Alexander Givental

Alexander Givental's AcademicInfluence.com Rankings

Alexander Givental

Mathematics

#239

World Rank

#522

Historical Rank

#113

USA Rank

Algebraic Geometry

#42

World Rank

#44

Historical Rank

#10

USA Rank

Measure Theory

#1276

World Rank

#1617

Historical Rank

#461

USA Rank

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Mathematics

Why Is Alexander Givental Influential?

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According to Wikipedia, Alexander Givental is a Russian-American mathematician who is currently Professor of Mathematics at the University of California, Berkeley. His main contributions have been in symplectic topology and singularity theory, as well as their relation to topological string theories.

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Alexander Givental's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to Symplectic Field Theory (2000) (765)
Equivariant Gromov - Witten Invariants (1996) (641)
A mirror theorem for toric complete intersections (1997) (471)
GROMOV - WITTEN INVARIANTS AND QUANTIZATION OF QUADRATIC HAMILTONIANS (2001) (457)
Semisimple Frobenius structures at higher genus (2000) (269)
Quantum Riemann–Roch, Lefschetz and Serre (2001) (245)
Quantum cohomology of flag manifolds and Toda lattices (1993) (239)
Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture (1996) (189)
Homological Geometry and Mirror Symmetry (1995) (184)
Symplectic geometry of Frobenius structures (2003) (176)
Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups (2001) (144)
Elliptic Gromov - Witten invariants and the generalized mirror conjecture (1998) (144)
Homological geometry I. Projective hypersurfaces (1995) (97)
On the WDVV equation in quantum K-theory. (2000) (92)
Nonlinear generalization of the Maslov index (1990) (90)
A_{n-1} singularities and nKdV hierarchies (2002) (85)
Simple singularities and integrable hierarchies (2003) (56)
The Hirzebruch--Riemann--Roch theorem in true genus-0 quantum K-theory (2011) (56)
The mirror formula for quintic threefolds (1998) (55)
The Pythagorean Theorem: What Is It About? (2006) (55)
Singular Lagrangian manifolds and their Lagrangian maps (1990) (49)
Lagrangian imbeddings of surfaces and unfolded Whitney umbrella (1986) (49)
Displacement of invariants of groups that are generated by reflections and are connected with simple singularities of functions (1980) (30)
Twisted Picard-Lefschetz formulas (1988) (29)
A symplectic fixed point theorem for toric manifolds (1995) (28)
Mapping of periods and intersection form (1982) (26)
Periodic maps in symplectic topology (1989) (24)
Manifolds of polynomials having a root of fixed multiplicity, and the generalized newton equation (1982) (21)
Permutation-equivariant quantum K-theory V. Toric $q$-hypergeometric functions (2015) (19)
Quantum Cobordisms and Formal Group Laws (2006) (19)
Geometry of Low-dimensional Manifolds: The nonlinear Maslov index (1991) (16)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Moments of random variables and the equivariant Morse lemma (1987) (16)
Permutation-equivariant quantum K-theory VIII. Explicit reconstruction (2015) (15)
On the representation of functions of several variables as a superposition of functions of a smaller number of variables (2009) (14)
Hydrodynamics, Bifurcation Theory, and Algebraic Geometry, 1965-1972 (2014) (14)
Whitney singularities of solutions of partial differential equations (1995) (14)
Explicit reconstruction in quantum cohomology and K-theory (2015) (14)
Permutation-equivariant quantum K-theory II. Fixed point localization (2015) (12)
A tutorial on Quantum Cohomology (2005) (11)
Virasoro constraints for toric bundles (2015) (10)
Maximum number of singular points on a projective hypersurface (1983) (9)
Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera (2017) (9)
Quantum K-Theory of Grassmannians and Non-Abelian Localization (2020) (8)
Permutation-equivariant quantum K-theory III. Lefschetz' formula on $\overline{M}_{0,n}/S_n$ and adelic characterization (2015) (8)
Permutation-equivariant quantum K-theory VI. Mirrors (2015) (8)
Vladimir I. Arnold - Collected Works (2009) (8)
Permutation-Equivariant Quantum K-Theory X. Quantum Hirzebruch-Riemann-Roch in Genus 0 (2017) (7)
Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch (2017) (7)
Permutation-equivariant quantum K-theory IV. $D_q$-modules (2015) (7)
Representations of functions, celestial mechanics and KAM theory, 1957-1965 (2009) (6)
Permutation-equivariant quantum K-theory VII. General theory (2015) (6)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Lagrangian varieties with singularities and irreducible sl2-modules (1983) (6)
Singularities of functions, wave fronts, caustics and multidimensional integrals (2012) (6)
Kepler’s Laws and Conic Sections (2016) (5)
Givental: Quantum Riemann-Roch, Lefschetz and Serre. arXiv: math.AG/0110142 (5)
Permutation-equivariant quantum K-theory I. Definitions. Elementary K-theory of $\overline{\mathcal M}_{0,n}/S_n$ (2015) (4)
Asymptote of the intersection form of a quasihomogeneous singularity of functions (1982) (4)
PERMUTATION-EQUIVARIANT QUANTUM K-THEORY (2015) (4)
QUANTUM COHOMOLOGY OF FLAG MANIFOLDS (1993) (3)
Stability criterion for solitons (1990) (3)
Instability of stationary structures in diffusion kinetics (1988) (3)
Permutation-Equivariant Quantum K-Theory I. Definitions. Elementary K-Theory of \overline M0,n/Sn (2016) (3)
Plücker formulae and Cartan matrices (1989) (2)
TOPICS IN ENUMERATIVE ALGEBRAIC GEOMETRY (2005) (1)
Global properties of the Maslov index and Morse theory (1988) (1)
Collected works || uniform distribution of points on a sphere and some ergodic properties of solutions of linear ordinary differential equations in a complex region (2009) (1)
Singularities in symplectic and contact geometry 1980-1985 (2018) (1)
Partial Differential Equations (1)
Singularity Theory and Symplectic Topology (2005) (1)
Kepler’s Laws and Conic Sections (2015) (0)
By a Hamiitonian isotopy of a symplectic manifold we mean its transformation by a nonautonomous globally Hamiltonian flow. ~o symplectomorphisms are homologous if one of them can be obtained from the other by composition with a Hamiitonian isotopy. (1989) (0)
Linear algebra and differential equations (2001) (0)
The mathematics workshop for schools at Moscow State University (2009) (0)
Stability and instability in classical mechanics (2009) (0)
The school mathematics circle at Moscow State University: harmonic functions (2009) (0)
THREE POINTS ON THE PLANE (2007) (0)
TOPICS IN ENUMERATIVE ALGEBRAIC GEOMETRY LECTURE 13 (2005) (0)
A pr 2 01 6 UNIQUENESS OF EXTREMAL LAGRANGIAN TORI IN THE FOUR-DIMENSIONAL DISC (2018) (0)
The University of Chelm (2010) (0)
Prelimanary version TOPICS IN ENUMERATIVE ALGEBRAIC GEOMETRY LECTURE 29 (2005) (0)
Singularity theory 1972-1979 (2016) (0)
Math 104: Introduction to Analysis SOLUTIONS (2006) (0)
Geometry, stability and symmetry (1990) (0)
A ug 2 00 0 To the memory of Tom Wolff Semisimple Frobenius structures at higher genus (2000) (0)
Errata to V.I. Arnol’d’s paper: “Small denominators. I.” (2009) (0)
SOLITON EQUATIONS , VERTEX OPERATORS , AND SIMPLE (2009) (0)

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