Teaching Staff

CASACUBERTA, CARLES (carles.casacuberta@ub.edu) Dr. Carles Casacuberta is full professor at UB since 2001. He obtained a PhD degree in Mathematics at UAB in 1984. He previously held research positions at ETH Zürich and CRM Barcelona, and was associate professor at UAB and UB. His research specialty is algebraic topology, focusing on homotopy theory, homological algebra, and categories. He has been principal investigator of funded research projects since 1998. He has published 35 articles in JCR-indexed journals (with h index 16) and has advised six PhD students. He has taught graduate courses and master’s courses at UB since 2002, acting as coordinator of the master’s course on Geometry and Topology of Manifolds since 2006.


Joana Cirici has a PhD in Mathematics from Universitat de Barcelona (2012). She held postdoctoral positions at the University of Münster and at Freie Universität Berlin. Her research is at the interface of Complex Geometry and Homotopy Theory. She is currently a tenure-track lecturer from the Serra Húnter programme at the Department of Mathematics and Computer Science, and Vicedean of Research of the Faculty of Mathematics and Computer Science of Universitat de Barcelona. Joana Cirici is a member of the Topology Research Group.
CORCUERA, JOSE MANUEL (jmcorcuera@ub.edu) Associate Professor at the University of Barcelona, where currently teaches Statistics and Quantitative Finance at the Faculty of Mathematics, was born in San Sebastian (Spain), and studied Physics at the University of the Basque Country. Then he moved to Barcelona where he studied Mathematics as well. He did his PhD at the Department of Statistics of the University of Barcelona in 1995, awarded with extraordinary prize. He has supervised four PhD thesis and a number of master and bachelor thesis. He has written more than 50 papers on different issues such that Information Geometry, Prediction and Asymptotics, Mathematical Finance and Inference for Stochastic Processes. He has given more than 60 talks around the world. He has been fellow of The Center for Advanced Studies of the Norwegian Academy of Letters and Science during one year (2014-2015) and taught master courses abroad, the most recent on Mathematical Statistics at the Department of Mathematics of the Ritsumeikan University (Japan) (2018). His last works: Asymptotic theory for Brownian semi-stationary processes with application to turbulence (in collaboration, among others, with Mark Posdoslkij), Close form pricing formulas for Coupon Cancellable Cocos (in collaboration, among others, with
Wim Shoutens), Kyle-Backís model with a random horizon (in collaboration with Giulia Di Nunno) is a good sample of his research interests. Web Page: http://www.ub.edu/plie/personal_PLiE/corcuera_HTML/
DIEULEFAIT, LUIS (ldieulefait@ub.edu) Profesor Agregat at UB since 2007. PhD obtained at UB (2001). Post-doctoral positions at Inst. Math. Jussieu, Université Paris 13 and CRM. Ramón y Cajal fellowship at UB. Visiting Researcher positions at Imperial College (London), Université Paris 13, IHES (Paris), UCLA (Los Angeles), MSRI (Berkeley), Hausdorff Institut (Bonn), IAS (Princeton), CRM, and José Castillejo research fellow for a year at Harvard in 2008. ICREA Academia Research Award 2010 (2011-2015). Organizer of research programs at CRM (year long, 2010) and Hausdorff Institut (trimester, 2013). P.R. of the Number Theory Group at UB
Research topics: Modular and Automorphic Forms, Galois representations, Langlands Program, Diophantine Equations. Main results proved: modularity of Rigid Calabi-Yauthreefolds, cases of the Fontaine-Mazur and Serre’s modularity conjectures and cases of Langlands functoriality (base change for GL(2), symmetric powers, tensor products). Further information at: https://sites.google.com/site/luisdieulefait/


Dr. Joan Elias is a full professor at Universitat de Barcelona (UB) since 2002, with a Ph.D at the same university in 1985. He has made research stays at the University of Berkeley (USA), MSRI (Berkeley, USA), VIASM (Hanoi, Vietnam), University of Genova (Italy), University of Trieste (Italy), among other places. He has been teaching the course of Local Algebra of the Master In Advanced Mathematics since its first edition. His research work revolves around Commutative Algebra, Singularities and Computer Algebra. He has advised three Ph.D. thesis. Hi is a member of the MTM current research project “Graded structures in commutative algebra and applications”,  SGR project “Algebra and Algebraic Geometry” and  “Red de Geometría Algebraica y Singularidades”. Further information at: http://www.ub.edu/C3A/elias/


Full professor at UB since 2020. She obtained her Ph.D. in 1995 at Boston University under the supervision of Robert L. Devaney. She is now the leader of the research group in Holomorphic Dynamics at UB, working in complex dynamical systems and fractals. She was a Chern Professor at MSRI (Berkeley) during the spring semester of 2022. She has supervised 5 Ph.D. students and several postdoctoral fellows. She was a plenary speaker at more than 70 international conferences and organized several international events. She has been invited to give courses and seminars at leading institutions. Jointly with Bodil Branner (DTU, Denmark) she is the author of the book “Quasiconformal surgery in holomorphic dynamics”, Cambridge University Press (2014). Apart from the book, she has published over 50 research papers in leading journals including Inventiones Mathematicae., Advances in Mathematics, Transactions of the AMS, Proceedings of the LMS or Communications in Mathematical Physics. Her research interests are mainly in Dynamical Systems, a wide field which connects different areas of mathematics but it also links mathematics to real life problems in many areas of science and technology . Her expertise resides in studying dynamical systems from a complex (as opsosed to real) point of view, an area known as complex dynamics, at the intersection between dynamics, complex analysis and topology. Locating an analyzing different types of invariant objects like stable equilibria of these systems (attracting fixed or periodic obits) and the boundaries of their basins of attraction (often fractals known as Julia sets) is a central problem in dynamics, and is at the core of her research. These fractals present many challenges to researchers in complex analysis, topology, geometry and even number theory. In recent years her focus has been on the global dynamics of Newton’s method, the general theory of meromorphic maps and applications to mathematical biology.
FONTICH, ERNEST (fontich@ub.edu) Prof. Ernest Fontich defended his PhD thesis in 1985 at Universitat de Barcelona. He was awarded the Ferran Sunyer Balaguer price in 1987 for it. After some previous teaching he was assistant professor at Universitat Politècnica de Catalunya from 1987-1989. Then he moved to Universitat de Barcelona, where he is professor since 2006. From 2007-2011 he was the director of the Departament de Matemàtica Aplicada i Anàlisi (UB). He has been teaching in the master since it started in 2006. His main area of research is dynamical systems, especially in the topics of Invariant manifolds, exponentially small phenomena and Hamiltonian dynamics.


María Ángeles García-Ferrero is an assistant professor at the Universitat de Barcelona since 2022. Previously, she held posdoctoral positions at the Max-Planck Institute for Mathematics in the Sciences in Leipzig, at the Institute of Applied Mathematics of the University of Heidelberg (both in Germany) and at the Basque Center for Applied Mathematics (BCAM) in Bilbao. She did her thesis at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid. She received her PhD diploma from the Universidad Complutense de Madrid in 2018 and she graduated in Physics from the Universidad de Valladolid in 2014. Her research interests include (local and nonlocal) partial differential equations, inverse problems and orthogonal polynomials.
GISPERT, JOAN (jgispertb@ub.edu) Dr. Joan Gispert is Associate Professor at the Universitat de Barcelona. He did his PhD thesis on many valued Lukasiewicz logic at the Universitat de Barcelona. He then did postdoctoral stay at the IIIA-CSIC. His main research interests are algebraic logic and non classical logic, particularly, many valued logic and fuzzy logic. He is a member of the groups on Non Classical Logic of UB . He has taught several courses on logic for computer science, non classical logics, many valued logics and universal algebra. During the last eight years he had taught the Logic and Algebra course at the Master in Advance Mathematics.


Xevi Guitart is associate professor at the Universitat de Barcelona. He finished his PhD. at the Universitat Politècnica de Catalunya in 2010, and was a postdoc at the Max Planck Institute for Mathematics in Bonn, the University of Duisburg-Essen, and Universitat de Barcelona. His research area is arithmetic geometry, at the intersection of number theory and algebraic geometry. This field can be described as the study of diophantine equations (i.e., the search of rational solutions to polynomial equations) by means of geometric techniques. Most of his research is concerned with the interplay of abstract theory and effective algorithms that allow for explicit calculations. Personal webpage: http://www.maia.ub.es/~guitart/
JARQUE, XAVIER (xavier.jarque@ub.edu) Dr. Xavier Jarque is an associate professor at Universitat de Barcelona (UB), which he joined in 2003 (on leave at Universitat Rovira i Virgili, Tarragona, from 2008 to 2010). Hi did the Pd.D. at Universitat Autònoma de Barcelona and he spent two years at Boston University (Boston, MA) as post-doctoral fellowship. Since 2003 has had taught, among other subjects, Differential Equations, Dynamical Systems and Numerical Analysis. During the last 10 years he had taught (joint with Ernest Fontich) the Dynamical Systems course at the Master in Advanced Mathematics. As a researcher he has focused in holomorphic dynamics, more concretly in transcendental dynamics as discrete dynamical systems generated by the iterates of transcendental meromorphic maps. He is member of the research group HOLODYN (http://www.maia.ub.es/holodyn/) and GSD-UAB (http://www.gsd.uab.cat/). Further information at: http://www.maia.ub.es/~xjarque


Dr. David Márquez-Carreras defended his PdD thesis in 1998 at Universitat de Barcelona with the title “Contribution to the study of stochastic partial differential equations”. He was awarded the Evariste Galois prize. He was assistant professor at Universitat Politècnica de Catalunya and he is Associate Professor at the Universitat de Barcelona since 2001. His main area of research is Stochastic Analysis, especially in the topics of stochastic partial differential equations, fractional Brownian motion, stability and Lévy process. He has made research stays at the Institute Élie Cartan in Nancy (France), the Cinvestav of the Instituto Politècnico Nacional (Mexico) and the Université Sorbonne Paris Nord (France).


Dr. Jordi Marzo is Associate Professor at Universitat de Barcelona (UB). He finished his PhD at the Universitat de Barcelona in 2008 and was two years at The Norwegian University of Science and Technology (Norway) as a PostDoc. His research interests lie in the interface of Complex Analysis, Harmonic Analysis, Potential Theory and Point Processes. Since 2016 he is the coordinator of the Barcelona Analysis Seminar UB-UAB, http://mat.uab.cat/~Analisi/wordpress/. He is member of the research group in Complex Analysis at the UB.
MASSANEDA, XAVIER (xavier.massaneda@ub.edu) Dr. Xavier Massaneda is an associate professor at Universitat de Barcelona (UB). Hi did his Pd.D. at Universitat Autònoma de Barcelona and he spent two years at the University of Wisconsin, Madison as Fulbright post-doctoral fellow. Since 1997 he has taught various courses on real, complex and harmonic analysis, and on probabilty. As a researcher he has focused in several topics in complex and harmonic analysis, and some probability related aspects, such as (random) interpolating and sampling sets and applications. He is member of the Barcelona Complex Analysis Group and of the Seminari d’Anàlisi de Barcelona (http://mat.uab.cat/~Analisi/wordpress/).


Maria Eulàlia Montoro is a professor at University of Barcelona (UB) since 2008. She got her PhD in 2015. Currently, she is also a teacher in the courses of Linear Geometry and Projective Geometry. Her research interests are Linear Algebra and Computational Algebra.
MUNDET i RIERA, IGNASI (ignasi.mundet@ub.edu) Ignasi Mundet i Riera is an associate professor at Universitat de Barcelona (UB) since 2003. He got his PhD at the Universidad Autónoma de Madrid in 1999, and after enjoying postdoctoral grants in École Polytechnique (Palaiseau, France) and Oxford University (UK) he was from 2001 to 2003 a Ramon y Cajal fellow at the Universitat Politècnica de Catalunya. A common thread in most of his rearch is the study of group actions on manifolds, initially on gauge theories and applications (Higgs bundles, Hamiltonian-Gromov-Witten theory) and latter turning to the geometry of finite group actions both in differential and symplectic geometry (Jordan property). He has given courses on Differential Geometry (introductory courses on curves and surfaces, and also advanced courses on arbitrary dimensional manifolds), beginner’s Topology, Algebraic Topology, and others. He has also been a teacher in the courses of Geometry and Topology of Manifolds and of Algebric Curves of the Master in Advanced Mathematics for a number of years.


Joan Carles Naranjo is an associate professor at Universitat de Barcelona (UB) since 1993. He got his PhD in 1990 under the supervision of Gerald Welters de Catalunya. He has also been a teacher in the courses of Linear Geometry, Projective Geometry and Topology in a number of years. His area of research is Algebraic Geometry with special attention to abelian varieties, algebraic curves and irregular varieties.
ORTEGA-CERDA, JOAQUIM (jortega@ub.edu) Dr. Joaquim Ortega Cerdà is a professor at the University of Barcelona since 1997. He did his thesis in Mathematics at the Universitat Autònoma de Barcelona. He was a postdoc researcher at the University of Wisconsin at Madison in 1995 where he returned as a visiting professor during the course 2004/2005. He has worked at the Universitat Autonòma de Barcelona and at the Universitat Politècnica de Catalunya. He has done several long research stays at the Mittag-Leffler Institute, Center for Advanced Studies at Oslo and at the Universities of Goteborg and Trondheim and shorter visits at the Mathematical Research Institute of Oberwolfach and the Simons Center for Geometry and Physics. He was an invited lecturer at the European Congress of Mathematics in Berlin 2016. His main research interest is in complex analysis in one and several variables. Particularly the study of the inhomogeneous Cauchy-Riemann equation to tackle problems as the size of the Bergman kernel or the description of zero sets, sampling an interpolating sequences. Other topics of his interest are Dirichlet series, from a point of view of function theory in the infinite-dimensional polydisk and lately random point processes and optimal configuration sets.
ZARZUELA, SANTI (szarzuela@ub.edu) Dr. Santiago Zarzuela is a full professor at Universitat de Barcelona (UB) since 2008, with a Ph.D at the same university in 1986. He has made research stays at the University of Cologne (Germany), MSRI (Berkeley, USA), Meiji University (Yokohama, Japan), Instituto Superior Tecnico (Lisbon, Portugal), University of Essen (Germany) and CRM (Bellaterra, Spain), among other places. He has been teaching the course of Local Algebra of the Master In Advanced Mathematics since its first edition, and coordinator of this program from 2001 to 2003 and from 2006 to 2009. As a researcher his work turns around Commutative Algebra, mainly focussed in its aspects related with Algebraic Geometry, Homological Algebra, and Algebraic Combinatorics. He has advised five Ph.D. thesis, one of them at the Universidade Técnica de Lisboa. Hi is member of the MTM current research project “Graded structures in commutative algebra and applications” and the SGR project “Algebra and Algebraic Geometry”.