Alex Fink
I am a Lecturer in Pure Mathematics in
the School of
Mathematical Sciences at
Queen Mary
University of London.
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 taught
MTH4104, Introduction to Algebra.
I also ran two tutorials for
MTH5103, Complex Variables:
 Thursday 3pm, BR 3.01
 Thursday 4pm, GO Jones UG 1
Administration
I am the Communications Coordinator for the School of Mathematics,
responsible for gathering news of academic relevance for
the Maths website and School newsletter among other fora.
Please let me know
if you have noteworthy publications, public appearances,
new collaborations, longterm visitors whom others might
want to talk to,
…
Activities
A
meeting of the LMS
Joint Research Group in Tropical Mathematics
will be held at Queen Mary on the afternoon of Tuesday 15th September, 2015.
FPSAC
will be held at Queen Mary in 2017.
Group
I have one current postdoc
and one current PhD student
 Amanda Cameron (started January 2014)
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 have been awarded EPSRC grant EP/M01245X/1
Algebra and geometry of matroids, to commence in the fall of 2015.
Here is
a research statement
from a couple years ago.
Publications (and talk slides)
 Journal articles, conference papers, preprints

 Andrew Berget and Alex Fink, Equivariant Chow classes
of matrix orbit closures,
arXiv:1507.05054
(pdf).
 with Luca Moci,
Structure of matroids over a valuation ring,
in preparation.
Slides.
 with Jenna Rajchgot and Seth Sullivant,
Matrix Schubert varieties and Gaussian conditional independence models,
in preparation.
 A generating function method for impartial games, 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,
to appear in Journal of the European Mathematical Society.
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, to appear in Games of No Chance 4,
MSRI Publications volume 63.
 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.