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Personal Information
I am a research associate and lecturer at University of Virginia, mentored by Weiqiang Wang. Before that I was a Visiting Assistant Professor at University of Denver and my mentor was Andrew Linshaw. I received my Ph.D. in Mathematics from Indiana University Purdue University Indianapolis (IUPUI), advised by Evgeny Mukhin and Vitaly Tarasov.
- Email: Kang$\cdot$Lu@Virginia$\cdot$edu, Kang$\cdot$Lu$\cdot$math@gmail$\cdot$com
- Address: Kerchof Hall 229, 141 Cabell Drive, Charlottesville, VA 22904
- My CV
Education
- Aug. 2020, Ph.D., Department of Mathematical Sciences, IUPUI
- Jul. 2014, M.S., Department of Mathematics, Zhejiang University
- Jul. 2010, B.S., School of Mathematical Sciences, Fudan University
Research Interests
Generally speaking, I am interested in Representation Theory and Quantum Algebras.
More specifically, my current research interests are: Representation Theory of Quantum Groups, Lie Algebras and Superalgebras, and Integrable System.
Preprints
See also arXiv
- Twisted super Yangians of type AIII and their representations
(arXiv:2311.16373) - Isomorphism between twisted $q$-Yangians and affine $\imath$quantum groups: type AI
(arXiv:2308.12484) - A Drinfeld type presentation of twisted Yangians
(with Weiqiang Wang and Weinan Zhang), (arXiv:2308.12254)
Publications
See also MathSciNet.
- On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
J. High Energ. Phys. 04 (2023), Article number: 120, (arXiv:2209.14416) - Schur-Weyl duality for quantum toroidal superalgebras
J. Pure Appl. Algebra 227 (2023), no. 9, 107382, (arXiv:2109.09005) - Completeness of Bethe ansatz for Gaudin models associated with $\mathfrak{gl}(1|1)$
Nuclear Phys. B 980 (2022), Paper No. 115790, 23 pp (arXiv:2202.08162) - A note on odd reflections of super Yangian and Bethe ansatz
Lett. Math. Phys. 112 (2022), Article no.: 29 (arXiv:2111.10655) - Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra
Lett. Math. Phys. 111 (2021), Article no.: 145 (arXiv:2103.08758). - Bethe ansatz equations for orthosymplectic Lie superalgebra and self-dual superspaces
(with E. Mukhin), Annales Henri Poincaré 22 (2021), 4087–4130, (arXiv:2103.16729). - On the supersymmetric XXX spin chains associated to $\mathfrak{gl}_{1|1}$
(with E. Mukhin), Commun. Math. Phys. 386 (2021), 711–747, (arXiv:1910.13360). - Jacobi-Trudi identity and Drinfeld functor for super Yangian
(with E. Mukhin), Int. Math. Res. Not. IMRN 2021 (2021), no. 21, 16749–16808, (arXiv:2007.15573). - Perfect integrability and Gaudin models
SIGMA 16 (2020), 132, 10 pages, (arXiv:2008.06825). - Solutions of \(\mathfrak{gl}_{m|n}\) XXX Bethe ansatz equation and rational difference operators
(with Chenliang Huang, E. Mukhin), J. Phys. A: Math. Theor. 52 (2019) 375204 (31pp), (arXiv:1811.11225) - On the Gaudin model of type \(G_2\)
(with E. Mukhin), Commun. Contemp. Math. 21 (2019), no. 3, 1850012, 31 pages, (arXiv:1711.02511) - Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems
(with Gang Han, Yucheng Liu), Algebra Colloq. 26 (2019), no. 1, 123-138, (arXiv:1611.03943) - Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus
SIGMA 14 (2018), 046, 15 pages, (arXiv:1710.06534) - Self-dual Grassmannian, Wronski map, and representations of \(\mathfrak{gl}_N\), \(\mathfrak{sp}_{2r}\), \(\mathfrak{so}_{2r+1}\)
(with E. Mukhin, A. Varchenko), Pure Appl. Math. Q. 13 (2017), no.2, 291 – 335 , a special issue of in honor of Yuri Manin’s 80-th birthday, (arXiv:1705.02048) - On the Gaudin model associated to Lie algebras of classical types
(with E. Mukhin, A. Varchenko), J. Math. Phys. 57 (2016), 101703, 23 pages (arXiv:1512.08524)