Teaching Staff
BALACHEFF, FLORENT  Florent Balacheff has a PhD in Mathematics from the University of Montpellier (2005) in France. He held postdoctoral positions at the University of Geneva and Neuchâtel, in Switzerland, and then was an Associate Professor at the University of Lille in France from 2008 to 2018. After that, he came to the UAB first as a Ramon y Cajal Researcher (20182023) and is now an Associate Professor since September 2023. His research is at the interface between Geometry and Topology. 
CABAÑA, ALEJANDRA  I earned my degree in mathematics from Simón Bolívar University in Venezuela and completed my Ph.D. at Central University of Venezuela, with a research stint at the University of Paris XI through a collaboration between ParisSud (now Saclay) and UCV. Following this, I spent three years as a postdoctoral researcher at Universitat de Barcelona, supported by a scholarship from the Spanish Agency for International Cooperation (AECI). Subsequently, I returned to Caracas and joined the Venezuelan Institute for Scientific Research (IVIC), where a significant portion of my career unfolded. In 2003, I migrated to Valladolid, initiating as a visiting professor and later securing a position as an associate professor. Since 2009, I have been associated with the Autonomous University of Barcelona, where I currently serve as the coordinator for the Applied Statistics Degree. My early research focused on developing goodnessoffit tests based on transformed empirical processes, as introduced in the Annals of Statistics 22 (1994) and Annals of Statistics 24 (1996). In subsequent phases, my work delved into continuoustime ARMA processes and integer time series. While maintaining a consistent interest in modeldriven approaches, my current research is driven by the exploration of potential interactions between my theoretical expertise in empirical processes and the applications of Neural Networks, particularly in studying variable importance. I am an Associate Professor at the UAB since 2010; and since then I have been the principal investigator of three funded research projects. 
CASTELLANA, NATÀLIA 
My primary field of research is Algebraic Topology, and mainly focused on understanding homotopy properties of pcompleted classifying spaces of groups and fusion systems in general by means of plocal group information, where p is a prime. Recently I am also working on understanding cohomological properties by its translation to the stable homotopy theory of geometric cochains, specially the point of view of tensortriangular geometry. I have participated in several research programmes (e.g. MittagLeffler Insitute, Bernouilli Centre, MaxPlanck Institut fur Mathematik, Fields Institute, Banff International Research Centre, Haussdorff Institute, ICTS Bangalore) and workshops (e.g. Matematisches Forschunginstitut Oberwolfach). 
CIRICI, JOANA  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, in Germany. Her research is at the interface of Complex Geometry and Homotopy Theory. Joana Cirici is a member of the Geometry and Topology Research Group at UB. She is currently Associate Professor at the Department of Mathematics and Computer Science, and Vicedean of Research of the Faculty of Mathematics and Computer Science of Universitat de Barcelona. 
CLOP, ALBERT  Albert Clop defended his PhD thesis in 2006 at Universitat Autònoma de Barcelona. After that, he worked as a postdoc researcher in Helsinki, Jyväskylä and Madrid. In 2010 he went back to UAB as a Ramon y Cajal fellow. Since 2019, he is an associate professor at Universitat de Barcelona. He coordinated the Barcelona Analysis Seminar between 2010 and 2016. He led an Europa Excelencia project, as well as the local group of a Marie Curie Initial Training Netwok. He has codirected 4 PhD students, and supervised the projects of 3 postdoctoral researchers. His research interests are found on the interplay between Mathematical Analysis and Partial Differential Equations , with special interest in Geometric Function Theory. Particularly he has recently been interested in transport equations and their connections with realtime flows of planar Sobolev homeomorphisms. 
DIEULEFAIT, LUIS  Full professor at UB since 2020. PhD obtained at UB (2001). Postdoctoral 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 (20112015). 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 CalabiYauthreefolds, cases of the FontaineMazur 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/ 
DRACH, KOSTIANTYN 
I am an assistant professor (professorat lector) at Universitat de Barcelona and a member of the Centre de Recerca Matemàtica (CRMBarcelona). I do research in geometry and dynamics. Some keywords are: holomorphic dynamics, hyperbolic dynamics and geodesic flows, rigidity of dynamical systems, renormalization theory, Riemannian and convex geometry, isoperimetric inequalities. 
ELIAS, JOAN  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/ 
FAGELLA, NÚRIA 
Full professor at UB since 2020. She obtained her Ph.D. in 1995 at Boston University under the supervision of Robert L. Devaney and is now the leader of the research group in Holomorphic Dynamics at UB, working in complex dynamical systems and fractals. She has been awarded an Icrea Academia research distinction for the period 20212026 and was a Chern Professor at MSRI (Berkeley) during the spring semester of 2022. Advisor of five Ph.D. students and several postdoctoral fellows, she was a plenary speaker at more than 70 international conferences, was invited to give courses and seminars at leading institutions and and organized several international events. Jointly with Bodil Branner (DTU, Denmark) she is the author of the book “Quasiconformal surgery in holomorphic dynamics”, Cambridge University Press (2014), and of 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.

GUÀRDIA, MARCEL  Marcel Guàrdia is Associate Professor at the Universitat de Barcelona and affiliated at the Centre de Recerca Matemàtica. He is the Principal Investigator of the ERC Starting grant Haminstab and he has been distinguished with an ICREA Academia Prize in 2018. He is also the Scientific Director of the Maria de Maeztu award of the Centre de Recerca Matemàtica. His research is (mostly) focused on the analysis of invariant objects and unstable behaviors in Hamiltonian systems of finite or infinite dimension (including Partial Differential Equations) and its applications to Celestial Mechanics. 
JORBA, ÀNGEL  Àngel Jorba received his PhD from the University of Barcelona under the supervision of Prof. Carles Simó. He has been associate professor at the Polytechnic University of Catalonia and he is currently Professor of Applied Mathematics at the University of Barcelona. Since 2001 he is a member of the editorial board of the journal Discrete and Continuous Dynamical Systems – Series B, and he has served as coordinator of the Spanish network of dynamical systems (DANCE) from 2006 to 2010. 
LAHOZ, MARTÍ 
Martí Lahoz is associate professor at the Universitat de Barcelona. He finished in Mathematics at the Universitat Politècnica de Catalunya in 2010. He held postdoctoral positions at the University of Bonn and Paris Saclay. He was Maître de Conférénces in Paris from 2012 to 2017 and Ramón y Cajal researcher from 2017 to 2022. His area of research is Algebraic Geometry with focus on some applications of abstract constructions in homological algebra. It can bedivided in 3 lines of research: one is focused on the geometry of abelian varieties, specially on principally polarized abelian varieties; the second on the study of irregular projective varieties using the derived category of the Albanese variety and the problems considered are essentially up to birational equivalence; the third on the study of the derived category of coherent sheaves on a smooth projective variety in order to obtain geometric information regarding the variety itself and moduli spaces of objects in it. Personal webpage: 
MÁRQUEZCARRERAS, DAVID  Dr. David MárquezCarreras 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). 
MARZO, JORDI  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 UBUAB, http://mat.uab.cat/~Analisi/wordpress/. He is member of the research group in Complex Analysis at the UB. 
MASDEU, MARC 
Marc Masdeu defended his PhD thesis in 2010 at McGill University
(Canada). He was a Ritt Assistant professor at Columbia University (USA) and a MarieCurie Fellow at the University of Warwick (UK). In 2017 he joined Universitat Autònoma de Barcelona through the Ramon y Cajal program, and since 2023 he is an associate professor there. His research interests concern explicit methods in number theory and arithmetic geometry. Many of his works are linked to padic analytic constructions of algebraic quantities predicted by the Birch and SwinnertonDyer conjecture. More recently he has engaged in the promotion of theorem provers Lean in particular among mathematicians. 
MASSANEDA, XAVIER (xavier.massaneda@ub.edu)  Dr. Xavier Massaneda is an associate professor at Universitat de Barcelona (UB). He did his Pd.D. at Universitat Autònoma de Barcelona and he spent two years at the University of Wisconsin, Madison as Fulbright postdoctoral 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/). 
MIRÓ, ROSA MARIA  
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, HamiltonianGromovWitten 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. 
NICOLAU, ARTUR  I obtained a PhD in Mathematics at UAB and was a postdoctoral researcher at UCLA. I am a professor at UAB since 2011. I have advised six PhD students and several postdoctoral fellows. My research area is Classical Analysis focusing on the interactions between Complex and Harmonic Analysis with Stochastic Processes and Functional Analysis. 
ORTEGACERDA, JOAQUIM  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 MittagLeffler 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 CauchyRiemann 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 infinitedimensional polydisk and lately random point processes and optimal configuration sets. 
FRANCESC PERERA  2004present: Associate Professor (UAB) 200304: Lecturer (UAB) 200103: Lecturer (Queen’s University Belfast) 1999: Postdoctoral Researcher (EUTMR) at the University of Copenhagen 19962001: Assistant Professor (UAB) 199496: Predoctoral Fellow under the National Training Program for University Personnel 
PORTI, JOAN  I am professor at the UAB. I got my Ph.D. in Toulose, I spent three years as researcher at the CNRS, and since 1998 I teach at the UAB. In 2008 I got ICREA Academia Research Award. I have advised five Ph.D. students and several postdoctoral fellows. My research deals with geometry and topology of low dimensional manifolds, with a special interest in dimension three. In particular I am interested in deformation spaces of geometric structures on manifolds, varieties of representations, and invariants that combine geometry and topology, like Reidemeister torsion. 
PUIG, PERE  Pere Puig is senior full professor at the Department of Mathematics of the UAB. He worked with the group of Michael A. Stephens (Simon Fraser University) developing Goodness Of Fit Tests. He leads the Advanced Statistical Modelling research group and has wide ranging experience in development of mathematical and statistical methods working together with multidisciplinary groups. Prof. Puig has published extensively his research results in Mathematical Statistics in prestigious journals like the Journal of the American Statistical Association and Technometrics. For over twenty five years has been a coresearcher with biologists, agriculturists, veterinarians, economists and health scientists, publishing their results in prestigious journals like Animal Science, Radiation Research, PlosOne or the Proceedings of the Royal Society A. Prof. Puig has been the Editor in Chief of the journal “Statistical and Operation Research Transactions (SORT)” during five years. Since 2011 he is a regular collaborator with the Public Health England (PHE) Cytogenetics and Biomarkers Group, having several joint publications, participating in the PhD project “Advanced Statistical Methods for Cytogenetic Radiation Biodosimetry”, under a special agreement between the PHE and the UAB. 
XAVIER ROS OTON  Xavier is an ICREA Research Professor and Catedràtic at the Universitat de Barcelona since 2020. His research interests are on the analysis of Partial Differential Equations (PDE). He has been the PI of an ERC Starting Grant (20192024) and an ERC Consolidator Grant (20242029), and has received several awards for young mathematicians in Spain, including the ‘Premio Nacional de Investigación’ for researchers under 40 in Mathematics and Computer Science. He also received the Scientific Research Award from the Fundación Princesa de Girona, as well as the Stampacchia Gold Medal, an international prize awarded every three years in recognition of outstanding contributions to the Calculus of Variations. In 2022, he was elected member of the Spanish Royal Academy of Sciences. 
CARLES ROVIRA  Dr. Carles Rovira is a full professor at Universitat de Barcelona (UB) since 2011, with a Ph.D at the same university in 1995. He has made research stays at the University of Edinburgh (USA), University Paris XIII (France) and University of Padova (Italy). His main area of research is Stochastic Analysis, especially in the topics of stochastic differential equations driven by fractional Brownian motion and convergence of stochastic processes. Since 1993 he has taught various courses on probability, statistics and stochastic processes. He is a member of the MTM current research project “Stochastic and deterministic models. Applications to biosciences”. 
XAVIER TOLSA  Xavier Tolsa first studied engineering and later he turned to mathematics. After obtaining his PhD in mathematics in 1998 at the Universitat Autonoma de Barcelona (UAB), he spent about one year in Goteborg (University of Goteborg – Chalmers) and another year in Paris (Université de ParisSud). Afterwards, he returned to the UAB as a Ramon y Cajal felow in 2001. Since 2003 he is ICREA Research Professor at the UAB. He has received several awards for his achievements, such as the Salem Prize (2002), the Prize of the European Mathematical Society (2004), or the Prize Rei Jaume I (2019, first time awarded in the field of mathematics). He was invited lecturer at the European Congress of Mathematics in Stockholm (2004) and at the International Conference of Mathematicians in Madrid (2006). He has also been PI of two ERC Advanced Grants (20132018 and 20212026). 