# Homepage

### 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)