Ilia Nekrasov

Symmetric Tensor Categories

• Upper bounds for measures on distal classes joint with A. Snowden [ArXiv]

• Arboreal tensor categories joint with A. Snowden and N. Harman [ArXiv]

Classification of Overgroups

• Overgroups of exterior powers of an elementary group. Normalizers joint with R. Lubkov [ArXiv]

• Overgroups of exterior powers of an elementary group. Levels joint with R. Lubkov [ArXiv]

• Explicit equations for exterior square of the general linear group joint with R. Lubkov [ArXiv]

Noetherianity of Dual Infinite Wedge

• Dual Infinite Wedge is GL_{\infty}-equivariantly noetherian [ArXiv]

Compactifications of M_{0,n}, Alexander self-dual complexes, and Polygon Spaces

• Compactifications of M_{0,n} associated with Alexander self-dual complexes: Chow ring, ψ-classes and intersection numbers joint with G. Panina [ArXiv]

• Geometric presentation for the cohomology ring of polygon spaces joint with G.Panina [ArXiv]

• Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons joint with G. Panina and A. Zhukova [ArXiv]

• Alexander  r-tuples and Bier complexes joint with G. Panina,  D. Jojić, and R. Živaljević [ArXiv]

Cyclopermutohedron

• Cyclopermutohedron: geometry and topology joint with G. Panina and A. Zhukova [ArXiv]

• Volume and lattice points counting for the cyclopermutohedron joint with G. Panina [ArXiv]

You can contact me via email at ilianekrasov at berkeley.edu or find me in Evans Hall 791.