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ORCIDJ. Maurice Rojas
Person information
- affiliation: Texas A&M University, College Station, TX, USA
- affiliation (former): University of Hong Kong, Hong Kong
- affiliation (PhD 1995): University of California Berkeley, CA, USA
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Journal Articles
- 2024
[j23]J. Maurice Rojas:
Counting Real Roots in Polynomial-Time via Diophantine Approximation. Found. Comput. Math. 24(2): 639-681 (2024)- 2023
- [j22]Frédéric Bihan, Erika Croy, Weixun Deng, Kaitlyn Phillipson, Robert J. Rennie, J. Maurice Rojas:
Quickly Computing Isotopy Type for Exponential Sums over Circuits (Extended Abstract). ACM Commun. Comput. Algebra 57(3): 152-155 (2023) - 2022
- [j21]Qi Cheng, J. Maurice Rojas, Daqing Wan:
Computing zeta functions of large polynomial systems over finite fields. J. Complex. 73: 101681 (2022) - 2021
- [j20]Alperen Ali Ergür
, Grigoris Paouris, J. Maurice Rojas:
Smoothed analysis for the condition number of structured real polynomial systems. Math. Comput. 90(331): 2161-2184 (2021) - 2020
- [j19]J. Maurice Rojas, Yuyu Zhu:
A complexity chasm for solving sparse polynomial equations over p-adic fields: extended abstract. ACM Commun. Comput. Algebra 54(3): 86-90 (2020) - [j18]Leann Kopp, Natalie Randall, J. Maurice Rojas, Yuyu Zhu:
Randomized polynomial-time root counting in prime power rings. Math. Comput. 89(321): 373-385 (2020) - 2019
- [j17]Alperen Ali Ergür, Grigoris Paouris, J. Maurice Rojas:
Probabilistic Condition Number Estimates for Real Polynomial Systems I: A Broader Family of Distributions. Found. Comput. Math. 19(1): 131-157 (2019) - 2018
- [j16]Martin E. Avendano, Roman Kogan, Mounir Nisse, J. Maurice Rojas:
Metric estimates and membership complexity for Archimedean amoebae and tropical hypersurfaces. J. Complex. 46: 45-65 (2018) - 2017
- [j15]Qi Cheng, Shuhong Gao, J. Maurice Rojas, Daqing Wan:
Sparse univariate polynomials with many roots over finite fields. Finite Fields Their Appl. 46: 235-246 (2017) - 2016
- [j14]Jingguo Bi, Qi Cheng, J. Maurice Rojas:
Sublinear Root Detection and New Hardness Results for Sparse Polynomials over Finite Fields. SIAM J. Comput. 45(4): 1433-1447 (2016) - 2012
- [j13]Martin E. Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek:
Faster p-adic feasibility for certain multivariate sparse polynomials. J. Symb. Comput. 47(4): 454-479 (2012) - 2011
- [j12]Philippe P. Pébay, J. Maurice Rojas, David C. Thompson:
Optimizing n-variate (n+k)-nomials for small k. Theor. Comput. Sci. 412(16): 1457-1469 (2011) - 2008
- [j11]J. Maurice Rojas:
Book Review S. Basu, R. Pollack, and M.-F. Roy: Algorithms in Real Algebraic Geometry. Found. Comput. Math. 8(6): 765-771 (2008) - 2005
- [j10]J. Maurice Rojas, Yinyu Ye:
On solving univariate sparse polynomials in logarithmic time. J. Complex. 21(1): 87-110 (2005) - [j9]Jerod Parsons, J. Bradley Holmes, J. Maurice Rojas, Jerry Tsai, Charlie E. M. Strauss:
Practical conversion from torsion space to Cartesian space for in silico protein synthesis. J. Comput. Chem. 26(10): 1063-1068 (2005) - 2004
- [j8]Gregorio Malajovich, J. Maurice Rojas:
High probability analysis of the condition number of sparse polynomial systems. Theor. Comput. Sci. 315(2-3): 525-555 (2004) - 2003
- [j7]Tien-Yien Li, J. Maurice Rojas, Xiaoshen Wang:
Counting Real Connected Components of Trinomial Curve Intersections and m-nomial Hypersurfaces. Discret. Comput. Geom. 30(3): 379-414 (2003) - 2001
- [j6]J. Maurice Rojas:
Computational Arithmetic Geometry I. Sentences Nearly in the Polynomial Hierarchy. J. Comput. Syst. Sci. 62(2): 216-235 (2001) - 2000
- [j5]J. Maurice Rojas:
Some Speed-Ups and Speed Limits for Real Algebraic Geometry. J. Complex. 16(3): 552-571 (2000) - [j4]J. Maurice Rojas:
Uncomputably large integral points on algebraic plane curves? Theor. Comput. Sci. 235(1): 145-162 (2000) - 1999
- [j3]J. Maurice Rojas:
Solving Degenerate Sparse Polynomial Systems Faster. J. Symb. Comput. 28(1-2): 155-186 (1999) - 1996
- [j2]J. Maurice Rojas, Xiaoshen Wang:
Counting Affine Roots of Polynomial Systems via Pointed Newton Polytopes. J. Complex. 12(2): 116-133 (1996) - 1994
- [j1]J. Maurice Rojas:
A Convex Geometric Approach to Counting the Roots of a Polynomial System. Theor. Comput. Sci. 133(1): 105-140 (1994)
Conference and Workshop Papers
- 2024
- [c14]Weixun Deng, Alperen Ali Ergür, Grigoris Paouris, J. Maurice Rojas:
Feasibility of Circuit Polynomials without Purple Swans: Feasibility without Purple Swans. ISSAC 2024: 429-436 - 2021
- [c13]J. Maurice Rojas, Yuyu Zhu:
A Complexity Chasm for Solving Univariate Sparse Polynomial Equations Over p-adic Fields. ISSAC 2021: 337-344 - 2019
- [c12]Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas:
A Faster Solution to Smale's 17th Problem I: Real Binomial Systems. ISSAC 2019: 323-330 - 2013
- [c11]Jingguo Bi, Qi Cheng, J. Maurice Rojas:
Sub-linear root detection, and new hardness results, for sparse polynomials over finite fields. ISSAC 2013: 61-68 - 2010
- [c10]Martin E. Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek:
Randomized NP-completeness for p-adic rational roots of sparse polynomials in one variable. ISSAC 2010: 331-338 - 2009
- [c9]Frédéric Bihan, J. Maurice Rojas, Casey E. Stella:
Faster real feasibility via circuit discriminants. ISSAC 2009: 39-46 - [c8]Philippe P. Pébay, J. Maurice Rojas, David C. Thompson:
Optimization and NP_R-completeness of certain fewnomials. SNC 2009: 133-142 - 2003
- [c7]John Keyser, Koji Ouchi, J. Maurice Rojas:
The Exact Rational Univariate Representation for Detecting Degeneracies. Geometric and Algorithmic Aspects of Computer-Aided Design and Manufacturing 2003: 299-328 - 2002
- [c6]J. Maurice Rojas:
Additive Complexity and Roots of Polynomials over Number Fields and \mathfrak{p} -adic Fields. ANTS 2002: 506-516 - 1999
- [c5]J. Maurice Rojas:
On the Complexity of Diophantine Geometry in Low Dimensions (Abstract). CCC 1999: 3 - [c4]J. Maurice Rojas:
On the Complexity of Diophantine Geometry in Low Dimensions (Extended Abstract). STOC 1999: 527-536 - 1998
- [c3]J. Maurice Rojas:
Intrinsic Near Quadratic Complexity Bounds for Real Multivariate Root Counting. ESA 1998: 127-138 - 1997
- [c2]J. Maurice Rojas:
A new approach to counting Nash equilibria. CIFEr 1997: 130-136 - 1991
- [c1]John F. Canny, J. Maurice Rojas:
An Optimal Condition for Determining the Exact Number of Roots of a Polynomial System. ISSAC 1991: 96-102
Parts in Books or Collections
- 2015
- [p1]Eleanor Anthony, Sheridan Grant, Peter Gritzmann, J. Maurice Rojas:
Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. Topological and Statistical Methods for Complex Data, Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces 2015: 255-277
Informal and Other Publications
- 2022
- [i30]Erick Boniface, Weixun Deng, J. Maurice Rojas:
Trinomials and Deterministic Complexity Limits for Real Solving. CoRR abs/2202.06115 (2022) - [i29]Philippe P. Pébay, J. Maurice Rojas, David C. Thompson:
Sturm's Theorem with Endpoints. CoRR abs/2208.07904 (2022) - 2021
- [i28]Caleb Robelle, J. Maurice Rojas, Yuyu Zhu:
Sub-Linear Point Counting for Variable Separated Curves over Prime Power Rings. CoRR abs/2102.01626 (2021) - [i27]J. Maurice Rojas, Yuyu Zhu:
Root Repulsion and Faster Solving for Very Sparse Polynomials Over p-adic Fields. CoRR abs/2107.09173 (2021) - 2020
- [i26]J. Maurice Rojas, Yuyu Zhu:
A complexity chasm for solving sparse polynomial equations over p-adic fields. CoRR abs/2003.00314 (2020) - [i25]Qi Cheng, J. Maurice Rojas, Daqing Wan:
Computing zeta functions of large polynomial systems over finite fields. CoRR abs/2007.13214 (2020) - [i24]J. Maurice Rojas:
Counting Real Roots in Polynomial-Time for Systems Supported on Circuits. CoRR abs/2012.04868 (2020) - 2019
- [i23]Grigoris Paouris, Kaitlyn Phillipson, J. Maurice Rojas:
A Faster Solution to Smale's 17th Problem I: Real Binomial Systems. CoRR abs/1901.09739 (2019) - 2018
- [i22]J. Maurice Rojas, Yuyu Zhu:
Dedekind Zeta Zeroes and Faster Complex Dimension Computation. CoRR abs/1803.04104 (2018) - [i21]Leann Kopp, Natalie Randall, J. Maurice Rojas, Yuyu Zhu:
Randomized Polynomial-Time Root Counting in Prime Power Rings. CoRR abs/1808.10531 (2018) - [i20]Alperen Ali Ergür, Grigoris Paouris, J. Maurice Rojas:
Probabilistic Condition Number Estimates for Real Polynomial Systems II: Structure and Smoothed Analysis. CoRR abs/1809.03626 (2018) - 2017
- [i19]Jens Forsgård, Mounir Nisse, J. Maurice Rojas:
New Subexponential Fewnomial Hypersurface Bounds. CoRR abs/1710.00481 (2017) - [i18]Qi Cheng, Shuhong Gao, J. Maurice Rojas, Daqing Wan:
Counting Roots of Polynomials Over Prime Power Rings. CoRR abs/1711.01355 (2017) - 2016
- [i17]J. Maurice Rojas, Korben Rusek:
A-Discriminants for Complex Exponents and Counting Real Isotopy Types. CoRR abs/1612.03458 (2016) - 2014
- [i16]Qi Cheng, Shuhong Gao, J. Maurice Rojas, Daqing Wan:
Sparse Univariate Polynomials with Many Roots Over Finite Fields. CoRR abs/1411.6346 (2014) - 2013
- [i15]Martin E. Avendano, Roman Kogan, Mounir Nisse, J. Maurice Rojas:
Metric Estimates and Membership Complexity for Archimedean Amoebae and Tropical Hypersurfaces. CoRR abs/1307.3681 (2013) - [i14]Pascal Koiran, Natacha Portier, J. Maurice Rojas:
Counting Tropically Degenerate Valuations and p-adic Approaches to the Hardness of the Permanent. CoRR abs/1309.0486 (2013) - [i13]Eleanor Anthony, Sheridan Grant, Peter Gritzmann, J. Maurice Rojas:
Polynomial-Time Amoeba Neighborhood Membership and Faster Localized Solving. CoRR abs/1312.6547 (2013) - 2012
- [i12]Jingguo Bi, Qi Cheng, J. Maurice Rojas:
Sub-Linear Root Detection, and New Hardness Results, for Sparse Polynomials Over Finite Fields. CoRR abs/1204.1113 (2012) - 2011
- [i11]Osbert Bastani, Christopher J. Hillar, Dimitar Popov, J. Maurice Rojas:
Randomization, Sums of Squares, and Faster Real Root Counting for Tetranomials and Beyond. CoRR abs/1101.2642 (2011) - 2010
- [i10]Martin E. Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek:
Near NP-Completeness for Detecting p-adic Rational Roots in One Variable. CoRR abs/1001.4252 (2010) - [i9]Martin E. Avendano, Ashraf Ibrahim, J. Maurice Rojas, Korben Rusek:
Faster p-adic Feasibility for Certain Multivariate Sparse Polynomials. CoRR abs/1010.5310 (2010) - [i8]Kaitlyn Phillipson, J. Maurice Rojas:
Fewnomial Systems with Many Roots, and an Adelic Tau Conjecture. CoRR abs/1011.4128 (2010) - 2009
- [i7]Frédéric Bihan, J. Maurice Rojas, Casey E. Stella:
Faster Real Feasibility via Circuit Discriminants. CoRR abs/0901.4400 (2009) - 2007
- [i6]Joel Gomez, Andrew Niles, J. Maurice Rojas:
New Complexity Bounds for Certain Real Fewnomial Zero Sets. CoRR abs/0709.2405 (2007) - 2005
- [i5]J. Maurice Rojas:
Efficiently Detecting Torsion Points and Subtori. CoRR abs/math/0501388 (2005) - 2004
- [i4]J. Maurice Rojas, Casey E. Stella:
New Complexity Thresholds for Sparse Real Polynomials and A-discriminants. CoRR math.AG/0411107 (2004) - 2003
- [i3]J. Maurice Rojas:
A Direct Ultrametric Approach to Additive Complexity and the Shub-Smale Tau Conjecture. CoRR math.NT/0304100 (2003) - 1998
- [i2]J. Maurice Rojas:
Solving Degenerate Sparse Polynomial Systems Faster. CoRR math.AG/9809071 (1998) - [i1]J. Maurice Rojas:
Uncomputably Large Integral Points on Algebraic Plane Curves? CoRR math.NT/9809009 (1998)
Coauthor Index
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