Dr Felipe Rincón
Reader in Algebra
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
Combinatorics, Matroid theory, Tropical geometry, Algebraic geometry
Interests
I am interested in combinatorial aspects of geometric and algebraic objects, with a particular focus on connections between matroid theory and tropical geometry.Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2025
The Ehrhart polynomial of a matroid specializes to the beta invariantChavez A Dorpalen-Barry G Ferroni L Liu F Rincón F Vindas-Meléndez ASR
In Arxiv
23-10-2025
Moments, sums of squares, and tropicalizationBlekherman G Rincón F Sinn R Vinzant C Yu J
Journal of The London Mathematical Society, Wiley vol. 112 (4)
01-10-2025
Moments, Sums of Squares, and TropicalizationBlekherman G Rincón F Sinn R Vinzant C Yu J
In Arxiv
01-09-2025
Tropicalizing Principal Minors of Positive Definite MatricesAhmadieh AA Rincón F Vinzant C Yu J
In Arxiv
29-08-2025
2024
Log-concavity for independent sets of valuated matroidsGiansiracusa J Rincón F Schleis V Ulirsch M
In Arxiv
08-07-2024
2023
Chern Classes of Tropical Manifoldsde Medrano LL Rincón F Shaw K
In Arxiv
31-08-2023
Tropical CombinatoricsRincón F Tran NM Yu J
Notices of The American Mathematical Society, American Mathematical Society (Ams) vol. 70 (01), 1-1.
01-01-2023
2022
Varieties of tropical ideals are balancedMaclagan D Rincón F
Advances in Mathematics, Elsevier vol. 410, 108713-108713.
01-12-2022
Moduli Spaces of Codimension-One Subspaces in a Linear Variety and their TropicalizationJell P Markwig H Rincón F
The Electronic Journal of Combinatorics, The Electronic Journal of Combinatorics vol. 29 (2)
20-05-2022
Paving tropical idealsAnderson N
Journal of Algebraic Combinatorics
01-01-2022
2021
Tropical ideals do not realise all Bergman fansDraisma J
Research in The Mathematical Sciences vol. 8 (3), 44-44.
28-06-2021
Positively hyperbolic varieties, tropicalization, and positroidsRincón F Yu J
Advances in Mathematics vol. 383
04-06-2021
2019
Tropical schemes, tropical cycles, and valuated matroidsRincon F Maclagan D
Journal of The European Mathematical Society, European Mathematical Society
20-11-2019
Chern-Schwartz-MacPherson cycles of matroidsRincón F Shaw K
Proceedings of The London Mathematical Society, London Mathematical Society
02-08-2019
2018
Compressed sensing of data with a known distributionDiaz M Junca M Rincon F
Applied and Computational Harmonic Analysis vol. 45 (3), 486-504.
01-11-2018
Tropical idealsMaclagan D
Compositio Mathematica vol. 154 (3), 640-670.
01-03-2018
2017
Positively oriented matroids are realizableArdila F Rincon F Williams L
Journal of The European Mathematical Society vol. 19 (3), 815-833.
01-01-2017
2015
Stiefel tropical linear spacesFink A Rincón F
Journal of Combinatorial Theory Series A, Elsevier vol. 135, 291-331.
01-10-2015
Positroids and non-crossing partitionsArdila F Rincón F
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 368 (1), 337-363.
29-05-2015
2013
Local Tropical Linear SpacesRincón F
Discrete & Computational Geometry, Springer Nature vol. 50 (3), 700-713.
19-06-2013
Computing tropical linear spacesRincón F
Journal of Symbolic Computation, Elsevier vol. 51, 86-98.
01-04-2013
2012
Isotropical linear spaces and valuated Delta-matroidsRincón F
Journal of Combinatorial Theory Series A, Elsevier vol. 119 (1), 14-32.
01-01-2012
2010
Valuations for Matroid Polytope SubdivisionsArdila F Fink A Rincón F
Canadian Journal of Mathematics, Canadian Mathematical Society vol. 62 (6), 1228-1245.
14-12-2010
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryMatroids in tropical geometryFelipe Rincón
£210,270 EPSRC Engineering and Physical Sciences Research Council
01-03-2021 - 30-04-2023
Research Group
PhD Students
- Benjamain Dobres
Ideals of Matrix Orbits Under The Two-Sided Multiplication Action of B×T - Samuel-Louis Gardiner
Tropical Vector Bundles - Xiaoan Yang
Topology of Logarithmic Mapping Spaces
News
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