Zoltán Szabó

Q: What Schools Are Affiliated With Zoltán Szabó

Zoltán Szabó is affiliated with the following schools: Rutgers University, University of Michigan, Princeton University, Eötvös Loránd University

Zoltán Szabó 's AcademicInfluence.com Rankings

Zoltán Szabó

Mathematics

#1651

World Rank

#2660

Historical Rank

Measure Theory

#2439

World Rank

#2919

Historical Rank

mathematics Degrees

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Mathematics

Zoltán Szabó 's Degrees

PhD Mathematics Eötvös Loránd University

Why Is Zoltán Szabó Influential?

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According to Wikipedia, Zoltán Szabó is a professor of mathematics at Princeton University known for his work on Heegaard Floer homology. Education and career Szabó received his B.A. from Eötvös Loránd University in Budapest, Hungary in 1990, and he received his Ph.D. from Rutgers University in 1994.

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Zoltán Szabó '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)
Structure theorems on riemannian spaces satisfying R(X, Y) · R=0, (1985) (366)
On the Heegaard Floer homology of branched double-covers (2003) (360)
Structure theorems on Riemannian spaces satisfying $R(X,\,Y)\cdot R=0$. I. The local version (1982) (337)
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)
Heegaard Floer homology and alternating knots. (2002) (229)
Holomorphic disks, link invariants and the multi-variable Alexander polynomial (2008) (215)
A product formula for the seiberg-witten invariants and the generalized thom conjecture (1996) (199)
Knot Floer homology and integer surgeries (2004) (188)
On combinatorial link Floer homology (2006) (162)
Concordance homomorphisms from knot Floer homology (2014) (142)
Legendrian knots, transverse knots and combinatorial Floer homology (2006) (130)
The Lichnerowicz conjecture on harmonic manifolds (1990) (127)
The symplectic Thom conjecture (1998) (117)
Odd Khovanov homology (2007) (101)
Heegaard Floer homologies and contact structures (2002) (97)
Product formulas along $T^3$ for Seiberg-Witten invariants (1997) (92)
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)
Homotopy K3 surfaces and mod 2 Seiberg-Witten invariants (1997) (69)
Link Floer homology and the Thurston norm (2006) (68)
Knots with unknotting number one and Heegaard Floer homology (2004) (63)
A short topological proof for the symmetry of 2 point homogeneous spaces (1991) (61)
A cube of resolutions for knot Floer homology (2007) (56)
An exotic smooth structure on CP^2+6CP^2-bar (2004) (56)
Higher Type Adjunction Inequalities in Seiberg-Witten Theory (2000) (53)
Locally Non-isometric yet Super Isospectral Spaces (1999) (49)
Exotic 4-manifolds with $b_2 ^+=1$ (1996) (47)
Rational blowdowns and smoothings of surface singularities (2006) (46)
Simply-connected irreducible 4-manifolds with no symplectic structures (1998) (46)
Planar open books and Floer homology (2005) (45)
All regular Landsberg metrics are Berwald (2008) (43)
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)
Berwald metrics constructed by Chevalley's polynomials (2006) (32)
A NEW PROOF OF SZABÓ’S THEOREM ON THE RIEMANN-METRIZABILITY OF BERWALD MANIFOLDS (2005) (31)
EXOTIC SMOOTH STRUCTURES ON CP#5CP2 (2006) (30)
Isospectral deformations of negatively curved Riemannian manifolds with boundary which are not locally isometric (2000) (29)
ISOSPECTRAL PAIRS OF METRICS ON BALLS, SPHERES, AND OTHER MANIFOLDS WITH DIFFERENT LOCAL GEOMETRIES (2000) (29)
On Park's exotic smooth four-manifolds (2004) (27)
Heegaard diagrams and Floer homology (2006) (26)
Bordered knot algebras with matchings (2017) (26)
Hilbert's fourth problem, I (1986) (26)
The geography problem for irreducible spin four-manifolds (2000) (25)
Correction to “All regular Landsberg metrics are Berwald” (2009) (24)
The smooth classification of elliptic surfaces with $b^+>1$ (1994) (23)
Irreducible four-manifolds with small Euler characteristics (1996) (22)
Combinatorial Heegaard Floer homology and nice Heegaard diagrams (2009) (22)
Generalized spaces with many isometries (1981) (22)
Algebras with matchings and knot Floer homology (2019) (21)
The Dehn surgery characterization of the trefoil and the figure eight knot (2006) (21)
A geometric spectral sequence in Khovanov homology (2010) (21)
On the skein exact squence for knot Floer homology (2007) (18)
On Heegaard Floer homology and Seifert fibered surgeries (2003) (17)
Small Exotic 4‐Manifolds with b2+=3 (2005) (16)
A cornucopia of isospectral pairs of metrics on spheres with different local geometries (2000) (16)
Holomorphic disks and topological invariants for rational homology three-spheres (2001) (15)
EMBEDDED TORI IN FOUR-MANIFOLDS (1999) (13)
A perturbation of the geometric spectral sequence in Khovanov homology (2014) (12)
The theta divisor and the Casson-Walker invariant (2000) (11)
A Combinatorial Description of the U2=0 Version of Heegaard Floer Homology (2008) (10)
An exotic smooth structure on ℂℙ2#6ℂℙ 2 (2005) (9)
On Embedding Circle-Bundles in Four-Manifolds (2000) (8)
Complexity of 4-dimensional h-cobordisms (1999) (8)
Singular Fibers in Elliptic Fibrations on the Rational Elliptic Surface (2007) (7)
Gluing 4-manifolds along Σ(2,3,11) (2000) (7)
Embedded genus-2 surfaces in four-manifolds (1997) (7)
Normal zones on Zeeman manifolds with trace class heat and Feynman kernels and well defined zonal Feynman integrals (2006) (7)
An overview of knot Floer homology (2017) (6)
The Theta Divisor and Three-Manifold Invariants (2000) (6)
Cornucopia of Isospectral Pairs of Metrics on Balls and Spheres with Different Local Geometries (2000) (5)
Theory of zones on Zeeman manifolds; A new approach to the infinities of QED (2005) (5)
Reconstruction of the intertwining operator and new striking examples added to “Isospectral pairs of metrics on balls and spheres with different local geometries“ (2005) (5)
The pong algebra (2022) (4)
Algebras with matchings and link Floer homology (2020) (4)
G T ] 9 M ay 2 00 5 Exotic smooth structures on CP 2 # 5 CP 2 Jongil (2005) (4)
Correction and improvement added to``Isospectral pairs of metrics on balls and spheres with different local geometries'' (2005) (3)
SEMI-SYMMETRY TYPE LP-SASAKIAN MANIFOLDS (2017) (3)
Lecture notes on Heegard Floer homology (2009) (3)
A note on thickness of knots (2020) (2)
Exotic smooth structures on $CP^2#5{\bar CP^2}$ (2004) (2)
De Broglie geometry eliminating the infinities of QED; An exact derivation of the Lamb shift formula in the normal case (2006) (2)
Knots and links in (2015) (1)
Laplace spectra on open and compact Zeeman manifolds (2006) (1)
PROJECTIVE METRICS WITH QUADRATIC ELLIPSES (2018) (1)
The pong algebra and the wrapped Fukaya category (2022) (1)
De Broglie geometry on Zeeman manifolds: A new non-perturbative approach to the infinities of QED (Review of the scalar theory) (2006) (1)
Exact mathematical models of a unified quantum theory; Expanding and static micro universes (2009) (1)
A note on symplectic rational blow--downs (2005) (1)
G T ] 11 J un 2 00 3 HOLOMORPHIC DISKS AND KNOT INVARIANTS (2021) (0)
The oriented skein exact sequence (2015) (0)
More on the filtered chain complex (2015) (0)
The slice genus and (2015) (0)
Grid homologies of alternating knots (2015) (0)
On a Semi-symmetric Metric Connection in an Almost Kenmotsu Manifold with Nullity Distributions (2017) (0)
Notes on Seiberg-Witten Invariants (2021) (0)
Grid homology over the integers (2015) (0)
Remarks on AriasMarco-Sch\"uth's paper entitled: "Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres" [arXiv:1001.1611] (2010) (0)
The holomorphic theory (2015) (0)
The unknotting number and (2015) (0)
Isospectral and Isotonal Manifolds Having Different Local Geometries (1998) (0)
AN ALGORITHM TO COMPUTE SOME HEEGAARD FLOER HOMOLOGIES (2008) (0)
J ul 2 01 3 A geometric spectral sequence in Khovanov homology (2018) (0)
Invariants of Legendrian and transverse knots (2015) (0)
SATISFYING CERTAIN CURVATURE CONDITIONS (2015) (0)
Ju l 2 01 2 Knot lattice homology in L-spaces (2012) (0)
D G ] 2 1 Ja n 20 06 Berwald metrics constructed by Chevalley ’ s polynomials (2008) (0)
AMS Classification numbers Primary : 53 D 05 , 14 J 26 Secondary : 57 R 55 , 57 R 57 Keywords : Exotic smooth 4 – manifolds , Seiberg – Witten invariants , rational blowdown , rational surfaces (2005) (0)
The symplectic Thorn conjecture (2016) (0)
Grid homology for links (2015) (0)
Ordinary matter, dark matter, and dark energy on normal Zeeman space-times (2017) (0)
The invariance of grid homology (2015) (0)
The filtered grid complex (2015) (0)
Heegaard Floer homology is a Floer-type homology theory developed by P Ozsváth and (2010) (0)
N ov 2 00 5 A note on symplectic rational blow – downs (2009) (0)
Iterative methods of order two and three for computing inverse elements in Banach algebra with identity (2022) (0)
Basic properties of grid homology (2015) (0)

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What Schools Are Affiliated With Zoltán Szabó ?

Zoltán Szabó is affiliated with the following schools:

Zoltán Szabó 's Academic­Influence.com Rankings