Research
Papers
Transversal and Paving Positroids (G. Nasr): arXiv
Graph-like Scheduling Problems and Property B: arXiv
q-Rational and q-Real Binomial Coefficients (with N. Ovenhouse): Adv. Appl. Math. || arXiv
Red sizes of quivers (with E. Bucher): Arnold Math. J. || arXiv
Mechanical proving with Walnut for squares and cubes in partial words: CPM 2022 || arXiv
Gorenstein braid cones and crepant resolutions (with J. Hallam): Discrete Comput. Geom. || arXiv
Discrete dynamical systems from real valued mutation (with N. Ovenhouse): Exp. Math. || arXiv
Lattice walks ending on a coordinate hyperplane avoiding backtracking and repeats: Enumer. Combin. Appl. || arXiv
Shelling the m=1 amplituhedron (with S. N. Karp): Comb. Theory || arXiv
Unique maximum independent sets in graphs on monomials of a fixed degree: LAGOS 2021 || arXiv
Sign variation and descents (with N. Bergeron and A. Dermenjian): Electron. J. Combin. || FPSAC 2021 || arXiv
Boundary measurement and sign variation in real projective space: Ann. Inst. Henri Poincaré || arXiv
New invariants for permutations, orders and graphs (with J.-C. Aval and N. Bergeron): Adv. Appl. Math. || arXiv
Building maximal green sequences via component preserving mutations (with E. Bucher, E. Runburg, A. Yeck, and E. Zewde): Ars Math. Contemp. || arXiv
Partial words with a unique position starting a power: Inform. Process. Lett. || arXiv
Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers (with C. Bennett, J. Carrillo, and B. Sagan): Ann. Comb. || arXiv
Strong factorization and the braid arrangement fan: Tohoku Math. J. (2) || arXiv
Reddening sequences for Banff quivers and the class P (with E. Bucher): SIGMA Symmetry Integrability Geom. Methods Appl. || arXiv
Upper cluster algebras and choice of ground ring (with E. Bucher and M. Shapiro): Sci. China Math. || arXiv
Hypergraphic polytopes: combinatorial properties and antipode (with C. Benedetti and N. Bergeron): J. Comb. || FPSAC 2018 || arXiv
Egyptian Fractions and Prime Power Divisors: J. Integer Seq. || arXiv
Log-Canonical Coordinates for Poisson Brackets and Rational Changes of Coordinates (with Nicholas Ovenhouse): J. Geom. Phys. || arXiv
Plurigraph Coloring and Scheduling Problems: Electron. J. Combin. || FPSAC 2016 || arXiv
Boundary Measurement Matrices for Directed Networks on Surfaces: Adv. Appl. Math. || arXiv
Deleting Powers in Words: J. Autom. Lang. Comb. || arXiv
Combinatorial Hopf Algebras of Simplicial Complexes (with C. Benedetti and J. Hallam): SIAM J. Discrete Math. || FPSAC 2015 || arXiv
Squares in Partial Words (with F. Blanchet-Sadri, Y. Jiao, J.D. Quigley and X. Zhang): Theoret. Comput. Sci. || DLT 2012
An Interior Point Method for Solving Semidefinite Programs Using Cutting Planes and Weighted Analytic Centers (with S. Jibrin): J. Appl. Math.
Pictures
One of many maximal green sequences which can be constructed by Building maximal green sequences via component preserving mutations. (Made with help of the quiver mutation applet by Bernhard Keller.)
A periodic orbit from Discrete dynamical systems from real valued mutation.
Some 2-dimensional lattice walks avoiding backtracking ending on the x-axis from Lattice walks ending on a coordinate hyperplane avoiding backtracking and repeats.
The antipode of the hypergraph {{1,2,3}, {3,4}} computed using acyclic orientations and faces of Minkowski sums of simplicies from Hypergraphic polytopes: combinatorial properties and antipode.
A closed curve on the torus and represented in plane using the fundamental polygon for computation of Boundary Measurement Matrices for Directed Networks on Surfaces.
A DFAO from Mechanical proving with Walnut for squares and cubes in partial words which produces a partial word with infinitely many holes avoiding squares of order 4 or more.
The unique maximum independent set in the triangular grid graph found in Unique maximum independent sets in graphs on monomials of a fixed degree.
A portion of the tree of extended Fermat primes defined in Egyptian Fractions and Prime Power Divisors where p = 2 * 3 * 7 * 43^2 * 77659^(197)+ 1.
Two non-isomorphic 3-uniform hypergraphs with the same chromatic symmetric function from Plurigraph Coloring and Scheduling Problems.