Representation-theoretic symplectic geometry
28. Universal families of twisted cotangent bundles
To appear in Proceedings of the American Mathematical Society. DOI: 10.1090/proc/17499. ArXiv link
27. Grothendieck-Springer resolutions and TQFTs (with M. Mayrand)
Preprint (2025). ArXiv link
26. Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory (with X. Gao, M. Pound, and C. Thompson)
To appear in Springer INdAM volume for Poisson 2024 (2025). ArXiv link
25. The Moore-Tachikawa conjecture via shifted symplectic geometry (with M. Mayrand)
Preprint (2024). ArXiv link
24. Scheme-theoretic coisotropic reduction (with M. Mayrand)
Preprint (2024). ArXiv link
23. Perverse sheaves and the cohomology of regular Hessenberg varieties (with A. Balibanu)
Transformation Groups 29 (2024), no. 3, 909-933. Journal website link
22. Hessenberg varieties and Poisson slices (with M. Roeser)
Contemporary Mathematics of the AMS 790 (2023), 25-57. Journal website link
21. Symplectic reduction along a submanifold (with M. Mayrand)
Compositio Mathematica 158 (2022), no. 9, 1878-1934. Journal website link
20. The log symplectic geometry of Poisson slices (with M. Roeser)
Journal of Symplectic Geometry 20 (2022), no. 1, 135-190. Journal website link
19. An application of spherical geometry to hyperkahler slices (with M. van Pruijssen)
Canadian Journal of Mathematics 73 (2021), no. 3, 687–716. Journal website link
18. Kostant–Toda lattices and the universal centralizer
Journal of Geometry and Physics 150 (2020), 16pp. Journal website link
17. Hessenberg varieties, Slodowy slices, and integrable systems (with H. Abe)
Mathematische Zeitschrift 291 (2019), no. 3–4, 1093–1132. Journal website link
16. Abstract integrable systems on hyperkahler manifolds arising from Slodowy slices (with S. Rayan)
Mathematical Research Letters 26 (2019), no. 1, 9–33. Journal website link
Integrable systems and geometric quantization
15. Gelfand-Cetlin abelianizations of symplectic quotients (with J. Weitsman)
Pacific Journal of Mathematics 333 (2024), no. 2, 253-271. Journal website link
14. Abelianization and the Duistermaat-Heckman theorem (with J. Weitsman)
Bulletin of the London Mathematical Society 55 (2023), no. 6, 2732-2742. Journal website link
13. On the singularities of Mishchenko-Fomenko systems (with M. Roeser)
Transformation Groups. 28 (2023), no. 4, 1477-1494. Journal website link
12. The double Gelfand-Cetlin system, invariance of polarization, and the Peter-Weyl theorem (with J. Weitsman)
Journal of Geometry and Physics 194 (2023). Special issue for the conference Poisson 2022. Journal website link
11. Towards a quantization of the double via the enhanced symplectic category (with J. Weitsman)
Research in the Mathematical Sciences 8 (2021), article no. 32, 51pp. Journal website link
10. On the fibres of Mishchenko–Fomenko systems (with M. Roeser)
Documenta Mathematica 25 (2020), 1195–1239. Journal website link
9. Slodowy slices and the complete integrability of Mishchenko-Fomenko subalgebras on regular adjoint orbits (with S. Rosemann and M. Roeser)
Preprint (2018). ArXiv link
The geometry of adjoint orbits
8. Complex adjoint orbits in Lie theory and geometry
Expositiones Mathematicae 37 (2019), no. 2, 104–144. Journal website link
7. An equivariant description of certain holomorphic symplectic varieties
Bulletin of the Australian Mathematical Society 97 (2018), no. 2, 207–214. Journal website link
6. Hessenberg varieties for the minimal nilpotent orbit (with H. Abe)
Pure and Applied Mathematics Quarterly 12 (2016), no. 2, 183–223. Journal website link
5. Some results on equivariant contact geometry for partial flag varieties (with S. Rayan)
International Journal of Mathematics 27 (2016), no. 8, 1650066, 13pp. Journal website link
4. Properties of nilpotent orbit complexification
Journal of Generalized Lie Theory and Applications, no. S2, Art. ID 012, 6 pp. ArXiv link
3. Generalized equivariant cohomology and stratifications (with T. Holden)
Canadian Mathematical Bulletin 59 (2016), no. 3, 483–496. Journal website link
2. The torus-equivariant cohomology of nilpotent orbits
Journal of Lie Theory 25 (2015), no. 4, 1073–1087. Journal website link
1. On projective equivalence of univariate polynomial subspaces (with R. Milson)
SIGMA. Symmetry, Integrability, and Geometry. Methods and Applications. 5 (2009), Paper 107. Journal website link