The Organizing Committee of the 34st Interuniversity Mathematical Sciences Research Seminar (SIDIM) to be held on March 1st and 2nd, 2019 at the University of Puerto Rico in Humacao, invites interested parties to submit abstracts for presentations, posters or mini symposium. The 2019 SIDIM will be dedicated to the memory of our colleague Dr. Francis Castro, a very prominent Puerto Rican mathematician that passed away recently, and who distinguished himself for his contributions in exponential sums and L-functions over finite fields. The three plenary talks and several parallel sessions on the afternoon of Friday March 1st, will be on topics related to Francis's work and collaborations. On Saturday March 2nd we will have as usual parallel sessions on different topics in Mathematics, Applied Mathematics, Statistics, Computer Science, Financial Mathematics, Mathematical Education and related areas.