Research

Links

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Research publications

• ORQVIZ: Visualizing high-dimensional landscapes in variational quantum algorithms (with M. Rudolph, S. Sim, A. Raza, M. Stechly, J. McClean, E. Anschuetz, and A. Perdomo-Ortiz) – Preprint, 2021
• Bijecting hidden symmetries for skew staircase shapes (with Zachary Hamaker, Alejandro Morales, Igor Pak, and Nathan Williams) – Preprint, 2021
• Multiplicative structures of the immaculate basis of non-commutative symmetric functions (with C. Berg, N. Bergeron, F. Saliola, M. Zabrocki) – Journal of Combinatorial Theory, Series A , 2017
• Indecomposable modules for the dual immaculate basis of quasi-symmetric functions (with C. Berg, N. Bergeron, F. Saliola, M. Zabrocki) – Proceedings of the American Mathematical Society, 2015
• The immaculate basis of the non-commutative symmetric functions (with C. Berg, N. Bergeron, F. Saliola, M. Zabrocki) – FPSAC 2013, France (extended abstract), 2013
• A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions (with C. Berg, N. Bergeron, F. Saliola, M. Zabrocki)- Canadian Journal of Mathematics, 2014
• Combinatorial expansions for families of non-commutative k-Schur functions (with C. Berg, F. Saliola) – Siam Journal of Discrete Math, 2014
• Pieri operators on the affine nilCoxeter algebra (with C. Berg, F. Saliola) – Transactions of the American Mathematical Society, 2014
• Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials (With N. Loehr and G. Warrington) – Journal of Combinatorial Theory, Series A, 2013
• The down operator and expansions of near rectangular k-Schur functions (With C. Berg, F. Saliola) – Journal of Combinatorial Theory Series A, 2013
• Quasi-symmetric and non-commutative affine Schur functions (with C. Berg) – 2012
• Staircase skew Schur functions are Schur P-positive (With F. Ardila) – Journal of Algebraic Combinatorics, 2012
• Maximal fillings of moon polyominoes, simplicial complexes, and Schubert polynomials – Electronic Journal of Combinatorics, 2011
• Generalized triangulations, pipe dreams, and simplicial spheres – FPSAC 2011, Austria (extended abstract), 2011
• Cyclic sieving for longest reduced words in the hyperoctahedral group (With K. Petersen) – Electronic Journal of Combinatorics, 2010
• The shifted plactic monoid – Mathematische Zeitschrift, 2009
• A simple recurrence for covers of the sphere with branch points of arbitrary ramification (With I. P. Goulden) – Annals of Combinatorics, 2006
• Maintaining the spirit of the reflection principle when the boundary has arbitrary integer slope (With I. P. Goulden) – Journal of Combinatorial Theory, Series A, 200

Theses

• PhD Thesis: Noncommutative Schur P-functions and the shifted plactic monoid
• Masters Thesis: Transitive factorizations of permutations and Eulerian maps in the plane