J. Rojas

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Counting Real Roots in Polynomial-Time via Diophantine Approximation

J. M. Rojas, J. Rojas, 2022, Found. Comput. Math..

Trinomials and Deterministic Complexity Limits for Real Solving

Eric Boniface, Wei Deng, J. Rojas, 2022, ArXiv.

Root Repulsion and Faster Solving for Very Sparse Polynomials Over p-adic Fields pdf

J. Maurice Rojas, J. M. Rojas, Yuyu Zhu, 2021, Journal of Number Theory.

Sub-Linear Point Counting for Variable Separated Curves over Prime Power Rings pdf

J. Maurice Rojas, Caleb Robelle, Yuyu Zhu, 2021, ArXiv.

A Complexity Chasm for Solving Univariate Sparse Polynomial Equations Over p-adic Fields

J. M. Rojas, Yuyu Zhu, J. Rojas, 2020, ISSAC.

Counting Tropically Degenerate Valuations and p-adic Approaches to the Hardness of the Permanent pdf

J. Maurice Rojas, Pascal Koiran, Natacha Portier, 2013, ArXiv.

Ju l 2 02 1 ROOT REPULSION AND FASTER SOLVING FOR VERY SPARSE POLYNOMIALS OVER p-ADIC FIELDS

J. M. Rojas, Yuyu Zhu, J. Rojas, 2021 .

M ar 2 02 0 A COMPLEXITY CHASM FOR SOLVING SPARSE POLYNOMIAL EQUATIONS OVER p-ADIC FIELDS

J. M. Rojas, Yuyu Zhu, J. Rojas, 2020 .

Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz

J. M. Rojas, J. Rojas, 2003, math/0301111.

Finiteness for Arithmetic Fewnomial Systems

J. M. Rojas, J. Rojas, 2000, math/0010260.

A Number Theoretic Interpolation Between Quantum and Classical Complexity Classes

J. M. Rojas, J. Rojas, 2006, quant-ph/0604089.

Tropical varieties for exponential sums

J. M. Rojas, G. Paouris, A. A. Ergür, 2019, Mathematische Annalen.

Tropical varieties for exponential sums

J. M. Rojas, G. Paouris, A. A. Ergür, 2014, Mathematische Annalen.

Tropical Varieties for Exponential Sums and their Distance to Amoebae

J. M. Rojas, G. Paouris, A. A. Ergür, 2014 .

Practical conversion from torsion space to Cartesian space for in silico protein synthesis

J. Maurice Rojas, Charlie E. M. Strauss, Jerry Tsai, 2005, J. Comput. Chem..

Dedekind Zeta Zeroes and Faster Complex Dimension Computation pdf

J. Maurice Rojas, Yuyu Zhu, Yuyu Zhu, 2018, ArXiv.

Counting Affine Roots of Polynomial Systems via Pointed Newton Polytopes

Xiaoshen Wang, J. Rojas, 1996, J. Complex..

Correction to: Tropical varieties for exponential sums

J. Maurice Rojas, Alperen A. Ergür, Grigoris Paouris, 2021, Mathematische Annalen.

Counting Roots of Polynomials Over Prime Power Rings pdf

J. Maurice Rojas, Qi Cheng, Shuhong Gao, 2017, The Open Book Series.

Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond pdf

J. Maurice Rojas, Osbert Bastani, Christopher J. Hillar, 2011, ArXiv.

Faster p-adic feasibility for certain multivariate sparse polynomials

J. Maurice Rojas, Ashraf Ibrahim, Martin Avendano, 2010, J. Symb. Comput..

Near NP-Completeness for Detecting p-adic Rational Roots in One Variable pdf

J. Maurice Rojas, Ashraf Ibrahim, Martin Avendano, 2010, ArXiv.

Algorithmic Arithmetic Fewnomial Theory I: One Variable pdf

J. Maurice Rojas, Ashraf Ibrahim, Korben Rusek, 2007, ArXiv.

Interpolating Between Quantum and Classical Complexity Classes

J. M. Rojas, J. Rojas, 2006 .

Algebraic Geometry Over Four Rings and the Frontier to Tractability

J. M. Rojas, J. Rojas, 2000, math/0005204.

Toric laminations, sparse generalized characteristic polynomials, and a refinement of Hilbert's tenth problem

Joseph Maurice Rojas, J. Rojas, 1997 .

Some New Applications of Toric Geometry

J. Maurice Rojas, J. Rojas, 1997, math/9702221.

ANTS XIII Proceedings of the Thirteenth Algorithmic Number Theory Symposium msp Counting roots for polynomials modulo prime powers

J. M. Rojas, Qi Cheng, J. Rojas, 2019 .

Counting roots for polynomials modulo prime powers

J. M. Rojas, Shuhong Gao, Qi Cheng, 2018 .

Randomization , Sums of Squares , Near-Circuits , and Faster Real Root Counting

J. M. Rojas, C. Hillar, Osbert Bastani, 2011 .

N T ] 1 6 N ov 2 00 7 Algorithmic Arithmetic Fewnomial Theory I : One Variable ( Extended Abstract )

J. M. Rojas, K. Rusek, Ashraf Ibrahim, 2007 .

Arithmetic Multivariate Descartes' Rule 1

J. M. Rojas, J. Rojas, 2004 .

Faster real feasibility via circuit discriminants pdf

J. Maurice Rojas, Frédéric Bihan, Casey E. Stella, 2009, ISSAC '09.

New Complexity Thresholds for Sparse Real Polynomials and A-discriminants

J. Maurice Rojas, Casey E. Stella, J. M. Rojas, 2004, ArXiv.

First Steps in Algorithmic Fewnomial Theory

J. Maurice Rojas, Casey E. Stella, J. M. Rojas, 2004, math/0411107.

First Steps in Algorithmic Real Fewnomial Theory

J. M. Rojas, Frédéric Bihan, Casey E. Stella, 2006 .

Fe b 20 05 First Steps in Algorithmic Fewnomial Theory ( Extended Abstract )

J. M. Rojas, Casey E. Stella, J. Rojas, 2005 .

On the Average Number of Real Roots of Certain Random Sparse Polynomial Systems

J. M. Rojas, Joseph Maurice Rojas, J. Rojas, 1996 .

A new approach to counting Nash equilibria

J. Maurice Rojas, J. Rojas, 1997, Proceedings of the IEEE/IAFE 1997 Computational Intelligence for Financial Engineering (CIFEr).

BOUNDS ON CODES FROM SMOOTH TORIC THREEFOLDS iii ABSTRACT Bounds on Codes from Smooth Toric Threefolds with Rank(Pic(X)) = 2. (August 2008)

Peter F. Stiller, J. M. Rojas, A. Klappenecker, 2008 .

The Exact Rational Univariate Representation and Its Application

J. M. Rojas, J. Keyser, Koji Ouchi, 2003 .

Random Sparse Polynomial Systems

J. M. Rojas, G. Malajovich, J. Rojas, 2000, math/0012104.

N A ] 1 3 D ec 2 00 0 Random Sparse Polynomial Systems

J. M. Rojas, G. Malajovich, J. Rojas, 2000 .

Intrinsic Near Quadratic Complexity Bounds for Real Multivariate Root Counting

J. Maurice Rojas, J. Rojas, Hong Kongfax, 1998, ESA.

Sparse univariate polynomials with many roots over finite fields

Shuhong Gao, D. Wan, Qi Cheng, 2014, Finite Fields Their Appl..

Computing zeta functions of large polynomial systems over finite fields pdf

J. Maurice Rojas, Qi Cheng, Daqing Wan, 2020, J. Complex..

M ar 2 02 0 A COMPLEXITY CHASM FOR SOLVING SPARSE POLYNOMIAL EQUATIONS OVER p-ADIC FIELDS pdf

J. Maurice Rojas, Yuyu Zhu, Yuyu Zhu, 2020 .

Counting Positive Roots in Polynomial-Time for Systems Supported on Circuits

J. M. Rojas, J. Rojas, 2020 .

Optimization and NP_R-completeness of certain fewnomials

J. Maurice Rojas, David C. Thompson, Philippe P. Pébay, 2009, SNC '09.

Extremal Real Algebraic Geometry and A-Discriminants

J. M. Rojas, A. Dickenstein, K. Rusek, 2006, math/0609485.

2 7 Ju n 19 96 TORIC INTERSECTION THEORY FOR AFFINE ROOT COUNTING 1

J. M. Rojas, J. Rojas, 1999 .

TORIC INTERSECTION THEORY FOR AFFINE ROOT COUNTINGJ

J. M. Rojas, J. Rojas, 1997 .