Prof Alex Fink
PhD
Professor in Pure Mathematics
Head of The Centre for Combinatorics, Algebra and Number Theory
School of Mathematical Sciences
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 Theory
2025
The polytope of all matroidsFerroni L Fink A
Selecta Mathematica (New Series),
Springer vol. 31
11-11-2025The omega invariant of a matroidFink A Shaw K Speyer D
International Mathematics Research Notices,
Oxford University Press 27-10-2025 Projective hypersurfaces in tropical scheme theory I: the Macaulay idealFink A Giansiracusa J Giansiracusa N Mundinger J
Research in The Mathematical Sciences,
Springer 25-04-2025 Extensions of transversal valuated matroidsFink A Olarte JA
European Journal of Combinatorics,
Elsevier vol. 127
19-03-2025 Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology classElizondo EJ Fink A Garay López C
Journal of Pure and Applied Algebra,
Elsevier vol. 229 (6)
13-03-2025 2024
The external activity complex of a pair of matroidsBerget A Fink A
16-12-2024 The omega invariant of a matroidFink A Shaw K Speyer DE
29-11-2024 Projective hypersurfaces in tropical scheme theory I: the Macaulay idealFink A Giansiracusa J Giansiracusa N Mundinger J
In
Arxiv 25-05-2024 Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varietiesFink A Escobar L Rajchgot J Woo A
Journal of The London Mathematical Society,
Wiley 01-02-2024 2023
Extensions of transversal valuated matroidsFink A Olarte JA
In
Arxiv 10-08-2023 2022
Signed permutohedra, delta-matroids, and beyondEur C Fink A Larson M Spink H
In
Arxiv 14-09-2022 INITIAL FORMS AND A NOTION OF BASIS FOR TROPICAL DIFFERENTIAL EQUATIONSFink A Toghani Z
Pacific Journal of Mathematics,
Mathematical Sciences Publishers vol. 318 (2), 453-468.
20-08-2022 Presentations of Transversal Valuated MatroidsFink A Olarte J
Journal of The London Mathematical Society,
London Mathematical Society 29-01-2022 The Tutte polynomial via lattice point countingFink A CAMERON A
Journal of Combinatorial Theory: Series A,
Elsevier 17-01-2022 2021
Matroids and the space of torus-invariant subvarieties of the Grassmannian with given homology classElizondo EJ Fink A López CG
In
Arxiv 31-12-2021 Correction to: EQUIVARIANT CHOW CLASSES OF MATRIX VARIETIES (Transformation Groups, (2017), 22, 3, (631-643), 10.1007/s00031-016-9406-5)Berget A Fink A
Transformation Groups 21-04-2021 Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varietiesEscobar L Fink A Rajchgot J Woo A
In
Arxiv 19-04-2021 2020
Zero-one Schubert polynomialsFink A Mészáros K St. Dizier A
Mathematische Zeitschrift,
Springer (Part of Springer Nature) vol. 297 (3), 1023-1042.
10-06-2020 Initial forms and a notion of basis for tropical differential equationsFink A Toghani Z
17-04-2020 2019
Equivariant K-theory classes of matrix orbit closuresBerget A Fink A
22-04-2019 Zero-one Schubert polynomialsFink A Mészáros K Dizier AS
In
Arxiv 25-03-2019 Presentations of Transversal Valuated MatroidsFink A Olarte JA
19-03-2019 Polyhedra and parameter spaces for matroids over valuation ringsFINK A Moci L
Advances in Mathematics,
Elsevier vol. 343, 448-494.
05-02-2019 Polyhedra and parameter spaces for matroids over valuation ringsFink A Moci L
Advances in Mathematics,
Elsevier vol. 343, 448-494.
01-02-2019 2018
Universal Tutte characters via combinatorial coalgebrasDupont C FINK A Moci L
Journal of Algebraic Combinatorics,
Springer Verlag 30-11-2018 The Tutte polynomial via lattice point countingCameron A Fink A
In
Arxiv 27-02-2018 2017
The outercoarseness of the n-cubeFINK A GUY RK
Contributions to Discrete Mathematics,
University of Calgary 01-12-2017 Universal Tutte characters via combinatorial coalgebrasDupont C Fink A Moci L
24-11-2017 A Gröbner basis for the graph of the reciprocal planeFINK A Speyer DE Woo A
Journal of Commutative Algebra,
Rocky Mountain Mathematics Consortium 02-08-2017 Polyhedra and parameter spaces for matroids over valuation ringsFink A Moci L
In
Arxiv 04-07-2017 Schubert polynomials as integer point transforms of generalized permutahedraFink A Mészáros K Dizier AS
In
Arxiv 15-06-2017 A Gröbner basis for the graph of the reciprocal planeFink A Speyer DE Woo A
17-03-2017 2016
Equivariant chow classes of matrix orbit closuresBERGET A FINK A
Transformation Groups,
Springer Verlag (Germany), 1-13.
19-07-2016 Matrix Schubert varieties and Gaussian conditional independence modelsFink A Rajchgot J Sullivant S
Journal of Algebraic Combinatorics,
Springer Science and Business Media Llc vol. 44 (4), 1009-1046.
15-07-2016 A lattice point counting generalisation of the Tutte polynomialCameron A Fink A
04-04-2016 Matroids over a ringFink A Moci L
Journal of The European Mathematical Society,
European Mathematical Society - Ems - Publishing House vol. 18 (4), 681-731.
08-03-2016 2015
Matrix Schubert varieties and Gaussian conditional independence modelsFink A Rajchgot J Sullivant S
In
Arxiv 14-10-2015 Stiefel tropical linear spacesFink A Rincón F
Journal of Combinatorial Theory Series A,
Elsevier vol. 135, 291-331.
01-10-2015 Equivariant Chow classes of matrix orbit closuresBerget A Fink A
17-07-2015 Matroids Over a RingFink A Moci L
In
Combinatorial Methods in Topology and Algebra,
Springer Nature 41-47.
01-01-2015 2014
LIM is not slimFink A Fraenkel AS Santos C
International Journal of Game Theory vol. 43 (2), 269-281.
01-01-2014 2013
Matroids over a ringFink A Moci L
Discrete Mathematics and Theoretical Computer Science, 157-168.
18-11-2013 Matrix orbit closuresBerget A Fink A
07-06-2013 Stiefel tropical linear spacesFink A Rincón F
In
Arxiv 27-05-2013 LIM is not slimFink A Fraenkel AS 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 Fink A
Discrete Mathematics and Theoretical Computer Science, 284-296.
01-12-2012 Matroids over a ringFink A Moci L
28-09-2012 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 Speyer DE
Duke Mathematical Journal vol. 161 (14), 2699-2723.
01-01-2012 Invariants of vector configurationsBerget A 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 Speyer D
Fpsac 11 23rd International Conference on Formal Power Series and Algebraic Combinatorics, 339-350.
01-12-2011 Lattice games without rational strategiesFink A
09-06-2011 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 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 Giraldo BI
Portugaliae Mathematica,
European Mathematical Society - Ems - Publishing House vol. 67 (3), 369-401.
20-08-2010 K-classes of matroids and equivariant localizationFink A Speyer DE
14-04-2010 Tropical cycles and Chow polytopesFink A
26-01-2010 Valuative invariants for polymatroidsFINK A
Adv. Math. vol. 225 (4), 1840-1892.
01-01-2010 2009
Bijections between noncrossing and nonnesting partitions for classical reflection groupsFink A 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 Guy R
Loci vol. 1
01-12-2009 Valuative invariants for polymatroidsDerksen H Fink A
In
Arxiv 20-08-2009 The binomial ideal of the intersection axiom for conditional
probabilitiesFink A
09-02-2009 Patulous pegboard polygonsKisman D Guy R Fink A
In
Mathematical Wizardry For a Gardner 59-68.
01-01-2009 2008
A bijection between noncrossing and nonnesting partitions for classical
reflection groupsFink A Giraldo BI
15-10-2008 2007
Valuations for matroid polytope subdivisionsArdila F Fink A Rincón F
In
Arxiv 24-10-2007 The Number-Pad GameFink A 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 Aycock J
2007 IEEE Symposium on Computational Intelligence and Games., 24-31.
01-04-2007 A lattice point counting generalisation of the Tutte polynomialCameron A Fink A
Formal Power Series and Algebraic Combinatorics 2016.
Schubert polynomials as integer point transforms of generalized permutahedraFINK A Mészáros K St Dizier A
Advances in Mathematics,
Elsevier Matrix Orbit ClosuresFINK A Berget A
BeiträGe Zur Algebra Und Geometrie / Contributions to Algebra and Geometry,
Springer Verlag Equivariant K-theory classes of matrix orbit closuresFink A Berget A
International Mathematics Research Notices,
Oxford University Press (OUP) Signed permutohedra, delta-matroids, and beyondEur C Fink A Larson M Spink H
Proceedings of The London Mathematical Society,
Wiley (Delta-)matroid polytopes and valuative invariantsFink A
In
2023 Matrix Annals,
Springer Nature Switzerland Ag Chromatically Equivalent Chordal GraphsDong F Fink A Li T McKay B Morgan K Royle G Vena L Zhang M
In
2023 Matrix Annals,
Springer Nature Switzerland Ag
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number Theory
POLYHODGE MSCA PF 2023 Fink/FerroniAlex Fink£206,086
EPSRC - EU Scheme01-08-2025 - 31-07-2027 Extensions of matroid Hodge theoryAlex Fink£335,497
EPSRC Engineering and Physical Sciences Research Council01-05-2023 - 30-04-2026
Queer and Trans Mathematicians in Combinatorics-GRANT TRANSFERAlex Fink£2,500
Heilbronn Institute for Mathematical Research01-07-2023 - 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 202001-06-2018 - 30-11-2020
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 - Linxuan Li
(Provisional Topic) Tropical Complete Intersections of Low Degree - Cat Rust
Topology of Stable Mapping Spaces
News
October 2025
6 October 2025
We welcome a bumper cohort of postdocs to the Centre for Combinatorics, Algebra and Number Theory this year. For this post, we asked them to introduce themselves and say a bit about their mathematical journey to QMUL and what they will be getting up to during their time here.
Himanshi ... [more]
2 October 2025
The School of Mathematical Sciences hosted the twenty-second meeting of the Applied Algebra and Geometry Network on Monday 15 September with a large contingent from the Centre for Combinatorics, Algebra and Number Theory participating.
Queen Mary postdoc Dante Luber shared his thoughts after the meeting.
What were your general impressions of ... [more]
