BSM
Bursa Simion Mehedinți, 3BSM/2025
PN-IV-P2-2.1-BSM-2024-0022
Director proiect: Rodica Andreea Dinu
Bursa Simion Mehedinți, 3BSM/2025
PN-IV-P2-2.1-BSM-2024-0022
Director proiect: Rodica Andreea Dinu
Research topic: Geometry of Gaussian graphical models and their generalization
Expected results:
1) Proof of the conjecture proposed by M. Drton, B. Sturmfels, and S. Sullivant regarding the ML degree for Gaussian graphical models. Also, for Gaussian graphical models, I intend to study the algebraic degree of the associated varieties in the case of a cycle with a chord.
2) Study spanning tree models, which are generalizations of Gaussian graphical models. In particular, I aim to prove a result (analogous to one proven for Gaussian graphical models) related to their characterization when the ML degree is 1.
Phase I (2025): Analyze the Conjecture of Drton, Sturmfels, and Sullivant
Talk in the scientific seminar "Algebră Comutativă și Combinatorică Nicolae Radu", 25.11.2025, webpage: https://www.imar.ro/ro/seminar/33