Martínez Esparza, Cristian Mauricio  |  Faculty Member Person

I am a Profesor Principal at the School of Engenieering, Science, and Technology of Universidad del Rosario in Bogotá. Before that, I was a postdoctoral fellow at Universidade Estadual de Campinas (Unicamp) in the Gauge Theory and Algebraic Geometry group of the Institute of Mathematics, Statistics and Scientific Computing under the supervision of Marcos Jardim. Before Brazil, I held several positions: I have been an instructor at Universidad del Norte in Barranquilla, a Postdoctoral Researcher at Universidad de Los Andes in Bogotá, and a Visiting Assistant Professor at the University of California, Santa Barbara under David R. Morrison. I graduated from the University of Utah in May 2015 with a PhD in Mathematics. I wrote my dissertation in Algebraic Geometry under the supervision of Aaron Bertram. I am interested in Derived Categories, Bridgeland Stability Conditions, Moduli Spaces of Sheaves, and in general, mathematics inspired by Physics. I have worked on preservation of stability under Fourier-Mukai transforms, construction of stability conditions on higher dimensional varieties and the study of the birational geometry of moduli spaces of sheaves via wall-crossing techniques.