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- János Kollár

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
59
Citations
21,393
252
World Ranking
404
National Ranking
223

2016 - Fellow of the American Academy of Arts and Sciences

2013 - Fellow of the American Mathematical Society

2006 - Frank Nelson Cole Prize in Algebra

2005 - Member of the National Academy of Sciences

1989 - Fellow of Alfred P. Sloan Foundation

- 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.

- The surface energy of metals (1821 citations)
- Birational Geometry of Algebraic Varieties (1427 citations)
- Rational Curves on Algebraic Varieties (1035 citations)

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.

- Pure mathematics (59.54%)
- Algebra (19.08%)
- Gravitational singularity (15.13%)

- Pure mathematics (59.54%)
- Gravitational singularity (15.13%)
- Base change (2.30%)

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.

- THE DUAL COMPLEX OF SINGULARITIES (22 citations)
- Semi-stable extensions over 1-dimensional bases (20 citations)
- Curve-rational functions (19 citations)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

The surface energy of metals

L. Vitos;A.V. Ruban;H.L. Skriver;J. Kollár.

Surface Science **(1998)**

2805 Citations

Birational Geometry of Algebraic Varieties

Janos Kollár;Shigefumi Mori.

**(1998)**

2680 Citations

Rational Curves on Algebraic Varieties

János Kollár.

**(1996)**

2074 Citations

Flips and Abundance for Algebraic Threefolds

J. Kollar.

Astérisque **(1992)**

705 Citations

Singularities of pairs

János Kollár;Karen E. Smith;Alessio Corti.

arXiv: Algebraic Geometry **(1996)**

609 Citations

Singularities of the minimal model program

János Kollár;Sándor J. Kovács.

**(2013)**

592 Citations

Threefolds and deformations of surface singularities

J. Kollár;N. I. Shepherd-Barron.

Inventiones Mathematicae **(1988)**

562 Citations

Higher direct images of dualizing sheaves. II

János Kollár.

Annals of Mathematics **(1986)**

549 Citations

Lectures on Resolution of Singularities (AM-166)

János Kollár.

**(2007)**

503 Citations

Lectures on resolution of singularities

János Kollár.

**(2007)**

469 Citations

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