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Project

An algebraic geometry perspective on conditional independence models.

The proposed research is at the interface of statistics and algebraic geometry. I will develop combinatorial, and geometric tools to study various statistical models from an algebraic viewpoint. In particular, I will focus on the study of Conditional Independence Models, Graphical Models, and
Gaussoids. I will use the developed techniques to study related applications in computer vision and rigidity theory.

Date:1 Nov 2021 →  31 Oct 2023
Keywords:Combinatorial Algebraic Geometry, Commutative Algebra, Algebraic Statistics
Disciplines:Commutative rings and algebras, Algebraic geometry