What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Floer homology (66.67%)
- Pure mathematics (51.52%)
- Combinatorics (42.42%)
What were the highlights of his more recent work (between 2012-2021)?
- Floer homology (66.67%)
- Combinatorics (42.42%)
- Pure mathematics (51.52%)
In recent papers he was focusing on the following fields of study:
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.
Between 2012 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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