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                                                            ICREA (Institució Catalana de Recerca i Estudis Avançats)
                                                        
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                                                         Universitat Politècnica de Catalunya Departament de Matemàtiques Av. Diagonal, 647. 08028 Barcelona. Spain | 
                                                
                                                    
                                                        
                                                            
                                                                
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
                                                                                        
                                                                                            
                                                                                                
                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                Office 3.44, 3rd floor ETSEIB, UPC
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                
                                                                                                         Phone: +34 93 401 09 74 Email: xavier.cabre (at) upc.edu Author's IDs:   ORCID 0000-0001-5682-3135 Scopus 6602151573  Web of Science L-2727-2014 MathSciNet MR ID 362471 | 
                    
                        
                            
                                
                                    
                                        
                                            
                                                
                                                    
                                                        
                                                            
                                                                
                                                                    
                                                                        
                                                                            
                                                                                
                                                                                    
                                                                                        
                                                                                            
                                                                                                
                                                                                                    
                                                                                                        
                                                                                                            
                                                                                                                
                                                                                                                    
                                                                                                                        
                                                                                                                            
                                                                                                                                
                                                                                                                                    Curriculum
                                                                                                                                
                                                                                                                                
Born in Barcelona. PhD in Mathematics, area: Partial Differential Equations, adviser: Louis Nirenberg, Courant Institute, New York University, 1994. Kurt Friedrichs Prize, New York University, 1995. Member of the Institute for Advanced Study, Princeton, 1994-95. Habilitation à diriger des recherches, Université Pierre et Marie Curie-Paris VI, 1998. Harrington Faculty Fellow, The University of Texas at Austin, 2001-02. Tenure Associate Professor, The University of Texas at Austin, 2002-03. ICREA Research Professor since 2003 and Catedrático de Matemática Aplicada since 2008, at the Universitat Politècnica de Catalunya. Fellow of the American Mathematical Society, inaugural class, 2012. Editor of the Journal of the European Mathematical Society, 2014-2017
                                                                                                                    
Vita.pdf   ShortVita.pdf Short Biography, Research Interests, Invited Addresses, Grants, etc
                Born in Barcelona. PhD in Mathematics, area: Partial Differential Equations, adviser: Louis Nirenberg, Courant Institute, New York University, 1994. Kurt Friedrichs Prize, New York University, 1995. Member of the Institute for Advanced Study, Princeton, 1994-95. Habilitation à diriger des recherches, Université Pierre et Marie Curie-Paris VI, 1998. Harrington Faculty Fellow, The University of Texas at Austin, 2001-02. Tenure Associate Professor, The University of Texas at Austin, 2002-03. ICREA Research Professor since 2003 and Catedrático de Matemática Aplicada since 2008, at the Universitat Politècnica de Catalunya. Fellow of the American Mathematical Society, inaugural class, 2012. Editor of the Journal of the European Mathematical Society, 2014-2017
Vita.pdf   ShortVita.pdf Short Biography, Research Interests, Invited Addresses, Grants, etc
                    
                        
                            Selected recent publications
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                            
                                                                                                                                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                            
                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                    
                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                            
                                                                                                                                                                                                
                                                                                                                                                                    
                                                                                                                                        
                                                                                                            
                                                                                
                                                    
                        
                    
                    
                - Stable solutions to semilinear elliptic equations are smooth up to dimension 9, with A. Figalli, X. Ros-Oton, and J. Serra. Acta Mathematica 224 (2020), 187–252
- A gradient estimate for nonlocal minimal graphs, with M. Cozzi. Duke Math. J. 168 (2019), 775-848   
                    
                        
                            
                                
                                    
                                        
                                            
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