Leon Takhtajan

Q: What Schools Are Affiliated With Leon Takhtajan

Leon Takhtajan is affiliated with the following schools: Stony Brook University, Saint Petersburg State University

Leon Takhtajan's AcademicInfluence.com Rankings

Leon Takhtajan

Mathematics

#2902

World Rank

#4382

Historical Rank

Measure Theory

#2320

World Rank

#2775

Historical Rank

mathematics Degrees

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Mathematics

Why Is Leon Takhtajan Influential?

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According to Wikipedia, Leon Armenovich Takhtajan is a Russian mathematical physicist of Armenian descent, currently a professor of mathematics at the Stony Brook University, Stony Brook, NY, and a leading researcher at the Euler International Mathematical Institute, Saint Petersburg, Russia.

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Leon Takhtajan'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

Hamiltonian methods in the theory of solitons (1987) (2523)
Quantization of Lie Groups and Lie Algebras (1987) (1069)
On foundation of the generalized Nambu mechanics (1993) (644)
What is the spin of a spin wave (1981) (458)
The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spins (1982) (370)
Integration of the Continuous Heisenberg Spin Chain Through the Inverse Scattering Method (1977) (359)
Quantum Mechanics for Mathematicians (2008) (184)
Liouville model on the lattice (1988) (167)
Weil-Petersson metric on the universal Teichmuller space I: Curvature properties and Chern forms (2003) (163)
Leibniz and Lie Algebra Structures for Nambu Algebra (1997) (142)
Deformation quantization and Nambu Mechanics (1996) (136)
A self-dual Yang-Mills hierarchy and its reductions to integrable systems in 1+1 and 2+1 dimensions (1993) (84)
Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on {{ℳ}}_{0,} (2002) (78)
Liouville Action and Weil-Petersson Metric on Deformation Spaces, Global Kleinian Reciprocity and Holography (2002) (73)
Deformation Quantization of Kahler Manifolds (1999) (64)
A simple example of modular forms as tau-functions for integrable equations (1992) (63)
Aspects of classical and quantum Nambu mechanics (1995) (62)
Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula (2004) (57)
Topics in Quantum Geometry of Riemann Surfaces: Two-Dimensional Quantum Gravity (1994) (56)
Free Bosons and Tau-Functions for Compact Riemann Surfaces and Closed Smooth Jordan Curves. Current Correlation Functions (2001) (48)
The Hamiltonian Formulation (2007) (38)
The quantum inverse problem method and the XYZ Heisenberg model (1981) (38)
LECTURES ON QUANTUM GROUPS (1990) (36)
Weyl Type Asymptotics and Bounds for the Eigenvalues of Functional-Difference Operators for Mirror Curves (2015) (34)
Poisson structure for the KdV equation (1985) (34)
Spectrum of the density matrix of a large block of spins of the XY model in one dimension (2011) (32)
Semi-classical Liouville Theory, Complex Geometry of Moduli Spaces, and Uniformization of Riemann Surfaces (1992) (31)
A local index theorem for families of $\overline\partial$-operators on punctured Riemann surfaces and a new Kåhler metric on their moduli spaces (1991) (30)
Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping (2004) (30)
Quantum Liouville Theory in the Background Field Formalism I. Compact Riemann Surfaces (2005) (28)
Introduction to algebraic Bethe ansatz (1985) (26)
Introduction to quantum groups (1990) (26)
Asymptotic behavior of the solutions of the Kadomtsev-Pyatviashvili equation (two-dimensional Korteweg-De Vries equation) (1980) (22)
Generating Functional in CFT and Effective Action for Two-Dimensional Quantum Gravity on Higher Genus Riemann Surfaces (1996) (22)
Scattering theory for the Korteweg-De Vries (KdV) equation and its Hamiltonian interpretation (1986) (21)
On Bott–Chern forms and their applications (2011) (21)
EQUIVALENCE OF GEOMETRIC h 25 APPROACHES TO TWO-DIMENSIONAL QUANTUM GRAVITY (1995) (20)
Liouville Theory:. Quantum Geometry of Riemann Surfaces (1993) (19)
Normal matrix models, dbar-problem, and orthogonal polynomials on the complex plane (2007) (19)
Quantum Groups and Integrable Models (1989) (19)
The first Chern form on moduli of parabolic bundles (2006) (18)
The Selberg zeta function and a new Kähler metric on the moduli space of punctured Riemann surfaces (1988) (17)
On the spectral theory of a functional-difference operator in conformal field theory (2015) (13)
Liouville theory: Ward identities for generating functional and modular geometry (1994) (12)
Entanglement Spectrum for the XY Model in One Dimension (2010) (12)
Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces (2015) (12)
Local index theorem for orbifold Riemann surfaces (2017) (11)
Riemann problem (2021) (11)
Modular Forms as τ-Functions for Certain Integrable Reductions of the Yang-Mills Equations (1993) (10)
Weil-Petersson Geometry of the Universal Teichmüller Space (2005) (9)
Quantum Field Theories on an Algebraic Curve (2000) (9)
Generating Functional in CFT on Riemann Surfaces II: Homological Aspects (2000) (8)
On the spectral theory of one functional-difference operator from conformal field theory (2014) (7)
STABLE, MULTI-STATE, TIME-REVERSIBLE CELLULAR AUTOMATA WITH RICH PARTICLE CONTENT (1992) (7)
On Foundation of the Generalized (1994) (6)
The Gauss-Hasse hypothesis on real quadratic fields with class number one (1982) (5)
Scientific heritage of L. D. Faddeev. Survey of papers (2017) (4)
Hyperbolic 2-spheres with conical singularities, accessory parameters and Kaehler metrics on $\mathcal{M}_{0,n}$ (2001) (4)
Integrable cellular automata and AKNS hierarchy (1996) (4)
Explicit computation of the Chern character forms (2014) (3)
Etudes of the resolvent (2020) (3)
Ludwig Faddeev Memorial Volume:A Life in Mathematical Physics (2018) (3)
Integration in functional spaces (2008) (3)
Singular connections, WZNW action, and moduli of parabolic bundles on the sphere (2014) (2)
Quantum Field Theories on Algebraic Curves and A. Weil Reciprocity Law (2008) (2)
Elementary Introduction to Quantum Groups (1993) (2)
On Bott-Chern forms with applications to differential K-theory (2011) (2)
Weyl asymptotics for perturbed functional difference operators (2019) (2)
Fundamental Models on the Lattice (2007) (2)
Quantum field theories on algebraic curves. I. Additive bosons (2008) (2)
Poisson sigma model and semiclassical quantization of integrable systems (2018) (2)
On Kawai theorem for orbifold Riemann surfaces (2017) (2)
Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation (2014) (1)
Logarithmic Connections, WZNW Action, and Moduli of Parabolic Bundles on the Sphere (2014) (1)
Beyond Substance and Process : A New Framework for Emergence (1994) (1)
Trace formulas for the modified Mathieu equation (2021) (1)
QUASICONFORMAL MAPS OF BORDERED RIEMANN SURFACES WITH L BELTRAMI DIFFERENTIALS (2014) (1)
Fundamental Continuous Models (1987) (1)
Supersymmetry and trace formulas I. Compact Lie groups (2021) (0)
Teichmuller space of a once punctured disk: complex coordinates on the space of abelian differentials and the takhtajan-zograf metric (2012) (0)
Spin and identical particles (2008) (0)
ICAMI 2017: International Conference on Applied Mathematics and Informatics: Forum on Analysis, Geometry, and Mathematical Physics (2018) (0)
Berezin quantization, conformal welding and the Bott-Virasoro group (2022) (0)
Local index theorem for orbifold Riemann surfaces (2018) (0)
Weyl Type Asymptotics and Bounds for the Eigenvalues of Functional-Difference Operators for Mirror Curves (2016) (0)
Zero Curvature Representation (2007) (0)
On some computational and analytic aspects of chern-weil forms (2013) (0)
Lie-Algebraic Approach to the Classification and Analysis of Integrable Models (2007) (0)
Explicit computation of the Chern character forms (2015) (0)
Nambu mechanics , based on the deformation theory , path integral formulation and on (2008) (0)
Mathematische Annalen On Kawai theorem for orbifold Riemann surfaces (2018) (0)
On Bott–Chern forms and their applications (2014) (0)
AND BLACKHOLE-TYPE SOLUTIONS OF THE LIOUVILLE EQUATION (2014) (0)
On Kawai theorem for orbifold Riemann surfaces (2018) (0)
Basic Examples and Their General Properties (2007) (0)
Ludwig Dmitrievich Faddeev. 23 March 1934—26 February 2017 (2022) (0)
FREE BOSONS AND DISPERSIONLESS LIMIT OF HIROTA TAU-FUNCTION (2006) (0)
L.D. Faddeev : (March 23, 1934 - February 26, 2017) (2017) (0)
Goldman form, flat connections and stable vector bundles (2021) (0)
Basic principles of quantum mechanics (2008) (0)
Mathematische Annalen On Bott – Chern forms and their applications (2014) (0)
Ludwig Dmitrievich Faddeev (2017) (0)
Path integral formulation of quantum mechanics (2008) (0)
Ludwig Faddeev (1934–2017) – His Work and Legacy (2017) (0)
YANG-BAXTER EQUATION AND QUANTUM PERIODIC TODA LATTICE (2008) (0)

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What Schools Are Affiliated With Leon Takhtajan?

Leon Takhtajan is affiliated with the following schools: