Matthew Baker
Geometry and Topology · 2002–2017
A researcher in the Science corpus: 23 papers; trusts 69 researchers and is trusted by 38 researchers here, as inferred from the citation graph.
Subfields
- Geometry and Topology — 180 citations into it; #364 of 7,422 by trust here, #227 by citations
- Computational Theory and Mathematics — 131 citations into it; #903 of 12,182 by trust here, #761 by citations
- Algebra and Number Theory — 84 citations into it; #262 of 2,864 by trust here, #362 by citations
- Mathematical Physics — 78 citations into it; #1,052 of 8,562 by trust here, #482 by citations
- Applied Mathematics — 22 citations into it; #1,377 of 7,620 by trust here, #1,828 by citations
- Statistical and Nonlinear Physics — 12 citations into it; #5,471 of 10,127 by trust here, #4,137 by citations
- Discrete Mathematics and Combinatorics — 11 citations into it; #1,706 of 2,017 by trust here, #1,552 by citations
- Artificial Intelligence — 5 citations into it
Whom Matthew Baker trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- G. Mikhalkin
- C. Favre
- Joseph Rabinoff
- Lucia Caporaso
- Robert L. Benedetto
- J. Rivera-Letelier
- Sergey Norin
- Omid Amini
- Sam Payne
- Qing Liu
Who trusts Matthew Baker overall
- David Jensen
- Omid Amini
- Laura Demarco
- Lucia Caporaso
- Sam Payne
- Mattias Jonsson
- Melody Chan
- Robert L. Benedetto
- Joseph Rabinoff
- Zubeyir Cinkir
Papers from Matthew Baker's perspective
Ordered by how strongly the researchers Matthew Baker trusts endorse each paper. Same corpus, a different order for every researcher.
- Homological mirror symmetry and torus fibrations
- Tropical Geometry and its applications
- Harmonic morphisms and hyperelliptic graphs
- Independence of rational points on twists of a given curve (Compositio Mathematica)
- A tropical proof of the Brill-Noether Theorem
- The Valuative Tree
- A Riemann–Roch theorem in tropical geometry
- On the existence of branched coverings between surfaces with prescribed branch data, I
- Thue equations and the method of Chabauty-Coleman
- Specialization of linear systems from curves to graphs
Their papers
- Nonarchimedean geometry, tropicalization, and metrics on curves (2011) — 191 citations
- Harmonic morphisms and hyperelliptic graphs (2007) — 192 citations
- Potential Theory and Dynamics on the Berkovich Projective Line (2010) — 340 citations
- Specialization of linear systems from curves to graphs (2007) — 269 citations
- Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (2013) — 120 citations
- Linear series on metrized complexes of algebraic curves (2012) — 84 citations
- Harmonic Analysis on Metrized Graphs (2004) — 87 citations
- CANONICAL REPRESENTATIVES FOR DIVISOR CLASSES ON TROPICAL CURVES AND THE MATRIX–TREE THEOREM (2013) — 91 citations
- Degeneration of Linear Series from the Tropical Point of View and Applications (2015) — 75 citations
- Matroids over partial hyperstructures (2017) — 109 citations
- Matroids over hyperfields (2016) — 53 citations
- Lifting harmonic morphisms II: tropical curves and metrized complexes (2014) — 76 citations
- On the structure of nonarchimedean analytic curves (2014) — 61 citations
- On the structure of non-archimedean analytic curves (2013) — 85 citations
- The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves (2013) — 77 citations
- SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS (2012) — 79 citations
- Preperiodic points and unlikely intersections (2009) — 123 citations
- Metric properties of the tropical Abel–Jacobi map (2009) — 90 citations
- A finiteness theorem for canonical heights attached to rational maps over function fields (2006) — 97 citations
- Riemann–Roch and Abel–Jacobi theory on a finite graph (2006) — 512 citations