What is he best known for?
The fields of study he is best known for:
- Pure mathematics
- Algebra
- Mathematical analysis
His primary areas of investigation include Pure mathematics, Algebra, Gravitational singularity, Discrete mathematics and Algebraic variety.
János Kollár studies Kodaira dimension which is a part of Pure mathematics.
His studies in Kodaira dimension integrate themes in fields like Algebraic surface, Cone of curves and Dimension of an algebraic variety.
János Kollár combines subjects such as Theoretical physics and Equivalence relation with his study of Gravitational singularity.
His study looks at the relationship between Discrete mathematics and fields such as Minimal models, as well as how they intersect with chemical problems.
The study incorporates disciplines such as Geometry and topology, Linear system, Base, Point and Abelian variety in addition to Algebraic variety.
His most cited work include:
- The surface energy of metals (1821 citations)
- Birational Geometry of Algebraic Varieties (1427 citations)
- Rational Curves on Algebraic Varieties (1035 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Algebra, Gravitational singularity, Mathematical analysis and Algebraic geometry.
His work deals with themes such as Discrete mathematics, Variety and Algebraic number, which intersect with Pure mathematics.
His Discrete mathematics study frequently draws connections between adjacent fields such as Dimension of an algebraic variety.
His work in Function field of an algebraic variety, Algebraic variety, Real algebraic geometry, Algebraic cycle and Birational geometry are all subfields of Algebra research.
The Gravitational singularity study combines topics in areas such as Hypersurface, Singularity, Space and Combinatorics.
János Kollár combines subjects such as Einstein and Mathematical proof with his study of Algebraic geometry.
He most often published in these fields:
- Pure mathematics (59.54%)
- Algebra (19.08%)
- Gravitational singularity (15.13%)
What were the highlights of his more recent work (between 2016-2021)?
- Pure mathematics (59.54%)
- Gravitational singularity (15.13%)
- Base change (2.30%)
In recent papers he was focusing on the following fields of study:
Pure mathematics, Gravitational singularity, Base change, Moduli and Algebraic geometry are his primary areas of study.
His Pure mathematics study integrates concerns from other disciplines, such as Mathematical proof, Variety and Degree.
His study in Gravitational singularity is interdisciplinary in nature, drawing from both Singularity and Residue.
His Moduli study incorporates themes from Calabi–Yau manifold and Hilbert scheme, Algebra.
János Kollár works in the field of Algebra, focusing on Algebraic variety in particular.
His Algebraic geometry research includes themes of State, Rigidity, Series and Fano plane.
Between 2016 and 2021, his most popular works were:
- THE DUAL COMPLEX OF SINGULARITIES (22 citations)
- Semi-stable extensions over 1-dimensional bases (20 citations)
- Curve-rational functions (19 citations)
In his most recent research, the most cited papers focused on:
- Pure mathematics
- Algebra
- Quantum mechanics
János Kollár focuses on Pure mathematics, Gravitational singularity, Minimal model program, Base change and Algebraic geometry.
His research in the fields of Hilbert scheme overlaps with other disciplines such as Normalization.
János Kollár has included themes like Singularity and Contractible space in his Gravitational singularity study.
János Kollár interconnects Combinatorics, Piecewise linear function, Terminal, Simple and Homotopy in the investigation of issues within Minimal model program.
He has researched Base change in several fields, including Cohomology, Morphism and One-dimensional space.
His biological study spans a wide range of topics, including State, Algebraic number, Fano plane and Rigidity.
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