Alex Fink
I am a Senior Lecturer in Pure Mathematics in
the School of
Mathematical Sciences at
Queen Mary
University of London.
I am on sabbatical for the autumn 2016 semester,
based at the Fields Institute
in Toronto for the
Thematic Programme
on Combinatorial Algebraic Geometry.
Office: 406, Mathematics Building, Mile End campus (number 4 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
In Semester B, I will teach
MTH4104, Introduction to Algebra.
In previous years I have taught an advanced graduate module on
Enumerative Combinatorics
at the London Taught Course Centre.
Administration
In 2017, on return from my sabbatical I will be one of two
tutors for postgraduate admissions.
Contact me if you have enquiries about postgraduate study in mathematics
at Queen Mary.
Activities
During my sabbatical (see above), I am jointly organising
the seminar
of the thematic programme.
I will be organising the
London Algebra Colloquium
in the spring semester of 2017.
FPSAC
will be held at Queen Mary from 9th to 13 July 2017.
I am among the cochairs of its scientific programme committee.
Group
As part of my EPSRC grant I have hired
Madhusudan Manjunath
as a postdoc.
I have two current PhD students:
 Amanda Cameron (started January 2014)
 Ben Smith (started September 2015)
Research
I belong to Queen Mary's
algebra,
combinatorics, and
geometry and analysis
research groups.
My research interests are principally in
algebraic combinatorics, especially where commutative algebra
or algebraic geometry apply; matroid theory and tropical geometry
have been recent themes.
I currently hold EPSRC grant EP/M01245X/1
Algebra and geometry of matroids.
Publications (and talk slides)
 Journal articles, conference papers, preprints

 Amanda Cameron and Alex Fink, A lattice point counting
generalisation of the Tutte polynomial, extended abstract
arXiv:1604.00962
(pdf).
Full version forthcoming.
 Alex Fink, Jenna Rajchgot, Seth Sullivant,
Matrix Schubert varieties and Gaussian conditional independence models,
arXiv:1510.04124
(pdf).
To appear in Journal of Algebraic Combinatorics.
 Andrew Berget and Alex Fink, Equivariant Chow classes
of matrix orbit closures,
arXiv:1507.05054
(pdf),
to appear in Transformation Groups.
Online version
at Transformation Groups.
 Alex Fink and Luca Moci,
Structure of matroids over a valuation ring,
in preparation.
Slides.
 Andrew Berget and Alex Fink, Matrix orbit closures,
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, 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.