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Author ID: gross.mark.1 Recent zbMATH articles by "Gross, Mark"
Published as: Gross, Mark
External Links: MGP · Wikidata · GND
Awards: Clay Research Award (2016)

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 1,236 times in 696 Documents Cited by Year
Canonical bases for cluster algebras. Zbl 1446.13015
Gross, Mark; Hacking, Paul; Keel, Sean; Kontsevich, Maxim
124
2018
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
82
2011
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
70
2013
Large complex structure limits of \(K3\) surfaces. Zbl 1027.32021
Gross, Mark; Wilson, P. M. H.
66
2000
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
61
2006
Mirror symmetry for log Calabi-Yau surfaces. I. Zbl 1351.14024
Gross, Mark; Hacking, Paul; Keel, Sean
57
2015
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
48
2003
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
48
2010
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
46
2009
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
42
2010
Birational geometry of cluster algebras. Zbl 1322.14032
Gross, Mark; Hacking, Paul; Keel, Sean
39
2015
Tropical geometry and mirror symmetry. Zbl 1215.14061
Gross, Mark
33
2011
A finiteness theorem for elliptic Calabi-Yau threefolds. Zbl 0838.14033
Gross, Mark
32
1994
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
32
2013
Calabi-Yau threefolds and moduli of Abelian surfaces. I. Zbl 1063.14051
Gross, Mark; Popescu, Sorin
29
2001
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
29
2003
Topological mirror symmetry. Zbl 1077.14052
Gross, Mark
25
2001
Mirror symmetry for \(\mathbb P^2\) and tropical geometry. Zbl 1190.14038
Gross, Mark
22
2010
Examples of special Lagrangian fibrations. Zbl 1034.53054
Gross, Mark
20
2001
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
19
2017
Quivers, curves, and the tropical vertex. Zbl 1227.14049
Gross, Mark; Pandharipande, Rahul
17
2010
Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021
Dolgachev, Igor; Gross, Mark
16
1994
Deforming Calabi-Yau threefolds. Zbl 0935.14026
Gross, Mark
16
1997
Toric degenerations and Batyrev-Borisov duality. Zbl 1086.14035
Gross, Mark
16
2005
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
16
2016
Mirror symmetry and the Strominger-Yau-Zaslow conjecture. Zbl 1294.14015
Gross, Mark
16
2013
Special Lagrangian fibrations. II: Geometry. A survey of techniques in the study of special Lagrangian fibrations. Zbl 1079.14520
Gross, Mark
15
1999
Equations of \((1,d)\)-polarized abelian surfaces. Zbl 0922.14030
Gross, Mark; Popescu, Sorin
15
1998
Primitive Calabi-Yau threefolds. Zbl 0874.32010
Gross, Mark
14
1997
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
14
2011
Moduli of surfaces with an anti-canonical cycle. Zbl 1330.14062
Gross, Mark; Hacking, Paul; Keel, Sean
14
2015
Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds. Zbl 0901.14024
Gross, Mark; Wilson, P. M. H.
13
1997
Special Lagrangian fibrations. I: Topology. Zbl 0964.14033
Gross, Mark
12
1998
The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations. Zbl 1173.14031
Gross, Mark
12
2009
Decomposition of degenerate Gromov-Witten invariants. Zbl 1476.14093
Abramovich, Dan; Chen, Qile; Gross, Mark; Siebert, Bernd
11
2020
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
10
2016
The greedy basis equals the theta basis: A rank two haiku. Zbl 1403.13036
Cheung, Man Wai; Gross, Mark; Muller, Greg; Musiker, Gregg; Rupel, Dylan; Stella, Salvatore; Williams, Harold
10
2017
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
9
2018
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0908.32006
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
8
1996
The moduli space of \((1,11)\)-polarized Abelian surfaces is unirational. Zbl 1015.14022
Gross, Mark; Popescu, Sorin
6
2001
The distribution of bidegrees of smooth surfaces in \(Gr(1,\mathbb{P}^ 3)\). Zbl 0741.14017
Gross, Mark
6
1992
The deformation space of Calabi-Yau \(n\)-folds with canonical singularities can be obstructed. Zbl 0921.14027
Gross, Mark
6
1997
Elliptic three-folds. II: Multiple fibres. Zbl 0884.14017
Gross, Mark
5
1997
Calabi-Yau three-folds and moduli of abelian surfaces. II. Zbl 1228.14039
Gross, Mark; Popescu, Sorin
5
2011
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
5
2014
Surfaces of bidegree \((3,n)\) in \(\text{Gr}(1,\mathbb{P}^ 3)\). Zbl 0812.14033
Gross, Mark
4
1993
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0957.32502
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
4
1996
A Calabi-Yau threefold with Brauer group \((\mathbb Z/8\mathbb Z)^2\). Zbl 1127.14036
Gross, Mark; Pavanelli, Simone
4
2008
Special Lagrangian fibrations. I: Topology. Zbl 1028.14014
Gross, Mark
4
2001
On homological mirror symmetry of toric Calabi-Yau threefolds. Zbl 1475.53096
Gross, Mark; Matessi, Diego
3
2018
Calabi-Yau manifolds and mirror symmetry. Zbl 1014.14019
Gross, Mark
2
2003
Surfaces of degree 10 in \(Gr(1,\mathbb{P}{}^ 3)\). Zbl 0761.14012
Gross, Mark
2
1993
Connecting the web: A prognosis. Zbl 0928.32009
Gross, Mark
1
1999
Geometry of twisted Kähler-Einstein metrics and collapsing. Zbl 1469.32018
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
1
2020
Decomposition of degenerate Gromov-Witten invariants. Zbl 1476.14093
Abramovich, Dan; Chen, Qile; Gross, Mark; Siebert, Bernd
11
2020
Geometry of twisted Kähler-Einstein metrics and collapsing. Zbl 1469.32018
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
1
2020
Canonical bases for cluster algebras. Zbl 1446.13015
Gross, Mark; Hacking, Paul; Keel, Sean; Kontsevich, Maxim
124
2018
Intrinsic mirror symmetry and punctured Gromov-Witten invariants. Zbl 1448.14039
Gross, Mark; Siebert, Bernd
9
2018
On homological mirror symmetry of toric Calabi-Yau threefolds. Zbl 1475.53096
Gross, Mark; Matessi, Diego
3
2018
Towards mirror symmetry for varieties of general type. Zbl 1371.14046
Gross, Mark; Katzarkov, Ludmil; Ruddat, Helge
19
2017
The greedy basis equals the theta basis: A rank two haiku. Zbl 1403.13036
Cheung, Man Wai; Gross, Mark; Muller, Greg; Musiker, Gregg; Rupel, Dylan; Stella, Salvatore; Williams, Harold
10
2017
Gromov-Hausdorff collapsing of Calabi-Yau manifolds. Zbl 1360.14105
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
16
2016
Theta functions and mirror symmetry. Zbl 1354.14062
Gross, Mark; Siebert, Bernd
10
2016
Mirror symmetry for log Calabi-Yau surfaces. I. Zbl 1351.14024
Gross, Mark; Hacking, Paul; Keel, Sean
57
2015
Birational geometry of cluster algebras. Zbl 1322.14032
Gross, Mark; Hacking, Paul; Keel, Sean
39
2015
Moduli of surfaces with an anti-canonical cycle. Zbl 1330.14062
Gross, Mark; Hacking, Paul; Keel, Sean
14
2015
Local mirror symmetry in the tropics. Zbl 1373.14041
Gross, Mark; Siebert, Bernd
5
2014
Logarithmic Gromov-Witten invariants. Zbl 1281.14044
Gross, Mark; Siebert, Bernd
70
2013
Collapsing of abelian fibered Calabi-Yau manifolds. Zbl 1276.32020
Gross, Mark; Tosatti, Valentino; Zhang, Yuguang
32
2013
Mirror symmetry and the Strominger-Yau-Zaslow conjecture. Zbl 1294.14015
Gross, Mark
16
2013
From real affine geometry to complex geometry. Zbl 1266.53074
Gross, Mark; Siebert, Bernd
82
2011
Tropical geometry and mirror symmetry. Zbl 1215.14061
Gross, Mark
33
2011
An invitation to toric degenerations. Zbl 1276.14057
Gross, Mark; Siebert, Bernd
14
2011
Calabi-Yau three-folds and moduli of abelian surfaces. II. Zbl 1228.14039
Gross, Mark; Popescu, Sorin
5
2011
The tropical vertex. Zbl 1205.14069
Gross, Mark; Pandharipande, Rahul; Siebert, Bernd
48
2010
Mirror symmetry via logarithmic degeneration data. II. Zbl 1209.14033
Gross, Mark; Siebert, Bernd
42
2010
Mirror symmetry for \(\mathbb P^2\) and tropical geometry. Zbl 1190.14038
Gross, Mark
22
2010
Quivers, curves, and the tropical vertex. Zbl 1227.14049
Gross, Mark; Pandharipande, Rahul
17
2010
Dirichlet branes and mirror symmetry. Zbl 1188.14026
Aspinwall, S.; Bridgeland, Tom; Craw, Alastair; Douglas, Michael R.; Gross, Mark; Kapustin, Anton; Moore, Gregory W.; Segal, Graeme; Szendrői, Balázs; Wilson, P. M. H.
46
2009
The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations. Zbl 1173.14031
Gross, Mark
12
2009
A Calabi-Yau threefold with Brauer group \((\mathbb Z/8\mathbb Z)^2\). Zbl 1127.14036
Gross, Mark; Pavanelli, Simone
4
2008
Mirror symmetry via logarithmic degeneration data. I. Zbl 1107.14029
Gross, Mark; Siebert, Bernd
61
2006
Toric degenerations and Batyrev-Borisov duality. Zbl 1086.14035
Gross, Mark
16
2005
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
48
2003
Affine manifolds, log structures, and mirror symmetry. Zbl 1063.14048
Gross, Mark; Siebert, Bernd
29
2003
Calabi-Yau manifolds and mirror symmetry. Zbl 1014.14019
Gross, Mark
2
2003
Calabi-Yau threefolds and moduli of Abelian surfaces. I. Zbl 1063.14051
Gross, Mark; Popescu, Sorin
29
2001
Topological mirror symmetry. Zbl 1077.14052
Gross, Mark
25
2001
Examples of special Lagrangian fibrations. Zbl 1034.53054
Gross, Mark
20
2001
The moduli space of \((1,11)\)-polarized Abelian surfaces is unirational. Zbl 1015.14022
Gross, Mark; Popescu, Sorin
6
2001
Special Lagrangian fibrations. I: Topology. Zbl 1028.14014
Gross, Mark
4
2001
Large complex structure limits of \(K3\) surfaces. Zbl 1027.32021
Gross, Mark; Wilson, P. M. H.
66
2000
Special Lagrangian fibrations. II: Geometry. A survey of techniques in the study of special Lagrangian fibrations. Zbl 1079.14520
Gross, Mark
15
1999
Connecting the web: A prognosis. Zbl 0928.32009
Gross, Mark
1
1999
Equations of \((1,d)\)-polarized abelian surfaces. Zbl 0922.14030
Gross, Mark; Popescu, Sorin
15
1998
Special Lagrangian fibrations. I: Topology. Zbl 0964.14033
Gross, Mark
12
1998
Deforming Calabi-Yau threefolds. Zbl 0935.14026
Gross, Mark
16
1997
Primitive Calabi-Yau threefolds. Zbl 0874.32010
Gross, Mark
14
1997
Mirror symmetry via 3-tori for a class of Calabi-Yau threefolds. Zbl 0901.14024
Gross, Mark; Wilson, P. M. H.
13
1997
The deformation space of Calabi-Yau \(n\)-folds with canonical singularities can be obstructed. Zbl 0921.14027
Gross, Mark
6
1997
Elliptic three-folds. II: Multiple fibres. Zbl 0884.14017
Gross, Mark
5
1997
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0908.32006
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
8
1996
Black hole condensation and the web of Calabi-Yau manifolds. Zbl 0957.32502
Chiang, Ti-Ming; Greene, Brian R.; Gross, Mark; Kanter, Yakov
4
1996
A finiteness theorem for elliptic Calabi-Yau threefolds. Zbl 0838.14033
Gross, Mark
32
1994
Elliptic threefolds. I: Ogg-Shafarevich theory. Zbl 0803.14021
Dolgachev, Igor; Gross, Mark
16
1994
Surfaces of bidegree \((3,n)\) in \(\text{Gr}(1,\mathbb{P}^ 3)\). Zbl 0812.14033
Gross, Mark
4
1993
Surfaces of degree 10 in \(Gr(1,\mathbb{P}{}^ 3)\). Zbl 0761.14012
Gross, Mark
2
1993
The distribution of bidegrees of smooth surfaces in \(Gr(1,\mathbb{P}^ 3)\). Zbl 0741.14017
Gross, Mark
6
1992
all top 5

Cited by 776 Authors

22 Gross, Mark
12 Ruddat, Helge P.
11 Ranganathan, Dhruv
10 Chen, Qile
10 Morrison, David R.
10 Siebert, Bernd
9 Katzarkov, Ludmil
9 Markwig, Hannah
9 Taylor, Washington IV
9 Tosatti, Valentino
8 Bousseau, Pierrick
8 Chan, Kwokwai
8 Lau, Siu-Cheong
8 Mandel, Travis
8 Wise, Jonathan
7 Cao, Peigen
7 Li, Fang
6 Borisov, Lev A.
6 Prince, Thomas M.
6 Sawon, Justin
6 Stoppa, Jacopo
6 van Garrel, Michel
6 Yu, Tony Yue
6 Zhang, Yuguang
5 Abramovich, Dan
5 Anderson, Lara B.
5 Farajzadeh Tehrani, Mohammad
5 Filippini, Sara Angela
5 Gray, James A.
5 Koshevoy, Gleb A.
5 Lee, Namhoon
5 Matessi, Diego
5 Oguiso, Keiji
5 Parker, Brett
5 Reading, Nathan
5 Sibilla, Nicolò
5 Stella, Salvatore
5 Talpo, Mattia
5 Zharkov, Ilia
5 Zhu, Yi
5 Zinger, Aleksey
4 Abouzaid, Mohammed
4 Allegretti, Dylan Gregory Lucasi
4 Bossinger, Lara
4 Braun, Andreas P.
4 Bucher, Eric
4 Cecotti, Sergio
4 Harder, Andrew
4 Hein, Hans-Joachim
4 Igusa, Kiyoshi
4 Jacob, Adam
4 Katz, Sheldon
4 Lee, Kyungyong
4 Pandharipande, Rahul
4 Pascaleff, James
4 Pelayo, Alvaro
4 Przhiyalkovskiĭ, Viktor Vladimirovich
4 Reineke, Markus
4 Shen, Linhui
4 Song, Jian
4 Tian, Gang
4 Williams, Harold
4 Wilson, Pelham Mark Hedley
4 Yau, Shing-Tung
4 Zhang, Yashan
3 Acharya, Bobby Samir
3 Arrondo, Enrique
3 Bayer, Arend
3 Böhm, Janko
3 Brüstle, Thomas
3 Camere, Chiara
3 Cavalieri, Renzo
3 Cheung, Man-Wai Mandy
3 Dimofte, Tudor Dan
3 Ferreira de Velloso Vianna, Renato
3 Fisher, Tom A.
3 Fraser, Chris
3 Gao, Xin
3 Gritsenko, Valeriĭ Alekseevich
3 Hacking, Paul
3 Hosono, Shinobu
3 Jian, Wangjian
3 Kanazawa, Atsushi
3 Kapustka, Michał
3 Kasprzyk, Alexander M.
3 Kimura, Yusuke
3 Klemm, Albrecht
3 Laza, Radu
3 Lazaroiu, Calin Iuliu
3 Le, Ian
3 Lee, Seungjoo
3 Leung, Naichung Conan
3 Li, Zhan
3 Lin, Yu-Shen
3 Longhi, Pietro
3 Ma, Ziming Nikolas
3 Macrì, Emanuele
3 Marcus, Steffen
3 Mills, Matthew R.
3 Moore, Gregory Winthrop
...and 676 more Authors
all top 5

Cited in 144 Serials

60 Advances in Mathematics
46 Journal of High Energy Physics
32 Communications in Mathematical Physics
24 Selecta Mathematica. New Series
22 Transactions of the American Mathematical Society
21 Nuclear Physics. B
21 Compositio Mathematica
19 Journal of Geometry and Physics
19 Mathematische Annalen
19 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
16 Manuscripta Mathematica
16 Journal of Algebraic Geometry
15 Duke Mathematical Journal
15 Mathematische Zeitschrift
11 Inventiones Mathematicae
11 Proceedings of the American Mathematical Society
11 Geometry & Topology
10 Journal of the American Mathematical Society
10 International Journal of Mathematics
8 Journal of Algebra
8 Journal für die Reine und Angewandte Mathematik
7 Letters in Mathematical Physics
7 The Journal of Geometric Analysis
6 Annales de l’Institut Fourier
6 Geometriae Dedicata
6 Journal of Combinatorial Theory. Series A
6 Bulletin of the American Mathematical Society. New Series
6 Journal of the European Mathematical Society (JEMS)
5 The Electronic Journal of Combinatorics
5 Annales Henri Poincaré
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Forum of Mathematics, Sigma
5 Algebraic Combinatorics
4 Publications Mathématiques
4 Journal of the Mathematical Society of Japan
4 IMRN. International Mathematics Research Notices
4 Documenta Mathematica
4 Séminaire Lotharingien de Combinatoire
4 Science China. Mathematics
3 Israel Journal of Mathematics
3 Journal of Mathematical Physics
3 Fortschritte der Physik
3 Journal of Differential Geometry
3 Memoirs of the American Mathematical Society
3 Geometric and Functional Analysis. GAFA
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Experimental Mathematics
3 Journal of Algebraic Combinatorics
3 Journal of Singularities
3 Research in the Mathematical Sciences
3 European Journal of Mathematics
2 International Journal of Modern Physics A
2 Communications in Algebra
2 Physics Letters. B
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin of the London Mathematical Society
2 Canadian Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Journal of Pure and Applied Algebra
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Pacific Journal of Mathematics
2 Advances in Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 The New York Journal of Mathematics
2 Transformation Groups
2 Algebras and Representation Theory
2 Annals of Mathematics. Second Series
2 Communications in Contemporary Mathematics
2 Journal of the Institute of Mathematics of Jussieu
2 Journal of Physics A: Mathematical and Theoretical
2 Algebra & Number Theory
2 Advances in High Energy Physics
2 Kyoto Journal of Mathematics
2 Forum of Mathematics, Pi
2 Bollettino dell’Unione Matematica Italiana
2 Journal of Combinatorial Algebra
1 Discrete Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Reports
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Acta Arithmetica
1 Acta Mathematica
1 Illinois Journal of Mathematics
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Kyungpook Mathematical Journal
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
...and 44 more Serials

Citations by Year

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