Alex Fink
I'm a graduate student, in my fourth and final year, in
the math department at Berkeley,
under the joint supervision of
Bernd Sturmfels and
Federico Ardila
(of SFSU).
My research interests are in combinatorics
and its interface with algebra and geometry;
my recent work has focussed particularly on tropical geometry.
Here is my CV.
This semester I'm running, together with
Franziska Schroeter, a grad student
tropical geometry seminar at MSRI.
My office is 1065 Evans.
Write me at finka math.berkeley.edu with an at sign
in the usual place.
Publications
My thesis in progress is called
Matroid polytopes and tropical cycles.
- Journal articles, conference papers
-
- Harm Derksen and Alex Fink, Valuative invariants
for polymatroids, preprint,
arXiv:0908.2988
(pdf).
- Alex Fink, The binomial ideal of the intersection axiom
for conditional probabilities, preprint,
arXiv:0902.1495
(pdf).
- Alex Fink and Benjamin Iriarte Giraldo,
Bijections between noncrossing and nonnesting partitions
for classical reflection groups, to appear in
Portugaliae Mathematicae. Preprint,
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 Math. Bulletin 13, to appear.
Preprint,
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 number-pad 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.
- Expository writing, manuscripts
-
- Alex Fink and Richard Guy,
Rick's Tricky Six Puzzle:
S5 sits specially in S6,
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.
Slides
Other things