Peter Ozsváth | Academic Influence

Peter Ozsváth's AcademicInfluence.com Rankings

Peter Ozsváth

Mathematics

#1823

World Rank

#2910

Historical Rank

#738

USA Rank

Algebraic Topology

#38

World Rank

#48

Historical Rank

#17

USA Rank

Measure Theory

#3014

World Rank

#3582

Historical Rank

#874

USA Rank

mathematics Degrees

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Mathematics

Peter Ozsváth's Degrees

PhD Mathematics Princeton University

Why Is Peter Ozsváth Influential?

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According to Wikipedia, Peter Steven Ozsváth is a professor of mathematics at Princeton University. He created, along with Zoltán Szabó, Heegaard Floer homology, a homology theory for 3-manifolds. Education Ozsváth received his Ph.D. from Princeton in 1994 under the supervision of John Morgan; his dissertation was entitled On Blowup Formulas For SU Donaldson Polynomials.

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Peter Ozsváth's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Holomorphic disks and topological invariants for closed three-manifolds (2001) (817)
Holomorphic disks and knot invariants (2002) (778)
Holomorphic disks and three-manifold invariants: Properties and applications (2001) (564)
Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary (2001) (513)
Holomorphic disks and genus bounds (2003) (467)
Knot Floer homology and the four-ball genus (2003) (427)
On knot Floer homology and lens space surgeries (2003) (417)
On the Heegaard Floer homology of branched double-covers (2003) (360)
Holomorphic triangles and invariants for smooth four-manifolds (2001) (334)
Monopoles and lens space surgeries (2003) (260)
Knot Floer homology and rational surgeries (2005) (249)
Heegaard Floer homology and contact structures (2005) (241)
On the Floer homology of plumbed three-manifolds (2002) (233)
A combinatorial description of knot Floer homology (2006) (233)
Heegaard Floer homology and alternating knots. (2002) (229)
Holomorphic disks, link invariants and the multi-variable Alexander polynomial (2008) (215)
Knot Floer homology and integer surgeries (2004) (188)
On combinatorial link Floer homology (2006) (162)
On the Khovanov and knot Floer homologies of quasi-alternating links (2007) (152)
Concordance homomorphisms from knot Floer homology (2014) (142)
Legendrian knots, transverse knots and combinatorial Floer homology (2006) (130)
The symplectic Thom conjecture (1998) (117)
Bordered Heegaard Floer homology (2008) (110)
Bimodules in bordered Heegaard Floer homology (2010) (106)
Odd Khovanov homology (2007) (101)
Heegaard Floer homologies and contact structures (2002) (97)
Holomorphic triangle invariants and the topology of symplectic four-manifolds (2002) (90)
Knot Floer homology, genus bounds, and mutation (2003) (77)
Grid Homology for Knots and Links (2015) (75)
Heegaard Floer homology and integer surgeries on links (2010) (73)
Transverse knots distinguished by knot Floer homology (2007) (68)
Link Floer homology and the Thurston norm (2006) (68)
Knots with unknotting number one and Heegaard Floer homology (2004) (63)
Contact surgeries and the transverse invariant in knot Floer homology (2008) (59)
A cube of resolutions for knot Floer homology (2007) (56)
Higher Type Adjunction Inequalities in Seiberg-Witten Theory (2000) (53)
Planar open books and Floer homology (2005) (45)
Heegaard Diagrams and Holomorphic Disks (2004) (41)
Floer homology and singular knots (2007) (41)
Kauffman states, bordered algebras, and a bigraded knot invariant (2016) (38)
An introduction to Heegaard Floer homology (2007) (37)
Unoriented knot Floer homology and the unoriented four-ball genus (2015) (35)
Holomorphic disks and link invariants (2005) (34)
Grid diagrams and Heegaard Floer invariants (2009) (30)
On Park's exotic smooth four-manifolds (2004) (27)
Bordered knot algebras with matchings (2017) (26)
Heegaard diagrams and Floer homology (2006) (26)
Lectures on Heegaard Floer Homology (2005) (22)
Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology (2008) (22)
Combinatorial Heegaard Floer homology and nice Heegaard diagrams (2009) (22)
Algebras with matchings and knot Floer homology (2019) (21)
Tour of bordered Floer theory (2011) (21)
The Dehn surgery characterization of the trefoil and the figure eight knot (2006) (21)
On the skein exact squence for knot Floer homology (2007) (18)
On Heegaard Floer homology and Seifert fibered surgeries (2003) (17)
Bordered Floer homology and the spectral sequence of a branched double cover II: the spectral sequences agree (2014) (17)
Some blowup formulas for ${\rm SU}(2)$ Donaldson polynomials (1994) (15)
Holomorphic disks and topological invariants for rational homology three-spheres (2001) (15)
Bordered Floer homology and the branched double cover I (2010) (11)
The theta divisor and the Casson-Walker invariant (2000) (11)
A Combinatorial Description of the U2=0 Version of Heegaard Floer Homology (2008) (10)
Bordered Floer homology and the spectral sequence of a branched double cover I (2010) (10)
On Embedding Circle-Bundles in Four-Manifolds (2000) (8)
Dry milling of magnesium based hybrid materials (2008) (7)
Computations of heegaard floer homology: torus bundles, l-spaces, and correction terms (2010) (6)
An overview of knot Floer homology (2017) (6)
The Theta Divisor and Three-Manifold Invariants (2000) (6)
The pong algebra (2022) (4)
Algebras with matchings and link Floer homology (2020) (4)
Low dimensional topology (2009) (2)
HF by factoring mapping classes (2014) (1)
Knots and links in (2015) (1)
The pong algebra and the wrapped Fukaya category (2022) (1)
TRANSVERSE KNOTS DISTINGUISHED BY (2007) (1)
The symplectic Thorn conjecture (2016) (0)
G T ] 11 J un 2 00 3 HOLOMORPHIC DISKS AND KNOT INVARIANTS (2021) (0)
The oriented skein exact sequence (2015) (0)
The unknotting number and (2015) (0)
Grid homology over the integers (2015) (0)
Grid homologies of alternating knots (2015) (0)
Lézerrel színterelt vagy olvasztott gyorsprototípusok tulajdonságfejlesztése = Development of properties of laser sintered or melted rapid prototypes (2009) (0)
Grid homology for links (2015) (0)
Physics and Mathematics of Link Homology Proposal for the Séminaire de Mathématiques Supérieures 2013 (2014) (0)
Analysis and development of the adhesion of stent coatings (2014) (0)
The invariance of grid homology (2015) (0)
AN ALGORITHM TO COMPUTE SOME HEEGAARD FLOER HOMOLOGIES (2008) (0)
8.4 – Determination of Internal Mechanical Stresses of Large Steel Structures on the Basis of Electromagnetic Reading out of Laser Scribed Marks (2008) (0)
Invariants of Legendrian and transverse knots (2015) (0)
Basic properties of grid homology (2015) (0)
More on the filtered chain complex (2015) (0)
The slice genus and (2015) (0)
Ju l 2 01 2 Knot lattice homology in L-spaces (2012) (0)
Low Dimensional Geometry and Topology Special Feature: Tour of bordered Floer theory (2011) (0)
Investigation of the refrigerating storage possibilities of shell-less and boiled complete eggs in the retail trade. (2009) (0)
The filtered grid complex (2015) (0)
The holomorphic theory (2015) (0)
Milling of AZ91 and AlSi12 using different edge geometries of CVD diamond thick film (2010) (0)

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