Dr. Sergio Hernández Linares completed a bachelor's degree in Applied Mathematics at the Autonomous University of Coahuila (1990-1994), a master's degree in Mathematics at the Faculty of Sciences at UNAM (1996-1997) and a doctorate at the Faculty of Sciences at UNAM (1998-2002), with the thesis: "Critical Point Theory for Strongly Indefinite Functionals with Perturbation of Symmetries and Applications to Nonlinear Elliptic Systems."

His research work is Nonlinear Analysis applied to Nonlinear Partial Differential Equations, where questions of existence, uniqueness and multiplicity of solutions are answered as well as existence, uniqueness and multiplicity of positive solutions, solutions that change sign or solutions with symmetries.

To answer these types of questions, several areas of mathematics are used, such as Functional Analysis, Fixed Point Theory, Variational Methods, Topological Methods, Morse Theory, and Critical Point Theory among others.

His work has been oriented towards:
a) Study of the existence of an infinite number of solutions under perturbation of symmetries of a class of nonlinear elliptic differential equations.
b) Study of the existence of an infinite number of solutions of a strongly indefinite nonlinear elliptic differential equation system.
c) Study of multiplicity of solutions with change of sign for a nonlinear partial differential equation with critical exponent in a smooth domain bounded with symmetries.

He has directed terminal projects, social service projects and projects to participate in the Mexican Mathematical Society, Week of Computing and Applied Mathematics, organized every year by the Department of Applied Mathematics and Systems of the UAM Cuajimalpa, in areas such as Fixed Point Theory, Nonlinear Analysis applied to differential equations, Variational Methods, Critical Point Theory and Dynamic Systems.