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Yury Ustinovskiy

Princeton

PhD student at Princeton

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Top Questions

Positive Hermitian-Einstein metrics on stable vector bundles

dg.differential-geometry complex-geometry kahler-manifolds asked Oct 4 '16 at 21:08

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Graphs with prescribed numbers of k-cliques

co.combinatorics graph-theory discrete-geometry asked May 31 '16 at 20:01

mathoverflow.net

Hard Lefschetz property and Moishezon manifolds

ag.algebraic-geometry complex-geometry asked Jul 18 '17 at 22:30

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Chern-Einstein metrics on complex Hermitian manifolds

dg.differential-geometry complex-geometry asked Apr 15 '16 at 2:37

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Pinching of an ODE on a simple Lie algebra

dg.differential-geometry ca.analysis-and-odes lie-algebras asked Feb 25 '17 at 1:11

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Top Answers

What are the important geometric-topological consequences of 4-dimensional version of Gauss-Bonnet-Chern theorem?

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Is there any relationship between the topologies of the clique complex and the independence complex?

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Stiefel-Whitney classes of tensor product $\xi^m \otimes \eta^n$, computation

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Examples of compact complex non-Kähler manifolds which satisfy $h^{p,q} = h^{q,p}$

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Kähler forms arising as the curvature form of a singular metric on a line bundle

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$\text{GL}(n + k, \mathbb{R})$ is a principal $H$ bundle over the Grassmann manifold $G_n(\mathbb{R}^{n+k})$?

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$n + 1 = 2^rm$ with $m$ odd $\implies$ do not exist $2^r$ vector fields on $\mathbb{P}^n$ that are everywhere linearly independent?

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Atiyah-sequence-like definition of connection on vector bundles?

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Geodesics on Homogeneous Spaces of $SU(n)$

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Submanifold of a Lie group whose tangent bundle is invariant under group (left) action

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