Nicolas Garcia Trillos

Assistant Professor
Applied Mathematics
Brown University
United States of America

Professor Mathematics
Biography

.Dr. Nicolas Garcia Trillos is affiliated to Applied Mathematics, Brown University , where Dr. Nicolas Garcia Trillos is currently working as Assistant Professor. Dr. Nicolas Garcia Trillos has authored and co-authored several national and international publications and also working as a reviewer for reputed professional journals. Dr. Nicolas Garcia Trillos is having an active association with different societies and academies around the world. Dr. Nicolas Garcia Trillos made his mark in the scientific community with the contributions and widely recognition from honourable subject experts around the world. Dr. Nicolas Garcia Trillos has received several awards for the contributions to the scientific community. Dr. Nicolas Garcia Trillos major research interest involves Numerical analysis for partial differential equations; Hybridizable discontinuous Galerkin (HDG) and hybrid-mixed finite element methods; Convection-dominated problems; Computational fluid dynamics.

Research Intrest

Intersection of calculus of variations, geometric measure theory, optimal transportation ,data analysis, machine learning and statistics, convergence of solutions of minimization problems in random geometric graphs, to solutions of analogous minimization problems in the continuum.

List of Publications
Trillos NG, Slepčev D. A variational approach to the consistency of spectral clustering. Applied and Computational Harmonic Analysis. 2016 Sep 22.
Trillos NG, Slepcev D, von Brecht J, Laurent T, Bresson X. Consistency of Cheeger and ratio graph cuts. arXiv preprint arXiv:1411.6590. 2014 Nov 24.
Trillos NG, Slepčev D. Continuum limit of total variation on point clouds. Archive for Rational Mechanics and Analysis. 2016 Apr 1;220(1):193-241.