| Fields of interest |
Discrete Differential Geometry, Integrable Systems, Quantum Groups and their representations,
Riemann Surfaces, Algebraic Geometry, Tropical Geometry, Quantum Mechanics
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Publications
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"Path integral representation of the evolution operator for the Dirac equation"
Authors:
Alexander S. Lukyanenko, Inna A. Lukyanenko
"Quantum Geometry of a Configuration Space in a Covariant Dynamical Theory"
Authors:
Alexander Lukyanenko, Natalia Gorobey, Inna Lukyanenko
"Generalized Canonical Form of a Multi-Time Dynamical Theory and Quantization"
Authors:
Alexander Lukyanenko, Natalia Gorobey, Inna Lukyanenko
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Conferences
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10th International Workshop on New Approaches to High-Tech, Olsztyn, Poland, July 5 - 8, 2006
Joint Advanced Student School, St.Petersburg, Russia, March 25 - April 4, 2007
Colloquium on Combinatorics, Magdeburg, Germany, November 14 - 15, 2008
Workshop "Geometry and Integrability", Obergurgl, Austria, December 13 - 20, 2008
Oberwolfach - Conference "Discrete Differential Geometry", Oberwolfach, Germany, January 11-17, 2009
Conference on Algorithmic and Combinatorial Geometry, Budapest, Hungary, June 15-19, 2009
Workshop "Surfaces, Meshes, Geometric Structures", Admont, Austria, July 6-9, 2009
Geometry Summer School, Lisbon, Portugal, July 13-17, 2009
Workshop "Dirac operators and special Geometries", Marburg, Germany, September 24-27, 2009
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Education
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2003-2008 Chair of Mathematical Physics, Department of Mathematics and Mechanics, St. Petersburg State University
Diploma thesis:
"Fundamental R-matrix for the quantum integrable model with symmetry algebra GL_q(2)"
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