Office: MA 118
I am a lecturer in the mathematics department at Ohio
State University. I was a postdoc at University of Connecticut
last year, an NSF postdoc at University of Minnesota
from 2013 to 2016 and a postdoc during the 2012-2013 year at MSRI and UC Berkeley. I completed my
PhD in 2012 at
University of Michigan under the supervision of Sergey Fomin.
I have a cv and a research statement.
In Spring 2018 I am teaching Math 2174: Linear Algebra and
Differential Equations, as well as Math 2177: Mathematical Topics
My interests lie in the field of algebraic combinatorics, and more
specifically, cluster algebras. I would like to better understand
how cluster algebras relate to projective geometry and discrete
For a quick taste of my mathematical interests, take a look at the
animation in slides 9 through 16 of this presentation. Trying to
understand the incidence theorem in question leads in many surprisingly deep
directions that have informed my work on the pentagram map and also
that of my REU student (who proved that the green lines on slide
16 intersect at the center of mass of the eight vertices on slide 9).
- Soliton cellular automata associated with infinite reduced
words, joint with Rei Inoue and Pavlo Pylyavskyy, arXiv:1712.08989.
- Gale-Robinson quivers: from representations to combinatorial
formulas, joint with J. Weyman, arXiv:1710.09765.
- The limit point of the pentagram map, arXiv:1707.02320.
- The Berenstein-Kirillov group and cactus groups, joint with M.
Chmutov and P. Pylyavskyy, arXiv:1609.02046.
- Discrete solitons in infinite reduced words, joint with P.
- Y-meshes and generalized pentagram maps, joint with P.
Pylyavskyy, Proceedings of the London Mathematical Society,
112 (2016), 753-797.
- The Devron property, Journal of Geometry and Physics 87
- On singularity confinement for the pentagram map, Journal
of Algebraic Combinatorics 38 (2013), 597-635.
- The pentagram map and Y-patterns, Advances in Mathematics
227 (2011), 1019-1045.
- (Book Chapter) M. Glick and D. Rupel, Introduction to
cluster algebras, Symmetries and Integrability of Difference
Equations, Springer, Cham, (2017), 325--357.
These lecture notes are based on our presentation at the 2016
ASIDE summer school.
- (Appendix) K. Baur, M. Glick, and P. Martin, The number
of `Scott permutations', appendix to K. Baur and P. Martin, The
fibers of the Scott map on polygon tilings are the flip
equivalence classes, arXiv:1601.05080.
This was my first foray into pure enumerative
combinatorics. We counted the number of polygonal tilings of a
convex n-gon up to flip equivalence (say a diagonal in a tiling
is flippable if it is part of two triangles and that the
corresponding flip replaces such a diagonal with the
other diagonal of the enclosing quadrilateral).
I play bridge in my free time. An article about my team back in
Michigan was written here (thanks to
Jin for supplying the file).