We study the rank N magnificent four theory, which is the supersymmetric localization of U
(N) super-Yang–Mills theory with matter (a super-group U (N| N) gauge theory) on a Calabi …

This paper surveys tropical modifications, which have already become folklore in tropical
geometry. Tropical modifications are used in tropical intersection theory and in a study of …

In this thesis, tropical methods in singularity theory and legendrian geometry are developed;
tropical modifications are surveyed and several technical statements about them are proven …

This paper answers the question: what coverings over a topological torus can be induced
from a covering over a space of dimension k? The answer to this question is then applied in …

This thesis is devoted to application of topological ideas to Galois theory. In the first part we
obtain a characterization of branching data that guarantee that a regular mapping from a …