Institution: Universidad Autónoma de Madrid
Position: ERC Contract (PreDoc)
Office: 312 Phone:+34 912999 772
I was born in 1987 in Madrid, Spain. I pursued my undergraduate studies at Universidad Autónoma de Madrid (UAM). There, I obtained a degree in Mathematics (Licenciado en Matemáticas) and another one in Computer Science (Ingeniero Superior en Informática), both in June 2010. I have also got a Master degree in Mathematics and Applications from UAM, in September 2011. My Master Thesis covered various aspects of nonhomogeneous Calderón-Zygmund theory, optimal covering lemmas and noncommutative Lp spaces.
Since 2011, I am a member of the ICMAT, holding a position funded by the European Research Council. I am currently doing my Ph.D Thesis under the supervision of Javier Parcet (ICMAT) and José García-Cuerva (UAM). My research currently focuses on the interface between nonhomogeneous Harmonic Analysis, martingale theory and von Neumann Algebras. In particular, I use powerful techniques from Probability theory, measure theory and dyadic Harmonic Analysis to study generalizations of the boundedness properties of Singular Integral Operators to highly noneuclidean contexts in which most of the classical methods of proof do not apply. I have spent two months at Wayne State University (Detroit, USA) working under the supervision of Professor Tao Mei as part of my training.
During my last undergraduate year, I worked for the Information Retrieval (IR) research group at Escuela Politécnica Superior (UAM). My research there focused on the use of social annotations to infer user intent in the context of web search engines. I have also several publications in the field of technology-assisted Education and e-learning. I am interested in divulgative activities which are related to Mathematics, having participated and/or co-organised different courses and workshops for high school students and professors. I serve as a honorary teaching assistant for the Mathematics Department at UAM since September, 2010.
Noncommutative Lp spaces
Geometric measure theory