Research groups

Research groups in the Department of Mathematics and Computer Science

Anàlisi Complexa

 

Members: Carme Cascante, Konstantin Dyakonov, Jordi Marzo, Xavier Massaneda, Joaquim Ortega, Jordi Pau, Martí Prats; Estudiants de doctorat: Victor de la Torre

Description: At the Complex Analysis group we work with problems of holomorphic functions in one and several complex variables as well as with problems of harmonic analysis, potential theory and operator theory that appear naturally when studying classical function theory problems. Lately, we have started a new line of research around the random point processes that appear when modeling repulsive particles.

Anàlisi Estocàstica

Members: Carme Florit, David Márquez, Carles Rovira.

Description: One of our main fields of research is the study of stochastic differential equations: stability problems, stochastic differential equations, delayed or reflected, driven by fractional noise and a type of delayed stochastic models applied to biological models. The other line of research is devoted to problems of almost certain convergence towards Gaussian processes.

Anàlisi Estocàstica i Finances Quantitatives

garf Members: José Manuel Corcuera, Marta Sanz-Solé , Josep Vives; External members: Elisa Alòs (UPF), Luis Ortiz (UB, Facultat d’Economia i Empresa), Rafael de Santiago (IESE); PhD Students: Omar F. Arias, Augusto Blanc Blocquel, David Garcia-Lorite, Adrián Hinojosa, Zororo S. Makumbe, ; Postdocs: Mishari Alforaih

Web:https://www.ub.edu/probabilitats-seminaribcn/Seminaris.html

Description: The group develops its research in the field of Quantitative Finance using stochastic analysis techniques (Gaussian processes, Lévy processes, martingale theory, Itô calculus, Malliavin calculus, stochastic differential equations, stochastic partial derivative equations, etc.) and numerical methods (Monte Carlo simulation, Machine learning, Wavelets, etc.). Addresses financial problems using stochastic volatility jump-diffusion models. In particular, problems like pricing and hedging of financial derivatives, market modelling, risk modelling, computation of sensitivities, description of volatility surfaces, and others.

Artificial Intelligence in Medicine Lab (BCN-AIM)

Members: Karim Lekadir (contact person), Polyxeni Gkontra, Oliver Díaz, Cecilia Judmann, Catherine Gallin, Xènia Puig Bosch, Jamilia Arykbaeva, Paloma Fernández Torres, Angélica Atehortua, Víctor Campello Román, Noussair Lazrak, Kaisar Kushibar, Esmeralda Ruiz Pujadas, Dimitri Kessler, Liaqat Ali, Ilia Stepin, Carlos Martín-Isla, Grzegorz Skorupko, Joan Perramon, Lidia Garrucho Moras, Richard Osuala, Smriti Joshi, Vien Dang Ngoc, Zuzanna Szafranowska, Socayna Jouide El Kaderi, Marina Camacho.

Web:https://www.bcn-aim.org/

Description: The Artificial Intelligence in Medicine Lab (BCN-AIM) develops new artificial intelligence solutions for personalised medicine applications in various medical fields such as cardiology, oncology, maternal health, neurology and psychiatry. The lab focuses on integrative data sciences approaches for analysing multi-source and multi-centre biomedical data, including imaging, biological, environmental, clinical and mobile data. It is leading several large-scale international projects, including EarlyCause, EuCanImage, DataTools4Heart and RadioVal. The lab is also part of other large-scale international projects such as LongITools, Youth-GEMs, HappyMums and AI4HF. BCN-AIM comprises an international, multi-disciplinary and dynamic team of 26 members, with expertise in mathematics, computer science, biomedical engineering, software development and project management.

BCNLOGIC

Members: Joan Bagaria , Enrique Casanovas , Rafael Farré, Joost Joosten, Juan Carlos Martínez; Postdoctoral researchers: Philipp Lücke, Claudio Ternullo; Doctoral students: Marwan Mohammd, Ana de Almeida Borges, Esperanza Buitrago Díaz, Petia Guintchev Toneva, Damiano Fornasiere.

Description: The Barcelona Logic Group, based at UB, is a Consolidated Research Group (GRC) funded by the Generalitat de Catalunya (Catalan Government) since 2002. The Group is currently composed of 5 professors, 2 postdoctoral researchers, and 4 doctoral students. The Group works on Mathematical Logic (model theory, proof theory, and set theory) and its applications. Its scientific output over the last 5 years comprises more than 30 research articles in leading journals in logic and mathematics, plus several book chapters and edited volumes; more than 500.000 Euros obtained competitively from funding institutions, including 4 predoctoral fellowships, a postdoctoral Beatriu de Pinós fellowship, and a postdoctoral MSC fellowship; 3 doctoral theses, plus 5 more on the way; and more than 40 invited talks in international conferences and meetings. 

Equacions en derivades parcials

Members: Albert Clop, Gyula Csato, María Ángeles García Ferrero, Martí Prats, Xavier Ros Oton, Marvin Weidner (postdoc), Damià Torres-Latorre (PhD student).

Web:https://www.ub.edu/pde/

Description: Our research interests focus on the analysis of Partial Derivative Equations (EDPs). We study a wide variety of problems, including: fluid mechanics, elliptic equations, functional and geometric inequalities, or spectral problems, combining techniques of variational analysis, harmonic analysis, geometric theory of measurement.

GAIAC: Geometria Algebraica i Àlgebra Commutativa

Members: Eduard Casas Alvero, Carlos D’Andrea, Martí Lahoz (persona de contacte), Maria Eulàlia Montoro, Ignasi Mundet i Riera, Joan Carles Naranjo, Martín Sombra. Junior Members: Jordi Daura Serrano, Amrutha Nair Balachandran, Andrés Rojas González.

Web:http://www.ub.edu/gaiac/

Description: Our group is aimed to the study of problems in Mathematics within the areas of Linear, Algebraic and Differential Geometry, not only in its theoretical aspects but also focusing in computational features and in applications. To be more precise, we will deal with important questions in diverse topics such as gauge theories, abelian varieties, stability conditions in triangulated categories, Arakelov geometry, reconstruction of shapes starting from clouds of points, elimination theory, lattices in Linear Algebra, and singularities of plane curves.

learninG, pRocessing And oPtimising shapES (GRAPES)

Members: Carlos D’Andrea, Juan Carlos Naranjo, Anna Puig, Maria Salamó, Amrutha Balachandran Nair, Thanasis Zoumpekas.

Web:https://www.ub.edu/grapes/

Description: “GRAPES“ aims at considerably advancing the state of the art in Mathematics, Computer-Aided Design, and Machine Learning in order to promote game changing approaches for generating, optimising, and learning 3D shapes, along with a multisectoral training for young researchers. “GRAPES“ has been submitted under the H2020-MSCA-ITN-2019 call and is part of the Marie Sklodowska-Curie Actions — Innovative Training Networks (ITN) funding scheme. Its grant agreement number is 860843.

Grup de Sistemes Dinàmics

Members: Núria Fagella, Ernest Fontich, Gerard Gómez, Alex Haro, Angel Jorba, Begoña Nicolás (PhD student), Joan Carles Tatjer, Arturo Vieiro,..

Web: http://www.maia.ub.es/dsg/

Description: The research of the group revolves around the study of dynamical systems both from a theoretical point of view and computational, including applications to other sciences. The main research lines are the study of Hamiltonian systems and systems non-conservative, both in low and infinite dimension (including also continuous and discrete cases). Special emphasis is placed on celestial mechanics and astrodynamics.

Teoria de Nombres

Members: Teresa Crespo, Luis Dieulefait, Francesc Fité, Enric Florit, Xavier Guitart, Ignasi Sanchez, Artur Travesa.

Description: In the number theory research group we work in arithmetic problems related to diophantine equations (such as Fermat-type equacions), elliptic curves and abelian varieties as well as their relation to automorphic forms via the Langlands program. We also have a research line in differential Galois theory and Hopf Galois theory.

Topologia

Members: Carles Casacuberta, Joana Cirici, Javier Gutiérrez, Bashar Saleh, David Martínez.

Web:http://www.ub.edu/topologia/index.html

Description: The main research lines of the Topology Research Group include the study of operadic algebras, higher categories and higher operads as well as and the development of homotopical methods to address open questions on the geometry and topology of complex and almost complex manifolds. We also combine techniques from simplicial homotopy and topological data analysis.