2026 Peter Ozsvath: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	44	1535	1324	661	529	96	14164

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1535

1324

661

529

14164

Research.com Recognitions

2018 - Member of the National Academy of Sciences
2008 - Fellow of John Simon Guggenheim Memorial Foundation
2000 - Fellow of Alfred P. Sloan Foundation

Overview

Peter Ozsváth is affiliated with Princeton University in the United States. Their research focuses primarily on the field of mathematics, with particular emphasis on geometry and topology.

The main fields of study for this scientist include:

Mathematics

Within mathematics, their work spans several subfields:

Geometry and Topology
Mathematical Physics
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Neurology

Key topics covered in their publications are:

Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
semigroups and automata theory
Botulinum Toxin and Related Neurological Disorders
Advanced Topics in Algebra

Recent publications by Peter Ozsváth include the following:

Heegaard Floer homology and integer surgeries on links, 2025, Geometry & Topology
Grid diagrams and Heegaard Floer invariants, 2025, Annals of Mathematics
A bordered ⁻-algebra for the torus, 2025, Journal of Symplectic Geometry
Diagonals and A-Infinity Tensor Products, 2025, Studia Scientiarum Mathematicarum Hungarica
Algebras with matchings and link Floer homology, 2020, arXiv (Cornell University)

The frequent coauthors who have collaborated with Peter Ozsváth include:

Dylan P. Thurston
Robert Lipshitz
Ciprian Manolescu
Zoltán Szabó

Peter Ozsváth's work has appeared repeatedly in various publication venues, including:

arXiv (Cornell University)
Geometry & Topology
Annals of Mathematics
Journal of Symplectic Geometry
Studia Scientiarum Mathematicarum Hungarica

The scientist has received several recognitions, including:

Member of the National Academy of Sciences (2018)
Fellow of John Simon Guggenheim Memorial Foundation (2008)
Fellow of Alfred P. Sloan Foundation (2000)

Best Publications

Holomorphic disks and three-manifold invariants: Properties and applications

Peter Steven Ozsvath;Zoltan Szabo

1023
Citations
Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary

Peter Steven Ozsvath;Zoltan Szabo

965
Citations
Holomorphic disks and knot invariants

Peter Ozsváth;Zoltán Szabó

927
Citations
Holomorphic disks and topological invariants for closed three-manifolds

Peter Ozsváth;Zoltán Szabó

864
Citations
Holomorphic disks and genus bounds

Peter Ozsvath;Zoltan Szabo

793
Citations
On knot Floer homology and lens space surgeries

Peter Steven Ozsvath;Zoltan Szabo

773
Citations
Knot Floer homology and the four-ball genus

Peter Steven Ozsvath;Zoltan Szabo

743
Citations
On the Heegaard Floer homology of branched double-covers

Peter Steven Ozsvath;Zoltan Szabo

607
Citations
Holomorphic triangles and invariants for smooth four-manifolds

Peter S Ozsvath;Zoltan Szabo

481
Citations
On the Floer homology of plumbed three-manifolds

Peter Ozsváth;Zoltán Szabó

400
Citations
Monopoles and lens space surgeries

Peter Kronheimer;Tomasz Mrowka;Peter S. Ozsváth;Zoltán I. Szabó

395
Citations
Knot Floer homology and rational surgeries

Peter S Ozsváth;Zoltán Szabó

392
Citations
Heegaard Floer homology and alternating knots.

Peter Steven Ozsvath;Zoltan Szabo

389
Citations
Heegaard Floer homology and contact structures

Peter Steven Ozsvath;Zoltan Szabo

387
Citations
Bordered Heegaard Floer homology: Invariance and pairing

Robert Lipshitz;Dylan Thurston;Peter Ozsvath

338
Citations
Holomorphic disks, link invariants and the multi-variable Alexander polynomial

Peter Steven Ozsvath;Zoltan Szabo

314
Citations
A combinatorial description of knot Floer homology

Ciprian Manolescu;Peter Steven Ozsvath;Sucharit Sarkar

284
Citations
Knot Floer homology and integer surgeries

Peter Steven Ozsvath;Zoltan Szabo

257
Citations
Bordered Heegaard Floer Homology

Robert Lipshitz;Peter Steven Ozsvath;Dylan P. Thurston

232
Citations
Holomorphic disks and link invariants

Peter Ozsvath;Zoltan Szabo

214
Citations

Frequent Co-Authors

Zoltan Szabo Princeton University

External Links

Wikipedia of Peter Ozsvath Personal website of Peter Ozsvath

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