Ekaterina Shemyakova
- Associate Chair, Mathematics and Statistics , College of Natural Sciences and Mathematics
Publications
selected publications
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Article (Faculty180)
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2023On super cluster algebras based on super Plücker and super Ptolemy relations. Journal of Geometry and Physics. 188:104776.
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2022On super Plücker embedding and cluster algebras. Selecta Mathematica. 28.
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2021On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms. Letters in Mathematical Physics. 111.
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2021On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms. Differential Geometry and its Applications . 74.
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2020Classification of Darboux transformations for operators of the form D_x D_y + a D_x + b D_y + c. Illinois J. Math. (Duke University Press). 64:71.
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2020Laplace invariants of differential operators. Illinois J. Math. (Duke University Press). in press.
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2019Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator. Lett. Math. Phys.. 109:403-421.
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2017Classification of Multidimensional Darboux Transformations: First Order and Continued Type. Symmetry, Integrability and Geometry: Methods and Applications . 13.
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2017Differential operators on the superline, Berezinians, and Darboux transformations. Lett. Math. Phys.. 107:1689-1714.
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2016An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables. Programming and Computer Software . 42:112-119.
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2015Darboux transformations for differential operators on the superline. Russian Math. Surveys. 70:1173-1175.
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2015Invertible Darboux transformations of type I. Programming and Computer Software. 41:119-125.
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2014Darboux transformations for factorable Laplace operators. Programming and Computer Software. 40:151-157.
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2013A package to work with linear partial differential operators. Programming and Computer Software. 39:212-219.
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2013Invertible Darboux Transformations. Symmetry, Integrability and Geometry: Methods and Applications. 9.
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2013Proof of the Completeness of Darboux Wronskian Formulae for Order Two. Canadian Journal of Mathematics . 65:655-674.
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2012Laplace Transformations as the Only Degenerate Darboux Transformations of First Order. Programming and Computer Software. 38:105-108.
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2011X- and Y-Invariants of Partial Differential Operators in the Plane. Programming and Computer Software. 37:192-196.
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2010A conjecture concerning a completely monotonic function. Computers & Mathematics with applications. 60:1360-1363.
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2010Refinement of two-factor factorizations of a linear partial differential operator of arbitrary order and dimension. Mathematics in Computer Science . 4:223.
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2009Differential transformations of parabolic second-order operators in the plane. Proceedings of the Steklov Institute of Mathematics. 266:219-227.
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2007Obstacles to factorization of partial differential operators into several factors. Programming and Computer Software. 33:67-73.
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2007The Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators on the Plane. Mathematics in Computer Science. 1:225.
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2006Involutive divisions for effective involutive algorithms. Fundamental and Applied Mathematics . 135:3425–3436.
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2004Involutive divisions. Graphs. Programming and Computer Software. 30:68-74.
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Article (Web of Science)
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2021On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms. LETTERS IN MATHEMATICAL PHYSICS. 111.Full Text via DOI: 10.1007/s11005-021-01383-4
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2021On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 74.Full Text via DOI: 10.1016/j.difgeo.2020.101704
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2019Differential operators on the algebra of densities and factorization of the generalized Sturm-Liouville operator. LETTERS IN MATHEMATICAL PHYSICS. 109:403-421.Full Text via DOI: 10.1007/s11005-018-1113-9
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2017Classification of Multidimensional Darboux Transformations: First Order and Continued Type. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS.Full Text via DOI: 10.3842/sigma.2017.010
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2017Differential operators on the superline, Berezinians, and Darboux transformations. LETTERS IN MATHEMATICAL PHYSICS. 107:1689-1714.Full Text via DOI: 10.1007/s11005-017-0958-7
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2016An algorithm for constructing Darboux transformations of type I for third-order hyperbolic operators of two variables. Programming and Computer Software. 42:112-119.Full Text via DOI: 10.1134/s0361768816020092
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2015Darboux transformations for differential operators on the superline. Russian Mathematical Surveys. 70:1173-1175.Full Text via DOI: 10.1070/rm2015v070n06abeh004978
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2015Invertible Darboux transformations of type I. Programming and Computer Software. 41:119-125.Full Text via DOI: 10.1134/s0361768815020085
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2014Darboux transformations for factorable Laplace operators. Programming and Computer Software. 40:151-157.Full Text via DOI: 10.1134/s0361768814030062
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2013A package to work with linear partial differential operators. Programming and Computer Software. 39:212-219.Full Text via DOI: 10.1134/s0361768813040063
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2013Invertible Darboux Transformations. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS.Full Text via DOI: 10.3842/sigma.2013.002
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2013Proof of the Completeness of Darboux Wronskian Formulae for Order Two. Canadian Journal of Mathematics. 65:655-674.Full Text via DOI: 10.4153/cjm-2012-026-7
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2012Laplace transformations as the only degenerate Darboux transformations of first order. Programming and Computer Software. 38:105-108.Full Text via DOI: 10.1134/s0361768812020053
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2011X- and Y-invariants of partial differential operators in the plane. Programming and Computer Software. 37:192-196.Full Text via DOI: 10.1134/s0361768811020095
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2010A conjecture concerning a completely monotonic function. Computers & Mathematics with Applications. 60:1360-1363.Full Text via DOI: 10.1016/j.camwa.2010.06.017
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2010Refinement of Two-Factor Factorizations of a Linear Partial Differential Operator of Arbitrary Order and Dimension. Mathematics in Computer Science. 4:223-230.Full Text via DOI: 10.1007/s11786-010-0052-3
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2009Differential transformations of parabolic second-order operators in the plane. Proceedings of the Steklov Institute of Mathematics. 266:219-227.Full Text via DOI: 10.1134/s0081543809030134
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2007Obstacles to factorization of partial differential operators into several factors. Programming and Computer Software. 33:67-73.Full Text via DOI: 10.1134/s036176880702003x
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2007Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane. Mathematics in Computer Science. 1:225-237.Full Text via DOI: 10.1007/s11786-007-0019-1
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2004Involutive Divisions. Graphs. Programming and Computer Software. 30:68-74.Full Text via DOI: 10.1023/b:pacs.0000021263.97826.ef
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Book Chapter (Web of Science)
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2012Linear Partial Differential Equations and Linear Partial Differential Operators in Computer Algebra. Texts & Monographs in Symbolic Computation. 333-358.Full Text via DOI: 10.1007/978-3-7091-0794-2_14
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Chapter (Faculty180)
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2012Linear Partial Differential Equations and Linear Partial Differential Operators in Computer Algebra. Numerical and Symbolic Scientific Computing (Part of the Texts & Monographs in Symbolic Computation book series). Springer Vienna. 333-358.
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Correction (Web of Science)
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2021On a Batalin-Vilkovisky operator generating higher Koszul brackets on differential forms (vol 111, 41, 2021). LETTERS IN MATHEMATICAL PHYSICS.Full Text via DOI: 10.1007/s11005-021-01421-1
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Proceedings (Faculty180)
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2008
Contact
full name
- Ekaterina Shemyakova
visualizations
Cumulative publications in Scholars@UToledo
