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Dr. habil. Stepan DoupliiPen/scientific name Steven Duplij Center for Information Technology University of Münster Röntgenstr. 7-13 (Rm. 115 in №9) 48149 Münster T: +49 251 83-31530 F: +49 251 83-31555 Previous homepage (with other activities): Steven Duplij's homepage Ancient unupdated version : Steven Duplij's U.S. homepage |
Research Areas
Quantum computing, mathematics, theoretical physics.
On Web
CV
Degrees
2002 The academic status of Senior Research Fellow is given by Higher Certifying Commission, Kiev, Ukraine1999 Habilitation Thesis: "Semigroup Methods in Supersymmetric Theories of Elementary Particles", Bogolyubov Institute of Theoretical Physics, Kiev, Ukraine, Doctor Habilitatus in Theoretical Physics (Doctor of Science in Physics and Mathematics)
1983 Ph.D. Thesis: "Theoretical Investigation of Hard Processes in QCD";
1978-1982 Post Graduate Course in Theoretical Physics, Kharkov State University; PhD (Candidate of Science in Physics and Mathematics); adviser M.P. Rekalo
Education
1994-1995 Special German Language Course, Goethe Institute, Mannheim, Germany; Distinguished diploma1974-1978 Department of Theoretical Physics, Kharkov State University; The Distinguished Diploma in Theoretical Nuclear Physics - M.Sc.
1973-1976 Special English Language Course, Kharkov State University; The Distinguished Diploma
1973-1974 Department of Theoretical Radiophysics, Kharkov State University
Positions
2018-present Senior Staff Researcher, Center for Information Technology, Universität Münster, Münster, Germany2016-2017 Lecturer in Mathematics, University of Applied Sciences, Bochum, Germany
2014-2016 Scientific Researcher at the Mathematisches Institut, Universität Münster, Münster, Germany
2000-2014 Lead Senior Staff Researcher, Nuclear Physics Laboratory, Kharkov National University, Kharkov, Ukraine
1983-1992 Staff Researcher, Nuclear Physics Laboratory, Kharkov State University, Kharkov, Ukraine
Grants
2011-2012 Fulbright Scholar Program, Rutgers University, Piscataway, USA (Host: G.A. Goldin) Fulbright S.D. Profile2007 American Physical Society Travel Grant, Johns Hopkins University, USA (Host: J. Bagger)
1994-1997 Alexander von Humboldt Fellowship, University of Kaiserslautern, Kaiserslautern, Germany (Host: W. Rϋhl) AvH S.D. Profile
Coeditors
J. Bagger, W. Siegel, M.L. Walker, J. Wess, V. Zima
Coauthors
V.P. Akulov, A.Yu. Berezhnoy, A. Borowiec, A.J. Bruce, N. Chashchin, V.V. Chitov, M. Chursin, A. Frydryszak, O.M. Getmanetz, E. Di Grezia, W. Dudek, D. Duplij, V. Duplij, G. Esposito, G.A. Goldin, Y. Hong, V.V. Kalashnikov, O.I. Kotulska, A.T. Kotvytskiy, G.Ch. Kurinnoj, S.V. Landar, F. Li, Y.G. Mashkarov, W. Marcinek, E.A. Maslov, N.M. Pelykhaty, M.P. Rekalo, M.A. Rukavitsyn, A. Sadovnikov, Z.S. Sagan, S. Sinel'shchikov, I.I. Shapoval, V.M. Shtelen, D.V. Soroka, V.A. Soroka, S.A. Steshenko, R. Vogl, M.L. Walker, W. Werner, I.I. Zalyubovsky
Publications
Recent 2018-20242024
S. Duplij, Polyadic sigma matrices, preprint arXiv:2403.19361 [math.GT], 19 pages, 2024.2023
BooksS. Duplij, R. Vogl, Innovative Quantum Computing, IOP Publishing (Bristol-London) 2023, 178 pages.
Articles
S. Duplij, R. Vogl, Polyander visualization of quantum walks, preprint arXiv:2311.00409 [quant-ph], 12 pages, 2023.
S. Duplij, R. Vogl, On superqubits, preprint arXiv:2310.09635 [quant-ph], 14 pages, 2023.
S. Duplij, Hyperpolyadic structures, preprint arXiv:2312.01366 [math.RA], 29 pages, 2023.
2022
BooksS. Duplij, Polyadic Algebraic Structures, IOP Publishing (Bristol-London) 2022, 461 pages.
Selected Topics in Gravity, Field Theory and Quantum Mechanics, S. Duplij and M.L. Walker, Editors, MDPI Books, Basel, 2022, 348 pages. https://www.mdpi.com/books/book/6455.
Articles
S. Duplij, Polyadic analogs of direct product, Universe 8 (2022), 230.
S. Duplij, Polyadic rings of p-adic integers, Symmetry 14 (2022), 2591.
S. Duplij, Polyadization of algebraic structures, Symmetry 14 (2022), 1782.
M.L. Walker and S. Duplij, Gauge gravity vacuum in constraintless Clairaut-type formalism, Universe 8 (2022), 176.
S. Duplij and W. Werner, Extensions of special 3-fields, preprint arXiv:2212.08606 [math.RA], 22 pages, 2022.
2021
ArticlesS. Duplij and W. Werner, Structure of unital 3-fields, Math. Semesterber. 68 (2021), 27–53.
S. Duplij, Polyadic Hopf algebras and quantum groups, East European J. Phys. 2 (2021), 5–50 (arXiv:1811.02712).
S. Duplij, Higher braid groups and regular semigroups from polyadic-binary correspondence, Mathematics 9 (2021), 972.
S. Duplij, Graded medial n-ary algebras and polyadic tensor categories, Symmetry 13 (2021), 1038.
M. L. Walker and S. Duplij, Gauge gravity vacuum in constraintless Clairaut-type formalism, preprint arXiv: 2106.07723, 23 pages, 2021.
S. Duplij and R. Vogl, Polyadic braid operators and higher braiding gates, Universe 7 (2021), 301.
S. Duplij and R. Vogl, Obscure qubits and membership amplitudes, in Topics on Quantum Information Science, S. Curilef and A. R. Plastino, eds., IntechOpen, London, 2021, 20 pp.
S. Duplij, Membership deformation of commutativity and obscure n-ary algebras, J. Math. Physics, Analysis, Geometry 17 (2021), 441–462 (arXiv:2006.07865).
A.J. Bruce and S. Duplij, Double-graded quantum superplane, Rep. Math. Phys. 86 (2020), 383–400 (arXiv:1910.12950).
A.J. Bruce and S. Duplij, Double-graded supersymmetric quantum mechanics, J. Math. Phys. 61 (2020), 063503, 13 ( arXiv:1904.06975).
2019
ArticlesS. Duplij, Supergravity Was Discovered by D.V. Volkov and V.A. Soroka in 1973, Wasn’t it? East European J. Phys. (2019), 3, 81-82 (arXiv:1910.03259).
S. Duplij, Arity shape of polyadic algebraic structures, J. Math. Physics, Analysis, Geometry 15 (2019), 3–56 (arXiv:1703.10132).
A.J. Bruce and S. Duplij, Double-graded quantum superplane, Univ. Luxembourg, preprint arXiv:1910.12950, 2019.
2018
BooksS. Duplij, Exotic Algebraic and Geometric Structures in Theoretical Physics, Nova Publishers, New York, 2018, 410 pp.
Articles
G.A. Goldin, V.M. Shtelen, and S. Duplij, Conformal symmetry transformations and nonlinear Maxwell equations, in Mathematical Structures and Applications, T. Diagana and B. Toni, eds., Springer, Berlin, 2018, pp. 211–224.
S. Duplij, Polyadic Hopf algebras and quantum groups, preprint arXiv:math.RA/1811.02712, 57 pages, 2018.