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Research interests
Engineering and Technology
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Dive into the research topics where Matias Bender is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Bigraded Castelnuovo-Mumford regularity and Gröbner bases
Bender, M., Busé, L., Checa, C. & Tsigaridas, E., 1 Mar 2026, In: Journal of Symbolic Computation. 133, 102487.Research output: Contribution to journal › Article › peer-review
Open Access -
Solving bihomogeneous polynomial systems with a zero-dimensional projection
Bender, M., Busé, L., Checa, C. & Tsigaridas, E., 10 Nov 2025, ISSAC 2025 - Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation. D'Andrea, C., Diaz, S. P. & Laplagne, S. (eds.). Association for Computing Machinery, Inc, p. 206-214 9 p. (ISSAC 2025 - Proceedings of the 2025 International Symposium on Symbolic and Algebraic Computation).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Open Access -
Dimension results for extremal-generic polynomial systems over complete toric varieties
Bender, M. & Spaenlehauer, P. J., 15 May 2024, In: Journal of Algebra. 646, p. 156-182 27 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Solving Sparse Polynomial Systems using Gröbner Bases and Resultants
Bender, M. R., 4 Jul 2022, ISSAC 2022 - Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation47th International Symposium on Symbolic and Algebraic Computation, ISSAC 2022. Hashemi, A. (ed.). Association for Computing Machinery, p. 21-30 10 p. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Open Access -
TORIC EIGENVALUE METHODS FOR SOLVING SPARSE POLYNOMIAL SYSTEMS
Bender, M. R. & Telen, S., 1 Jan 2022, In: Mathematics of Computation. 91, 337, p. 2397-2429 33 p.Research output: Contribution to journal › Article › peer-review
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A nearly optimal algorithm to decompose binary forms
Bender, M. R., Faugère, J. C., Perret, L. & Tsigaridas, E., 1 Jul 2021, In: Journal of Symbolic Computation. 105, p. 71-96 26 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems
Bender, M. R., Faugère, J. C., Mantzaflaris, A. & Tsigaridas, E., 1 Jan 2021, In: SIAM Journal on Applied Algebra and Geometry. 5, 4, p. 589-619 31 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Classifier Construction in Boolean Networks Using Algebraic Methods
Schwieger, R., Bender, M. R., Siebert, H. & Haase, C., 1 Jan 2020, Computational Methods in Systems Biology - 18th International Conference, CMSB 2020, Proceedings. Abate, A., Petrov, T. & Wolf, V. (eds.). Springer Science and Business Media Deutschland GmbH, p. 210-233 24 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 12314 LNBI).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Open Access -
Gröbner basis over semigroup algebras: Algorithms and applications for sparse polynomial systems
Bender, M. R., Faugère, J. C. & Tsigaridas, E., 8 Jul 2019, ISSAC 2019 - Proceedings of the 2019 ACM International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, p. 42-49 8 p. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Open Access -
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors
Bender, M. R., Mantzaflaris, A., Faugère, J. C. & Tsigaridas, E., 11 Jul 2018, ISSAC 2018 - Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation. Association for Computing Machinery, p. 63-70 8 p. (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review