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Research

Publications: PROF Alex Fink

Ferroni L, Fink A ( 2025 ) . The polytope of all matroids . Selecta Mathematica (New Series) vol. 31 , Article 109 ,
Fink A, Shaw K, Speyer D ( 2025 ) . The omega invariant of a matroid . International Mathematics Research Notices
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J ( 2025 ) . Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal . Research in the Mathematical Sciences Article RMSB-D-24-00199R2 ,
Fink A, Olarte JA ( 2025 ) . Extensions of transversal valuated matroids . European Journal of Combinatorics vol. 127 , Article 104153 ,
Elizondo EJ, Fink A, Garay López C ( 2025 ) . Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class . Journal of Pure and Applied Algebra vol. 229 , ( 6 ) Article 107930 ,
Fink A, Olarte JA ( 2025 ) . Extensions of transversal valuated matroids .
Elizondo EJ, Fink A, López CG ( 2025 ) . Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class .
Berget A, Fink A ( 2024 ) . The external activity complex of a pair of matroids .
Fink A, Shaw K, Speyer DE ( 2024 ) . The omega invariant of a matroid .
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J ( 2024 ) . Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal .
Eur C, Fink A, Larson M, Spink H ( 2024 ) . Signed permutohedra, delta-matroids, and beyond .
Fink A, Escobar L, Rajchgot J, Woo A ( 2024 ) . Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties . Journal of the London Mathematical Society
Fink A, Toghani Z ( 2022 ) . INITIAL FORMS AND A NOTION OF BASIS FOR TROPICAL DIFFERENTIAL EQUATIONS . Pacific Journal of Mathematics vol. 318 , ( 2 ) 453 - 468 .
Escobar L, Fink A, Rajchgot J, Woo A ( 2022 ) . Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties .
Fink A, Olarte J ( 2022 ) . Presentations of Transversal Valuated Matroids . Journal of the London Mathematical Society
Fink A, CAMERON A ( 2022 ) . The Tutte polynomial via lattice point counting . Journal of Combinatorial Theory: Series A
Berget A, Fink A ( 2021 ) . Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES (Transformation Groups, (2017), 22, 3, (631-643), 10.1007/s00031-016-9406-5) . Transformation Groups
Fink A, Mészáros K, Dizier AS ( 2020 ) . Zero-one Schubert polynomials .
Fink A, Mészáros K, St. Dizier A ( 2020 ) . Zero-one Schubert polynomials . Mathematische Zeitschrift vol. 297 , ( 3 ) 1023 - 1042 .
Fink A, Toghani Z ( 2020 ) . Initial forms and a notion of basis for tropical differential equations .
Berget A, Fink A ( 2019 ) . Equivariant K-theory classes of matrix orbit closures .
Fink A, Olarte JA ( 2019 ) . Presentations of Transversal Valuated Matroids .
FINK A, Moci L ( 2019 ) . Polyhedra and parameter spaces for matroids over valuation rings . Advances in Mathematics vol. 343 , Article 01026 , 448 - 494 .
Fink A, Moci L ( 2019 ) . Polyhedra and parameter spaces for matroids over valuation rings . Advances in Mathematics vol. 343 , 448 - 494 .
Dupont C, FINK A, Moci L ( 2018 ) . Universal Tutte characters via combinatorial coalgebras . Journal of Algebraic Combinatorics
Ardila F, Fink A, Rincón F ( 2018 ) . Valuations for Matroid Polytope Subdivisions . Canadian Journal of Mathematics vol. 62 , ( 6 ) 1228 - 1245 .
Cameron A, Fink A ( 2018 ) . The Tutte polynomial via lattice point counting .
FINK A, GUY RK ( 2017 ) . The outercoarseness of the n-cube . Contributions to Discrete Mathematics
Fink A, Guy R ( 2017 ) . The Number-Pad Game . College Mathematics Journal vol. 38 , ( 4 ) 260 - 264 .
Dupont C, Fink A, Moci L ( 2017 ) . Universal Tutte characters via combinatorial coalgebras .
FINK A, Speyer DE, Woo A ( 2017 ) . A Gröbner basis for the graph of the reciprocal plane . Journal of Commutative Algebra
Fink A, Moci L ( 2017 ) . Polyhedra and parameter spaces for matroids over valuation rings .
Fink A, Mészáros K, Dizier AS ( 2017 ) . Schubert polynomials as integer point transforms of generalized permutahedra .
Fink A, Speyer DE, Woo A ( 2017 ) . A Gröbner basis for the graph of the reciprocal plane .
Fink A, Rajchgot J, Sullivant S ( 2016 ) . Matrix Schubert varieties and Gaussian conditional independence models .
BERGET A, FINK A ( 2016 ) . Equivariant chow classes of matrix orbit closures . Transformation Groups1 - 13 .
Fink A, Rajchgot J, Sullivant S ( 2016 ) . Matrix Schubert varieties and Gaussian conditional independence models . Journal of Algebraic Combinatorics vol. 44 , ( 4 ) 1009 - 1046 .
Cameron A, Fink A ( 2016 ) . A lattice point counting generalisation of the Tutte polynomial .
Fink A, Moci L ( 2016 ) . Matroids over a ring . Journal of the European Mathematical Society vol. 18 , ( 4 ) 681 - 731 .
Fink A, Rincón F ( 2015 ) . Stiefel tropical linear spaces . Journal of Combinatorial Theory Series A vol. 135 , 291 - 331 .
Berget A, Fink A ( 2015 ) . Equivariant Chow classes of matrix orbit closures .
Fink A, Rincón F ( 2015 ) . Stiefel tropical linear spaces .
Fink A, Moci L ( 2015 ) . Matroids Over a Ring . Combinatorial Methods in Topology and Algebra , vol. 12 , Springer Nature
Fink A, Fraenkel AS, Santos C ( 2014 ) . LIM is not slim . International Journal of Game Theory vol. 43 , ( 2 ) 269 - 281 .
Fink A, Moci L ( 2013 ) . Matroids over a ring . Discrete Mathematics and Theoretical Computer Science157 - 168 .
Berget A, Fink A ( 2013 ) . Matrix orbit closures .
Fink A, Fraenkel AS, Santos C ( 2013 ) . LIM is not slim . International Journal of Game Theory1 - 13 .
Fink A ( 2013 ) . Tropical cycles and Chow polytopes . Beitrage zur Algebra und Geometrie vol. 54 , ( 1 ) 13 - 40 .
Berget A, Fink A ( 2012 ) . Projective invariants of vector configurations . Discrete Mathematics and Theoretical Computer Science284 - 296 .
Fink A, Moci L ( 2012 ) . Matroids over a ring .
Fink A ( 2012 ) . Lattice games without rational strategies . Journal of Combinatorial Theory Series A vol. 119 , ( 2 ) 450 - 459 .
Berget A, Fink A ( 2012 ) . Invariants of vector configurations . Discrete Mathematics & Theoretical Computer Science vol. DMTCS Proceedings vo , ( Proceedings )
Fink A, Speyer DE ( 2012 ) . K-classes for matroids and equivariant localization . Duke Mathematical Journal vol. 161 , ( 14 ) 2699 - 2723 .
Fink A, Speyer D ( 2011 ) . K-classes for matroids and equivariant localization . Fpsac 11 23rd International Conference on Formal Power Series and Algebraic Combinatorics339 - 350 .
Fink A ( 2011 ) . Lattice games without rational strategies .
Fink A ( 2011 ) . The binomial ideal of the intersection axiom for conditional probabilities . Journal of Algebraic Combinatorics vol. 33 , ( 3 ) 455 - 463 .
Fink A, Giraldo BI ( 2010 ) . Bijections between noncrossing and nonnesting partitions for classical reflection groups . Portugaliae Mathematica vol. 67 , ( 3 ) 369 - 401 .
Derksen H, Fink A ( 2010 ) . Valuative invariants for polymatroids .
Fink A, Speyer DE ( 2010 ) . K-classes of matroids and equivariant localization .
Fink A ( 2010 ) . Tropical cycles and Chow polytopes .
FINK A ( 2010 ) . Valuative invariants for polymatroids . Adv. Math. vol. 225 , ( 4 ) 1840 - 1892 .
Fink A, Giraldo BI ( 2009 ) . Bijections between noncrossing and nonnesting partitions for classical reflection groups . Fpsac 09 21st International Conference on Formal Power Series and Algebraic Combinatorics . 397 - 410 .
Ensley D, Fink A, Guy R ( 2009 ) . Interactive supplements to Rick's Tricky six puzzle . Loci vol. 1 ,
Fink A ( 2009 ) . The binomial ideal of the intersection axiom for conditional probabilities .
Kisman D, Guy R, Fink A ( 2009 ) . Patulous pegboard polygons . Mathematical Wizardry for A Gardner ,
Ardila F, Fink A, Rincón F ( 2008 ) . Valuations for matroid polytope subdivisions .
Fink A, Giraldo BI ( 2008 ) . A bijection between noncrossing and nonnesting partitions for classical reflection groups .
Fink A, Denzinger J, Aycock J ( 2007 ) . Extracting NPC Behavior from Computer Games using Computer Vision and Machine Learning Techniques . Conference: 2007 IEEE Symposium on Computational Intelligence and Games24 - 31 .
Fink A . (Delta-)matroid polytopes and valuative invariants . 2023 MATRIX Annals , Springer Nature Switzerland AG
Cameron A, Fink A . A lattice point counting generalisation of the Tutte polynomial . Conference: Formal Power Series and Algebraic Combinatorics 2016
Dong F, Fink A, Li T, McKay B, Morgan K, Royle G, Vena L, Zhang M . Chromatically Equivalent Chordal Graphs . 2023 MATRIX Annals , Springer Nature Switzerland AG
Fink A, Berget A . Equivariant K-theory classes of matrix orbit closures . International Mathematics Research Notices
FINK A, Berget A . Matrix Orbit Closures . Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
FINK A, Mészáros K, St Dizier A . Schubert polynomials as integer point transforms of generalized permutahedra . Advances in Mathematics
Eur C, Fink A, Larson M, Spink H . Signed permutohedra, delta-matroids, and beyond . Proceedings of the London Mathematical Society