- Home
- Best Scientists - Mathematics
- Zoltan Szabo

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
36
Citations
11,438
67
World Ranking
1724
National Ranking
749

1998 - Fellow of Alfred P. Sloan Foundation

- Pure mathematics
- Topology
- Mathematical analysis

His primary areas of investigation include Floer homology, Pure mathematics, Khovanov homology, Algebra and Morse homology. The research on Mathematical analysis and Combinatorics is part of his Floer homology project. His Combinatorics research focuses on Alexander polynomial and how it relates to Knot polynomial and Trefoil knot.

His Pure mathematics research includes themes of Class and Tricolorability. His Algebra study incorporates themes from Lens space, Dehn surgery and Unknot. His Morse homology study is concerned with Homology in general.

- Holomorphic disks and knot invariants (760 citations)
- Holomorphic disks and topological invariants for closed three-manifolds (714 citations)
- Holomorphic disks and three-manifold invariants: Properties and applications (595 citations)

His scientific interests lie mostly in Floer homology, Pure mathematics, Combinatorics, Khovanov homology and Morse homology. His Floer homology study is concerned with the larger field of Homology. His Pure mathematics study integrates concerns from other disciplines, such as Mathematical analysis and Algebra.

He combines subjects such as Crossing number, Unknotting number and Knot invariant with his study of Combinatorics. In his research, Cellular homology is intimately related to Relative homology, which falls under the overarching field of Morse homology. The various areas that Zoltan Szabo examines in his Holomorphic function study include Topological invariants and Riemann surface.

- Floer homology (66.67%)
- Pure mathematics (51.52%)
- Combinatorics (42.42%)

- Floer homology (66.67%)
- Combinatorics (42.42%)
- Pure mathematics (51.52%)

Zoltan Szabo spends much of his time researching Floer homology, Combinatorics, Pure mathematics, Spectral sequence and Khovanov homology. As a part of the same scientific study, Zoltan Szabo usually deals with the Floer homology, concentrating on Lift and frequently concerns with Heegaard splitting. His Combinatorics study frequently draws connections to other fields, such as Knot theory.

His research investigates the link between Pure mathematics and topics such as Algebraic number that cross with problems in Topology. The study incorporates disciplines such as Trefoil knot, Knot complement, Knot invariant, Knot polynomial and Crosscap number in addition to Knot. His work deals with themes such as Slice genus, Relative homology and Unknotting number, which intersect with Morse homology.

- Odd Khovanov homology (102 citations)
- Grid Homology for Knots and Links (32 citations)
- Unoriented Knot Floer Homology and the Unoriented Four-Ball Genus (25 citations)

- Topology
- Pure mathematics
- Mathematical analysis

Zoltan Szabo mainly focuses on Khovanov homology, Floer homology, Pure mathematics, Combinatorics and Spectral sequence. The concepts of his Khovanov homology study are interwoven with issues in Knot theory, Jones polynomial and Morse homology, Cellular homology. His Floer homology research is multidisciplinary, incorporating perspectives in Crosscap number, Knot, Ball, Upper and lower bounds and Betti number.

His research in the fields of Euler characteristic, Invariant and Homology overlaps with other disciplines such as Exterior algebra. His study on Homomorphism, Slice genus and Relative homology is often connected to Homological algebra as part of broader study in Combinatorics.

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.

Holomorphic disks and three-manifold invariants: Properties and applications

Peter Steven Ozsvath;Zoltan Szabo.

Annals of Mathematics **(2004)**

959 Citations

Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary

Peter Steven Ozsvath;Zoltan Szabo.

Advances in Mathematics **(2003)**

918 Citations

Holomorphic disks and knot invariants

Peter Ozsváth;Zoltán Szabó.

Advances in Mathematics **(2004)**

820 Citations

Holomorphic disks and topological invariants for closed three-manifolds

Peter Ozsváth;Zoltán Szabó.

Annals of Mathematics **(2004)**

784 Citations

Holomorphic disks and genus bounds

Peter Ozsvath;Zoltan Szabo.

Geometry & Topology **(2004)**

736 Citations

On knot Floer homology and lens space surgeries

Peter Steven Ozsvath;Zoltan Szabo.

Topology **(2005)**

735 Citations

Knot Floer homology and the four-ball genus

Peter Steven Ozsvath;Zoltan Szabo.

Geometry & Topology **(2003)**

686 Citations

On the Heegaard Floer homology of branched double-covers

Peter Steven Ozsvath;Zoltan Szabo.

Advances in Mathematics **(2005)**

566 Citations

Holomorphic triangles and invariants for smooth four-manifolds

Peter S Ozsvath;Zoltan Szabo.

Advances in Mathematics **(2006)**

447 Citations

Heegaard Floer homology and contact structures

Peter Steven Ozsvath;Zoltan Szabo.

Duke Mathematical Journal **(2005)**

370 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Princeton University

Stony Brook University

Harvard University

University of Electronic Science and Technology of China

University of Guadalajara

Emory University

Vanderbilt University

RIKEN Center for Integrative Medical Sciences

Charité - University Medicine Berlin

University of Electronic Science and Technology of China

Newcastle University

Purdue University West Lafayette

University of Navarra

Umeå University

University of Bristol

Karolinska University Hospital

Kyoto University

University of Cambridge

Lund University

Something went wrong. Please try again later.