The purpose of this document is to give a general overview of the Mathematics
Department of the
Universitat Autònoma de Barcelona (UAB). It contains the following sections: 
General Structure 
Undergraduate studies 
Master programmes and other activities 
Doctoral Program in Mathematics 
Research groups and research projects 
Research networks 
Visiting programme, meetings, workshops 
Mathematical consulting 
Publications 
Facilities 
List of recent publications 
General Structure 
The faculty staff of the department consists currently of 53 professors with
Ph.D. degrees in Mathematics or Physics, 24 lecturers/instructors and
25 graduate students or fellow grants. It is ruled by a board consisting
presently of

The government of the department corresponds to the Department Council, which must approve the proposals made by the board or the different specific committees. These include the Executive committee, the Staff committee and the Teaching committee. 
Concerning Research administration, the department is structured in five units

Master programmes and other activities 
The department offers three master programmes. 
The master programme "Mathematics for teachers" offers, since 1993, specialised formation for high school mathematics teachers to update their mathematical education. It provides a convenient link between university mathematics and secondary or high school mathematics as well, since a high amount of bachelors in mathematics find jobs as teachers at schools. 
The master programme "Mathematics for the financial instruments" offers, since 1998, specialised formation in financial mathematics. Including practical training in the stock market and banks, it provides the student with the modern mathematical techniques used for the evaluation of financial risks, pricing of options and portfolio optimisation. 
The master programme "Mathematics for the company and the industry" has started in the academic year 19992000. Its aim is to provide a solid foundation in the different mathematical techniques and software used in many industrial and economical sectors of production. At the institutional level, another important aim is the development of Industrial Mathematics, both in the research and teaching aspects. As the previous one, this master degree includes practical training in companies, mostly in the neighbouring Technology Park of Vallès, with more than one hundred companies dedicated to new technologies. 
Other activities are organized at the graduate level, some of them not strictly academic, such as the courses "Introduction to Bridge" and "Advanced course on Bridge". 
Research groups and research projects  
There are 11 consolidated research groups in the department, developing a number of research projects supported by public and competitive funding. A list follows with the main keywords, the titles of the "living" research projects, and the name of the professor in charge. Every group runs a weekly seminar through all the academic year.  
Research group in Ring Theory. Keywords: von Neuman regular rings, semilocal rings, operator algebras, Ktheory, real rank, FIR's. Projects: "Non stable Ktheory and applications to module categories", "Projective modules over certain classes of rings". Dr. Pere Ara. 

Research group in Algebraic and Arithmetic Geometry. Keywords: elliptic curves, modular curves, formal groups, Neron models, abelian manifolds, coding theories. Projects: "Arithmetic of varieties over finite fields", "Padic methods in algebraic and arithmetic geometry", "Applications to coding theory", "Arithmetic of modular curves". Dr. Enric Nart. 

Research group in Geometrical Group Theory. Keywords: group actions, CWcomplexes, lowdimensional spaces, Kleinian groups, fractal curves. Projects: "Group actions in CWcomplexes of low dimension", "Geometrisation of threedimensional manifolds", "Fixed groups of free groups of endomorphisms". Dr. Warren Dicks. 



Research group in Function theory. Keywords: differentiability properties, CauchyRiemann equations, harmonic functions, harmonic measure, potentials, Brownian motion, BMO. Projects: "Complex analysis in one or several variables", "Algebraic aspects, singularities, regularity and invariant problems in complex analysis". Dr. Joaquim Bruna. 

Research group in Harmonic and Complex Analysis. Keywords:Cauchy integral, Hardy and Bergman spaces, rectifiable curves, Riesz and Bessel potentials, quasiconformal mappings. Projects: "The Cauchy integral, analytic capacity, and approximation", "Analysis in pseudoconvex domains". Dr. Joan Verdera. 





Research group in Stochastic Analysis. Keywords: stochastic differential equations, Ito's formula, BlackScholes formula, stochastic integrals, future options, Ustatistics. Projects: "NonBrownian anticipating stochastic calculus". Dr. Frederic Utzet. Web page of Stochastic Analysis: http://orfeu.mat.ub.es/~gaesto/welcome.htm 

Research group in Mathematical Statistics. Keywords: exponential models, generalised linear models, likelihood adjustment, simulation, reliability. Projects: "Multivariate and computational statistical analysis". Dr. Joan del Castillo. 



Research group in Algebraic Topology. Keywords: Steenrod algebra, CWcomplexes, nilpotent groups, pcompact groups, homotopic limits, localisation, spectral sequences. Projects: "Homotopic theory of Lie groups", "Homological and homotopical localisation", "Cohomological methods in unstable homotopy". Dr. Jaume Aguade. Web page of Algebraic Topology: 

Research group in Differential Geometry. Keywords: Riemann metrics, differentiable and complex manifolds, foliations, deformations, hyperbolic geometry, relativity, integral geometry. Projects: "Geometric theory of foliations", "Singularities of holomorphic foliations". Dr. Joan Girbau. 



Research group in Dynamical Systems. Keywords: dynamical systems, periodic orbits, attractors, stability, Poincare map, qualitative theory, Mandelbrot set, fractals, celestial mechanics, iteration. Projects: "Qualitative theory of dynamical systems with emphasis on periodic orbits". Dr. Jaume Llibre. Web page of Dynamical Systems: 

Research group in Partial Differential Equations. Keywords: semilinear equations, positive semigroups, population dynamics, mathematical models for biology, infinite dimensional dynamical systems. Projects: "Partial differential equations and dynamical systems". Dr. Angel Calsina. 



Research group in Mathematical Education. Keywords: didactic system, mathematical and didactic praxeologies, mathematical organization, didactic contract, anthropological approach. Projects: "Integration of research approaches in didactics of mathematics", "The algebraization process in school mathematics. The algebraic modelling of secundary education and the transition to University". Dr. Josep Gascón. 
Visiting programme, meetings, workshops 
The Department of Mathematics, together with the nearby
Centre de Recerca Matemàtica (CRM), coordinates the yearly
visiting program and some of the international events of this organism. The CRM is a mathematical research institute belonging
to the "Institut d'Estudis Catalans", with no permanent faculty, which hosts foreign visitors for mid term or long term
periods to encourage research collaboration with local professors. Through an agreement with the Universitat Autònoma de
Barcelona, the CRM is located near the Mathematics Department since 1984. An average of 45 foreign professors visit each year the
CRM and the department. The list of visitors for 19992000 is the following:

Publications 
The department has its own preprint series and has published since 1979 a mathematical research journal of general scope,
Publicacions Matemàtiques, a volume (two issues) per year. The editorial board consists of

List of recent publications 
See the list extracted from MathSciNet. (You must have authorised access from your computer.) 
Departament de
Matemàtiques Edifici C Universitat Autònoma de Barcelona 08193 Bellaterra (Barcelona) Spain Tel.: +34 93 581 1304 / +34 93 581 1137 Fax: +34 93 581 2790 Email address: d.matematiques@uab.es Last update: December 9, 2002 Suggestions to: Rosa Rodríguez [pubmat@mat.uab.es] 