Prof Alex Fink
Professor in Pure Mathematics
Head of The Centre for Combinatorics, Algebra and Number Theory
School of Mathematical Sciences
Queen Mary University of London
Queen Mary University of London
Research
matroids, tropical geometry, algebraic combinatorics, algebraic geometry
Interests
My research sits between combinatorics and algebra, particularly algebraic geometry and commutative algebra. Some of my current research projects involve algebro-geometric incarnations of matroid invariants, aligned with the matroid Hodge theory programme; geometric tropicalisation for divisorial arrangements; a uniform perspective on tropical equations for Coxeter matroids for minuscule parabolics; and ladder determinantal ideals.Publications
Publications of specific relevance to the Centre for Combinatorics, Algebra and Number Theory2024
Signed permutohedra, delta‐matroids, and beyondEur C, Fink A, Larson M and Spink H
Proceedings of The London Mathematical Society, Wiley vol. 128 (3)
01-03-2024
Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varietiesFink A, Escobar L, Rajchgot J and Woo A
Journal of The London Mathematical Society, Wiley
01-02-2024
2022
INITIAL FORMS AND A NOTION OF BASIS FOR TROPICAL DIFFERENTIAL EQUATIONSFink A and Toghani Z
Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 318 (2), 453-468.
20-08-2022
Presentations of Transversal Valuated MatroidsFink A and Olarte J
Journal of The London Mathematical Society, London Mathematical Society
29-01-2022
The Tutte polynomial via lattice point countingFink A and CAMERON A
Journal of Combinatorial Theory: Series A, Elsevier
17-01-2022
2021
Equivariant K-Theory Classes of Matrix Orbit ClosuresBerget A and Fink A
International Mathematics Research Notices, Oxford University Press (Oup) vol. 2022 (18), 14105-14133.
02-06-2021
Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES (Transformation Groups, (2017), 22, 3, (631-643), 10.1007/s00031-016-9406-5)Berget A and Fink A
Transformation Groups
21-04-2021
2020
Zero-one Schubert polynomialsFink A, Mészáros K and St. Dizier A
Mathematische Zeitschrift, Springer (Part of Springer Nature) vol. 297 (3), 1023-1042.
10-06-2020
A lattice point counting generalisation of the Tutte polynomialCameron A and Fink A
Discrete Mathematics & Theoretical Computer Science. vol. DMTCS Proceedings, 2
22-04-2020
2019
Polyhedra and parameter spaces for matroids over valuation ringsFINK A and Moci L
Advances in Mathematics, Elsevier vol. 343, 448-494.
05-02-2019
Polyhedra and parameter spaces for matroids over valuation ringsFink A and Moci L
Advances in Mathematics, Elsevier vol. 343, 448-494.
01-02-2019
2018
Universal Tutte characters via combinatorial coalgebrasDupont C, FINK A and Moci L
Journal of Algebraic Combinatorics, Springer Verlag
30-11-2018
Schubert polynomials as integer point transforms of generalized permutahedraFink A, Mészáros K and St. Dizier A
Advances in Mathematics, Elsevier vol. 332, 465-475.
01-07-2018
Matrix orbit closuresBerget A and Fink A
BeiträGe Zur Algebra Und Geometrie / Contributions to Algebra and Geometry, Springer Nature vol. 59 (3), 397-430.
25-05-2018
2017
The outercoarseness of the n-cubeFINK A and GUY RK
Contributions to Discrete Mathematics, University of Calgary
01-12-2017
A Gröbner basis for the graph of the reciprocal planeFINK A, Speyer DE and Woo A
Journal of Commutative Algebra, Rocky Mountain Mathematics Consortium
02-08-2017
2016
Equivariant chow classes of matrix orbit closuresBERGET A and FINK A
Transformation Groups, Springer Verlag (Germany), 1-13.
19-07-2016
Matrix Schubert varieties and Gaussian conditional independence modelsFink A, Rajchgot J and Sullivant S
Journal of Algebraic Combinatorics, Springer Science and Business Media Llc vol. 44 (4), 1009-1046.
15-07-2016
Matroids over a ringFink A and Moci L
Journal of The European Mathematical Society, European Mathematical Society - Ems - Publishing House vol. 18 (4), 681-731.
08-03-2016
2015
Stiefel tropical linear spacesFink A and Rincón F
Journal of Combinatorial Theory Series A, Elsevier vol. 135, 291-331.
01-10-2015
Matroids Over a RingFink A and Moci L
In Combinatorial Methods in Topology and Algebra, Springer Nature 41-47.
01-01-2015
2014
LIM is not slimFink A, Fraenkel AS and Santos C
International Journal of Game Theory vol. 43 (2), 269-281.
01-01-2014
2013
Matroids over a ringFink A and Moci L
Discrete Mathematics and Theoretical Computer Science, 157-168.
18-11-2013
LIM is not slimFink A, Fraenkel AS and Santos C
International Journal of Game Theory, 1-13.
01-01-2013
Tropical cycles and Chow polytopesFink A
Beitrage Zur Algebra Und Geometrie vol. 54 (1), 13-40.
01-01-2013
2012
Projective invariants of vector configurationsBerget A and Fink A
Discrete Mathematics and Theoretical Computer Science, 284-296.
01-12-2012
Lattice games without rational strategiesFink A
Journal of Combinatorial Theory. Series A vol. 119 (2), 450-459.
01-02-2012
K-classes for matroids and equivariant localizationFink A and Speyer DE
Duke Mathematical Journal vol. 161 (14), 2699-2723.
01-01-2012
Invariants of vector configurationsBerget A and Fink A
Discrete Mathematics & Theoretical Computer Science, Centre Pour La Communication Scientifique Directe (Ccsd) vol. DMTCS Proceedings vo (Proceedings)
01-01-2012
2011
K-classes for matroids and equivariant localizationFink A and Speyer D
Fpsac'11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics, 339-350.
01-12-2011
The binomial ideal of the intersection axiom for conditional probabilitiesFink A
Journal of Algebraic Combinatorics vol. 33 (3), 455-463.
01-01-2011
2010
Valuations for Matroid Polytope SubdivisionsArdila F, Fink A and Rincón F
Canadian Journal of Mathematics, Canadian Mathematical Society vol. 62 (6), 1228-1245.
14-12-2010
Bijections between noncrossing and nonnesting partitions for classical reflection groupsFink A and Giraldo BI
Portugaliae Mathematica, European Mathematical Society - Ems - Publishing House vol. 67 (3), 369-401.
20-08-2010
2009
Bijections between noncrossing and nonnesting partitions for classical reflection groupsFink A and Giraldo BI
FPSAC'09 - 21st International Conference on Formal Power Series and Algebraic Combinatorics., 397-410.
01-12-2009
Interactive supplements to Rick's Tricky six puzzleEnsley D, Fink A and Guy R
Loci vol. 1
01-12-2009
Patulous pegboard polygonsKisman D, Guy R and Fink A
In Mathematical Wizardry For a Gardner 59-68.
01-01-2009
2007
The Number-Pad GameFink A and Guy R
College Mathematics Journal, Taylor & Francis vol. 38 (4), 260-264.
01-09-2007
Extracting NPC Behavior from Computer Games using Computer Vision and Machine Learning TechniquesFink A, Denzinger J and Aycock J
2007 IEEE Symposium on Computational Intelligence and Games., 24-31.
01-04-2007
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryExtensions of matroid Hodge theoryAlex Fink
£335,497 EPSRC Engineering and Physical Sciences Research Council
01-05-2023 - 30-04-2026
Queer and Trans Mathematicians in Combinatorics-GRANT TRANSFERAlex Fink
£2,500 Heilbronn Institute for Mathematical Research
01-07-2023 - 30-09-2023
Conference Grant- Queer and Trans Mathematicians in CombinatoricsAlex Fink
£4,000 London Mathematical Society (LMS)
01-04-2023 - 31-07-2023
TROPDIFFGEO - Tropical Differential GeometryAlex Fink
£156,364 EU Commission - Horizon 2020
01-06-2018 - 30-11-2020