Cristian Lenart
Professor
Mathematics and Statistics
University at Albany
United States of America
Biography
Cristian Lenart's main interest is in the development of combinatorial models for various areas of algebra and geometry, with the goal of performing concrete computations and understanding concrete spaces with combinatorial precision. He has been an invited speaker at various national and international conferences, including recent workshops in Kyoto (2008), at the Mathematical Sciences Research Institute in Berkeley (2008), and at the Banff International Research Station in Canada (2007). Lenart's work has been supported by two National Science Foundation grants. He received a doctorate in mathematics from the University of Manchester, United Kingdom (1996), and a doctorate in computer science from the University of Cluj-Napoca, Romania (1992). He has been a member of UAlbany's Department of Mathematics and Statistics since 1999.
Research Interest
Algebraic combinatorics (05E05, 05E10, 05E99), Lie algebras and their representations (17B10, 17B37, 17B67), Macdonald polynomials (33D52, 33D80), Weyl group multiple Dirichlet series (11F68), algebraic geometry (14C17, 14M15), K-theory (19L47), algebraic topology (55N22, 55S10, 55S25), cluster analysis (62H30).
Publications
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P. Hersh and C. Lenart, From the weak Bruhat order to crystal posets, arXiv:1510.05636, 2015; recommended for publication (subject to revisions) in Math. Z.
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C. Lenart and K. Zainoulline, Towards generalized cohomology Schubert calculus via formal root polynomials, arXiv:1408.5952, to appear in Math. Res. Lett
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C. Lenart, S. Naito, D. Sagaki, A. Schilling, and M. Shimozono, A uniform model for Kirillov-Reshetikhin crystals II: Alcove model, path model, and P = X, Int. Math. Res. Not., 2016, 1–61, DOI: 10.1093/imrn/rnw129; 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013), 57–68, Discrete Math. Theor. Comput. Sci. Proc., AS, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2013 (MR 3090977).
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C. Lenart, S. Naito, D. Sagaki, A. Schilling, and M. Shimozono, A uniform model for Kirillov-Reshetikhin crystals III: Nonsymmetric Macdonald polynomials at t = 0 and Demazure characters, arXiv:1511.00465, 2015; to appear in Transform. Groups.
