Publications
Peer Reviewed
B. Salisbury, A. Schultze, and P. Tingley. Combinatorial descriptions of the crystal structure on certain PBW bases. Transform. Groups, 23: 501-525, 2018.
B. Salisbury, A. Schultze, and P. Tingley. PBW bases and marginally large tableaux in type D. J. Comb., 9:535 – 551, 2018.
Soon to be Submitted (but on arXiv)
C. Lecouvey, C. Lenart, A. Schultze. Towards a Combinatorial Model for q-weight Multiplicities of Simple Lie Algebras. ArXiv 2110.15394, 2021. (Extended Abstract Submitted to Séminaire Lotharingien de Combinatoire)
C. Briggs, C. Lenart, A. Schultze. On Combinatorial Models for Affine Crystals. ArXiv:2109.12199. 2021.
Conference Proceedings
C. Lenart, A. Schultze. On Combinatorial Models for Affine Crystals (Extended Abstract). Séminaire Lotharingien de Combinatoire, Proceedings of the 33rd Conference on Formal Power Series and Algebraic Combinatorics, 2021.
B. Salisbury, A. Schultze, and P. Tingley. Combinatorial descriptions of the crystal structure on certain PBW bases. Séminaire Lotharingien de Combinatoire, Proceedings of the 28th Conference on Formal Power Series and Algebraic Combinatorics, 2016.
Software
D. Muthiah, A. Schultze, P. Tingley, Implementation of the crystal of PBW monomials and MV polytopes in Sage, https://trac.sagemath.org/ticket/18655.
Theses
A. Schultze, Combinatorial Models for Representations of Simple and Affine Lie Algebras, ProQuest Dissertations Publishing, 2021. 28647022.
A. Schultze, Knot Equivalence Through Braids and Rational Tangles, http://hdl.handle.net/2104/8630.