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Baker, Matthew H.

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Author ID: baker.matthew-h Recent zbMATH articles by "Baker, Matthew H."
Published as: Baker, Matt; Baker, Matthew; Baker, Matthew H.
Homepage: http://people.math.gatech.edu/~mbaker/
External Links: MGP
Documents Indexed: 48 Publications since 1999, including 3 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 912 times in 499 Documents Cited by Year
Riemann-Roch and Abel-Jacobi theory on a finite graph. Zbl 1124.05049
Baker, Matthew; Norine, Serguei
142
2007
Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002
Baker, Matthew; Rumely, Robert
85
2010
Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad). Zbl 1162.14018
Baker, Matthew
71
2008
Nonarchimedean geometry, tropicalization, and metrics on curves. Zbl 06609386
Baker, Matthew; Payne, Sam; Rabinoff, Joseph
58
2016
Harmonic morphisms and hyperelliptic graphs. Zbl 1178.05031
Baker, Matthew; Norine, Serguei
57
2009
Chip-firing games, potential theory on graphs, and spanning trees. Zbl 1408.05089
Baker, Matthew; Shokrieh, Farbod
41
2013
Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082
Baker, Matthew H.; Rumely, Robert
34
2006
Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. Zbl 1327.14117
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
30
2015
Linear series on metrized complexes of algebraic curves. Zbl 1355.14007
Amini, Omid; Baker, Matthew
29
2015
On the structure of non-Archimedean analytic curves. Zbl 1320.14040
Baker, Matthew; Payne, Sam; Rabinoff, Joseph
27
2013
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
26
2005
Lifting harmonic morphisms. II: Tropical curves and metrized complexes. Zbl 1312.14138
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
24
2015
A finiteness theorem for canonical heights attached to rational maps over function fields. Zbl 1187.37133
Baker, Matthew
23
2009
Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025
Baker, Matthew; Faber, Xander
23
2006
Preperiodic points and unlikely intersections. Zbl 1242.37062
Baker, Matthew; DeMarco, Laura
22
2011
Harmonic analysis on metrized graphs. Zbl 1123.43006
Baker, Matt; Rumely, Robert
22
2007
Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060
Baker, Matthew; Faber, Xander
18
2011
Canonical representatives for divisor classes on tropical curves and the matrix-tree theorem. Zbl 1306.05013
An, Yang; Baker, Matthew; Kuperberg, Greg; Shokrieh, Farbod
17
2014
The skeleton of the Jacobian, the Jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves. Zbl 1332.14038
Baker, Matthew; Rabinoff, Joseph
16
2015
Canonical heights, transfinite diameters, and polynomial dynamics. Zbl 1071.11040
Baker, Matthew H.; Hsia, Liang-Chung
15
2005
Matroids over partial hyperstructures. Zbl 1404.05022
Baker, Matthew; Bowler, Nathan
12
2019
Degeneration of linear series from the tropical point of view and applications. Zbl 1349.14193
Baker, Matthew; Jensen, David
12
2016
Bitangents of tropical plane quartic curves. Zbl 1371.14067
Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; Ren, Qingchun
10
2016
Special curves and postcritically finite polynomials. Zbl 1320.37022
Baker, Matthew; De Marco, Laura
9
2013
A finiteness property of torsion points. Zbl 1182.11030
Baker, Matthew; Ih, Su-ion; Rumely, Robert
9
2008
An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves. Zbl 1153.14018
Baker, Matthew
8
2008
A lower bound for average values of dynamical Green’s functions. Zbl 1173.11041
Baker, Matthew
8
2006
A lower bound for the canonical height on abelian varieties over abelian extensions. Zbl 1060.11041
Baker, Matthew H.; Silverman, Joseph H.
7
2004
The Bernardi process and torsor structures on spanning trees. Zbl 1404.05027
Baker, Matthew; Wang, Yao
6
2018
Global discrepancy and small points on elliptic curves. Zbl 1120.11025
Baker, Matthew; Petsche, Clayton
6
2005
Galois theory and torsion points on curves. Zbl 1065.11045
Baker, Matthew H.; Ribet, Kenneth A.
6
2003
Automorphisms of \(X_0^*(p)\). Zbl 1088.11049
Baker, Matthew; Hasegawa, Yuji
6
2003
Lower bounds for the canonical height on elliptic curves over abelian extensions. Zbl 1114.11058
Baker, Matthew H.
5
2003
Torsion points on modular curves. Zbl 0972.11057
Baker, Matthew H.
5
2000
Cartier points on curves. Zbl 0994.14020
Baker, Matthew H.
5
2000
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
4
2001
Weight functions on Berkovich curves. Zbl 1375.14208
Baker, Matthew; Nicaise, Johannes
3
2016
Geometric bijections for regular matroids, zonotopes, and Ehrhart theory. Zbl 1411.05049
Backman, Spencer; Baker, Matthew; Yuen, Chi Ho
2
2018
Hodge theory in combinatorics. Zbl 1376.05046
Baker, Matthew
2
2018
Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Zbl 1354.14004
Baker, Matthew (ed.); Payne, Sam (ed.)
2
2016
Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002
Amini, Omid (ed.); Baker, Matthew (ed.); Faber, Xander (ed.)
2
2013
Equidistribution of small subvarieties of an Abelian variety. Zbl 1131.11035
Baker, Matthew; Ih, Su-ion
2
2004
Geometric bijections for regular matroids, zonotopes, and Ehrhart theory. Zbl 1429.52017
Backman, Spencer; Baker, Matthew; Yuen, Chi Ho
1
2019
Matroids over partial hyperstructures. Zbl 1404.05022
Baker, Matthew; Bowler, Nathan
12
2019
Geometric bijections for regular matroids, zonotopes, and Ehrhart theory. Zbl 1429.52017
Backman, Spencer; Baker, Matthew; Yuen, Chi Ho
1
2019
The Bernardi process and torsor structures on spanning trees. Zbl 1404.05027
Baker, Matthew; Wang, Yao
6
2018
Geometric bijections for regular matroids, zonotopes, and Ehrhart theory. Zbl 1411.05049
Backman, Spencer; Baker, Matthew; Yuen, Chi Ho
2
2018
Hodge theory in combinatorics. Zbl 1376.05046
Baker, Matthew
2
2018
Nonarchimedean geometry, tropicalization, and metrics on curves. Zbl 06609386
Baker, Matthew; Payne, Sam; Rabinoff, Joseph
58
2016
Degeneration of linear series from the tropical point of view and applications. Zbl 1349.14193
Baker, Matthew; Jensen, David
12
2016
Bitangents of tropical plane quartic curves. Zbl 1371.14067
Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; Ren, Qingchun
10
2016
Weight functions on Berkovich curves. Zbl 1375.14208
Baker, Matthew; Nicaise, Johannes
3
2016
Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Zbl 1354.14004
Baker, Matthew (ed.); Payne, Sam (ed.)
2
2016
Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. Zbl 1327.14117
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
30
2015
Linear series on metrized complexes of algebraic curves. Zbl 1355.14007
Amini, Omid; Baker, Matthew
29
2015
Lifting harmonic morphisms. II: Tropical curves and metrized complexes. Zbl 1312.14138
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
24
2015
The skeleton of the Jacobian, the Jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves. Zbl 1332.14038
Baker, Matthew; Rabinoff, Joseph
16
2015
Canonical representatives for divisor classes on tropical curves and the matrix-tree theorem. Zbl 1306.05013
An, Yang; Baker, Matthew; Kuperberg, Greg; Shokrieh, Farbod
17
2014
Chip-firing games, potential theory on graphs, and spanning trees. Zbl 1408.05089
Baker, Matthew; Shokrieh, Farbod
41
2013
On the structure of non-Archimedean analytic curves. Zbl 1320.14040
Baker, Matthew; Payne, Sam; Rabinoff, Joseph
27
2013
Special curves and postcritically finite polynomials. Zbl 1320.37022
Baker, Matthew; De Marco, Laura
9
2013
Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Zbl 1281.14002
Amini, Omid (ed.); Baker, Matthew (ed.); Faber, Xander (ed.)
2
2013
Preperiodic points and unlikely intersections. Zbl 1242.37062
Baker, Matthew; DeMarco, Laura
22
2011
Metric properties of the tropical Abel-Jacobi map. Zbl 1215.14060
Baker, Matthew; Faber, Xander
18
2011
Potential theory and dynamics on the Berkovich projective line. Zbl 1196.14002
Baker, Matthew; Rumely, Robert
85
2010
Harmonic morphisms and hyperelliptic graphs. Zbl 1178.05031
Baker, Matthew; Norine, Serguei
57
2009
A finiteness theorem for canonical heights attached to rational maps over function fields. Zbl 1187.37133
Baker, Matthew
23
2009
Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad). Zbl 1162.14018
Baker, Matthew
71
2008
A finiteness property of torsion points. Zbl 1182.11030
Baker, Matthew; Ih, Su-ion; Rumely, Robert
9
2008
An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves. Zbl 1153.14018
Baker, Matthew
8
2008
Riemann-Roch and Abel-Jacobi theory on a finite graph. Zbl 1124.05049
Baker, Matthew; Norine, Serguei
142
2007
Harmonic analysis on metrized graphs. Zbl 1123.43006
Baker, Matt; Rumely, Robert
22
2007
Equidistribution of small points, rational dynamics, and potential theory. Zbl 1234.11082
Baker, Matthew H.; Rumely, Robert
34
2006
Metrized graphs, Laplacian operators, and electrical networks. Zbl 1114.94025
Baker, Matthew; Faber, Xander
23
2006
A lower bound for average values of dynamical Green’s functions. Zbl 1173.11041
Baker, Matthew
8
2006
Finiteness results for modular curves of genus at least 2. Zbl 1127.11041
Baker, Matthew H.; González-Jiménez, Enrique; Gonzáles, Josep; Poonen, Bjorn
26
2005
Canonical heights, transfinite diameters, and polynomial dynamics. Zbl 1071.11040
Baker, Matthew H.; Hsia, Liang-Chung
15
2005
Global discrepancy and small points on elliptic curves. Zbl 1120.11025
Baker, Matthew; Petsche, Clayton
6
2005
A lower bound for the canonical height on abelian varieties over abelian extensions. Zbl 1060.11041
Baker, Matthew H.; Silverman, Joseph H.
7
2004
Equidistribution of small subvarieties of an Abelian variety. Zbl 1131.11035
Baker, Matthew; Ih, Su-ion
2
2004
Galois theory and torsion points on curves. Zbl 1065.11045
Baker, Matthew H.; Ribet, Kenneth A.
6
2003
Automorphisms of \(X_0^*(p)\). Zbl 1088.11049
Baker, Matthew; Hasegawa, Yuji
6
2003
Lower bounds for the canonical height on elliptic curves over abelian extensions. Zbl 1114.11058
Baker, Matthew H.
5
2003
Torsion packets on curves. Zbl 0987.14020
Baker, Matthew; Poonen, Bjorn
4
2001
Torsion points on modular curves. Zbl 0972.11057
Baker, Matthew H.
5
2000
Cartier points on curves. Zbl 0994.14020
Baker, Matthew H.
5
2000
all top 5

Cited by 531 Authors

16 Ghioca, Dragos
12 Baker, Matthew H.
12 Tucker, Thomas John
11 Morrison, Ralph
10 Favre, Charles
10 Ranganathan, Dhruv
8 Backman, Spencer
8 Gubler, Walter Bruno
7 Cools, Filip
7 González, Josep R.
7 Ingram, Patrick
7 Jonsson, Mattias
7 Len, Yoav
7 Markwig, Hannah
7 Mednykh, Il’ya Aleksandrovich
7 Ulirsch, Martin
6 Fan, Shilei
6 Foster, Tyler
6 Glass, Darren B.
6 Jensen, David L.
6 Jun, Jaiung
6 Mednykh, Aleksandr Dmitrievich
6 Okuyama, Yûsuke
6 Payne, Sam
6 Werner, Annette
5 Benedetto, Robert L.
5 Caporaso, Lucia
5 Cinkir, Zubeyir
5 DeMarco, Laura Grace
5 Faber, Xander
5 Fili, Paul A.
5 Klivans, Caroline J.
5 Levine, Lionel
5 Petsche, Clayton
4 Aidun, Ivan
4 Amini, Omid
4 Boucksom, Sébastien
4 Cartwright, Dustin A.
4 Chan, Melody
4 Connes, Alain
4 Draisma, Jan
4 Grant, David M.
4 He, Xiang
4 Hopkins, Samuel Francis
4 Hsia, Liang-Chung
4 Ih, Su-ion
4 Jacobs, Kenneth S.
4 Jell, Philipp
4 Jeon, Daeyeol
4 Kedlaya, Kiran Sridhara
4 Liao, Lingmin
4 Manjunath, Madhusudan
4 Nguyen, Khoa Dang
4 Osserman, Brian
4 Perkinson, David
4 Pflueger, Nathan
4 Rabinoff, Joseph
4 Rumely, Robert S.
4 Shokrieh, Farbod
4 Silverman, Joseph Hillel
4 Sombra, Martín
4 Tóthmérész, Lilla
4 Wang, Yuefei
4 Yu, Tony Yue
3 Baldassarri, Francesco
3 Bars Cortina, Francesc
3 Castryck, Wouter
3 Consani, Caterina
3 Coppens, Marc
3 Cornelissen, Gunther
3 Cueto, María Angélica
3 Dean, Frances
3 Doyle, John R.
3 Gauthier, Thomas
3 Hindes, Wade
3 Katz, Eric
3 Kim, Chang Heon
3 Kiwi, Jan
3 Manes, Michelle
3 Marcus, Steffen
3 Melo, Margarida
3 Nedela, Roman
3 Nicaise, Johannes
3 Pacini, Marco
3 Panizzut, Marta
3 Poonen, Bjorn
3 Pottmeyer, Lukas
3 Pulita, Andrea
3 Ren, Qingchun
3 Rowen, Louis Halle
3 Sturmfels, Bernd
3 Temkin, Michael
3 Welliaveetil, John
3 Wise, Jonathan
3 Ye, Hexi
3 Yu, Teresa
3 Yuan, Julie
3 Yuen, Chi Ho
3 Zhu, Yifei
2 Abreu, Alex C.
...and 431 more Authors
all top 5

Cited in 135 Serials

24 Journal of Number Theory
22 Transactions of the American Mathematical Society
21 Mathematische Zeitschrift
19 Advances in Mathematics
19 Mathematische Annalen
12 European Journal of Combinatorics
12 Journal of Algebraic Combinatorics
11 Annales de l’Institut Fourier
11 Journal of Algebra
11 Journal de Théorie des Nombres de Bordeaux
10 Journal of Combinatorial Theory. Series A
10 Manuscripta Mathematica
9 Proceedings of the American Mathematical Society
8 Discrete Mathematics
7 Acta Arithmetica
7 Duke Mathematical Journal
7 Linear Algebra and its Applications
7 Séminaire Lotharingien de Combinatoire
7 Algebra & Number Theory
7 Research in the Mathematical Sciences
6 Israel Journal of Mathematics
6 Mathematics of Computation
6 Journal of Pure and Applied Algebra
6 Journal für die Reine und Angewandte Mathematik
6 Selecta Mathematica. New Series
5 Discrete Applied Mathematics
5 Ergodic Theory and Dynamical Systems
5 SIAM Journal on Discrete Mathematics
5 Journal of Algebraic Geometry
5 International Journal of Number Theory
5 Algebraic Combinatorics
4 Compositio Mathematica
4 Geometriae Dedicata
4 Inventiones Mathematicae
4 Advances in Applied Mathematics
4 Journal of Symbolic Computation
4 Annals of Combinatorics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Forum of Mathematics, Sigma
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Beiträge zur Algebra und Geometrie
3 Bulletin of the London Mathematical Society
3 Collectanea Mathematica
3 Michigan Mathematical Journal
3 Monatshefte für Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Journal of the American Mathematical Society
3 Bulletin of the American Mathematical Society. New Series
3 Experimental Mathematics
3 The Electronic Journal of Combinatorics
3 Advances in Geometry
3 Research in Number Theory
2 American Mathematical Monthly
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Acta Mathematica
2 Archiv der Mathematik
2 Mathematische Nachrichten
2 Nagoya Mathematical Journal
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Computer Science
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 L’Enseignement Mathématique. 2e Série
2 The Australasian Journal of Combinatorics
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Mathematical Sciences (New York)
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 Algebraic & Geometric Topology
2 Complex Analysis and Operator Theory
2 Science China. Mathematics
2 Analysis and Mathematical Physics
2 Open Mathematics
1 Bulletin of the Australian Mathematical Society
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Czechoslovak Mathematical Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Kybernetika
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Ricerche di Matematica
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Combinatorica
1 Journal of Classification
1 Probability Theory and Related Fields
1 Journal of Complexity
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Automation and Remote Control
...and 35 more Serials
all top 5

Cited in 51 Fields

270 Algebraic geometry (14-XX)
148 Number theory (11-XX)
140 Combinatorics (05-XX)
106 Dynamical systems and ergodic theory (37-XX)
40 Several complex variables and analytic spaces (32-XX)
24 Convex and discrete geometry (52-XX)
23 Field theory and polynomials (12-XX)
21 Commutative algebra (13-XX)
17 Group theory and generalizations (20-XX)
13 Functions of a complex variable (30-XX)
12 Computer science (68-XX)
11 Potential theory (31-XX)
10 Associative rings and algebras (16-XX)
9 Difference and functional equations (39-XX)
8 Probability theory and stochastic processes (60-XX)
8 Information and communication theory, circuits (94-XX)
7 Algebraic topology (55-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Mathematical logic and foundations (03-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Real functions (26-XX)
4 Partial differential equations (35-XX)
4 Differential geometry (53-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 General and overarching topics; collections (00-XX)
3 General algebraic systems (08-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Ordinary differential equations (34-XX)
2 Abstract harmonic analysis (43-XX)
2 Geometry (51-XX)
2 Numerical analysis (65-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year