Stability Study and Conservative Numerical Methods for the High Order Schrödinger Equation is the title of the thesis with which Rodrigo Véjar Asem obtained the degree of Doctor of Applied Sciences with a minor in Mathematical Engineering from the Universidad de Concepción, UdeC. 

This research work, successfully defended in December 2019, was directed by Dr. Mauricio Sepúlveda Cortés, a member of the Center for Research in Mathematical Engineering, CI²MA, for whom Rodrigo was later Research Assistant, for which he keeps until currently a regular relationship of scientific collaboration with him and other researchers, both from the UdeC and from other institutions. In addition, he served as a reviewer for the publications of the American Mathematical Society, a role that is unpaid, but allows him to stay abreast of the latest trends at the frontier of knowledge in this area. 

Véjar was able to combine the above with university teaching activities, both at the UdeC itself, as well as at the Universidad del Bío-Bío and the U. de Las Américas, until, at the beginning of present semester, he moved to the Coquimbo Region to integrate as an academician at the Department of Mathematics of the Faculty of Sciences of the Universidad de La Serena, where he will teach the courses of Algebra and Numerical Methods. 

“In addition, I have already been entrusted with courses for the Faculty of Engineering in the first year for this semester and I also believe that this is a good opportunity to continue advancing in terms of research, resume contact with my Ph.D. tutor from Brazil, Dr. Marcelo Moreira Cavalcanti, and also with his students, because now I will have time dedicated to these functions”, Rodrigo explains. “I am very happy and excited and I want to take advantage of the opportunity that is being given to me”, he details about this position that, in formal terms, corresponds to a contract for two years, but which is then renewable, once certain performance parameters have been met. 

Regarding the postgraduate course, Rodrigo details that “I join the faculty of the Master's program in Mathematics, which is currently undergoing a renewal of the curriculum, in an update of the contents, so it is also a nice challenge, to be able to contribute in that area”, he emphasizes.