Sheldon Katz

Q: What Schools Are Affiliated With Sheldon Katz

Sheldon Katz is affiliated with the following schools: University of Texas at Austin, Princeton University, Massachusetts Institute of Technology, University of Oklahoma, University of Illinois Urbana-Champaign, University of Utah, University of Illinois Chicago

Sheldon Katz's AcademicInfluence.com Rankings

Sheldon Katz

Mathematics

#2825

World Rank

#4281

Historical Rank

#1091

USA Rank

Algebraic Geometry

#91

World Rank

#97

Historical Rank

#22

USA Rank

Measure Theory

#2698

World Rank

#3224

Historical Rank

#778

USA Rank

mathematics Degrees

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Mathematics

Sheldon Katz's Degrees

PhD Mathematics Princeton University

Why Is Sheldon Katz Influential?

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According to Wikipedia, Sheldon H. Katz is an American mathematician, specializing in algebraic geometry and its applications to string theory. Background and career In 1973 Katz won first prize in the U.S.A. Mathematical Olympiad. He received in 1976 his bachelor's degree from MIT and in 1980 his Ph.D. from Princeton University under Robert C. Gunning with thesis Deformations of Linear Systems, Divisors and Weierstrass Points on Curves. At the University of Utah, he was an instructor from 1980 to 1984. At the University of Oklahoma he was an assistant professor from 1984 to 1987. At Oklahoma State University, he became in 1987 an assistant professor, in 1989 an associate professor, in 1994 a full professor, in 1997 Southwestern Bell Professor, and in 1999 Regents Professor. Since 2001 he has been a professor at the University of Illinois, Urbana-Champaign, where he was chair of the department in 2006–2011.

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Sheldon Katz'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

Mirror symmetry and algebraic geometry (1999) (1011)
Geometric engineering of quantum field theories (1996) (636)
Mirror symmetry and exact solution of 4D $N = 2$ gauge theories: I (1997) (454)
Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors (1984) (334)
A Geometric unification of dualities (2001) (331)
Matter from geometry (1996) (328)
Mirror Symmetry for Two Parameter Models - II * (1994) (306)
Mirror Symmetry for Two Parameter Models -- I (1993) (273)
Enhanced gauge symmetry in type II string theory (1996) (260)
M theory, topological strings and spinning black holes (1999) (257)
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc (2001) (254)
Open string instantons and superpotentials (1999) (210)
Small instantons, del Pezzo surfaces and type I′ theory (1996) (187)
Geometric engineering of N = 1 quantum field theories (1996) (187)
Tate’s algorithm and F-theory (2011) (184)
Geometric Transitions and N=1 Quiver Theories (2001) (177)
Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups (1992) (166)
D-branes, open string vertex operators, and Ext groups (2002) (130)
On the niteness of rational curves on quintic threefolds (1986) (125)
The Refined BPS Index from Stable Pair Invariants (2012) (122)
Mirror Symmetry for Open Strings (2000) (120)
Computation of Superpotentials for D-Branes (2004) (110)
On geometric classification of 5d SCFTs (2018) (107)
T-branes and geometry (2013) (107)
Genus zero Gopakumar-Vafa invariants of contractible curves (2006) (101)
Notes on Certain (0,2) Correlation Functions (2004) (101)
Topological string on elliptic CY 3-folds and the ring of Jacobi forms (2015) (93)
Spectra of D-branes with Higgs vevs (2003) (77)
Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties (1995) (74)
Lie groups, Calabi-Yau threefolds, and F-theory (2000) (72)
New Higgs transitions between dual N=2 string models (1996) (69)
Improved test for closed loops in surface intersections (1989) (66)
Mirror symmetry for Calabi-Yau hypersurfaces in weighted and extensions of Landau-Ginzburg theory (1994) (64)
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds (1999) (60)
On geometric classification of 5d SCFTs (2018) (51)
A Mathematical Theory of Quantum Sheaf Cohomology (2011) (46)
Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties (2011) (45)
T-branes at the limits of geometry (2017) (45)
CREMONA TRANSFORMATIONS WITH SMOOTH IRREDUCIBLE FUNDAMENTAL LOCUS (1989) (44)
Cremona transformations and syzygies (1992) (44)
Lines on the fermat quintic threefold and the infinitesimal generalized hodge conjecture (1991) (41)
Genus of the intersection curve of two rational surface patches (1988) (41)
Supersymmetric configurations, geometric transitions and new non-Kähler manifolds (2010) (40)
Deformed quantum cohomology and (0,2) mirror symmetry (2007) (38)
D-branes, orbifolds, and Ext groups (2002) (38)
D-branes, B fields, and Ext groups (2003) (38)
Swampland Constraints on 5d N = 1 Supergravity (2020) (35)
Gauge-gravity dualities, dipoles and new non-Kähler manifolds (2006) (34)
On the Motivic Stable Pairs Invariants of K3 Surfaces (2014) (34)
Rational curves on Calabi-Yau manifolds: verifying predictions of mirror symmetry (1993) (32)
Weak Coupling, Degeneration and Log Calabi-Yau Spaces (2012) (32)
Rational curves on Calabi-Yau threefolds (1992) (28)
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds (2004) (27)
Versal deformations and superpotentials for rational curves in smooth threefolds (2000) (27)
The cubo-cubic transformation ofP3 is very special (1987) (26)
Iteration of multiple point formulas and applications to conics (1988) (23)
Dipole-Deformed Bound States and Heterotic Kodaira Surfaces (2006) (22)
Degenerations of quintic threefolds and their lines (1983) (20)
Small resolutions of Gorenstein threefold singularities (1991) (20)
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings (1993) (19)
Virtual fundamental classes of zero loci (2000) (19)
Mirror Symmetry Constructions: A Review (1994) (16)
Van Geemen's families of lines on special quintic threefolds (1991) (16)
Cremona transformations and Hartshorne's conjecture (1991) (15)
Log BPS numbers of log Calabi-Yau surfaces (2018) (15)
Lines on complete intersection threefolds withK=0 (1986) (14)
Enumerative Geometry and String Theory (2006) (13)
Local BPS Invariants: Enumerative Aspects and Wall-Crossing (2018) (13)
The desingularization of Hilb4P3 and its Betti numbers (1994) (11)
Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals (1988) (11)
Swampland constraints on 5d $$ \mathcal{N} $$ = 1 supergravity (2020) (10)
Enumeration of nodal genus-2 plane curves with fixed complex structure (1998) (10)
Sheaves of maximal intersection and multiplicities of stable log maps (2019) (9)
SU(N) Transitions in M-Theory on Calabi–Yau Fourfolds and Background Fluxes (2016) (8)
Towards refining the topological strings on compact Calabi-Yau 3-folds (2020) (7)
Gromov-Witten invariants via algebraic geometry (1995) (6)
Elliptically fibered Calabi–Yau manifolds and the ring of Jacobi forms (2015) (6)
Quantum cohomology and enumerative geometry (2006) (6)
Mirror Symmetry and Moduli Spaces of Superconformal Field Theories (1994) (5)
Discriminants and limits of duals of plane curves (1991) (4)
Composition law and Nodal genus-2 curves in P^2 (1996) (4)
Tangents to a multiple plane curve. (1986) (3)
Hodge numbers of linked surfaces in $\mathbb{P}^{4}$ (1987) (3)
Mirror symmetry for two parameter models. I [ MR1274436 (95k:32020)] (1997) (3)
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants (2005) (3)
Contributions of degenerate stable log maps (2019) (2)
Mirror symmetry constructions (1999) (2)
(0,2) quantum cohomology (2012) (2)
Topological Strings on Non-Commutative Resolutions (2022) (2)
Enumerative geometry of the mirror quintic (2022) (1)
B-branes and the derived category (2004) (1)
Quantum differential equations (1999) (1)
The mirror theorem (1999) (1)
The Refined BPS Index from Stable Pair Invariants (2014) (1)
D-critical loci for local toric Calabi-Yau 3-folds (2021) (1)
Enumeration of n-fold tangent hyperplanes to a surface by Israel Vainsencher (1994) (1)
Donaldson-Thomas invariants of Calabi-Yau threefolds (2018) (1)
Dimensional reduction of B-fields in F-theory (2022) (1)
Arithmetically Cohen-Macaulay Curves cut out by Quadrics (1992) (1)
Recent work on Cremona transformations (1992) (0)
Crash course in topology and manifolds (2006) (0)
Books and videos (2009) (0)
Swampland constraints on 5 d N = 1 supergravity (2020) (0)
Enumerative geometry in the projective plane (2006) (0)
Crash course in ^{∞} manifolds and cohomology (2006) (0)
Gromov-Witten invariants (1999) (0)
Local enumerative invariants of some simple normal crossing del Pezzo surfaces (2022) (0)
Geometric methods in (0,2) theories and a generalization of quantum cohomology (2006) (0)
Log Calabi-Yau spaces and a new weak coupling limit of F-theory (2012) (0)
Topological quantum field theory (2006) (0)
T-branes at the limits of geometry (2017) (0)
D-critical locus on the Hilbert scheme of dimension zero subschemes on local P2 (2020) (0)
A ug 2 00 3 ILL-( TH )-0210 hep-th / 0212218 D-branes , Orbifolds , and Ext groups (2008) (0)
D‐critical loci for length n sheaves on local toric Calabi‐Yau 3‐folds (2022) (0)
Deformations of linear systems, divisors, and Weierstrass points on curves (1980) (0)
Stable maps and enumerative geometry (2006) (0)
Cellular decompositions and line bundles (2006) (0)
Topological string on elliptic CY 3-folds and the ring of Jacobi forms (2015) (0)
Introduction to string theory (2006) (0)
Hodge theory and Yukawa couplings (1999) (0)
String-math 2012 (2015) (0)
Introduction to supersymmetry (2006) (0)
SU(N) Transitions in M-Theory on Calabi–Yau Fourfolds and Background Fluxes (2016) (0)
Log BPS numbers and multiplicities of stable log maps: the next cases (2019) (0)
Enumerative geometry of lines (2006) (0)
Advocating for mathematics (2006) (0)
Fe b 20 03 ILL-( TH )-0301 hep-th / 0302099 D-branes , B fields , and Ext groups (2003) (0)
Rational curves on the quintic threefold (2006) (0)
381 – 405 D-branes , B fields , and Ext groups (2003) (0)
A ug 2 01 9 CONTRIBUTIONS OF DEGENERATE STABLE LOG MAPS (2019) (0)
The quintic threefold (1999) (0)
String-Math 2012 : July 16-21, 2012, Universität Bonn, Bonn, Germany (2015) (0)
Warming up to enumerative geometry (2006) (0)
T-branes and geometry (2014) (0)
Calabi – Yau Threefolds , and F-Theory (2008) (0)
HUTP-01 / A 045 WIS / 19 / 01-SEPT-DPP UCSD-PTH-01-16 ILL-( TH )-019 hep-th / 0110028 A Geometric Unification of Dualities (0)
0 D ec 1 99 3 Rational Curves on Calabi – Yau Threefolds (1993) (0)
Towards refining the topological strings on compact Calabi-Yau 3-folds (2021) (0)
Equivariant stable pair invariants and refined BPS indices (2013) (0)

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What Schools Are Affiliated With Sheldon Katz?

Sheldon Katz is affiliated with the following schools:

Sheldon Katz's Academic­Influence.com Rankings

Sheldon Katz's Degrees

Why Is Sheldon Katz Influential?

Sheldon Katz's Published Works

Published Works

Other Resources About Sheldon Katz

What Schools Are Affiliated With Sheldon Katz?

Sheldon Katz's AcademicInfluence.com Rankings