Alex Fink
I am a Senior Lecturer in Pure Mathematics in
the School of
Mathematical Sciences at
Queen Mary
University of London.
Office: W306, Queens' Building, Mile End campus (number 19 on
this
map)
Telephone: 020 7882 5520
Email: a.fink@qmul.ac.uk
Office hours: see
my entry on the School's pages. Or email for an appointment.
Here is my CV.
Skip to:
Teaching
Administration
Activities
Group
Research
Publications
Teaching and tutoring
This semester I am teaching
MTH4104, Introduction to Algebra.
In previous years I have taught an advanced graduate module on
Enumerative Combinatorics
at the London Taught Course Centre.
Administration
I am the Director of Undergraduate Admissions for the School of Mathematical Sciences.
Queries regarding undergraduate admissions should be sent to
maths@qmul.ac.uk.
Activities
The next
Tropical Mathematics and its Applications
meeting will take place at Queen Mary on the afternoon of Wednesday 13 March 2019.
Group
I have two current PhD students
 Ben Smith (started September 2015)
 Scott Kemp (started September 2017)
and one postdoc
 Zeinab Toghani (started June 2018).
My former students are
Research
I share interests with the
Algebra and Number Theory,
Combinatorics, and
Geometry and Analysis
research groups at Queen Mary. It is the Algebra and Number Theory group which I am formally affiliated with.
My research interests are principally in
algebraic combinatorics, especially where commutative algebra
or algebraic geometry apply, including
matroid theory and tropical geometry.
I am the PI on Zeinab's fellowship, titled Tropical differential geometry,
which has been funded by the European Union's Horizon 2020 research and innovation programme
under the Marie SkłodowskaCurie grant agreement No 792432.
Prior to this I held EPSRC grant EP/M01245X/1
Algebra and geometry of matroids.
Publications (and talk slides)
 Journal articles, conference papers, preprints

 Amanda Cameron and Alex Fink, The Tutte polynomial via lattice point counting,
arXiv:1802.09859
(pdf).
See also the FPSAC 2016 extended abstract.
 Clément Dupont, Alex Fink and Luca Moci,
Universal Tutte characters via combinatorial coalgebras,
Algebraic Combinatorics 1 no. 5 (2018), 603–651.
arXiv:1711.09028
(pdf).
Luca's notes
from his minicourse at Dobbiaco 2018.
 Alex Fink and Luca Moci,
Polytopes and parameter spaces for matroids over valuation rings,
Advances in Mathematics 343 (2019), 449–494.
doi:10.1016/j.aim.2018.11.009.
arXiv:1707.01026
(pdf).
Slides.
 Alex Fink, Karola Mészáros and Avery St. Dizier,
Schubert polynomials as integer point transforms of generalized permutahedra,
to appear in Advances in Mathematics.
arXiv:1706.04935
(pdf).
 Alex Fink, David E Speyer and Alexander Woo,
A Gröbner basis for the graph of the reciprocal plane,
to appear in Journal of Commutative Algebra.
arXiv:1703.05967
(pdf).
 Alex Fink, Jenna Rajchgot and Seth Sullivant,
Matrix Schubert varieties and Gaussian conditional independence models,
arXiv:1510.04124
(pdf).
Journal of Algebraic Combinatorics 44 no. 4 (2016), 1009–1046.
 Andrew Berget and Alex Fink, Equivariant Chow classes
of matrix orbit closures,
Transformation Groups 22 no. 3 (2016),
published online.
doi:10.1007/s0003101694065.
arXiv:1507.05054
(pdf).
 Andrew Berget and Alex Fink, Matrix orbit closures,
Beiträge zur Algebra und Geometrie 59 no. 3 (2018), 1–34,
published online.
doi:10.1007/s133660180402x.
arXiv:1306.1810
(pdf).
 Alex Fink and Felipe Rincón, Stiefel tropical
linear spaces, Journal of Combinatorial Theory, Series A 135 (2015),
291–331.
arXiv:1305.6329
(pdf).
 Alex Fink and Luca Moci, Matroids over a ring,
Journal of the European Mathematical Society 18 issue 4 (2016), 681–731.
arXiv:1209.6571
(pdf).
Slides: motivation,
some details.
 Alex Fink,
BoijSöderberg
expansions of matroid StanleyReisner rings,
unpublished note.
 Alex Fink, Aviezri Fraenkel, Carlos Santos,
Lim is not slim,
International Journal of Game Theory 43 issue 2 (2014), 269–281.
doi:10.1007/s001820130380z.
Online at IJGT.
 Alex Fink, Lattice games without rational strategies,
Journal of Combinatorial Theory, Series A 119 (2012), 450–459.
doi:10.1016/j.jcta.2011.10.005.
arXiv:1106.1883
(pdf).
Slides.
 Alex Fink and David E Speyer, Kclasses of matroids
and equivariant localization, Duke Math. J. 161 no. 14 (2012),
2699–2723.
arXiv:1004.2403
(pdf).
Slides.
 Alex Fink, Tropical cycles and Chow polytopes,
Beiträge zur Algebra und Geometrie
54 no. 1 (2013), 13–40.
Online at Beiträge.
arXiv:1001.4784
(pdf).
Slides.
Video of the talk, MSRI, 16 October 2009.
 Harm Derksen and Alex Fink, Valuative invariants
for polymatroids, Advances in Mathematics
225 no. 4 (2010), 1840–1892.
doi:10.1016/j.aim.2010.04.016.
arXiv:0908.2988
(pdf).
Slides.
 Alex Fink, The binomial ideal of the intersection axiom
for conditional probabilities,
J. of Algebraic Combinatorics 33 issue 3 (2011), 455–463.
doi:10.1007/s1080101002535.
arXiv:0902.1495
(pdf).
Slides.
 Alex Fink, Richard Nowakowski, Aaron Siegel, David Wolfe,
Toppling conjectures, Games of No Chance 4,
MSRI Publications volume 63, 65–76.
 Alex Fink and Benjamin Iriarte Giraldo,
Bijections between noncrossing and nonnesting partitions
for classical reflection groups, Portugaliae Mathematicae
67 fasc. 3 (2010), 369–401.
arXiv:0810.2613
(pdf).
 Alex Fink and Richard K Guy,
The outercoarseness of the ncube,
Contributions to Discrete Math. 12 no. 2 (2017), #582.
 Alex Fink, Richard Guy and Mark Krusemeyer,
Partitions with parts appearing at most thrice,
Contributions to Discrete Math. 3 (2008), #79.
 Federico Ardila, Alex Fink and Felipe Rincón,
Valuations for matroid polytope subdivisions,
Canadian Journal of Mathematics,
published electronically on July 29, 2010.
doi:10.4153/CJM20100649.
arXiv:0710.4424
(pdf).
 Alex Fink, Jörg Denzinger, and John Aycock,
Extracting NPC behavior from Computer Games using Computer Vision
and Machine Learning Techniques, IEEE Symposium on
Computational Intelligence and Games, 2007, 24–31.
 Alex Fink and Richard Guy,
The numberpad game,
Coll. Math. J. 38 (2007), 260–264.
 Alex Fink,
A generalization of an IMO problem,
Integers, Electronic Journal of Combinatorial Number Theory
6 (2006), #A17.
 Alex Fink and Bill Sands,
Rationals whose sum equals the
reciprocal of their product, Crux Math. 30
(2004), 292–295.
 Doctoral thesis
 My thesis was titled
Matroid polytope subdivisions and valuations. Aside from an introduction all its content appears in the
papers above.
 Expository writing, manuscripts


Matroid subdivisions, and
a computational appendix.
Written for Jack Edmonds' 2015 summer courses on
Polyhedral Combinatorics and Exponential Polytime,
of which I gave a segment.
 Alex Fink and Richard Guy,
Rick's Tricky Six Puzzle:
S_{5} sits specially in S_{6},
Math. Magazine 82 no. 2 (April, 2009). See also Doug Ensley's
interactive supplement with implementations of the puzzle.
 If two were three,
what would Hex be?, 2008,
for Gathering for Gardner 8.
See also my other page
on this game, with an implementation.
 Patulous pegboard polygons,
with Derek Kisman and Richard Guy, 2006, for Gathering for Gardner 7,
in
Mathematical wizardry for a Gardner, AK Peters, 2009.