What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Geometry
His primary scientific interests are in Seismology, Combinatorics, Algebra, Earthquake prediction and Induced seismicity.
His work deals with themes such as Lattice, Symmetric matrix and Loading rate, which intersect with Combinatorics.
His research integrates issues of Class and Boundary in his study of Algebra.
His Earthquake prediction research includes themes of Earthquake simulation and Foreshock.
His studies in Induced seismicity integrate themes in fields like Aftershock and Field.
His biological study deals with issues like Self-similarity, which deal with fields such as Scaling.
His most cited work include:
- Clustering Analysis of Seismicity and Aftershock Identification (190 citations)
- Projections of semi-analytic sets (117 citations)
- Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry (115 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Combinatorics, Pure mathematics, Discrete mathematics, Mathematical analysis and Statistical physics.
While the research belongs to areas of Combinatorics, Andrei Gabrielov spends his time largely on the problem of Monotone polygon, intersecting his research to questions surrounding Graph.
His Pure mathematics research includes elements of Gravitational singularity, Analytic continuation and Quartic function.
The study incorporates disciplines such as Pfaffian and Rational function in addition to Discrete mathematics.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Surface, Monodromy, Boundary and Constant curvature.
His study explores the link between Statistical physics and topics such as Scaling that cross with problems in Lattice model, Particle in a one-dimensional lattice, Periodic boundary conditions and Lattice field theory.
He most often published in these fields:
- Combinatorics (25.45%)
- Pure mathematics (21.21%)
- Discrete mathematics (17.58%)
What were the highlights of his more recent work (between 2011-2021)?
- Pure mathematics (21.21%)
- Combinatorics (25.45%)
- Mathematical analysis (13.33%)
In recent papers he was focusing on the following fields of study:
His main research concerns Pure mathematics, Combinatorics, Mathematical analysis, Bounded function and Gravitational singularity.
Andrei Gabrielov interconnects Discrete mathematics, Homotopy and Monotone polygon in the investigation of issues within Combinatorics.
The Monomial research Andrei Gabrielov does as part of his general Discrete mathematics study is frequently linked to other disciplines of science, such as Complex valued, therefore creating a link between diverse domains of science.
His studies in Mathematical analysis integrate themes in fields like Monodromy, Boundary, Conic section and Constant curvature.
Andrei Gabrielov usually deals with Bounded function and limits it to topics linked to Betti number and Symbolic computation.
His Gravitational singularity research incorporates themes from Conformal map and Geometry.
Between 2011 and 2021, his most popular works were:
- Metrics with conic singularities and spherical polygons (35 citations)
- Metrics with four conic singularities and spherical quadrilaterals (20 citations)
- Seismicity modeling and earthquake prediction: A review (20 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
His scientific interests lie mostly in Pure mathematics, Bounded function, Combinatorics, Mathematical analysis and Conic section.
His Pure mathematics research is mostly focused on the topic Lipschitz continuity.
His research integrates issues of Generalization, Translation and Hyperplane in his study of Bounded function.
He has researched Combinatorics in several fields, including Compact space and Monotone polygon.
His Mathematical analysis study incorporates themes from Surface, Boundary and Constant curvature.
His Conic section research is multidisciplinary, incorporating elements of Conformal map and Gravitational singularity.
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