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| {{Infobox scientist
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| |name = Gennadi Sardanashvily
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| |image =
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| |image_size = 160px
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| |birth_date = {{birth date|1950|3|13|mf=y}}
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| |birth_place = [[Moscow]], [[Soviet Union]]
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| |death_date =
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| |residence = [[Russia]]
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| |citizenship = [[Russia]]
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| |nationality =
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| |ethnicity =
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| |fields = [[Theoretical Physics]]
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| |workplaces = Department of Theoretical Physics [[Moscow State University]]
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| |alma_mater = [[Moscow State University]]
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| |doctoral_advisor = [[Dmitri Ivanenko]]
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| |doctoral_students =
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| }}
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| '''Gennadi Sardanashvily''' ({{lang-ru|Генна́дий Алекса́ндрович Сарданашви́ли}}; born March 13, 1950) is a theoretical physicist, a principal research scientist of [[Moscow State University]].
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| == Biography ==
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| Gennadi Sardanashvily graduated from [[Moscow State University]] (MSU) in 1973, he was a Ph.D. student of the Department of Theoretical Physics ([[Moscow State University|MSU]]) in 1973–76, where he held a position in 1976.
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| He attained his Ph.D. degree in physics and mathematics from [[Moscow State University|MSU]], in 1980, with [[Dmitri Ivanenko]] as his supervisor, and his D.Sc. degree in physics and mathematics from [[Moscow State University|MSU]], in 1998.
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| Gennadi Sardanashvily is the founder and Managing Editor (2003 - 2013) of the [[International Journal of Geometric Methods in Modern Physics]] (IJGMMP).
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| ==Research area==
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| Gennadi Sardanashvily research area is geometric methods in [[classical mechanics|classical]] and [[quantum mechanics]] and [[classical field theory|field theory]], [[gravitation|gravitation theory]]. His main achievement is geometric formulation of [[classical field theory]] and [[non-autonomous mechanics]] including:
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| * [[gauge gravitation theory]], where gravity is treated as a [[Higgs field (classical)|classical Higgs field]] associated to a reduced Lorentz structure on a world manifold<ref>[[Dmitri Ivanenko|''D. Ivanenko'']], ''G. Sardanashvily'', The gauge treatment of gravity, Physics Reports '''94''' (1983) 1–45.</ref>
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| * geometric formulation of [[classical field theory]]<ref>''G. Giachetta, L. Mangiarotti, G. Sardanashvily'', Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology, Commun. Math. Phys. '''295''' (2005) 103–128; [http://xxx.lanl.gov/abs/hep-th/0407185 arXiv: hep-th/0407185].</ref> and Lagrangian [[BRST formalism|BRST]] theory<ref>''D. Bashkirov, G. Giachetta, L. Mangiarotti, G. Sardanashvily'', The KT-BRST complex of a degenerate Lagrangian theory, Lett. Math. Phys. '''83''' (2008) 237–252; [http://xxx.lanl.gov/abs/math-ph/0702097 arXiv: math-ph/0702097].</ref> where classical fields are represented by sections of [[fiber bundle]]s and their dynamics is described in terms of [[jet bundle|jet manifolds]] and the [[variational bicomplex]] ([[covariant classical field theory]])
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| * [[covariant Hamiltonian field theory|covariant (polysymplectic) Hamiltonian field theory]], where momenta correspond to derivatives of fields with respect to all world coordinates<ref>''G. Giachetta, L. Mangiarotti, G. Sardanashvily'', Covariant Hamiltonian equations for field theory, J. Phys. A '''32''' (1999) 6629–6642; [http://xxx.lanl.gov/abs/hep-th/9904062 arXiv: hep-th/9904062].</ref>
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| * the [[Noether's second theorem|second Noether theorem]] in a very general setting of [[Noether identities|reducible degenerate]] Grassmann-graded [[Lagrangian system]]s on an arbitrary manifold<ref>''G. Giachetta, L. Mangiarotti, G. Sardanashvily'', On the notion of gauge symmetries of generic Lagrangian field theory, J. Math. Phys. '''50''' (2009) 012903; [http://xxx.lanl.gov/abs/0807.3003 arXiv: 0807.3003].</ref>
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| * geometric formulation of classical<ref>''G. Sardanashvily'', Hamiltonian time-dependent mechanics, J. Math. Phys. '''39''' (1998) 2714–2729.</ref> and quantum<ref>''L.Mangiarotti, G. Sardanashvily'', Quantum mechanics with respect to different reference frames, J. Math. Phys. '''48''' (2007) 082104; [http://xxx.lanl.gov/abs/quant-ph/0703266 arXiv: quant-ph/0703266].</ref> [[non-autonomous mechanics]] on [[fiber bundle]]s over <math>\mathbb R</math>
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| * generalization of the Liouville–Arnold, Nekhoroshev and Mishchenko–Fomenko theorems on [[integrable system|completely]] and [[integrable system|partially integrable]] and [[superintegrable Hamiltonian system]]s to the case of non-compact invariant submanifolds<ref>''E. Fiorani, G. Sardanashvily'', Global action-angle coordinates for completely integrable systems with non-compact invariant submanifolds, J. Math. Phys. '''48''' (2007) 032901; [http://xxx.lanl.gov/abs/math/0610790 arXiv: math/0610790].</ref>
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| * cohomology of the [[variational bicomplex]] of [[graded manifold |graded differential forms]] of finite jet order on an infinite order jet manifold.<ref>''G. Sardanashvily'', Graded infinite order jet manifolds, Int. J. Geom. Methods Mod. Phys. '''4''' (2007) 1335–1362; [http://xxx.lanl.gov/abs/0708.2434 arXiv: 0708.2434]</ref>
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| Gennadi Sardanashvily has published more than 300 scientific works, including 24 books.
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| == Selected monographs ==
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| *{{Citation
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| | last = Sardanashvily
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| | first = G.
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| | last2 = Zakharov
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| | first2 = 0.
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| | year = 1992
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| | title = Gauge Gravitation Theory
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| | publisher = World Scientific
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| | isbn = 981-02-0799-9
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| }}.
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| *{{Citation
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| | last = Sardanashvily
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| | first = G.
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| | year = 1993
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| | title = Gauge Theory on Jet Manifolds
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| | publisher = Hadronic Press
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| | isbn = 0-911767-60-6
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| }}.
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| *{{Citation
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| | last = Sardanashvily
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| | first = G.
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| | year = 1995
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| | title = Generalized Hamiltonian Formalism for Field Theory
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| | publisher = World Scientific
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| | isbn = 981-02-2045-6
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| }}.
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| *{{Citation
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| | last = Giachetta
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| | first = G.
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| | last2 = Mangiarotti
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| | first2 = L.
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| | last3 = Sardanashvily
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| | first3 = G.
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| | year = 1997
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| | title = New Lagrangian and Hamiltonian Methods in Field Theory
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| | publisher = World Scientific
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| | isbn = 981-02-1587-8
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| }}.
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| *{{Citation
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| | last = Mangiarotti
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| | first = L.
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| | last2 = Sardanashvily
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| | first2 = G.
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| | year = 1998
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| | title = Gauge Mechanics
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| | publisher = World Scientific
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| | isbn = 981-02-3603-4
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| }}.
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| *{{Citation
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| | last = Mangiarotti
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| | first = L.
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| | last2 = Sardanashvily
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| | first2 = G.
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| | year = 2000
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| | title = Connections in Classical and Quantum Field Theory
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| | publisher = World Scientific
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| | isbn = 981-02-2013-8
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| }}.
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| *{{Citation
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| | last = Giachetta
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| | first = G.
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| | last2 = Mangiarotti
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| | first2 = L.
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| | last3 = Sardanashvily
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| | first3 = G.
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| | year = 2005
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| | title = Geometric and Algebraic Topological Methods in Quantum Mechanics
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| | publisher = World Scientific
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| | isbn = 981-256-129-3
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| }}.
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| *{{Citation
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| | last = Giachetta
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| | first = G.
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| | last2 = Mangiarotti
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| | first2 = L.
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| | last3 = Sardanashvily
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| | first3 = G.
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| | year = 2009
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| | title = Advanced Classical Field Theory
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| | publisher = World Scientific
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| | isbn = 978-981-283-895-7
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| }}.
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| *{{Citation
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| | last = Giachetta
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| | first = G.
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| | last2 = Mangiarotti
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| | first2 = L.
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| | last3 = Sardanashvily
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| | first3 = G.
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| | year = 2010
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| | title = Geometric Methods in Classical and Quantum Mechanics
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| | publisher = World Scientific
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| | isbn = 978-981-4313-72-8
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| }}.
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| *{{Citation
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| | last = Sardanashvily
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| | first = G.
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| | year = 2012
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| | title = Lectures on Differential Geometry of Modules and Rings. Application to Quantum Theory
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| | publisher = Lambert Academic Publishing
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| | isbn = 978-3-659-23806-2
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| }}.
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| *{{Citation
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| | last = Sardanashvily
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| | first = G.
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| | year = 2013
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| | title = Advanced Differential Geometry for Theoreticians. Fiber bundles, jet manifolds and Lagrangian theory
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| | publisher = Lambert Academic Publishing
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| | isbn = 978-3-659-37815-7
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| }}.
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| == References ==
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| <references/>
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| == External links ==
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| * [http://theorphys.phys.msu.ru/staff/sardanashvily.html Personal page at the Department of Theoretical Physics, MSU] (in Russian)
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| * [http://www.g-sardanashvily.ru/ Gennadi Sardanashvily's personal site]
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| * [http://www.g-sardanashvily.ru/sard-biography-engl.pdf Scientific Biography]
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| * [http://www.mendeley.com/profiles/gennadi-sardanashvily List of publications on Mendeley]
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| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
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| | NAME = Sardanashvily, Gennadi
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| | ALTERNATIVE NAMES = Sardanashvili, Gennadi
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| | SHORT DESCRIPTION = Russian physicist
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| | DATE OF BIRTH = 13 March 1950
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| | PLACE OF BIRTH = Moscow
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| | DATE OF DEATH =
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| | PLACE OF DEATH =
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| }}
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| {{DEFAULTSORT:Sardanashvily, Gennadi}}
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| [[Category:Russian physicists]]
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| [[Category:Moscow State University faculty]]
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| [[Category:Living people]]
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| [[Category:1950 births]]
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| [[Category:Theoretical physicists]]
| |
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