Edit Profile (opens in new tab) Katz, Sheldon Compute Distance To: Compute Author ID: katz.sheldon Published as: Katz, Sheldon; Katz, S. Homepage: http://www.math.uiuc.edu/~katz/ External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 85 Publications since 1983, including 3 Books 1 Contribution as Editor Co-Authors: 63 Co-Authors with 66 Joint Publications 1,444 Co-Co-Authors all top 5 Co-Authors 20 single-authored 11 Klemm, Albrecht 11 Morrison, David R. 10 Vafa, Cumrun 6 Sharpe, Eric R. 5 Berglund, Per 5 Candelas, Philip 5 Donagi, Ron Y. 4 Choi, Jinwon 4 Dasgupta, Keshav 4 Font, Anamaría 4 Guffin, Josh 3 de la Ossa, Xenia C. 3 Huang, Minxin 3 Takahashi, Nobuyoshi 3 Tatar, Radu 3 van Garrel, Michel 2 Albano, Alberto 2 Anderson, Lara B. 2 Aspinwall, Paul S. 2 Cox, David A. 2 Crauder, Bruce 2 Gwyn, Rhiannon 2 Heckman, Jonathan J. 2 Kim, Hee-Cheol 2 Knauf, Anke 2 Liu, Chiu-Chu Melissa 2 Mayr, Peter 2 Pandharipande, Rahul 2 Qin, Zhenbo 2 Ronen Plesser, M. 2 Sederberg, Thomas W. 2 Thomas, Richard Paul 1 Becker, Melanie 1 Bryan, Jim 1 Cachazo, Freddy 1 Căldăraru, Andrei 1 Chen, Fang 1 Christiansen, H. N. 1 Douglas, Michael R. 1 Ein, Lawrence Man Hon 1 Eisenbud, David 1 Fiol, Bartomeu 1 Franche, Paul 1 Grisaru, Marc 1 Hori, Kentaro 1 Hulek, Klaus 1 Intriligator, Ken 1 Jefferson, Patrick 1 Jockers, Hans 1 Lee, Yuan-Pin 1 Leung, Naichung Conan 1 Li, Wei-Ping 1 Pantev, Tony G. 1 Ruan, Yongbin 1 Schäfer-Nameki, Sakura 1 Schaposnik, Laura P. 1 Schreyer, Frank-Olaf 1 Sully, James 1 Tarazi, Houri-Christina 1 Taylor, Washington IV 1 Vakil, Ravi 1 Wijnholt, Martijn P. 1 Zaslow, Eric all top 5 Serials 20 Nuclear Physics. B 8 Journal of High Energy Physics 7 Advances in Theoretical and Mathematical Physics 4 Communications in Mathematical Physics 3 Mathematische Zeitschrift 3 Journal of Algebraic Geometry 3 Pure and Applied Mathematics Quarterly 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 1 Compositio Mathematica 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Computer Aided Geometric Design 1 CAD. Computer-Aided Design 1 IMRN. International Mathematics Research Notices 1 Nuclear Physics. B. Proceedings Supplements 1 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 The Asian Journal of Mathematics 1 Mathematical Surveys and Monographs 1 Proceedings of Symposia in Pure Mathematics 1 Student Mathematical Library 1 Clay Mathematics Monographs all top 5 Fields 71 Algebraic geometry (14-XX) 43 Quantum theory (81-XX) 27 Several complex variables and analytic spaces (32-XX) 19 Relativity and gravitational theory (83-XX) 8 Differential geometry (53-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 2,344 times in 1,509 Documents Cited by ▼ Year ▼ Mirror symmetry. Zbl 1044.14018Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric 266 2003 Mirror symmetry and algebraic geometry. Zbl 0951.14026Cox, David A.; Katz, Sheldon 235 1999 Geometric engineering of quantum field theories. Zbl 0935.81058Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun 184 1997 Small instantons, del Pezzo surfaces and type I\(^\prime\) theory. Zbl 0935.81057Douglas, Michael R.; Katz, Sheldon; Vafa, Cumrun 102 1997 M-theory, topological strings and spinning black holes. Zbl 0985.81081Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun 96 1999 Matter from geometry. Zbl 0935.81056Katz, Sheldon; Vafa, Cumrun 93 1997 A geometric unification of dualities. Zbl 0992.83072Cachazo, F.; Fiol, B.; Intriligator, K.; Katz, S.; Vafa, C. 84 2002 Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I. Zbl 0912.32016Katz, Sheldon; Mayr, Peter; Vafa, Cumrun 83 1997 On geometric classification of 5d SCFTs. Zbl 1390.81603Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol; Vafa, Cumrun 72 2018 Tate’s algorithm and F-theory. Zbl 1298.81307Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura; Sully, James 68 2011 Enhanced gauge symmetry in type II string theory. Zbl 0925.81188Katz, Sheldon; Morrison, David R.; Ronen Plesser, M. 67 1996 Mirror symmetry for two-parameter models. I. Zbl 0899.14017Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R. 64 1994 The refined BPS index from stable pair invariants. Zbl 1315.14070Choi, Jinwon; Katz, Sheldon; Klemm, Albrecht 53 2014 T-branes and geometry. Zbl 1333.81300Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon 49 2014 Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1026.32028Katz, Sheldon; Liu, Chiu-Chu Melissa 47 2001 Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups. Appendix 0: A good generating set in the case of \(E 8\). Appendix 1: Standard coordinates of \(E 6\). Appendix 2: Standard coordinates of \(E 7\). Zbl 0788.14036Katz, Sheldon; Morrison, David R. 44 1992 Geometric engineering of \(N=1\) quantum field theories. Zbl 0935.81059Katz, Sheldon; Vafa, Cumrun 43 1997 Genus zero Gopakumar-Vafa invariants of contractible curves. Zbl 1142.32011Katz, Sheldon 42 2008 Topological string on elliptic CY 3-folds and the ring of Jacobi forms. Zbl 1388.81219Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 42 2015 Computation of superpotentials for D-branes. Zbl 1109.81062Aspinwall, Paul S.; Katz, Sheldon 30 2006 Notes on certain \((0,2)\) correlation functions. Zbl 1109.81066Katz, Sheldon; Sharpe, Eric 28 2006 Lie groups, Calabi-Yau threefolds, and F-theory. Zbl 0992.81060Aspinwall, Paul S.; Katz, Sheldon; Morrison, David R. 27 2000 New Higgs transitions between dual \(N=2\) string models. Zbl 0925.14012Berglund, Per; Katz, Sheldon; Klemm, Albrecht; Mayr, Peter 27 1997 Spectra of D-branes with Higgs vevs. Zbl 1092.81056Donagi, Ron; Katz, Sheldon; Sharpe, Eric 26 2004 Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory. Zbl 0896.14023Candelas, P.; de la Ossa, X.; Katz, S. 25 1995 On the finiteness of rational curves on quintic threefolds. Zbl 0606.14039Katz, Sheldon 25 1986 Mirror symmetry for two-parameter models. II. Zbl 0899.14018Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R. 24 1994 Mirror symmetry for two-parameter models. II. Zbl 1020.32506Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R. 24 1994 Cremona transformations and syzygies. Zbl 0767.14005Hulek, Klaus; Katz, Sheldon; Schreyer, Frank-Olaf 20 1992 T-branes at the limits of geometry. Zbl 1383.83148Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon; Schaposnik, Laura P. 19 2017 Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties. Zbl 0899.32007Berglund, P.; Katz, S.; Klemm, A. 18 1995 Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties. Zbl 1306.81217Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric 18 2013 Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. Zbl 1045.14019Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan 18 2001 Cremona transformations with smooth irreducible fundamental locus. Zbl 0699.14015Crauder, Bruce; Katz, Sheldon 18 1989 A mathematical theory of quantum sheaf cohomology. Zbl 1300.32022Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric 18 2014 Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn 17 2013 On the motivic stable pairs invariants of \(K3\) surfaces. Zbl 1349.14138Katz, S.; Klemm, A.; Pandharipande, R.; Thomas, R. P. 16 2016 Deformed quantum cohomology and (0,2) mirror symmetry. Zbl 1290.81120Guffin, Josh; Katz, Sheldon 12 2010 D-branes, \(B\) fields, and ext groups. Zbl 1055.81598Căldăraru, Andrei; Katz, Sheldon; Sharpe, Eric 11 2003 Degenerations of quintic threefolds and their lines. Zbl 0616.14035Katz, Sheldon 10 1983 Cremona transformations and Hartshorne’s conjecture. Zbl 0754.14009Crauder, Bruce; Katz, Sheldon 9 1991 D-branes, orbifolds, and Ext groups. Zbl 1058.81062Katz, Sheldon; Pantev, Tony; Sharpe, Eric 9 2003 Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture. Zbl 0767.14016Albano, Alberto; Katz, Sheldon 8 1991 Genus of the intersection curve of two rational surface patches. Zbl 0648.65011Katz, Sheldon; Sederberg, Thomas W. 8 1988 Swampland constraints on 5d \(\mathcal{N} = 1\) supergravity. Zbl 1451.83109Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun 8 2020 Lines on complete intersection threefolds with \(K=0\). Zbl 0563.14020Katz, Sheldon 8 1986 Improved test for closed loops in surface intersections. Zbl 0688.65011Sederberg, T. W.; Christiansen, H. N.; Katz, S. 8 1989 The cubo-cubic transformation of \({\mathbb P}^ 3\) is very special. Zbl 0598.14010Katz, Sheldon 8 1987 Small resolutions of Gorenstein threefold singularities. Zbl 0755.14002Katz, Sheldon 6 1991 Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry. Zbl 0839.14043Katz, Sheldon 6 1994 Rational curves on Calabi-Yau threefolds. Zbl 0835.14015Katz, Sheldon 6 1992 Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305Katz, Sheldon 6 2006 Log BPS numbers of log Calabi-Yau surfaces. Zbl 1465.14052Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 6 2021 Mirror symmetry constructions: A review. Zbl 0919.14023Berglund, Per; Katz, Sheldon 6 1997 Mirror symmetry for two parameter models. I. Zbl 0917.14023Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R. 6 1997 Local BPS invariants: enumerative aspects and wall-crossing. Zbl 1468.14097Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 5 2020 Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1107.14302Katz, Sheldon; Liu, Chiu-Chu Melissa 5 2006 Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu 5 2006 Supersymmetric configurations, geometric transitions and new non-Kähler manifolds. Zbl 1229.81228Chen, Fang; Dasgupta, Keshav; Franche, Paul; Katz, Sheldon; Tatar, Radu 5 2011 Enumeration of nodal genus-2 plane curves with fixed complex structure. Zbl 0946.14031Katz, Sheldon; Qin, Zhenbo; Ruan, Yongbin 5 1998 \(\mathrm{SU}(N)\) transitions in M-theory on Calabi-Yau fourfolds and background fluxes. Zbl 1361.81094Jockers, Hans; Katz, Sheldon; Morrison, David R.; Ronen Plesser, M. 5 2017 The desingularization of \(\text{Hilb}^ 4 \mathbb{P}^ 3\) and its Betti numbers. Zbl 0839.14001Katz, Sheldon 4 1994 Versal deformations and superpotentials for rational curves in smooth threefolds. Zbl 1057.14052Katz, Sheldon 4 2002 Towards refining the topological strings on compact Calabi-Yau 3-folds. Zbl 1461.83082Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 4 2021 Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals. Zbl 0699.14064Ein, Lawrence; Eisenbud, David; Katz, Sheldon 4 1988 Van Geemen’s families of lines on special quintic threefolds. Zbl 0739.14025Albano, Alberto; Katz, Sheldon 3 1991 Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0990.32500Berglund, Per; Katz, Sheldon 3 1994 Elliptically fibered Calabi-Yau manifolds and the ring of Jacobi forms. Zbl 1329.14081Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 3 2015 Gauge-gravity dualities, dipoles and new non-Kähler manifolds. Zbl 1215.83048Dasgupta, Keshav; Grisaru, Marc; Gwyn, Rhiannon; Katz, Sheldon; Knauf, Anke; Tatar, Radu 2 2006 Gromov-Witten invariants via algebraic geometry. Zbl 0957.14510Katz, Sheldon 2 1996 Sheaves of maximal intersection and multiplicities of stable log maps. Zbl 1478.14085Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 2 2021 Tangents to a multiple plane curve. Zbl 0563.53001Katz, Sheldon 2 1986 Enumerative geometry and string theory. Zbl 1091.14001Katz, Sheldon 2 2006 Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon 1 2007 Arithmetically Cohen-Macaulay curves cut out by quadrics. Zbl 0838.14042Katz, Sheldon 1 1993 Discriminants and limits of duals of plane curves. Zbl 0794.14019Katz, Sheldon 1 1991 Recent work on Cremona transformations. Zbl 0768.14004Katz, Sheldon 1 1992 On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008Katz, Sheldon; Li, Weiping; Qin, Zhenbo 1 2007 Virtual fundamental classes of zero loci. Zbl 1065.14014Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin 1 2001 Log BPS numbers of log Calabi-Yau surfaces. Zbl 1465.14052Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 6 2021 Towards refining the topological strings on compact Calabi-Yau 3-folds. Zbl 1461.83082Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 4 2021 Sheaves of maximal intersection and multiplicities of stable log maps. Zbl 1478.14085Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 2 2021 Swampland constraints on 5d \(\mathcal{N} = 1\) supergravity. Zbl 1451.83109Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun 8 2020 Local BPS invariants: enumerative aspects and wall-crossing. Zbl 1468.14097Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi 5 2020 On geometric classification of 5d SCFTs. Zbl 1390.81603Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol; Vafa, Cumrun 72 2018 T-branes at the limits of geometry. Zbl 1383.83148Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon; Schaposnik, Laura P. 19 2017 \(\mathrm{SU}(N)\) transitions in M-theory on Calabi-Yau fourfolds and background fluxes. Zbl 1361.81094Jockers, Hans; Katz, Sheldon; Morrison, David R.; Ronen Plesser, M. 5 2017 On the motivic stable pairs invariants of \(K3\) surfaces. Zbl 1349.14138Katz, S.; Klemm, A.; Pandharipande, R.; Thomas, R. P. 16 2016 Topological string on elliptic CY 3-folds and the ring of Jacobi forms. Zbl 1388.81219Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 42 2015 Elliptically fibered Calabi-Yau manifolds and the ring of Jacobi forms. Zbl 1329.14081Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht 3 2015 The refined BPS index from stable pair invariants. Zbl 1315.14070Choi, Jinwon; Katz, Sheldon; Klemm, Albrecht 53 2014 T-branes and geometry. Zbl 1333.81300Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon 49 2014 A mathematical theory of quantum sheaf cohomology. Zbl 1300.32022Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric 18 2014 Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties. Zbl 1306.81217Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric 18 2013 Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn 17 2013 Tate’s algorithm and F-theory. Zbl 1298.81307Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura; Sully, James 68 2011 Supersymmetric configurations, geometric transitions and new non-Kähler manifolds. Zbl 1229.81228Chen, Fang; Dasgupta, Keshav; Franche, Paul; Katz, Sheldon; Tatar, Radu 5 2011 Deformed quantum cohomology and (0,2) mirror symmetry. Zbl 1290.81120Guffin, Josh; Katz, Sheldon 12 2010 Genus zero Gopakumar-Vafa invariants of contractible curves. Zbl 1142.32011Katz, Sheldon 42 2008 Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon 1 2007 On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008Katz, Sheldon; Li, Weiping; Qin, Zhenbo 1 2007 Computation of superpotentials for D-branes. Zbl 1109.81062Aspinwall, Paul S.; Katz, Sheldon 30 2006 Notes on certain \((0,2)\) correlation functions. Zbl 1109.81066Katz, Sheldon; Sharpe, Eric 28 2006 Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305Katz, Sheldon 6 2006 Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1107.14302Katz, Sheldon; Liu, Chiu-Chu Melissa 5 2006 Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu 5 2006 Gauge-gravity dualities, dipoles and new non-Kähler manifolds. Zbl 1215.83048Dasgupta, Keshav; Grisaru, Marc; Gwyn, Rhiannon; Katz, Sheldon; Knauf, Anke; Tatar, Radu 2 2006 Enumerative geometry and string theory. Zbl 1091.14001Katz, Sheldon 2 2006 Spectra of D-branes with Higgs vevs. Zbl 1092.81056Donagi, Ron; Katz, Sheldon; Sharpe, Eric 26 2004 Mirror symmetry. Zbl 1044.14018Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric 266 2003 D-branes, \(B\) fields, and ext groups. Zbl 1055.81598Căldăraru, Andrei; Katz, Sheldon; Sharpe, Eric 11 2003 D-branes, orbifolds, and Ext groups. Zbl 1058.81062Katz, Sheldon; Pantev, Tony; Sharpe, Eric 9 2003 A geometric unification of dualities. Zbl 0992.83072Cachazo, F.; Fiol, B.; Intriligator, K.; Katz, S.; Vafa, C. 84 2002 Versal deformations and superpotentials for rational curves in smooth threefolds. Zbl 1057.14052Katz, Sheldon 4 2002 Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1026.32028Katz, Sheldon; Liu, Chiu-Chu Melissa 47 2001 Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. Zbl 1045.14019Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan 18 2001 Virtual fundamental classes of zero loci. Zbl 1065.14014Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin 1 2001 Lie groups, Calabi-Yau threefolds, and F-theory. Zbl 0992.81060Aspinwall, Paul S.; Katz, Sheldon; Morrison, David R. 27 2000 Mirror symmetry and algebraic geometry. Zbl 0951.14026Cox, David A.; Katz, Sheldon 235 1999 M-theory, topological strings and spinning black holes. Zbl 0985.81081Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun 96 1999 Enumeration of nodal genus-2 plane curves with fixed complex structure. Zbl 0946.14031Katz, Sheldon; Qin, Zhenbo; Ruan, Yongbin 5 1998 Geometric engineering of quantum field theories. Zbl 0935.81058Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun 184 1997 Small instantons, del Pezzo surfaces and type I\(^\prime\) theory. Zbl 0935.81057Douglas, Michael R.; Katz, Sheldon; Vafa, Cumrun 102 1997 Matter from geometry. Zbl 0935.81056Katz, Sheldon; Vafa, Cumrun 93 1997 Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I. Zbl 0912.32016Katz, Sheldon; Mayr, Peter; Vafa, Cumrun 83 1997 Geometric engineering of \(N=1\) quantum field theories. Zbl 0935.81059Katz, Sheldon; Vafa, Cumrun 43 1997 New Higgs transitions between dual \(N=2\) string models. Zbl 0925.14012Berglund, Per; Katz, Sheldon; Klemm, Albrecht; Mayr, Peter 27 1997 Mirror symmetry constructions: A review. Zbl 0919.14023Berglund, Per; Katz, Sheldon 6 1997 Mirror symmetry for two parameter models. I. Zbl 0917.14023Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R. 6 1997 Enhanced gauge symmetry in type II string theory. Zbl 0925.81188Katz, Sheldon; Morrison, David R.; Ronen Plesser, M. 67 1996 Gromov-Witten invariants via algebraic geometry. Zbl 0957.14510Katz, Sheldon 2 1996 Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory. Zbl 0896.14023Candelas, P.; de la Ossa, X.; Katz, S. 25 1995 Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties. Zbl 0899.32007Berglund, P.; Katz, S.; Klemm, A. 18 1995 Mirror symmetry for two-parameter models. I. Zbl 0899.14017Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R. 64 1994 Mirror symmetry for two-parameter models. II. Zbl 0899.14018Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R. 24 1994 Mirror symmetry for two-parameter models. II. Zbl 1020.32506Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R. 24 1994 Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry. Zbl 0839.14043Katz, Sheldon 6 1994 The desingularization of \(\text{Hilb}^ 4 \mathbb{P}^ 3\) and its Betti numbers. Zbl 0839.14001Katz, Sheldon 4 1994 Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0990.32500Berglund, Per; Katz, Sheldon 3 1994 Arithmetically Cohen-Macaulay curves cut out by quadrics. Zbl 0838.14042Katz, Sheldon 1 1993 Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups. Appendix 0: A good generating set in the case of \(E 8\). Appendix 1: Standard coordinates of \(E 6\). Appendix 2: Standard coordinates of \(E 7\). Zbl 0788.14036Katz, Sheldon; Morrison, David R. 44 1992 Cremona transformations and syzygies. Zbl 0767.14005Hulek, Klaus; Katz, Sheldon; Schreyer, Frank-Olaf 20 1992 Rational curves on Calabi-Yau threefolds. Zbl 0835.14015Katz, Sheldon 6 1992 Recent work on Cremona transformations. Zbl 0768.14004Katz, Sheldon 1 1992 Cremona transformations and Hartshorne’s conjecture. Zbl 0754.14009Crauder, Bruce; Katz, Sheldon 9 1991 Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture. Zbl 0767.14016Albano, Alberto; Katz, Sheldon 8 1991 Small resolutions of Gorenstein threefold singularities. Zbl 0755.14002Katz, Sheldon 6 1991 Van Geemen’s families of lines on special quintic threefolds. Zbl 0739.14025Albano, Alberto; Katz, Sheldon 3 1991 Discriminants and limits of duals of plane curves. Zbl 0794.14019Katz, Sheldon 1 1991 Cremona transformations with smooth irreducible fundamental locus. Zbl 0699.14015Crauder, Bruce; Katz, Sheldon 18 1989 Improved test for closed loops in surface intersections. Zbl 0688.65011Sederberg, T. W.; Christiansen, H. N.; Katz, S. 8 1989 Genus of the intersection curve of two rational surface patches. Zbl 0648.65011Katz, Sheldon; Sederberg, Thomas W. 8 1988 Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals. Zbl 0699.14064Ein, Lawrence; Eisenbud, David; Katz, Sheldon 4 1988 The cubo-cubic transformation of \({\mathbb P}^ 3\) is very special. Zbl 0598.14010Katz, Sheldon 8 1987 On the finiteness of rational curves on quintic threefolds. Zbl 0606.14039Katz, Sheldon 25 1986 Lines on complete intersection threefolds with \(K=0\). Zbl 0563.14020Katz, Sheldon 8 1986 Tangents to a multiple plane curve. Zbl 0563.53001Katz, Sheldon 2 1986 Degenerations of quintic threefolds and their lines. Zbl 0616.14035Katz, Sheldon 10 1983 all cited Publications top 5 cited Publications all top 5 Cited by 1,448 Authors 47 Vafa, Cumrun 40 Morrison, David R. 36 Klemm, Albrecht 35 Katz, Sheldon 29 Mariño, Marcos 22 Schäfer-Nameki, Sakura 21 Taylor, Washington IV 20 Jockers, Hans 20 Sharpe, Eric R. 19 Weigand, Timo 18 Hayashi, Hirotaka 16 Heckman, Jonathan J. 15 Gukov, Sergei 15 Huang, Minxin 14 Braun, Andreas P. 14 Kim, Sungsoo 14 Valandro, Roberto 13 Belhaj, Adil 13 Grimm, Thomas W. 13 Kim, Hee-Cheol 13 Lee, Kimyeong M. 13 Nekrasov, Nikita Alexandrovich 13 Pandharipande, Rahul 13 Saidi, El Hassan 12 Bhardwaj, Lakshya 12 Del Zotto, Michele 12 Grassi, Alba 12 Kachru, Shamit 12 Klevers, Denis 12 Lerche, Wolfgang 12 Ooguri, Hirosi 12 Toda, Yukinobu 12 Zinger, Aleksey 11 Aganagic, Mina 11 Anderson, Lara B. 11 Aspinwall, Paul S. 11 Cvetič, Mirjam 11 Gu, Jie 11 He, Yang-Hui Evariste 11 Tatar, Radu 11 Yagi, Futoshi 11 Yau, Shing-Tung 10 Apruzzi, Fabio 10 Collinucci, Andres 10 Diaconescu, Duiliu-Emanuel 10 García-Etxebarria, Iñaki 10 Halverson, James 10 Iritani, Hiroshi 10 Kashani-Poor, Amir-Kian 10 Lawrie, Craig 10 Lee, Seungjoo 10 Mayr, Peter 10 Mayrhofer, Christoph 10 Oehlmann, Paul-Konstantin 10 Savelli, Raffaele 10 Wang, Yinan 9 Brini, Andrea 9 Dasgupta, Keshav 9 Donagi, Ron Y. 9 Grassi, Antonella 9 Guo, Jirui 9 Haghighat, Babak 9 Lin, Ling 9 Liu, Chiu-Chu Melissa 9 Palti, Eran 9 Tanzini, Alessandro 9 Walcher, Johannes 9 Watari, Taizan 8 Bonelli, Giulio 8 Bryan, Jim 8 Cavalieri, Renzo 8 Franco, Sebastián 8 Hanany, Amihay 8 Katzarkov, Ludmil 8 Louis, Jan 8 Marchesano, Fernando 8 Schimannek, Thorsten 8 Soroush, Masoud 7 Candelas, Philip 7 Cao, Yalong 7 Choi, Jinwon 7 Coates, Tom 7 Doran, Charles F. 7 Fang, Bohan 7 Gray, James A. 7 Lockhart, Guglielmo 7 Manabe, Masahide 7 Maulik, Davesh 7 Raghuram, Nikhil 7 Rietsch, Konstanze 7 Romo, Mauricio 7 Skarke, Harald 7 Sułkowski, Piotr 7 Ueda, Kazushi 7 Valenzuela, Irene 7 Wang, Xin 7 Zafrir, Gabi 6 Alim, Murad 6 Belavin, Aleksandr Abramovich 6 Berglund, Per ...and 1,348 more Authors all top 5 Cited in 150 Serials 466 Journal of High Energy Physics 213 Nuclear Physics. B 112 Communications in Mathematical Physics 52 Advances in Mathematics 35 Letters in Mathematical Physics 32 Journal of Geometry and Physics 21 Nuclear Physics. B. Proceedings Supplements 20 Geometry & Topology 19 Journal of Mathematical Physics 18 International Journal of Modern Physics A 18 Journal of Algebraic Geometry 17 Duke Mathematical Journal 17 Journal of the American Mathematical Society 17 Annales Henri Poincaré 14 Mathematische Annalen 14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Transactions of the American Mathematical Society 12 Fortschritte der Physik 12 Selecta Mathematica. New Series 11 Manuscripta Mathematica 11 Mathematische Zeitschrift 10 Inventiones Mathematicae 10 Journal of Algebra 9 Annales de l’Institut Fourier 9 Computer Aided Geometric Design 9 International Journal of Mathematics 8 Theoretical and Mathematical Physics 8 Geometriae Dedicata 8 Proceedings of the American Mathematical Society 8 International Journal of Geometric Methods in Modern Physics 7 Physics Letters. B 7 Compositio Mathematica 7 Journal of Physics A: Mathematical and Theoretical 7 Science China. Mathematics 6 Modern Physics Letters A 6 Michigan Mathematical Journal 6 Journal of Symbolic Computation 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Japanese Journal of Mathematics. 3rd Series 5 European Journal of Mathematics 4 Communications in Algebra 4 Reviews of Modern Physics 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Communications in Contemporary Mathematics 4 Advances in High Energy Physics 4 Forum of Mathematics, Sigma 4 Research in the Mathematical Sciences 3 Rocky Mountain Journal of Mathematics 3 Reviews in Mathematical Physics 3 Collectanea Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Chinese Annals of Mathematics. Series B 3 The Electronic Journal of Combinatorics 3 Bulletin des Sciences Mathématiques 3 Advances in Geometry 3 Central European Journal of Mathematics 3 Kyoto Journal of Mathematics 2 Physics Reports 2 Arkiv för Matematik 2 Mathematics of Computation 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 IMRN. International Mathematics Research Notices 2 The Journal of Geometric Analysis 2 Journal of Knot Theory and its Ramifications 2 Transformation Groups 2 Vietnam Journal of Mathematics 2 Advances in Theoretical and Mathematical Physics 2 LMS Journal of Computation and Mathematics 2 Algebra & Number Theory 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Forum of Mathematics, Pi 2 Complex Manifolds 2 Peking Mathematical Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series ...and 50 more Serials all top 5 Cited in 48 Fields 931 Quantum theory (81-XX) 870 Algebraic geometry (14-XX) 317 Relativity and gravitational theory (83-XX) 219 Differential geometry (53-XX) 172 Several complex variables and analytic spaces (32-XX) 62 Global analysis, analysis on manifolds (58-XX) 58 Manifolds and cell complexes (57-XX) 38 Number theory (11-XX) 37 Nonassociative rings and algebras (17-XX) 37 Category theory; homological algebra (18-XX) 36 Associative rings and algebras (16-XX) 26 Commutative algebra (13-XX) 22 Dynamical systems and ergodic theory (37-XX) 19 Algebraic topology (55-XX) 19 Mechanics of particles and systems (70-XX) 18 Combinatorics (05-XX) 17 Partial differential equations (35-XX) 16 Topological groups, Lie groups (22-XX) 16 Convex and discrete geometry (52-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 11 Special functions (33-XX) 11 Computer science (68-XX) 9 \(K\)-theory (19-XX) 9 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Geometry (51-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.