Matthew Baker

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All published works

Action	Title	Year	Authors
+ PDF Chat	Reciprocity via Reciprocants	2025	Matthew Baker
+	Lift theorems for representations of matroids over pastures	2024	Matthew Baker Oliver Lorscheid
+ PDF Chat	The foundation of generalized parallel connections, 2-sums, and segment-cosegment exchanges of matroids	2024	Matthew Baker Oliver Lorscheid Zach Walsh Tianyi Zhang
+ PDF Chat	New building blocks for $\mathbb{F}_1$-geometry: bands and band schemes	2024	Matthew Baker Jin Tong Oliver Lorscheid
+ PDF Chat	On the existence of balanced generalized de Bruijn sequences	2023	Matthew Baker Bhumika Mittal Haran Mouli Eric Tang
+	The Jacobian of a Sixth-Root-of-Unity Matroid	2023	Matthew Baker Changxin Ding Zhuang Xu
+	Reciprocity via Reciprocants	2023	Matthew Baker
+	On a theorem of Lafforgue	2023	Matthew Baker Oliver Lorscheid
+	Foundations of matroids -- Part 2: Further theory, examples, and computational methods	2023	Matthew Baker Oliver Lorscheid Tianyi Zhang
+ PDF Chat	Fusion rules for pastures and tracts	2022	Matthew Baker Tianyi Zhang
+ PDF Chat	The moduli space of matroids	2021	Matthew Baker Oliver Lorscheid
+	Fusion rules for pastures and tracts	2021	Matthew Baker Tianyi Zhang
+ PDF Chat	Descartes' rule of signs, Newton polygons, and polynomials over hyperfields	2020	Matthew Baker Oliver Lorscheid
+	Foundations of matroids I: Matroids without large uniform minors	2020	Matthew Baker Oliver Lorscheid
+	On the structure of hyperfields obtained as quotients of fields	2020	Matthew Baker Tong Jin
+ PDF Chat	GEOMETRIC BIJECTIONS FOR REGULAR MATROIDS, ZONOTOPES, AND EHRHART THEORY	2019	Spencer Backman Matthew Baker Chi Ho Yuen
+	Matroids over partial hyperstructures	2018	Matthew Baker Nathan Bowler
+	Descartes' rule of signs, Newton polygons, and polynomials over hyperfields	2018	Matthew Baker Oliver Lorscheid
+	The moduli space of matroids	2018	Matthew Baker Oliver Lorscheid
+	The moduli space of matroids	2018	Matthew Baker Oliver Lorscheid
+	Matroids over partial hyperstructures	2017	Matthew Baker Nathan Bowler
+ PDF Chat	Hodge theory in combinatorics	2017	Matthew Baker
+	Hodge theory in combinatorics	2017	Matthew Baker
+ PDF Chat	The Bernardi Process and Torsor Structures on Spanning Trees	2017	Matthew Baker Yao Wang
+ PDF Chat	Weight functions on Berkovich curves	2016	Matthew Baker Johannes Nicaise
+	Nonarchimedean geometry, tropicalization, and metrics on curves	2016	Matthew Baker Sam Payne Joseph Rabinoff
+	Matroids over hyperfields	2016	Matthew Baker Nathan Bowler
+ PDF Chat	Degeneration of Linear Series from the Tropical Point of View and Applications	2016	Matthew Baker David Jensen
+	Nonarchimedean and Tropical Geometry	2016	Matthew Baker Sam Payne
+ PDF Chat	Bitangents of tropical plane quartic curves	2015	Matthew Baker Yoav Len Ralph Morrison Nathan Pflueger Qingchun Ren
+ PDF Chat	Robert F. Coleman 1954–2014	2015	Matthew Baker Barry Mazur Kenneth A. Ribet
+ PDF Chat	Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta	2015	Omid Amini Matthew Baker Erwan Brugallé Joseph Rabinoff
+	Weight functions on Berkovich curves	2015	Matthew Baker Johannes Nicaise
+ PDF Chat	Lifting harmonic morphisms II: Tropical curves and metrized complexes	2015	Omid Amini Matthew Baker Erwan Brugallé Joseph Rabinoff
+	Algebra & Number Theory	2015	Omid Amini Matthew Baker Erwan Brugallé Joseph Rabino
+	Robert F. Coleman 1954-2014	2014	Matthew Baker Barry Mazur Kenneth A. Ribet
+	The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.	2014	Matthew Baker Joseph Rabinoff
+ PDF Chat	Linear series on metrized complexes of algebraic curves	2014	Omid Amini Matthew Baker
+ PDF Chat	CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM	2014	Yang An Matthew Baker Greg Kuperberg Farbod Shokrieh
+	The Bernardi process and torsor structures on spanning trees	2014	Matthew Baker Yao Wang
+ PDF Chat	Tropical and Non-Archimedean Geometry	2013	Omid Amini Matthew Baker Xander Faber
+	The skeleton of the Jacobian, the Jacobian of the skeleton, and lifting meromorphic functions from tropical to algebraic curves	2013	Matthew Baker Joseph Rabinoff
+	Lifting harmonic morphisms of tropical curves, metrized complexes, and Berkovich skeleta	2013	Omid Amini Matthew Baker Erwan Brugallé Joseph Rabinoff
+	Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta	2013	Omid Amini Matthew Baker Erwan Brugallé Joseph Rabinoff
+ PDF Chat	On the structure of non-archimedean analytic curves	2013	Matthew Baker Sam Payne Joseph Rabinoff
+ PDF Chat	SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS	2013	Matthew Baker Laura De Marco
+	Tropical and non-Archimedean geometry : Bellairs Workshop in Number Theory, May 6-13, 2011, Bellairs Research Institute, Holetown, Barbados	2013	Omid Amini Matthew Baker Xander Faber
+	Special curves and postcritically-finite polynomials	2012	Matthew Baker Laura DeMarco
+	Chip-firing games, potential theory on graphs, and spanning trees	2012	Matthew Baker Farbod Shokrieh
+	Linear series on metrized complexes of algebraic curves	2012	Omid Amini Matthew Baker
+ PDF Chat	Preperiodic points and unlikely intersections	2011	Matthew Baker Laura DeMarco
+	Nonarchimedean geometry, tropicalization, and metrics on curves	2011	Matthew Baker Sam Payne Joseph Rabinoff
+	Analysis on Berkovich spaces and applications	2010	Matthew Baker
+ PDF Chat	Metric properties of the tropical Abel–Jacobi map	2010	Matthew Baker Xander Faber
+	Potential Theory and Dynamics on the Berkovich Projective Line	2010	Matthew Baker Robert Rumely
+	The Laplacian on the Berkovich projective line	2010	Matthew Baker Robert Rumely
+	The Berkovich unit disc	2010	Matthew Baker Robert Rumely
+	The Berkovich projective line	2010	Matthew Baker Robert Rumely
+	ℝ-trees and Gromov hyperbolicity	2010	Matthew Baker Robert Rumely
+	Subharmonic functions	2010	Matthew Baker Robert Rumely
+	Metric Properties of the Tropical Abel-Jacobi Map	2009	Matthew Baker Xander Faber
+ PDF Chat	Uncountable Sets and an Infinite Real Number Game	2009	Matthew Baker
+ PDF Chat	A finiteness theorem for canonical heights attached to rational maps over function fields	2009	Matthew Baker
+ PDF Chat	Specialization of linear systems from curves to graphs	2008	Matthew Baker
+	An introduction to Berkovich analytic spaces and non-archimedean potential theory on curves	2008	Matthew Baker
+	𝑝-adic Geometry	2008	Matthew Baker Brian Conrad Samit Dasgupta Kiran S. Kedlaya Jeremy Teitelbaum
+ PDF Chat	A finiteness property of torsion points	2008	Matthew Baker Su-Ion Ih Robert Rumely
+	Uncountable Sets and an Infinite Real Number Game	2007	Matthew Baker
+	Riemann–Roch and Abel–Jacobi theory on a finite graph	2007	Matthew Baker Serguei Norine
+	Graphs, arithmetic surfaces, and the Riemann-Roch theorem	2007	Matthew Baker
+	Harmonic morphisms and hyperelliptic graphs	2007	Matthew Baker Serguei Norine
+	Specialization of linear systems from curves to graphs	2007	Matthew Baker
+ PDF Chat	Equidistribution of Small Points, Rational Dynamics, and Potential Theory	2006	Matthew Baker Robert Rumely
+ PDF Chat	A lower bound for average values of dynamical Green’s functions	2006	Matthew Baker
+	Uncountable sets and an infinite real number game	2006	Matthew Baker
+	A finiteness theorem for canonical heights attached to rational maps over function fields	2006	Matthew Baker
+	Riemann-Roch and Abel-Jacobi theory on a finite graph	2006	Matthew Baker Serguei Norine
+	Uniform structures and Berkovich spaces	2006	Matthew Baker
+	Metrized graphs, Laplacian operators, and electrical networks	2006	Matthew Baker Xander Faber
+ PDF Chat	Finiteness results for modular curves of genus at least 2	2005	Matthew Baker Enrique González–Jiménez Josep González Bjorn Poonen
+	A finiteness property of torsion points	2005	Matthew Baker Su-Ion Ih Robert Rumely
+	Canonical heights, transfinite diameters, and polynomial dynamics	2005	Matthew Baker Liang-Chung Hsia
+	None	2005	Matthew Baker Clayton Petsche
+	Global discrepancy and small points on elliptic curves	2005	Matthew Baker Clayton Petsche
+	A lower bound for average values of dynamical Green's functions	2005	Matthew Baker
+	Metrized graphs, electrical networks, and Fourier analysis	2004	Matthew Baker Xander Faber
+	Analysis and dynamics on the Berkovich projective line	2004	Robert Rumely Matthew Baker
+ PDF Chat	A lower bound for the canonical height on abelian varieties over abelian extensions	2004	Matthew Baker Joseph H. Silverman
+	Equidistribution of small subvarieties of an abelian variety	2004	Matthew Baker Su-Ion Ih
+	Harmonic analysis on metrized graphs	2004	Matthew Baker Robert Rumely
+	Equidistribution of small points, rational dynamics, and potential theory	2004	Matthew Baker Robert Rumely
+	Automorphisms of X0∗(p)	2003	Matthew Baker Yuji Hasegawa
+	None	2003	Matthew Baker
+ PDF Chat	Galois theory and torsion points on curves	2003	Matthew Baker Kenneth A. Ribet
+	A Lower Bound for the Canonical Height on Abelian Varieties over Abelian Extensions	2003	Matthew Baker Joseph H. Silverman
+	Canonical Heights, Transfinite Diameters, and Polynomial Dynamics	2003	Matthew Baker Liang-Chung Hsia
+	Automorphisms of $X_0^*(p)$	2002	Matthew Baker Yuji Hasegawa
+	Finiteness results for modular curves of genus at least 2	2002	Matthew Baker Enrique González–Jiménez Josep González Bjorn Poonen
+	Lower bounds for the canonical height on elliptic curves over abelian extensions	2002	Matthew Baker
+	Galois theory and torsion points on curves	2002	Matthew Baker Kenneth A. Ribet
+	Automorphisms of $X_0^*(p)$	2002	Matthew Baker Yuji Hasegawa
+ PDF Chat	None	2001	Matthew Baker Bjorn Poonen
+	Torsion points on modular curves	2000	Matthew Baker
+	None	2000	Matthew Baker
+	Kamienny’s criterion and the method of Coleman and Chabauty	1999	Matthew Baker

Common Coauthors

Coauthor	Papers Together
Robert Rumely	12
Oliver Lorscheid	11
Joseph Rabinoff	9
Omid Amini	9
Xander Faber	6
Erwan Brugallé	5
Kenneth A. Ribet	4
Sam Payne	4
Serguei Norine	3
Yuji Hasegawa	3
Nathan Bowler	3
Su-Ion Ih	3
Bjorn Poonen	3
Tianyi Zhang	3
Laura DeMarco	2
Farbod Shokrieh	2
Johannes Nicaise	2
Yao Wang	2
Josep González	2
Barry Mazur	2
Clayton Petsche	2
Joseph H. Silverman	2
Enrique González–Jiménez	2
Tong Jin	1
Brian Conrad	1
Liang-Chung Hsia	1
Zach Walsh	1
Eric Tang	1
Haran Mouli	1
Jeremy Teitelbaum	1
Samit Dasgupta	1
Greg Kuperberg	1
Kiran S. Kedlaya	1
Chi Ho Yuen	1
Bhumika Mittal	1
Joseph Rabino	1
Yoav Len	1
David Jensen	1
Qingchun Ren	1
Changxin Ding	1
Spencer Backman	1
Ralph Morrison	1
Liang-Chung Hsia	1
Nathan Pflueger	1
Zhuang Xu	1
Tianyi Zhang	1
Yang An	1
Jin Tong	1
Laura De Marco	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Spectral Theory and Analytic Geometry over Non-Archimedean Fields	2012	Vladimir G. Berkovich	20
+	Admissible pairing on a curve	1993	Shou-Wu Zhang	14
+ PDF Chat	Tropical curves, their Jacobians and theta functions	2008	Grigory Mikhalkin Ilia Zharkov	11
+ PDF Chat	Specialization of linear systems from curves to graphs	2008	Matthew Baker	11
+	Riemann–Roch and Abel–Jacobi theory on a finite graph	2007	Matthew Baker Serguei Norine	11
+	Potential Theory and Dynamics on the Berkovich Projective Line	2010	Matthew Baker Robert Rumely	10
+	Théorie du potentiel sur les courbes en géométrie analytique non archimédienne. Applications à la théorie d'Arakelov	2005	Amaury Thuillier	10
+	Equidistribution of Small Points on Abelian Varieties	1998	Shou-Wu Zhang	9
+ PDF Chat	Hyperelliptic modular curves	1974	A. P. Ogg	9
+	Limit distribution of small points on algebraic tori	1997	Yuri Bilu	9
+ PDF Chat	A Riemann–Roch theorem in tropical geometry	2007	Andreas Gathmann Michael Kerber	9
+	Matroids over partial hyperstructures	2018	Matthew Baker Nathan Bowler	8
+	Algebraic Potential Theory on Graphs	1997	Norman Biggs	8
+	Stable reduction and uniformization of abelian varieties I	1985	Siegfried Bosch Werner L�tkebohmert	8
+	Advanced Topics in the Arithmetic of Elliptic Curves	1994	Joseph H. Silverman	8
+ PDF Chat	Étale cohomology for non-Archimedean analytic spaces	1993	Vladimir G. Berkovich	8
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	8
+	The Valuative Tree	2004	Charles Favre Mattias Jönsson	8
+ PDF Chat	Geometry of Algebraic Curves	1985	Enrico Arbarello Maurizio Cornalba P. A. Griffiths Joseph Harris	8
+ PDF Chat	The irreducibility of the space of curves of given genus	1969	Pierre Deligne D. Mumford	8
+	Reduction, Dynamics, and Julia Sets of Rational Functions	2001	Robert L. Benedetto	7
+	Reduced divisors and embeddings of tropical curves	2013	Omid Amini	7
+	Equirépartition des petits points	1997	Lucien Szpiro Emmanuel Ullmo Shaoqing Zhang	7
+ PDF Chat	Tropical hyperelliptic curves	2012	Melody Chan	7
+ PDF Chat	Smooth p-adic analytic spaces are locally contractible	1999	Vladimir G. Berkovich	7
+ PDF Chat	Capacity Theory on Algebraic Curves	1989	Robert Rumely	7
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	7
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	7
+	Chip-firing games, potential theory on graphs, and spanning trees	2012	Matthew Baker Farbod Shokrieh	7
+ PDF Chat	Equidistribution of Small Points, Rational Dynamics, and Potential Theory	2006	Matthew Baker Robert Rumely	7
+ PDF Chat	The lattice of integral flows and the lattice of integral cuts on a finite graph	1997	Roland Bacher Pierre de la Harpe Tatiana Nagnibeda	7
+ PDF Chat	Metric properties of the tropical Abel–Jacobi map	2010	Matthew Baker Xander Faber	7
+ PDF Chat	Mordell-Lang plus Bogomolov	1999	Bjorn Poonen	6
+	Rank of divisors on tropical curves	2013	Jan Hladký Daniel Kráľ Serguei Norine	6
+ PDF Chat	Harmonic Analysis on Metrized Graphs	2007	M. J. C. Baker Robert Rumely	6
+	Riemann–Roch theory for weighted graphs and tropical curves	2013	Omid Amini Lucia Caporaso	6
+ PDF Chat	A homotopy theorem for matroids. I	1958	W. T. Tutte	6
+	On basic concepts of tropical geometry	2011	Oleg Viro	6
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	6
+	Non-Archimedean Analysis	1984	Siegfried Bosch Ulrich Güntzer Reinhold Remmert	6
+	Sur le nombre de points de torsion rationnels sur une courbe elliptique	1999	Marc Hindry Joseph H. Silverman	6
+ PDF Chat	Rank-determining sets of metric graphs	2011	Ye Luo	6
+ PDF Chat	A discrete analogue of the harmonic morphism and green kernel comparison theorems	2000	Hajime Urakawa	6
+	Canonical heights, transfinite diameters, and polynomial dynamics	2005	Matthew Baker Liang-Chung Hsia	6
+ PDF Chat	Irreducible components of rigid spaces	1999	Brian Conrad	6
+	Tropical Geometry and its applications	2006	Grigory Mikhalkin	6
+	Vectors of matroids over tracts	2018	Laura Anderson	6
+	The hyperring of adèle classes	2010	Alain Connes Caterina Consani	5
+	Partial Fields and Matroid Representation	1996	Charles Semple Geoff Whittle	5
+	Introduction to tropical geometry	2008	Diane Maclagan Bernd Sturmfels	5