Mathematical Analysis is a very active field of research that places itself in a fundamental position within the mathematical sciences. Mathematical Analysis has many different branches and turns out to be fundamental in the understanding of several problems in the fields of combinatorics, complex variables, differential geometry, functional analysis, geometric group theory, geometric measure theory, harmonic analysis, metric geometry, operator theory, operator algebras, partial differential equations and probability (among others).

One of the features of number theory is the interplay of a great variety of mathematical techniques, including combinatorics, representation theory, harmonic analysis, probability theory, algebraic geometry, motives, p-adic and complex analytic geometry or ergodic theory, all of them applied to solve arithmetic problems. The Number Theory group works on several problems in analytic, combinatorial and algebraic number theory and in arithmetic geometry.

Group of multidisciplinary profile, highlights its experience in topics in which converges science-technology-engineering aimed at the construction sector, relying mainly on the risk-safety binomial. Its activity is developed from an analytical, numerical and experimental aspect. Long career path in cooperation with industry and the university to achieve its objectives in research, training and transfer.

Study of natural organic matter and contaminants as a source of knowledge of the evolution of ecosystems, including climate change and transport processes, distribution, transformation and effects of organic pollution in organisms and humans

Observation, experimentation and modelling of surface hydrology and erosion processes in a Global Change context. Conribution of physical hydrology to the improvement of river basin management. The hydrology of Mediterranean mountains is less understood than in more temperate or dry environments, principally because it shows, throughout the year, processes which are characteristic of wet and dry areas.

The Groundwater and Hydrogeochemistry Group (ASH) carries out research, teaching and knowledge transfer to society in the field of hydrogeology and geochemistry. It is formed by 12 tenured researchers (J. Carrera, M. Dentz, I. Queralt (ad hororem), J. Soler, E. Vàzquez, J. Cama, J. J. Hidalgo, E. Pujades, A. Jurado, M. A. Marazuela, T. Aquino, J. Martí) and more than 20 members among Ramón y Cajal researchers, postdoctoral, predoctoral and technical researchers. Many of its activities are coordinated by our Associated Unit, the Groundwater Hydrology Group of the Dept.

This research group has been working with peptides for over 25 years. The group’s main objective is the chemical synthesis of peptides with biomedical applications.

Our group explores the design, production, evaluation, and evolutionary analysis of proteins for applications in biocatalysis and the modulation of biological activity. We integrate computational methods—such as protein-ligand complex modeling and ancestral sequence reconstruction—with a comprehensive range of experimental techniques. These include in vitro directed evolution, expression in recombinant strains, and biophysical and structural analyses using circular dichroism, calorimetry, dynamic light scattering (DLS), and nuclear magnetic resonance (NMR).

The group has as an objective the study and preparation of biologically active molecules, medicinal chemistry and chemical support to projects in the biochemical, biological and biomedical fields. The specific objectives include research on photopharmacology, light control of protein activity by means of small-molecule photoswitches or photolabile caged compounds. The molecules developed have use as pharmacological tools in basic neuroscience and define novel and more precise potential therapeutic treatments for difficult-to-treat disorders.