Statements (86)
Predicate | Object |
---|---|
gptkbp:instance_of |
gptkb:Mathematician
|
gptkbp:bfsLayer |
6
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gptkbp:bfsParent |
gptkb:Yuri_Dubrovin
|
gptkbp:affiliation |
gptkb:University
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gptkbp:awards |
Fellow of the American Mathematical Society
|
gptkbp:birth_date |
gptkb:1961
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gptkbp:birth_place |
Moscow, Russia
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gptkbp:contribution |
Contributed to the understanding of symplectic manifolds.
Investigated the connections between algebraic geometry and mathematical physics. Explored the applications of quantum cohomology in algebraic geometry. Explored the applications of mirror symmetry in algebraic geometry. Investigated the role of symplectic geometry in mathematical physics. Analyzed the implications of symplectic geometry in algebraic topology. Studied the relationship between algebraic geometry and physics. Studied the role of mirror symmetry in algebraic topology. Analyzed the implications of quantum cohomology in mathematical physics. Analyzed the implications of symplectic geometry in quantum cohomology. Explored the applications of symplectic geometry in enumerative geometry. Investigated the role of mirror symmetry in string theory. Studied the role of symplectic structures in algebraic geometry. Investigated the role of symplectic structures in algebraic geometry. Analyzed the Gromov-Witten invariants. Contributed to the theory of quantum cohomology. Developed the Givental formula. Studied the relationship between algebraic curves and symplectic geometry. Examined the implications of quantum cohomology. Pioneered the study of mirror symmetry. Studied the geometry of moduli spaces. Studied the intersection theory on moduli spaces. Worked on symplectic topology. Worked on the theory of Frobenius manifolds. Worked on the theory of Frobenius structures. Worked on the theory of quantum invariants. Worked on the theory of symplectic field theory. Worked on the theory of symplectic invariants. Worked on the theory of symplectic topology. Investigated the connections between symplectic geometry and algebraic topology. Investigated the connections between quantum cohomology and algebraic geometry. Explored the applications of symplectic geometry in mathematical physics. Analyzed the implications of Gromov-Witten invariants in string theory. Investigated the connections between symplectic geometry and mathematical physics. Investigated the connections between algebraic geometry and symplectic topology. Explored the connections between algebraic topology and algebraic geometry. Analyzed the implications of mirror symmetry in algebraic geometry. Studied the role of symplectic geometry in enumerative geometry. Analyzed the implications of symplectic geometry in mathematical physics. Explored the applications of mirror symmetry in algebraic topology. Explored the applications of Gromov-Witten invariants in enumerative geometry. Studied the applications of Gromov-Witten invariants in enumerative geometry. Studied the role of symplectic structures in mathematical physics. Explored the applications of Gromov-Witten invariants in algebraic geometry. Analyzed the implications of quantum cohomology in algebraic geometry. Studied the role of mirror symmetry in mathematical physics. Investigated the connections between algebraic curves and quantum cohomology. Studied the role of Gromov-Witten invariants in algebraic geometry. Analyzed the implications of mirror symmetry in enumerative geometry. Analyzed the implications of Gromov-Witten invariants in mathematical physics. Investigated the role of Gromov-Witten invariants in string theory. Studied the connections between symplectic geometry and algebraic topology. Explored the applications of mirror symmetry in mathematical physics. Explored the applications of Gromov-Witten invariants in mathematical physics. Studied the role of quantum cohomology in enumerative geometry. Investigated the connections between symplectic geometry and string theory. Studied the role of symplectic structures in string theory. Investigated the deformation theory of complex structures. Analyzed the implications of Gromov-Witten invariants in algebraic topology. Investigated the connections between algebraic geometry and quantum cohomology. |
gptkbp:field |
gptkb:Mathematician
|
https://www.w3.org/2000/01/rdf-schema#label |
Alexander Givental
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gptkbp:influences |
gptkb:Mikhail_Gromov
gptkb:Vladimir_Arnold |
gptkbp:known_for |
Contributions to symplectic geometry
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gptkbp:nationality |
gptkb:Native_American_tribe
|
gptkbp:notable_alumni |
Dmitri Gaitsgory
|
gptkbp:publishes |
Givental, A. B. (1996). ' Equivariant Gromov-Witten invariants'.
Givental, A. B. (1992). ' A theory of symplectic invariants'. Givental, A. B. (2006). ' Tropical geometry and mirror symmetry'. Givental, A. B. (2002). ' On the WDVV equations'. Givental, A. B. (2001). ' A symplectic approach to the Gromov-Witten invariants'. |
gptkbp:research_areas |
Algebraic geometry
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gptkbp:research_interest |
Mathematical physics
String theory Mirror symmetry Quantum cohomology |
gptkbp:staff |
gptkb:Vladimir_Arnold
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gptkbp:website |
http://math.berkeley.edu/~givental/
|