Oriol Reig
Nationality: Spanish
Host: University of Trento
Background: Double Bachelor Degree in Mathematics and Physics in Universitat de Barcelona, Master in Advanced Mathematics in Universitat de Barcelona. |
Master thesis: Introduction to Berkovich spaces Abstract: His master thesis is a bibliographic work on Berkovich’s theory of analytic spaces over non-Archimedean fields. Berkovich spaces, introduced by Vladimir Berkovich in 1990, are a non-Archimedean analog of complex analytic spaces and play a big role in p-adic geometry and number theory. The survey explores the topological and geometrical properties of the Berkovich spectrum of a commutative complete ring, the affine space and the more general spaces, focusing on the comparison with the theories of rigid analytic spaces and schemes. |
Research interests: Algebraic Geometry, Computational Algebraic Geometry, Commutative Algebra |
PhD goals: Develop new methods and algorithms for Tensor Decomposition and implement them in Artificial Intelligence sectors. |
Hobbies: chess and mountain sports. |