陆康博士的主要研究领域集中在表示论、量子代数以及数学物理。他的具体研究兴趣包括：

1. 量子仿射代数与杨代数（Yangians）

2. 仿射 i量子群与扭杨代数（Twisted Yangians / iYangians）

3. 有限 W-代数

4. 仿射格拉斯曼流形（Affine Grassmannian）与库仑支（Coulomb branches）

5. Bethe ansatz 与量子可积系统（如 Gaudin 模型与 XXX、XXZ 自旋链）

代表作

1. Shifted twisted Yangians and finite W-algebras of classical type (with Yung-Ning Peng, Lukas Tappeiner, Lewis Topley and Weiqiang Wang), (arXiv:2505.03316)
2. Shifted twisted Yangians and affine Grassmannian islices (with Weiqiang Wang and Alex Weekes), (arXiv:2510.10652)
3. Minimalistic presentation and Coideal structure of twisted Yangians
   Communications in Mathematical Physics 407 (2026), no. 5, article no. 99, (arXiv:2511.07136)
4. Affine iquantum groups and twisted Yangians in Drinfeld presentations (with Weiqiang Wang and Weinan Zhang)
   Communications in Mathematical Physics 406 (2025), no. 5, article no. 98, (arXiv:2406.05067)
5. A Drinfeld type presentation of twisted Yangians (with Weiqiang Wang and Weinan Zhang)
   Representation Theory 29 (2025), 838-870, (arXiv:2308.12254)
6. On the supersymmetric XXX spin chains associated to  (with E. Mukhin)
   Communications in Mathematical Physics 386 (2021), 711–747, (arXiv:1910.13360)

预印本

1. Shifted affine iquantum groups of quasi-split ADE types
   (withWeiqiang Wang andAlex Weekes),(arXiv:2603.28446)
2. Representations of shifted super Yangians and finite $\mathcal W$-superalgebras of type A
   (withYung-Ning Peng),(arXiv:2603.07541)
3. Shifted twisted Yangians and affine Grassmannian islices
   (withWeiqiang Wang andAlex Weekes),(arXiv:2510.10652)
4. Shifted twisted Yangians of quasi-split ADE types
   (withWeiqiang Wang andAlex Weekes),(arXiv:2512.19998)
5. Shifted twisted Yangians and finite $\mathcal W$-algebras of classical type
   (withYung-Ning Peng,Lukas Tappeiner,Lewis Topley andWeiqiang Wang),(arXiv:2505.03316)
6. Twisted super Yangian of quasi-split type A

已发表

1. A Drinfeld type presentation of twisted Yangians of quasi-split type (with Weinan Zhang)
   Communications in Contemporary Mathematics, (arXiv:2408.06981)
   
2. Minimalistic presentation and Coideal structure of twisted Yangians
Communications in Mathematical Physics 407 (2026), no. 5, article no. 99, (arXiv:2511.07136)
3. A Drinfeld type presentation of twisted Yangians (with Weiqiang Wang and Weinan Zhang),
   Representation Theory 29 (2025), 838-870, (arXiv:2308.12254)
4. Twisted super Yangians of type AIII and their representations
   Journal of Algebra 678 (2025), pp. 74-132, (arXiv:2311.16373)
5. Affine quantum groups and twisted Yangians in Drinfeld presentations (with Weiqiang Wang and Weinan Zhang)
   Communications in Mathematical Physics 406 (2025), no. 5, article no. 98, (arXiv:2406.05067)
6. Isomorphism between twisted -Yangians and affine quantum groups: type AI
   International Mathematics Research Notices, 2024 (2024), no. 24, pp. 14519-14542 (arXiv:2308.12484)
7. On Bethe eigenvectors and higher transfer matrices for supersymmetric spin chains
   Journal of High Energy Physics 04 (2023), Article number: 120, (arXiv:2209.14416)
8. Schur-Weyl duality for quantum toroidal superalgebras
   Journal of Pure and Applied Algebra 227 (2023), no. 9, 107382, (arXiv:2109.09005)
9. Completeness of Bethe ansatz for Gaudin models associated with 
   Nuclear Physics B 980 (2022), Paper No. 115790, 23 pp (arXiv:2202.08162)
10. A note on odd reflections of super Yangian and Bethe ansatz
    Letters in Mathematical Physics 112 (2022), Article no.: 29 (arXiv:2111.10655)
11. Gelfand-Tsetlin bases of representations for super Yangian and quantum affine superalgebra
    Letters in Mathematical Physics 111 (2021), Article no.: 145 (arXiv:2103.08758).
12. Bethe ansatz equations for orthosymplectic Lie superalgebra and self-dual superspaces (with E. Mukhin)
    Annales Henri Poincaré 22 (2021), 4087–4130, (arXiv:2103.16729).
13. On the supersymmetric XXX spin chains associated to  (with E. Mukhin)
    Communications in Mathematical Physics 386 (2021), 711–747, (arXiv:1910.13360).
14. Jacobi-Trudi identity and Drinfeld functor for super Yangian (with E. Mukhin)
    International Mathematics Research Notices 2021 (2021), no. 21, 16749–16808, (arXiv:2007.15573).
15. Perfect integrability and Gaudin models
    Symmetry, Integrability and Geometry: Methods and Applications 16 (2020), 132, 10 pages, (arXiv:2008.06825).
16. Solutions of  XXX Bethe ansatz equation and rational difference operators (with Chenliang Huang, E. Mukhin)
    Journal of Physics A: Mathematical and Theoretical 52 (2019) 375204 (31pp), (arXiv:1811.11225)
17. On the Gaudin model of type  (with E. Mukhin)
    Communications in Contemporary Mathematics 21 (2019), no. 3, 1850012, 31 pages, (arXiv:1711.02511)
18. Multiplicity free gradings on semisimple Lie and Jordan algebras and skew root systems (with Gang Han, Yucheng Liu)
    Algebra Colloquium 26 (2019), no. 1, 123-138, (arXiv:1611.03943)
19. Lower bounds for numbers of real self-dual spaces in problems of Schubert calculus
    Symmetry, Integrability and Geometry: Methods and Applications 14 (2018), 046, 15 pages, (arXiv:1710.06534)
20. Self-dual Grassmannian, Wronski map, and representations of , ,  (with E. Mukhin, A. Varchenko)
    Pure and Applied Mathematics Quarterly 13 (2017), no.2, 291 – 335 , a special issue in honor of Yuri Manin’s 80-th birthday, (arXiv:1705.02048)
21. On the Gaudin model associated to Lie algebras of classical types (with E. Mukhin, A. Varchenko)
    Journal of Mathematical Physics 57 (2016), 101703, 23 pages (arXiv:1512.08524)