Research

Papers

• A finite totally nonnegative Grassmannian: arXiv 

• Diameter bound for facet-ridge incidence graphs of geometric lattices (with P. Hersh): arXiv 

• Transversal and Paving Positroids (with G. Nasr): arXiv 

• Graph-like Scheduling Problems and Property B: Studia Sci. Math. Hungar.  || 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 N. 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.