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Research

Publications: PROF Alexander Fink

Fink A ( 2025 ) . (Delta-)matroid Polytopes and Valuative Invariants . MATRIX Book Series , Springer Nature Switzerland
Dong F, Fink A, Li T, McKay B, Morgan K, Royle G, Vena L, Zhang M ( 2025 ) . Chromatically Equivalent Chordal Graphs . MATRIX Book Series , Springer Nature Switzerland
Ferroni L, Fink A ( 2025 ) . The polytope of all matroids .
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 . Proceedings of the London Mathematical Society vol. 128 , ( 3 ) Article e12592 ,
Escobar L, Fink A, Rajchgot J, Woo A ( 2024 ) . Gröbner bases, symmetric matrices, and type C Kazhdan–Lusztig varieties . Journal of the London Mathematical Society vol. 109 , ( 2 ) Article e12856 ,
Fink A, Olarte JA ( 2023 ) . Extensions of transversal valuated matroids .
Eur C, Fink A, Larson M, Spink H ( 2022 ) . Signed permutohedra, delta-matroids, and beyond .
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 .
Cameron A, Fink A ( 2022 ) . The Tutte polynomial via lattice point counting . Journal of Combinatorial Theory, Series A vol. 188 , Article 105584 , 105584 - 105584 .
Fink A, Olarte JA ( 2022 ) . Presentations of transversal valuated matroids . Journal of the London Mathematical Society vol. 105 , ( 1 ) 24 - 62 .
Elizondo EJ, Fink A, López CG ( 2021 ) . Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology class .
Elizondo EJ, Fink A, López CG ( 2021 ) . Matroids and the space of torus-invariant subvarieties of the\n Grassmannian with given homology class . Journal of Pure and Applied Algebra, 2025
Berget A, Fink A ( 2021 ) . Equivariant <i>K</i>-Theory Classes of Matrix Orbit Closures . International Mathematics Research Notices vol. 2022 , ( 18 ) 14105 - 14133 .
BERGET A, FINK A ( 2021 ) . Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES . Transformation Groups vol. 26 , ( 3 ) 1145 - 1146 .
Escobar L, Fink A, Rajchgot J, Woo A ( 2021 ) . Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig\n varieties .
Fink A, Mészáros K, Dizier AS ( 2020 ) . Zero-one Schubert polynomials . Mathematische Zeitschrift vol. 297 , ( 3-4 ) 1023 - 1042 .
Cameron A, Fink A . A lattice point counting generalisation of the Tutte polynomial . Discrete Mathematics &amp; Theoretical Computer Science . vol. DMTCS Proceedings, 28th... ,
Fink A, Toghani Z ( 2020 ) . Initial forms and a notion of basis for tropical differential equations .
Fink A, Speyer DE, Woo A ( 2020 ) . A Gröbner basis for the graph of the reciprocal plane . Journal of Commutative Algebra vol. 12 , ( 1 )
Berget A, Fink A ( 2019 ) . Equivariant K-theory classes of matrix orbit closures .
Fink A, Mészáros K, Dizier AS ( 2019 ) . Zero-one Schubert polynomials .
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 , 448 - 494 .
Fink A, Moci L ( 2019 ) . Polyhedra and parameter spaces for matroids over valuation rings . Advances in Mathematics vol. 343 , 448 - 494 .
Ardila F, Fink A, Rincón F ( 2018 ) . Valuations for Matroid Polytope Subdivisions . Canadian Journal of Mathematics vol. 62 , ( 6 ) 1228 - 1245 .
Fink A, Mészáros K, St. Dizier A ( 2018 ) . Schubert polynomials as integer point transforms of generalized permutahedra . Advances in Mathematics vol. 332 , 465 - 475 .
Berget A, Fink A ( 2018 ) . Matrix orbit closures . Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry vol. 59 , ( 3 ) 397 - 430 .
Cameron A, Fink A ( 2018 ) . The Tutte polynomial via lattice point counting .
Dupont C, Fink A, Moci L ( 2018 ) . Universal Tutte characters via combinatorial coalgebras . Algebraic Combinatorics vol. 1 , ( 5 ) 603 - 651 .
Fink A, Guy R ( 2017 ) . The Number-Pad Game . The College Mathematics Journal vol. 38 , ( 4 ) 260 - 264 .
Dupont C, Fink A, Moci L ( 2017 ) . Universal Tutte characters via combinatorial coalgebras .
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\n permutahedra .
Fink A, Speyer DE, Woo A ( 2017 ) . A Gröbner basis for the graph of the reciprocal plane .
Fink A, Guy RK ( 2017 ) . THE OUTERCOARSENESS OF THE <i>n</i>-CUBE . CONTRIBUTIONS TO DISCRETE MATHEMATICS vol. 12 , ( 2 ) 22 - 32 .
BERGET A, FINK A ( 2016 ) . EQUIVARIANT CHOW CLASSES OF MATRIX ORBIT CLOSURES . Transformation Groups vol. 22 , ( 3 ) 631 - 643 .
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, Rajchgot J, Sullivant S ( 2016 ) . Matrix Schubert varieties and Gaussian conditional independence models . JOURNAL OF ALGEBRAIC COMBINATORICS vol. 44 , ( 4 ) 1009 - 1046 .
Fink A, Rajchgot J, Sullivant S ( 2015 ) . Matrix Schubert varieties and Gaussian conditional independence models .
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, Moci L ( 2015 ) . Matroids Over a Ring . Springer INdAM Series , Springer International Publishing
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, Rincón F ( 2013 ) . Stiefel tropical linear spaces .
Fink A, Fraenkel AS, Santos C ( 2013 ) . LIM is not slim . International Journal of Game Theory vol. 43 , ( 2 ) 269 - 281 .
Fink A, Fraenkel AS, Santos C ( 2013 ) . LIM is not slim . International Journal of Game Theory1 - 13 .
Berget A, Fink A ( 2012 ) . Projective invariants of vector configurations . Discrete Mathematics and Theoretical Computer Science284 - 296 .
Fink A, Speyer DE ( 2012 ) . K-classes for matroids and equivariant localization . Duke Mathematical Journal vol. 161 , ( 14 )
Fink A, Moci L ( 2012 ) . Matroids over a ring .
Fink A ( 2012 ) . Tropical cycles and Chow polytopes . Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry vol. 54 , ( 1 ) 13 - 40 .
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 &amp; Theoretical Computer Science vol. DMTCS Proceedings vol. AR,... , ( Proceedings ) Article 3039 ,
Fink A ( 2011 ) . Lattice games without rational strategies .
Fink A, Speyer D ( 2011 ) . K-classes for matroids and equivariant localization . Discrete Mathematics &amp; Theoretical Computer Science vol. DMTCS Proceedings vol. AO,... , ( Proceedings ) Article 2915 ,
Derksen H, Fink A ( 2010 ) . Valuative invariants for polymatroids . Advances in Mathematics vol. 225 , ( 4 ) 1840 - 1892 .
Fink A ( 2010 ) . 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 .
Fink A, Speyer DE ( 2010 ) . K-classes of matroids and equivariant localization .
Fink A ( 2010 ) . Tropical cycles and Chow polytopes .
Derksen H, Fink A . Valuative invariants for polymatroids . Discrete Mathematics &amp; Theoretical Computer Science . vol. DMTCS Proceedings vol. AN,... ,
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 .
Derksen H, Fink A ( 2009 ) . Valuative invariants for polymatroids .
Ensley D ( 2009 ) . Interactive Supplements to Rick's Tricky Six Puzzle .
Fink A ( 2009 ) . The binomial ideal of the intersection axiom for conditional\n probabilities .
Kisman D, Guy R, Fink A ( 2009 ) . Patulous pegboard polygons . Mathematical Wizardry for A Gardner ,
Fink A, Giraldo BI ( 2008 ) . A bijection between noncrossing and nonnesting partitions for classical\n reflection groups .
Ardila F, Fink A, Rincón F ( 2007 ) . Valuations for matroid polytope subdivisions .
Fink A, Denzinger J, Aycock J ( 2007 ) . Extracting NPC behavior from computer games using computer vision and machine learning techniques . 2007 IEEE Symposium on Computational Intelligence and Games . Conference: 2007 IEEE Symposium on Computational Intelligence and Games from: 01/04/2007 to: 05/04/2007 , 24 - 31 .