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| Déev Rodion N |
differential and complex geometry:
* geometry of knot spaces (since 2015);
* application of period spaces to the hyperkähler geometry and Hodge structures theory (since 2016);
* Gromov's yoga between convex and Kähler geometry;
* application of Harvey-Lawson theorem to the Bogomolov-Yau problem;
* geometry of neighborhoods of the diagonal in the products of conjugate manifolds.
algebra:
* Leibniz algebras and noncommutative geometry;
* Chern-Weil-Petrov theory for cristalline cohomology;
* Galois theory in Bogomolov's sense;
* motives through measures.
