Irene, Us-china 2009
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Center for Nonlinear Analysis Since 1991 Funded by the National Science Foundation Irene Fonseca, Director Department of Mathematical Sciences Center for Nonlinear Analysis Carnegie Mellon University
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Former Postdocs
Central to CNA: postdoctoral education and training. Rustum Choksi (Simon Fraser), Antonio De Simone (SISSA), Georg Dolzmann (U. Maryland and U. of Regensburg), Maria Emelianenko (George Mason), Gero Friesecke (U. of Warwick and U. of Munich), Wilfrid Gangbo (Georgia Tech), Robert Jerrard (U. of Toronto), Michal Kowalczyk (U. Chile), Giovanni Leoni (CMU), Chun Liu (Penn State), Vincent Millot (U. Cergy-Pontoise), Massimiliano Morini (SISSA), Stefan M¨ uller (former Director, Max Planck Institute for Mathematics in the Sciences, Leipzig), Felix Otto (Director, Hausdorff Center for Mathematics, U. of Bonn), Konstantina Trivisa (U. of Maryland).
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Imaging Inpainting (recolorization)
Frescoes of Andrea Mantegna, Ovetari Chapel of the Eremitani’s Church, Padova (Italy); destroyed by Z bombing in WWII
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Foams Surf(ace) Act(ive) A(ge)nt
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Epitaxially Strained Crystalline Films; Quantum Dots
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Mathematics and Materials Collaboration
Grain boundaries; interface dynamics, surface motion by surface diffusion
Orientation imaging microscope of (Ni) nickel scale: grains are diameter = 200 microns (CMU MRSEC)
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Dynamics of Energy-Driven Systems Coarsening in thin polymer films
Process is similar to Ostwald ripening, but since droplets grow in height the system is not scaling invariant. Rigorous bounds on rate of coarsening High mobility of droplets results in collision of droplets as a new mechanism of coarsening.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Mesh Generation Algorithms
Liquid crystals, polymer and biological fluids Time = 0.0000 1
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Complex Materials
Three dimensional meshing algorithms are under development
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Immune Response Mathematical modeling of immune response to biodefense pathogens
A pivotal player in the immune system - a dendritic cell
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
advanced topics courses working groups workshops and conferences visitors program seminar series scientific report series summer schools outreach: Summer Undergraduate Applied Mathematics Institute (SUAMI) interchange, mobility and internationalization
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2003-2009 Workshops and Conferences
Young researchers are invited to present contributed talks that run on parallel sessions, and are encouraged to apply for financial support.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Frontiers of Applied Analysis
Frontiers of Applied Analysis A Conference on the Occasion of the 15th Anniversary of the Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA l.
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Douglas Arnold (University of Minnesota) Henri Berestycki (École des Hautes Études en Sciences Sociales) Haim Brezis (Rutgers University) Emmanuele DiBenedetto (Vanderbilt University) Weinan E (Princeton University) Ivar Ekeland (Pacific Institute for the Mathematical Sciences, Vancouver) Willi Jäger (University of Heidelberg) Barbara Keyfitz (Fields Institute) Gregory Lawler (Cornell University) Fang-Hua Lin (Courant Institute) Pierre-Louis Lions (Collège de France) Andrew Majda (Courant Institute) Hiroshi Matano (University of Tokyo) Louis Nirenberg (Courant Institute) Stanley Osher (University of California, Los Angeles)
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Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is June 15, 2005. Graduate students, postdocs and scientists with a recent Ph.D. degree are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is June 30, 2005. http://www.math.cmu.edu/cna Organizers: Irene Fonseca, David Kinderlehrer, Roy Nicolaides, Robert Pego, Shlomo Ta’asan This conference is sponsored by the National Science Foundation, the Office of Naval Research, the Office of Naval Research Global, and the Department of Mathematical Sciences at Carnegie Mellon University.
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
US-Chile Workshops: New Developments in Partial Differential Equations I
Xinfu Chen Gianni Dal Maso Juan Davila Manuel Del Pino Jean Dolbeault Patricio Felmer Irene Fonseca Marta Garcia-Huidobro Ignacio Guerra David Kinderlehrer Mike Kowalczyk Giovanni Leoni Ra´ ul Man´ asevich Juan Manfredi Salom´ e Martinez Alexander Quaas Philippe Souplet Cecilia Yarur
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Workshop: New Trends in Calculus of Variations and Mass Transport Alberto Bressan Almut Burchard Irene Fonseca Nicola Fusco Piotr Hajlas Tadeusz Iwaniec Robert Jerrard David Kinderlehrer Pekka K´ yskela Jan Mal´ y Robert McCann Massimiliano Morini Jani Onninen Aldo Pratelli Dejan Slepˇ cev
Alberto Bressan, Penn State University Almut Burchard, University of Toronto, Toronto, Canada Irene Fonseca, Carnegie Mellon University Nicola Fusco, University of Naples, Naples, Italy Piotr Hajlasz, Tadeusz Iwaniec, Syracuse University Robert Jerrard, University of Toronto, Toronto, Canada David Kinderlehrer, Carnegie Mellon University Pekka Koskela, University of Jyväaskyläa, Jyväaskyläa, Finland Jan Malý, Charles University, Prague, Czech Republic Robert McCann, University of Toronto, Toronto, Canada Massimiliano Morini, SISSA, Trieste, Italy Jani Onninen, Syracuse University Aldo Pratelli, University of Pavia, Pavia, Italy Dejan Slepčev, Carnegie Mellon University Nicola Fusco and Giovanni Leoni Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences
and the National Science Foundation.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Workshop: Workshop on Energy-Driven Systems Giovanni Bellettini Rustum Choksi Inwon Kim Marta Lewicka Chun Liu Govin Menon Alexander Mielke Cyrill Muratov Mark Peletier Matias R¨ oger Maria Westdickenberg Michael Westdickenber Andrej Zlatoˇs
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2001 Multiscale Problems in Nonlinear Analysis Gianni Dal Maso Irene Fonseca Richard James David Kinderlehrer Shlomo Ta’asan Luc Tartar Lev Truskinovsky Noel Walkington Dieter Wolf
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2004 Advances in Nonlinear Analysis
Luigi Ambrosio Maria-Carme Calderer Wilfrid Gangbo Nassif Ghoussoub Irene Fonseca Stefan M¨uller
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2006 Probabilistic and Analytical Perspectives on Contemporary 2006 CNA Summer School
Krzysztof Burdzy Carlos Kenig Ricardo Nochetto Panagiotis Souganidis Srinivasa Varadhan
Probabilistic and Analytical Perspectives on Contemporary PDEs Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA
May 29 – June 6, 2006
Topics will cover: ▶ Essential uses of probability in analysis ▶ Quantitative unique continuation for elliptic, parabolic and dispersive equations, and applications ▶ Adaptive finite element methods for elliptic PDEs ▶ Fully nonlinear stochastic partial differential equations and applications ▶ Interacting particle systems and their scaling limits
List of lecturers: Krzysztof Burdzy, University of Washington Carlos Kenig, University of Chicago Ricardo Nochetto, University of Maryland Panagiotis Souganidis, University of Texas at Austin Srinivasa Varadhan, New York University
Organizers: Irene Fonseca, Giovanni Leoni, Robert Pego, Kavita Ramanan
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2006. Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2006. Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA 15213 Telephone: 412-268-2545 Fax: 412-268-6380 http://www.math.cmu.edu/cna/Summer06 email: [email protected] This conference is sponsored by the National Science Foundation and the Department of Mathematical Sciences at Carnegie Mellon University.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2008 Contemporary Topics in Nonlinear PDEs Ivar Ekeland Robert Kohn Claude Le Bris Felix Otto Benoit Perthame
2008 CNA Summer School Contemporary Topics in Nonlinear PDEs Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA
May 29 – June 7, 2008
and Lecturers and Topics: Ivar Ekeland, University of British Columbia ▶ Demand functions and the structure of economic theory
Goran Peskir Albert Shiryaev
Robert Kohn, Courant Institute, New York University ▶ Energy-driven pattern formation
Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA 15213 Telephone: 412-268-2545 Fax: 412-268-6380 email: [email protected] Time = 0.0000 1
Claude Le Bris, École Nationale des Ponts et Chaussées ▶ From molecular theories to continuum elasticity: a possible track
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Felix Otto, University of Bonn ▶ Some PDE problems from materials science
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Benoit Perthame, Université Pierre et Marie Curie ▶ Growth processes and physiologically structured dynamics
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Simulation of singularities in a nematic liquid crystal. Director filed superimposed upon the view through cross polarizers (Walkington).
The Summer School will be held concurrently with the “Heath Lectures on Probability and Mathematical Finance” given by Goran Peskir, University of Manchester and Albert Shiryaev, Moscow University.
Organizers: Irene Fonseca, David Kinderlehrer, Dmitry Kramkov, Giovanni Leoni, Robert Pego, Dejan Slepcev, ˇ Shlomo Ta’asan, Noel Walkington Model of coarsening in thin liquid films; a configuration early in the coarsening stage (Otto, Rump, and Slepcev).
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2008. Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2008.
http://www.math.cmu.edu/cna/Summer08
A grain of brass, diameter about 1 cm, separated from an ingot. From the collection of W.W. Mullins.
This conference is sponsored by the Department of Mathematical Sciences and Center of Computational Finance at Carnegie Mellon University and the National Science Foundation.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Outreach
Focuses on undergraduate African-Americans, Hispanics, women, and other under-represented groups, and on students from smaller universities and colleges.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
Center for Nonlinear Analysis Since 1991 Funded by the National Science Foundation Irene Fonseca, Director Department of Mathematical Sciences Center for Nonlinear Analysis Carnegie Mellon University
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Faculty
• Management: Irene Fonseca (PI), Director Robert Pego (Co-PI), Associate Director • Other Co-PIs: David Kinderlehrer Giovanni Leoni Noel Walkington • Other Permanent Faculty: James Greenberg, Morton Gurtin, William Hrusa, Gautam Iyer, Roy Nicolaides, David Owen, Agoston Pisztora, Kavita Ramanan, Jack Schaeffer, Robert Sekerka, Dejan Slepˇcev, Shlomo Ta’asan and William Williams • 8-10 postdocs, a few graduate students with full fellowships
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Former Postdocs
Central to CNA: postdoctoral education and training. Rustum Choksi (Simon Fraser), Antonio De Simone (SISSA), Georg Dolzmann (U. Maryland and U. of Regensburg), Maria Emelianenko (George Mason), Gero Friesecke (U. of Warwick and U. of Munich), Wilfrid Gangbo (Georgia Tech), Robert Jerrard (U. of Toronto), Michal Kowalczyk (U. Chile), Giovanni Leoni (CMU), Chun Liu (Penn State), Vincent Millot (U. Cergy-Pontoise), Massimiliano Morini (SISSA), Stefan M¨ uller (former Director, Max Planck Institute for Mathematics in the Sciences, Leipzig), Felix Otto (Director, Hausdorff Center for Mathematics, U. of Bonn), Konstantina Trivisa (U. of Maryland).
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
To sustain its leadership in the areas of Calculus of Variations and PDEs; To maintain its position as a worldwide asset in the education of young investigators cognizant of research opportunities at the broad interface between mathematics and physical sciences and engineering; To identify cutting-edge mathematical questions in science and engineering, including materials science and biotechnology; To continue developing international partnerships and cooperation agreements, which play a vital part in the CNA program and in the enhancement of the scientific training and research activities of the Center.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Imaging Inpainting (recolorization)
Frescoes of Andrea Mantegna, Ovetari Chapel of the Eremitani’s Church, Padova (Italy); destroyed by Z bombing in WWII
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Foams Surf(ace) Act(ive) A(ge)nt
Fε (u, ρ) :=
Z Ω
1 2 f (u) + ε|∇u|2 + ε (ρ − |∇u|) ε
dx+β(ε)
Z
Ω
|∇ρ|2 dx
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Epitaxially Strained Crystalline Films; Quantum Dots
F (u, Ωh ) :=
Z
W (E (u) (x) − E0 (y )) dx + Ωh
Z
ϕ0 (y ) dH1 (x) , Γh
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Etc.
Thin Structures/Films; 3D → 2D, 3D → 1D dimension reduction Micromagnetics, Ferromagnetics Dislocations and Other Defects Multiscale Problems, Homogenization Etc.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Mathematics and Materials Collaboration
Grain boundaries; interface dynamics, surface motion by surface diffusion
Orientation imaging microscope of (Ni) nickel scale: grains are diameter = 200 microns (CMU MRSEC)
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Dynamics of Energy-Driven Systems Coarsening in thin polymer films
Process is similar to Ostwald ripening, but since droplets grow in height the system is not scaling invariant. Rigorous bounds on rate of coarsening High mobility of droplets results in collision of droplets as a new mechanism of coarsening.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Mesh Generation Algorithms
Liquid crystals, polymer and biological fluids Time = 0.0000 1
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About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Complex Materials
Three dimensional meshing algorithms are under development
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Immune Response Mathematical modeling of immune response to biodefense pathogens
A pivotal player in the immune system - a dendritic cell
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
advanced topics courses working groups workshops and conferences visitors program seminar series scientific report series summer schools outreach: Summer Undergraduate Applied Mathematics Institute (SUAMI) interchange, mobility and internationalization
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2003-2009 Workshops and Conferences
Young researchers are invited to present contributed talks that run on parallel sessions, and are encouraged to apply for financial support.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Frontiers of Applied Analysis
Frontiers of Applied Analysis A Conference on the Occasion of the 15th Anniversary of the Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA l.
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September 8 –10, 2005
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Douglas Arnold (University of Minnesota) Henri Berestycki (École des Hautes Études en Sciences Sociales) Haim Brezis (Rutgers University) Emmanuele DiBenedetto (Vanderbilt University) Weinan E (Princeton University) Ivar Ekeland (Pacific Institute for the Mathematical Sciences, Vancouver) Willi Jäger (University of Heidelberg) Barbara Keyfitz (Fields Institute) Gregory Lawler (Cornell University) Fang-Hua Lin (Courant Institute) Pierre-Louis Lions (Collège de France) Andrew Majda (Courant Institute) Hiroshi Matano (University of Tokyo) Louis Nirenberg (Courant Institute) Stanley Osher (University of California, Los Angeles)
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The list of speakers includes:
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Douglas Arnold Henri Berestycki Haim Brezis Emmanuele DiBenedetto Weinan E Ivar Ekeland Willi J¨ager Barbara Keyfitz Gregory Lawler Fang-Hua Lin Pierre-Louis Lions Andrew Majda Hiroshi Matano Louis Nirenberg Stanley Osher
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Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is June 15, 2005. Graduate students, postdocs and scientists with a recent Ph.D. degree are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is June 30, 2005. http://www.math.cmu.edu/cna Organizers: Irene Fonseca, David Kinderlehrer, Roy Nicolaides, Robert Pego, Shlomo Ta’asan This conference is sponsored by the National Science Foundation, the Office of Naval Research, the Office of Naval Research Global, and the Department of Mathematical Sciences at Carnegie Mellon University.
iv
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
US-Chile Workshops: New Developments in Partial Differential Equations I
Xinfu Chen Gianni Dal Maso Juan Davila Manuel Del Pino Jean Dolbeault Patricio Felmer Irene Fonseca Marta Garcia-Huidobro Ignacio Guerra David Kinderlehrer Mike Kowalczyk Giovanni Leoni Ra´ ul Man´ asevich Juan Manfredi Salom´ e Martinez Alexander Quaas Philippe Souplet Cecilia Yarur
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Workshop: New Trends in Calculus of Variations and Mass Transport Alberto Bressan Almut Burchard Irene Fonseca Nicola Fusco Piotr Hajlas Tadeusz Iwaniec Robert Jerrard David Kinderlehrer Pekka K´ yskela Jan Mal´ y Robert McCann Massimiliano Morini Jani Onninen Aldo Pratelli Dejan Slepˇ cev
Alberto Bressan, Penn State University Almut Burchard, University of Toronto, Toronto, Canada Irene Fonseca, Carnegie Mellon University Nicola Fusco, University of Naples, Naples, Italy Piotr Hajlasz, Tadeusz Iwaniec, Syracuse University Robert Jerrard, University of Toronto, Toronto, Canada David Kinderlehrer, Carnegie Mellon University Pekka Koskela, University of Jyväaskyläa, Jyväaskyläa, Finland Jan Malý, Charles University, Prague, Czech Republic Robert McCann, University of Toronto, Toronto, Canada Massimiliano Morini, SISSA, Trieste, Italy Jani Onninen, Syracuse University Aldo Pratelli, University of Pavia, Pavia, Italy Dejan Slepčev, Carnegie Mellon University Nicola Fusco and Giovanni Leoni Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences
and the National Science Foundation.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Workshop: Workshop on Energy-Driven Systems Giovanni Bellettini Rustum Choksi Inwon Kim Marta Lewicka Chun Liu Govin Menon Alexander Mielke Cyrill Muratov Mark Peletier Matias R¨ oger Maria Westdickenberg Michael Westdickenber Andrej Zlatoˇs
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2001 Multiscale Problems in Nonlinear Analysis Gianni Dal Maso Irene Fonseca Richard James David Kinderlehrer Shlomo Ta’asan Luc Tartar Lev Truskinovsky Noel Walkington Dieter Wolf
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2004 Advances in Nonlinear Analysis
Luigi Ambrosio Maria-Carme Calderer Wilfrid Gangbo Nassif Ghoussoub Irene Fonseca Stefan M¨uller
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2006 Probabilistic and Analytical Perspectives on Contemporary 2006 CNA Summer School
Krzysztof Burdzy Carlos Kenig Ricardo Nochetto Panagiotis Souganidis Srinivasa Varadhan
Probabilistic and Analytical Perspectives on Contemporary PDEs Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA
May 29 – June 6, 2006
Topics will cover: ▶ Essential uses of probability in analysis ▶ Quantitative unique continuation for elliptic, parabolic and dispersive equations, and applications ▶ Adaptive finite element methods for elliptic PDEs ▶ Fully nonlinear stochastic partial differential equations and applications ▶ Interacting particle systems and their scaling limits
List of lecturers: Krzysztof Burdzy, University of Washington Carlos Kenig, University of Chicago Ricardo Nochetto, University of Maryland Panagiotis Souganidis, University of Texas at Austin Srinivasa Varadhan, New York University
Organizers: Irene Fonseca, Giovanni Leoni, Robert Pego, Kavita Ramanan
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2006. Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2006. Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA 15213 Telephone: 412-268-2545 Fax: 412-268-6380 http://www.math.cmu.edu/cna/Summer06 email: [email protected] This conference is sponsored by the National Science Foundation and the Department of Mathematical Sciences at Carnegie Mellon University.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
2008 Contemporary Topics in Nonlinear PDEs Ivar Ekeland Robert Kohn Claude Le Bris Felix Otto Benoit Perthame
2008 CNA Summer School Contemporary Topics in Nonlinear PDEs Center for Nonlinear Analysis Carnegie Mellon University, Pittsburgh, PA
May 29 – June 7, 2008
and Lecturers and Topics: Ivar Ekeland, University of British Columbia ▶ Demand functions and the structure of economic theory
Goran Peskir Albert Shiryaev
Robert Kohn, Courant Institute, New York University ▶ Energy-driven pattern formation
Center for Nonlinear Analysis Carnegie Mellon University Department of Mathematical Sciences Pittsburgh, PA 15213 Telephone: 412-268-2545 Fax: 412-268-6380 email: [email protected] Time = 0.0000 1
Claude Le Bris, École Nationale des Ponts et Chaussées ▶ From molecular theories to continuum elasticity: a possible track
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Felix Otto, University of Bonn ▶ Some PDE problems from materials science
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Benoit Perthame, Université Pierre et Marie Curie ▶ Growth processes and physiologically structured dynamics
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Simulation of singularities in a nematic liquid crystal. Director filed superimposed upon the view through cross polarizers (Walkington).
The Summer School will be held concurrently with the “Heath Lectures on Probability and Mathematical Finance” given by Goran Peskir, University of Manchester and Albert Shiryaev, Moscow University.
Organizers: Irene Fonseca, David Kinderlehrer, Dmitry Kramkov, Giovanni Leoni, Robert Pego, Dejan Slepcev, ˇ Shlomo Ta’asan, Noel Walkington Model of coarsening in thin liquid films; a configuration early in the coarsening stage (Otto, Rump, and Slepcev).
Graduate students and postdocs are encouraged to contribute a presentation for this conference. The deadline for submission of contributed abstracts is March 1, 2008. Advanced undergraduate students, graduate students, and postdoctoral fellows are encouraged to apply for financial support. The deadline for applications is March 15, 2008.
http://www.math.cmu.edu/cna/Summer08
A grain of brass, diameter about 1 cm, separated from an ingot. From the collection of W.W. Mullins.
This conference is sponsored by the Department of Mathematical Sciences and Center of Computational Finance at Carnegie Mellon University and the National Science Foundation.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Outreach
Focuses on undergraduate African-Americans, Hispanics, women, and other under-represented groups, and on students from smaller universities and colleges.
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
Networking Searching for new opportunities Facilitating already existing collaborations Fostering the building of new bridges across different institutions in the US, South America, Europe . . . and China? Encouraging mobility and internationalization Training coming generations of globally competent young researchers 8 institutions network (CMU is the lead) with Courant (NYU), U. Minnesota, Caltech, U. Antwerp (Belgium), U. Bonn (Germany), U. Oxford (UK), SISSA (Italy) on Mathematics, Mechanics and Materials Science • Pattern Formation From Energy Minimization • Challenges in Atomistic to Continuum Modeling and Computing • Pattern Dynamics and Evolution of Material Microstructure
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
About the CNA Goals of the CNA Areas of Research: from Foundational Mathematics to Applied Mathematics to Computational M
More on Networking International School for Advanced Studies (SISSA) in Trieste European TMR on Phase Transitions on Crystalline Solids. Italy, France, UK, Germany, and The Netherlands PIMS (Pacific Institute for the Mathematical Sciences, Vancouver, Banff International Research Station, Canada) Max Planck Institute for Mathematics in the Sciences in Leipzig, Germany The Mathematical Institute at the University of Oxford Applied Mathematics ICTI Program: A joint CMU-Portugal PhD and Postdoctoral Program in Applied Analysis and in Probability, Stochastic Analysis and their Applications Information and Communication Technologies Institute: 5 years, 77 million dollars. ICTI Program 2002 Agreement on Cultural Cooperation (graduate students and research faculty mobility and interchange) with the Universities of Firenze (Italy), Roma Tor Vergata (Italy),
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