What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Pure mathematics
Igor Moiseevich Krichever spends much of his time researching Mathematical physics, Integrable system, Mathematical analysis, Pure mathematics and Nonlinear system.
His specific area of interest is Mathematical physics, where he studies Supersymmetry.
His studies deal with areas such as Moduli space, Exact solutions in general relativity and Supersymmetric gauge theory, Gauge theory as well as Supersymmetry.
His Integrable system study integrates concerns from other disciplines, such as Structure, Line, Integral equation and Riemann surface.
As a member of one scientific family, Igor Moiseevich Krichever mostly works in the field of Pure mathematics, focusing on Algebra and, on occasion, Spin-½ and Generalization.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Algebraic curve and Real algebraic geometry.
His most cited work include:
- Integrability and Seiberg-Witten exact solution (558 citations)
- The τ‐function of the universal whitham hierarchy, matrix models and topological field theories (464 citations)
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS (421 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Pure mathematics, Mathematical physics, Mathematical analysis, Integrable system and Riemann surface.
His Pure mathematics research integrates issues from Hierarchy and Algebra.
Igor Moiseevich Krichever combines subjects such as Riemann hypothesis, Monodromy and Symplectic geometry with his study of Mathematical physics.
His Supersingular elliptic curve, Quarter period, Jacobi elliptic functions and Real algebraic geometry study in the realm of Mathematical analysis interacts with subjects such as Schottky problem.
His Integrable system research incorporates elements of Hamiltonian, Perturbation theory, Hamiltonian system and Schrödinger equation.
Igor Moiseevich Krichever usually deals with Riemann surface and limits it to topics linked to Meromorphic function and Moduli space.
He most often published in these fields:
- Pure mathematics (35.92%)
- Mathematical physics (40.29%)
- Mathematical analysis (30.10%)
What were the highlights of his more recent work (between 2008-2021)?
- Pure mathematics (35.92%)
- Moduli space (12.62%)
- Mathematical analysis (30.10%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Pure mathematics, Moduli space, Mathematical analysis, Riemann surface and Meromorphic function.
The various areas that Igor Moiseevich Krichever examines in his Moduli space study include Soliton, Local coordinates and Perturbation theory.
Igor Moiseevich Krichever works mostly in the field of Mathematical analysis, limiting it down to concerns involving Abelian group and, occasionally, Toda lattice.
His Toda lattice study contributes to a more complete understanding of Mathematical physics.
He performs multidisciplinary study in the fields of Mathematical physics and Arithmetic of abelian varieties via his papers.
His studies examine the connections between Riemann surface and genetics, as well as such issues in Genus, with regards to Branch point, Nonlinear Schrödinger equation, Lax pair and Complex number.
Between 2008 and 2021, his most popular works were:
- Finite genus solutions to the Ablowitz‐Ladik equations (94 citations)
- The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces (30 citations)
- Characterizing Jacobians via trisecants of the Kummer variety (27 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
His scientific interests lie mostly in Pure mathematics, Meromorphic function, Mathematical analysis, Riemann surface and Spectral theory.
His study on Pure mathematics is mostly dedicated to connecting different topics, such as Algebra.
His Algebra research is multidisciplinary, incorporating elements of Operator theory and Existential quantification.
His Meromorphic function study deals with Moduli space intersecting with Cohomology, Dimension, Perturbation theory, Local coordinates and Soliton.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Algebraic curve and Genus.
Igor Moiseevich Krichever has researched Riemann surface in several fields, including Complex number, Algebraic geometry and Nonlinear Schrödinger equation.
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