Publications
Representation-theoretic symplectic geometry
Universal families of twisted cotangent bundles
Preprint (2023). ArXiv link
Hessenberg varieties and Poisson slices (with M. Roeser)
Contemporary Mathematics of the AMS 790 (2023), 25-57. Journal website link
Symplectic reduction along a submanifold (with M. Mayrand)
Compositio Mathematica 158 (2022), no. 9, 1878-1934. Journal website link
The log symplectic geometry of Poisson slices (with M. Roeser)
Journal of Symplectic Geometry 20 (2022), no. 1, 135-190. Journal website link
Perverse sheaves and the cohomology of regular Hessenberg varieties (with A. Balibanu)
Transformation Groups. To appear. Journal website link
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
Kostant–Toda lattices and the universal centralizer
Journal of Geometry and Physics 150 (2020), 16pp. Journal website link
Hessenberg varieties, Slodowy slices, and integrable systems (with H. Abe)
Mathematische Zeitschrift 291 (2019), no. 3–4, 1093–1132. Journal website link
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
Abelianization and the Duistermaat-Heckman theorem (with J. Weitsman)
Bulletin of the London Mathematical Society 55 (2023), no. 6, 2732-2742. Journal website link
On the singularities of Mishchenko-Fomenko systems (with M. Roeser)
Transformation Groups. 28 (2023), no. 4, 1477-1494. Journal website link
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
Gelfand-Cetlin abelianizations of symplectic quotients (with J. Weitsman)
Preprint (2022). ArXiv link
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
On the fibres of Mishchenko–Fomenko systems (with M. Roeser)
Documenta Mathematica 25 (2020), 1195–1239. Journal website link
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
Complex adjoint orbits in Lie theory and geometry
Expositiones Mathematicae 37 (2019), no. 2, 104–144. Journal website link
An equivariant description of certain holomorphic symplectic varieties
Bulletin of the Australian Mathematical Society 97 (2018), no. 2, 207–214. Journal website link
Hessenberg varieties for the minimal nilpotent orbit (with H. Abe)
Pure and Applied Mathematics Quarterly 12 (2016), no. 2, 183–223. Journal website link
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
Properties of nilpotent orbit complexification
Journal of Generalized Lie Theory and Applications, no. S2, Art. ID 012, 6 pp. ArXiv link
Generalized equivariant cohomology and stratifications (with T. Holden)
Canadian Mathematical Bulletin 59 (2016), no. 3, 483–496. Journal website link
The torus-equivariant cohomology of nilpotent orbits
Journal of Lie Theory 25 (2015), no. 4, 1073–1087. Journal website link
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