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Theory, use and applications of Discrete Morse Theory

Monday, September 2, 13:00 hrs.

Jesús González Espino Barros

Centro de Investigación y de Estudios Avanzados, Mexico

Abstract: In this talk I will make an outline of the central ideas in Discrete Morse Theory and I will describe various problems, both theoretical (algebraic topology) and applied (topological data analysis), in which the use of this theory has been successful.

Semblance: He completed his studies in Mathematics with a Doctorate (Ph.D in Algebraic Topology) and Master's degree from the University of Rochester, and bachelor's degree from Escuela Superior de Física y Matemáticas at IPN. He works in the Department of Mathematics at Cinvestav since June 1994, where he conducts research in Topology, Geometry, Algebra and Homotopy theory, as well as its application in Robotics and Big Data Analysis. He has directed 32 theses (11 doctoral thesis, 14 Master's Thesis and 7 bachelor's thesis), currently supervising a doctoral thesis and a master's thesis. He has published more than 50 original research articles in prestigious international journals. He is a member of the Editorial Board of the Bulletin of the Mexican Mathematical Society and Aportaciones Matemáticas. He is the editor of the book Recent Developments in Algebraic Topology (Contemporary Mathematics 407, of the American Mathematical Society). He has participated in more than 120 congresses and conferences in his specialty, being a plenary speaker in 10 of them. He has been a member of the organizing committees of 12 academic events, both research and training of specialized human resources.

He has also been visitor researcher at the Max Planck Institute for Mathematics and the Institute for Mathematical Research (located respectively in Bonn and Oberwolfach, Germany), at the Swiss Federal Institute of Technology (Zurich, Switzerland), the University of Warwick, the University of Durham and the University of Edinburgh (located respectively in Coventry, Durham and Edinburgh, UK), at the Mathematical Research Centre and Universidad de La Laguna (located respectively in Barcelona and the Canary Islands, Spain), at the Center for Research in Mathematics (CIMAT, Guanajuato, Mexico), and at the following universities in the United States: University of Scranton (Scranton PA), Rutgers University (Piscataway NJ), Lehigh University (Bethlehem PA), University of Rochester (Rochester NY), and Loyola University (New Orleans LA). He is a member of the Mexican Academy of Sciences, of the National System of Researchers (SNII Level III), of the Evaluation Commission of the Center for Mathematical Sciences at UNAM for the PRIDE program (2016-2018), and of the Evaluation Commission of Research Projects in the area of Physics and Mathematics of CONACYT (2011, 2012, 2014).