Do Kien Hoang, Vasily Krylov, Dmytro Matvieievskyi, ``Around Hikita-Nakajima conjecture for nilpotent orbits and parabolic Slodowy varieties", arXiv:2410.20512, 88 pages.
Lucas Mason-Brown, Dmytro Matvieievskyi, Shilin Yu, ``Unipotent Representations of Complex Groups and Extended Sommers Duality", arXiv:2309.14853, 80 pages, Proceedings of the London Mathematical Society
Lucas Mason-Brown, Dmytro Matvieievskyi, ``Unipotent Ideals for Spin and Exceptional Groups", 80 pages, Journal of Algebra.
Ivan Losev, Lucas Mason-Brown, Dmytro Matvieievskyi, ``Unipotent Ideals and Harish-Chandra Bimodules", 278 pages, Annals of Mathematics Studies, to appear in early 2027.
Dmytro Matvieievskyi, ``On the affinization of a nilpotent orbit cover" , arXiv:2003.09356, 26 pages.
Dmytro Matvieievskyi, ``On invariant 1-dimensional representations of a finite W-algebra", 25 pages, Algebras and Representation Theory
"Elliptic Hall algebra by generators and relations" at the MIT-Northeastern Graduate Student Seminar on Double Affine Hecke Algebras and Elliptic Hall Algebras, Spring 2017. PDF
"Construction of moduli space of Higgs bundles and
nonabelian Hodge correspondence" at the Graduate Student Seminar on Hitchin Moduli Spaces at Yale, Fall 2020. slides
"Soergel's theorem and Soergel bimodules" at the MIT-Northeastern Graduate Student Seminar on category O and Soergel bimodules, Fall 2017 . Part 1. Part 2.
"Filtered Koszul duality" at RTG seminar on the Yangian and four-dimensional gauge theory, Fall 2018. PDF
Symplectic duality zoo in the nilpotent cone. Notes.
Spherical unitary dual via quantized symplectic singularities. Slides.
Hikita conjecture for Slodowy slices and nilpotent orbit covers. Video.
Towards the symplectic dual of nilpotent orbit covers. Video.
Extended duality and unipotent ideals. Slides.