Ricky Liu

Barkley, G. T., & Liu, R. I. (2021). Channels, Billiards, and Perfect Matching 2-Divisibility. ELECTRONIC JOURNAL OF COMBINATORICS, 28(2). https://doi.org/10.37236/9151

Hatam, H., Johnson, J., Liu, R. I., & Macaulay, M. (2021, October 23). Determinantal Formulas for SEM Expansions of Schubert Polynomials. ANNALS OF COMBINATORICS. https://doi.org/10.1007/s00026-021-00558-z

Liu, R. I., & Weselcouch, M. (2021). P-Partitions and Quasisymmetric Power Sums. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021(18), 13975–14015. https://doi.org/10.1093/imrn/rnz375

Liu, R. I., & Smith, C. (2021). Up- and Down-operators on Young's Lattice. ELECTRONIC JOURNAL OF COMBINATORICS, 28(3). https://doi.org/10.37236/10099

Liu, R. I., & Weselcouch, M. (2020). P-partition generating function equivalence of naturally labeled posets. JOURNAL OF COMBINATORIAL THEORY SERIES A, 170. https://doi.org/10.1016/j.jcta.2019.105136

Liu, R. I., & Smith, C. (2020). The algebra of Schur operators. EUROPEAN JOURNAL OF COMBINATORICS, 87. https://doi.org/10.1016/j.ejc.2020.103130

Liu, R. I., Morales, A. H., & Mészáros, K. (2019). Flow Polytopes and the Space of Diagonal Harmonics. Canadian Journal of Mathematics, 1–27. https://doi.org/10.4153/CJM-2018-007-3

Liu, R. I., Meszaros, K., & St Dizier, A. (2019). GELFAND-TSETLIN POLYTOPES: A STORY OF FLOW AND ORDER POLYTOPES. SIAM JOURNAL ON DISCRETE MATHEMATICS, 33(4), 2394–2415. https://doi.org/10.1137/19M1251242

Blasiak, J., & Liu, R. I. (2018). Kronecker coefficients and noncommutative super Schur functions. Journal of Combinatorial Theory, Series A, 158, 315–361. https://doi.org/10.1016/j.jcta.2018.02.007

Liu, R. I. (2017). A simplified Kronecker rule for one hook shape. Proceedings of the American Mathematical Society, 145(9), 3657–3664. https://doi.org/10.1090/proc/13692

Liu, R. I. (2016). Complete branching rules for Specht modules. JOURNAL OF ALGEBRA, 446, 77–102. https://doi.org/10.1016/j.jalgebra.2015.09.008

Liu, R. I. (2016). On the commutative quotient of Fomin-Kirillov algebras. EUROPEAN JOURNAL OF COMBINATORICS, 54, 65–75. https://doi.org/10.1016/j.ejc.2015.12.003

Blasiak, J., Liu, R. I., & Meszaros, K. (2016). Subalgebras of the Fomin-Kirillov algebra. JOURNAL OF ALGEBRAIC COMBINATORICS, 44(3), 785–829. https://doi.org/10.1007/s10801-016-0688-4

Liu, R. I. (2015). Positive expressions for skew divided difference operators. JOURNAL OF ALGEBRAIC COMBINATORICS, 42(3), 861–874. https://doi.org/10.1007/s10801-015-0606-1

Liu, R. I. (2014). Coefficients of a relative of cyclotomic polynomials. Acta Arithmetica, 165(4), 301–325. https://doi.org/10.4064/aa165-4-1

Liu, R. I. (2014). Laurent polynomials, Eulerian numbers, and Bernstein's theorem. Journal of Combinatorial Theory, Series A, 124, 244–250. https://doi.org/10.1016/j.jcta.2014.02.003

Liu, R. I. (2013). Nonconvexity of the set of hypergraph degree sequences. Electronic Journal of Combinatorics, 20(1).

Liu, R. I. (2012). Matching polytopes and Specht modules. Transactions of the American Mathematical Society, 364(2), 1089–1107. https://doi.org/10.1090/s0002-9947-2011-05516-9

Lewis, J. B., Liu, R. I., Morales, A. H., Panova, G., Sam, S. V., & Zhang, Y. X. (2011). Matrices with restricted entries and $q$-analogues of permutations. Journal of Combinatorics, 2(3), 355–395. https://doi.org/10.4310/joc.2011.v2.n3.a2

Liu, R. I. (2010). An algorithmic Littlewood-Richardson rule. Journal of Algebraic Combinatorics, 31(2), 253–266. https://doi.org/10.1007/s10801-009-0184-1

Liu, R. I. (2010). Specht modules and Schubert varieties for general diagrams (PhD Thesis). Retrieved from http://hdl.handle.net/1721.1/60196.

Liu, R. I. (2007). Counting subrings of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>n</mml:mi></mml:msup></mml:math> of index k. Journal of Combinatorial Theory, Series A, 114(2), 278–299. https://doi.org/10.1016/j.jcta.2006.05.002

Liu, R. I. (2007). Counting subrings of Zn of index k. Journal of Combinatorial Theory Series A, 114(2), 278–299.