Anton Leykin, Ph.D. - Publications

Affiliations: 
2003 University of Minnesota, Twin Cities, Minneapolis, MN 
Area:
Mathematics

25 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Hauenstein JD, Leykin A, Rodriguez JI, Sottile F. A numerical toolkit for multiprojective varieties Ieee Communications Magazine. 1. DOI: 10.1090/Mcom/3566  0.325
2019 Duff T, Hill C, Jensen AN, Lee K, Leykin A, Sommars J. Solving polynomial systems via homotopy continuation and monodromy Ima Journal of Numerical Analysis. 39: 1421-1446. DOI: 10.1093/Imanum/Dry017  0.342
2019 Draisma J, Lason M, Leykin A. Stillman’s conjecture via generic initial ideals Communications in Algebra. 47: 2384-2395. DOI: 10.1080/00927872.2019.1574806  0.445
2019 Leykin A, Yu J. Beyond polyhedral homotopies Journal of Symbolic Computation. 91: 173-180. DOI: 10.1016/J.Jsc.2018.06.019  0.467
2017 Leykin A, Plaumann D. Determinantal representations of hyperbolic curves via polynomial homotopy continuation Ieee Communications Magazine. 86: 2877-2888. DOI: 10.1090/Mcom/3194  0.39
2017 Krone R, Leykin A. Numerical algorithms for detecting embedded components Journal of Symbolic Computation. 82: 1-18. DOI: 10.1016/J.Jsc.2016.12.004  0.411
2017 Krone R, Leykin A. Eliminating dual spaces Journal of Symbolic Computation. 79: 609-622. DOI: 10.1016/J.Jsc.2016.07.022  0.384
2017 Krone R, Leykin A, Snowden A. Hilbert series of symmetric ideals in infinite polynomial rings via formal languages Journal of Algebra. 485: 353-362. DOI: 10.1016/J.Jalgebra.2017.05.014  0.367
2016 Leykin A. Polynomial homotopy continuation in Macaulay2 Acm Communications in Computer Algebra. 50: 113-116. DOI: 10.1145/3015306.3015316  0.326
2016 Jensen A, Leykin A, Yu J. Computing Tropical Curves via Homotopy Continuation Experimental Mathematics. 25: 83-93. DOI: 10.1080/10586458.2015.1037407  0.396
2015 Draisma J, Eggermont R, Krone R, Leykin A. Noetherianity for infinite-dimensional toric varieties Algebra and Number Theory. 9: 1857-1880. DOI: 10.2140/Ant.2015.9.1857  0.413
2013 Beltrán C, Leykin A. Robust Certified Numerical Homotopy Tracking Foundations of Computational Mathematics. 13: 253-295. DOI: 10.1007/S10208-013-9143-2  0.443
2012 Beltrán C, Leykin A. Certified numerical homotopy tracking Experimental Mathematics. 21: 69-83. DOI: 10.1080/10586458.2011.606184  0.414
2010 Leykin A. Abstract only: Certified numerical solving of systems of polynomial equations Acm Communications in Computer Algebra. 44: 24-24. DOI: 10.1145/1838599.1838610  0.407
2010 Berkesch C, Leykin A. Algorithms for Bernstein-Sato polynomials and multiplier ideals Proceedings of the International Symposium On Symbolic and Algebraic Computation, Issac. 99-106.  0.336
2009 Leykin A, Verschelde J. Decomposing solution sets of polynomial systems: A new parallel monodromy breakup algorithm International Journal of Computational Science and Engineering. 4: 94-101. DOI: 10.1504/IJCSE.2009.027001  0.319
2009 Leykin A, Sottile F. Galois groups of Schubert problems via homotopy computation Mathematics of Computation. 78: 1749-1765. DOI: 10.1090/S0025-5718-09-02239-X  0.384
2009 Aschenbrenner M, Leykin A. Degree bounds for Gröbner bases in algebras of solvable type Journal of Pure and Applied Algebra. 213: 1578-1605. DOI: 10.1016/J.Jpaa.2008.11.022  0.423
2007 Leykin A, Sottile F. Computing monodromy via parallel homotopy continuation Pasco'07: Proceedings of the 2007 International Workshop On Parallel Symbolic Computation. 97-98. DOI: 10.1145/1278177.1278195  0.399
2006 Leykin A, Verschelde J, Zhao A. Newton's method with deflation for isolated singularities of polynomial systems Theoretical Computer Science. 359: 111-122. DOI: 10.1016/J.Tcs.2006.02.018  0.381
2006 Àlvarez Montaner J, Leykin A. Computing the support of local cohomology modules Journal of Symbolic Computation. 41: 1328-1344. DOI: 10.1016/J.Jsc.2006.09.001  0.397
2006 Leykin A, Verschelde J, Zhuang Y. Parallel homotopy algorithms to solve polynomial systems Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 4151: 225-234.  0.309
2004 Leykin A. On parallel computation of Gröbner bases Proceedings of the International Conference On Parallel Processing Workshops. 160-164. DOI: 10.1109/ICPPW.2004.1328011  0.355
2004 Leykin A. Algorithmic proofs of two theorems of Stafford Journal of Symbolic Computation. 38: 1535-1550. DOI: 10.1016/J.Jsc.2004.07.003  0.415
2001 Leykin A. Constructibility of the set of polynomials with a fixed Bernstein-Sato polynomial: An algorithmic approach Journal of Symbolic Computation. 32: 663-675. DOI: 10.1006/Jsco.2001.0488  0.31
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