Carles Checa, postdoc

Carles is from Barcelona where he did his bachelor’s in mathematics in the Universitat Politècnica de Catalunya. After that, he completed his master’s within the ALGANT program, which allowed him to move between the Università degli studi di Padova (Italy) and Leiden University (The Netherlands).

Last June, he completed his PhD thesis in the National and Kapodistrian University of Athens (Greece) under the supervision of Ioannis Emiris. The thesis was called "Multihomogeneous and sparse polynomial systems: resultants, Gröbner, bases and regularity".

“The thesis revolved around general constructions in algebraic elimination (resultants and Gröbner bases) which can be used for solving and handling polynomial systems appearing in several areas (geometric modelling, computer vision, reaction network theory...). These systems usually come with additional structure which comes from looking at the Newton polytope of the polynomials. In the thesis, I provided novel constructions from matrices appearing in the computation of sparse resultants and I provided a description of the complexity of computing Gröbner bases in the multihomogeneous setting using multigraded analogues of the Castelnuovo-Mumford regularity”, Carles explains.

“During the postdoc, I intend to study the structure of reaction networks through the algebraic lens, that is, to use tools of complex and real algebraic geometry to study, for instance, when a reaction network admits several steady states."

You can meet Carles in office 04.2.11.