001; J. Maurice Rojas (SIAM J. Comput., 2016)

New Subexponential Fewnomial Hypersurface Bounds. - Jens Forsgård; Mounir Nisse; J. Maurice Rojas (CoRR, 2017)

Counting Roots of Polynomials Over Prime Power Rings. - Qi Cheng 001; Shuhong Gao; J. Maurice Rojas; Daqing Wan (CoRR, 2017)

Sparse univariate polynomials with many roots over finite fields. - Qi Cheng 001; Shuhong Gao; J. Maurice Rojas; Daqing Wan (Finite Fields Their Appl., 2017)

Dedekind Zeta Zeroes and Faster Complex Dimension Computation. - J. Maurice Rojas; Yuyu Zhu (CoRR, 2018)

Probabilistic Condition Number Estimates for Real Polynomial Systems II: Structure and Smoothed Analysis. - Alperen Ali Ergür; Grigoris Paouris; J. Maurice Rojas (CoRR, 2018)

Metric estimates and membership complexity for Archimedean amoebae and tropical hypersurfaces. - Martin E. Avendano; Roman Kogan; Mounir Nisse; J. Maurice Rojas (J. Complex., 2018)

A Faster Solution to Smale's 17th Problem I: Real Binomial Systems. - Grigoris Paouris; Kaitlyn Phillipson; J. Maurice Rojas (ISSAC, 2019)

Probabilistic Condition Number Estimates for Real Polynomial Systems I: A Broader Family of Distributions. - Alperen Ali Ergür; Grigoris Paouris; J. Maurice Rojas (Found. Comput. Math., 2019)

A complexity chasm for solving sparse polynomial equations over p-adic fields: extended abstract. - J. Maurice Rojas; Yuyu Zhu (ACM Commun. Comput. Algebra, 2020)

A complexity chasm for solving sparse polynomial equations over p-adic fields. - J. Maurice Rojas; Yuyu Zhu (CoRR, 2020)

Counting Real Roots in Polynomial-Time for Systems Supported on Circuits. - J. Maurice Rojas (CoRR, 2020)

Randomized polynomial-time root counting in prime power rings. - Leann Kopp; Natalie Randall; J. Maurice Rojas; Yuyu Zhu (Math. Comput., 2020)

A Complexity Chasm for Solving Univariate Sparse Polynomial Equations Over p-adic Fields. - J. Maurice Rojas; Yuyu Zhu (ISSAC, 2021)

Sub-Linear Point Counting for Variable Separated Curves over Prime Power Rings. - Caleb Robelle; J. Maurice Rojas; Yuyu Zhu (CoRR, 2021)

Root Repulsion and Faster Solving for Very Sparse Polynomials Over p-adic Fields. - J. Maurice Rojas; Yuyu Zhu (CoRR, 2021)

Smoothed analysis for the condition number of structured real polynomial systems. - Alperen Ali Ergür; Grigoris Paouris; J. Maurice Rojas (Math. Comput., 2021)

Trinomials and Deterministic Complexity Limits for Real Solving. - Erick Boniface; Weixun Deng; J. Maurice Rojas (CoRR, 2022)

Sturm's Theorem with Endpoints. - Philippe P. Pébay; J. Maurice Rojas; David C. Thompson 001 (CoRR, 2022)

Computing zeta functions of large polynomial systems over finite fields. - Qi Cheng 001; J. Maurice Rojas; Daqing Wan (J. Complex., 2022)

Quickly Computing Isotopy Type for Exponential Sums over Circuits (Extended Abstract). - Frédéric Bihan; Erika Croy; Weixun Deng; Kaitlyn Phillipson; Robert J. Rennie; J. Maurice Rojas (ACM Commun. Comput. Algebra, 2023)

Feasibility of Circuit Polynomials without Purple Swans: Feasibility without Purple Swans. - Weixun Deng; Alperen Ali Ergür; Grigoris Paouris; J. Maurice Rojas (ISSAC, 2024)

Counting Real Roots in Polynomial-Time via Diophantine Approximation. - J. Maurice Rojas (Found. Comput. Math., 2024)

Viro's patchworking and the signed reduced A-discriminant. - Weixun Deng; J. Maurice Rojas; Máté L. Telek (J. Symb. Comput., 2026)