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
Fink A, Escobar L, Rajchgot J and Woo A (2024). Gröbner bases, symmetric matrices, and type C Kazhdan-Lusztig varieties. Journal of the London Mathematical Society, Wiley 01-02-2024
2022
Fink A and Toghani Z (2022). INITIAL FORMS AND A NOTION OF BASIS FOR TROPICAL DIFFERENTIAL EQUATIONS. Pacific Journal of Mathematics, Mathematical Sciences Publishers vol. 318 (2), 453-468. 20-08-2022
Fink A and Olarte J (2022). Presentations of Transversal Valuated Matroids. Journal of the London Mathematical Society, London Mathematical Society 29-01-2022
Fink A and CAMERON A (2022). The Tutte polynomial via lattice point counting. Journal of Combinatorial Theory: Series A, Elsevier 17-01-2022
2021
Berget A and Fink A (2021). Equivariant K-Theory Classes of Matrix Orbit Closures. International Mathematics Research Notices, Oxford University Press (OUP) vol. 2022 (18), 14105-14133. 02-06-2021
Berget A and 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 21-04-2021
2020
Fink A, Mészáros K and St. Dizier A (2020). Zero-one Schubert polynomials. Mathematische Zeitschrift, Springer (part of Springer Nature) vol. 297 (3), 1023-1042. 10-06-2020
Cameron A and Fink A (2020). A lattice point counting generalisation of the Tutte polynomial. 22-04-2020
2019
FINK A and Moci L (2019). Polyhedra and parameter spaces for matroids over valuation rings. Advances in Mathematics, Elsevier vol. 343, 448-494. 05-02-2019
Fink A and Moci L (2019). Polyhedra and parameter spaces for matroids over valuation rings. Advances in Mathematics, Elsevier vol. 343, 448-494. 01-02-2019
2018
Dupont C, FINK A and Moci L (2018). Universal Tutte characters via combinatorial coalgebras. Journal of Algebraic Combinatorics, Springer Verlag 30-11-2018
Fink A, Mészáros K and St. Dizier A (2018). Schubert polynomials as integer point transforms of generalized permutahedra. Advances in Mathematics, Elsevier vol. 332, 465-475. 01-07-2018
Berget A and Fink A (2018). Matrix orbit closures. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Springer Nature vol. 59 (3), 397-430. 25-05-2018
2017
FINK A and GUY RK (2017). The outercoarseness of the n-cube. Contributions to Discrete Mathematics, University of Calgary 01-12-2017
FINK A, Speyer DE and Woo A (2017). A Gröbner basis for the graph of the reciprocal plane. Journal of Commutative Algebra, Rocky Mountain Mathematics Consortium 02-08-2017
2016
BERGET A and FINK A (2016). Equivariant chow classes of matrix orbit closures. Transformation Groups, Springer Verlag (Germany), 1-13. 19-07-2016
Fink A, Rajchgot J and Sullivant S (2016). Matrix Schubert varieties and Gaussian conditional independence models. Journal of Algebraic Combinatorics, Springer Science and Business Media LLC vol. 44 (4), 1009-1046. 15-07-2016
Fink A and Moci L (2016). Matroids over a ring. Journal of the European Mathematical Society, European Mathematical Society - EMS - Publishing House GmbH vol. 18 (4), 681-731. 08-03-2016
2015
Fink A and Rincón F (2015). Stiefel tropical linear spaces. Journal of Combinatorial Theory Series A, Elsevier vol. 135, 291-331. 01-10-2015
Fink A and Moci L (2015). Matroids Over a Ring. Combinatorial Methods in Topology and Algebra 41-47. 01-01-2015
2014
Fink A, Fraenkel AS and Santos C (2014). LIM is not slim. International Journal of Game Theory vol. 43 (2), 269-281. 01-01-2014
2013
Fink A and Moci L (2013). Matroids over a ring. Discrete Mathematics and Theoretical Computer Science, 157-168. 18-11-2013
Fink A, Fraenkel AS and Santos C (2013). LIM is not slim. International Journal of Game Theory, 1-13. 01-01-2013
Fink A (2013). Tropical cycles and Chow polytopes. Beitrage zur Algebra und Geometrie vol. 54 (1), 13-40. 01-01-2013
2012
Berget A and Fink A (2012). Projective invariants of vector configurations. Discrete Mathematics and Theoretical Computer Science, 284-296. 01-12-2012
Fink A (2012). Lattice games without rational strategies. Journal of Combinatorial Theory. Series A vol. 119 (2), 450-459. 01-02-2012
Fink A and Speyer DE (2012). K-classes for matroids and equivariant localization. Duke Mathematical Journal vol. 161 (14), 2699-2723. 01-01-2012
Berget A and Fink A (2012). Invariants of vector configurations. Discrete Mathematics & Theoretical Computer Science, Centre pour la Communication Scientifique Directe (CCSD) vol. DMTCS Proceedings vo (Proceedings) 01-01-2012
2011
Fink A and Speyer D (2011). K-classes for matroids and equivariant localization. FPSAC'11 - 23rd International Conference on Formal Power Series and Algebraic Combinatorics, 339-350. 01-12-2011
Fink A (2011). The binomial ideal of the intersection axiom for conditional probabilities. Journal of Algebraic Combinatorics vol. 33 (3), 455-463. 01-01-2011
2010
Ardila F, Fink A and Rincón F (2010). Valuations for Matroid Polytope Subdivisions. Canadian Journal of Mathematics, Canadian Mathematical Society vol. 62 (6), 1228-1245. 14-12-2010
Fink A and Giraldo BI (2010). Bijections between noncrossing and nonnesting partitions for classical reflection groups. Portugaliae Mathematica, European Mathematical Society - EMS - Publishing House GmbH vol. 67 (3), 369-401. 20-08-2010
FINK A (2010). Valuative invariants for polymatroids. Adv. Math. vol. 225 (4), 1840-1892. 01-01-2010
2009
Fink A and Giraldo BI (2009). Bijections between noncrossing and nonnesting partitions for classical reflection groups. 01-12-2009
Ensley D, Fink A and Guy R (2009). Interactive supplements to Rick's Tricky six puzzle. Loci vol. 1 01-12-2009
Kisman D, Guy R and Fink A (2009). Patulous pegboard polygons. Mathematical Wizardry for a Gardner 59-68. 01-01-2009
2007
Fink A and Guy R (2007). The Number-Pad Game. College Mathematics Journal, Taylor & Francis vol. 38 (4), 260-264. 01-09-2007
Fink A, Denzinger J and Aycock J (2007). Extracting NPC Behavior from Computer Games using Computer Vision and Machine Learning Techniques. 2007 IEEE Symposium on Computational Intelligence and Games. 01-04-2007
Grants
Grants of specific relevance to the Centre for Combinatorics, Algebra and Number TheoryExtensions of matroid Hodge theoryAlexander Fink
£335,497 EPSRC Engineering and Physical Sciences Research Council (01-05-2023 - 30-04-2026)
Queer and Trans Mathematicians in Combinatorics-GRANT TRANSFERAlexander Fink
£2,500 Heilbronn Institute for Mathematical Research (01-07-2023 - 30-09-2023)
Conference Grant- Queer and Trans Mathematicians in CombinatoricsAlexander Fink
£4,000 London Mathematical Society (LMS) (01-04-2023 - 31-07-2023)