Luís Barreira and Claudia Valls have published Sistemas Dinâmicos via exemplos though ISTPRESS. This is a large collection of problems, with detailed solutions, dealing with the core theory of dynamical systems. It can be used as a complement to a main text on the subject, in particular with the authors’ Sistemas Dinâmicos, uma introdução.
Course on Martingale problem and lumpability for Markov processes 2019-02-18 — 2019-03-14
A one month course by Johel Beltrán, Pontificia Universidad Católica del Perú, with sessions Mon, Wed, Thu, from 14:00 to 16:00, February 18 to March 14 2019. Room 5.18, Mathematics Building on the IST Alameda campus.
The martingale problem is an important tool in probability theory introduced by Stroock and Varadhan as an approach to Markov processes. The purpose of this course is to present a detailed introduction to the martingale problem theory as well as a review of recent applications to the study of two different subjects:
metastability of zero range processes and
Kingman’s process as scaling limit for coalescing random walks.
Interestingly, they both will be tackled as instances of a more general problem: lumpability for Markov processes.
Mini-course on Hydrodynamic limit of particle systems on resistance spaces 2019-01-25 — 2019-02-06
The goal of the mini-course by Joe Chen is to describe the recent progress on establishing scaling limits of many-particle systems on state spaces which are bounded in the resistance metric, a.k.a. "resistance spaces." These include trees, fractals, and random graphs arising from critical percolation. As a concrete example, one can establish scaling limits of the weakly asymmetric exclusion process on the Sierpinski gasket interacting with 3 boundary reservoirs, which generalizes (in a nontrivial way) the analysis on the unit interval interacting with 2 boundary reservoirs.
The key ideas behind these results will be explained, and connections to the analysis of (S)PDEs, and issues of non-equilibrium statistical physics, on resistance spaces will be discussed. From a technical point of view, some novel functional inequalities for the exclusion process that relates to electrical resistance will be addressed, and the way they are used to effect "coarse-graining" in passing to the scaling limits will be described.
la Caixa Doctoral INPhINIT Fellowships 2019-01-01 — 2019-02-06
The doctoral fellowship programme INPhINIT “la Caixa” is devoted to attracting talented Early-Stage Researchers-of any nationality-who wish to pursue doctoral studies in Spanish or Portuguese territory. Sponsored by ”la Caixa” Foundation, it is aimed at supporting the best scientific talent and fostering innovative and high-quality research in Spain and Portugal by recruiting outstanding international students and offering them an attractive and competitive environment for conducting research of excellence.
The doctoral INPhINIT fellowships offer a highly competitive salary and complementary opportunities for training on transferrable skills (through the collaboration of leading entities such as Vitae and Oxentia), temporary stays in industry, incentives upon completion of the thesis, among other elements that make these fellowships some of the most attractive and complete in Europe.
At CAMGSD, the INPhINIT Programme 2019 positions are offered in the following topics:
JB*-triples and Tits-Kantor-Koecher Lie algebras
General Toeplitz Operators and Riemann-Hilbert Problems
Symplectic and Related Geometries
String Theory and Quantization
Calculus of Variations and Applications to the Mechanics of Materials
Article by Ricardo Schiappa highlighted 2018-02-14
The article Resurgence matches quantisation, by Ricardo Couso-Santamaría, Marcos Mariño and Ricardo Schiappa, was selected as one of the best papers published in 2017 in the Journal of Physics A: Mathematical and Theoretical.
Graduate research grants 2018-02-16 — 2018-03-02
CAMGSD opened a call for three Graduate research grants, intended for students enrolled in a Master program. The selected candidates are supposed to carry out research work in the thematic areas of the Center and be supervised by one of its members.
Born in 1949, he got his PhD in mathematics in 1969 at Princeton University under the supervision of Elias Stein. In 1971 he became full professor at the University of Chicago, being the youngest full professor in the US. In 1973 he returned to Princeton University where he has remained ever since.
Charles Fefferman’s primary field of research is mathematical analysis, where he made important and fundamental contributions to Fourier analysis. He also published an important work on physics-mathematics, conformal geometry and fluid mechanics.
Fefferman is one of the most talented mathematicians of all times and has been awarded some of the most prestigious prizes in the fields of Mathematics and Science: Fields Medal (1978), Wolf Prize (2017), Alan T. Waterman Award (1976), Salem Prize (1971), Bergman Prize (1992), Bôcher Prize (2008), American Academy of Arts and Sciences (1972), National Academy of Sciences (1979), among many others.
Thematic period in Resurgent Asymptotics in Physics and Mathematics 2017-10-09 — 2017-12-15
Mini-course on Entropy Methods in Particle Systems 2017-11-15 — 2017-11-23
The goal of this course by Milton Jara, IMPA, is to present the Relative-Entropy Method of Yau in the context of general continuous time Markov chains, as well as recent advances obtained in collaboration with Otávio Menezes (IST Lisbon). The course targets students at the master or PhD level, but can also be suitable for advanced undergraduate students in mathematics. The only requirement is to be acquainted with the equivalent of an introductory course on Markov chains.
XXVI International Fall Workshop on Geometry and Physics 2017-09-04 — 2017-09-07
The Fall Workshops on Geometry and Physics have been held yearly since 1992, and bring together Spanish and Portuguese geometers and physicists, along with an ever increasing number of participants from outside the Iberian peninsula. The meetings aim to provide a forum for the exchange of ideas between researchers from different backgrounds, and always include a substantial number of enthusiastic young researchers amongst the participants.
ERC Grant awarded to Patrícia Gonçalves 2016-09-13
Patrícia Gonçalves, researcher at CAMGSD and an Associate Professor at the Instituto Superior Técnico since May 2016, has been awarded an ERC Starting Grant of 1,180,000€ for 5 years. This is the first time the European Research Council has granted this award to a mathematician working in Portugal.
The funded research project aims at characterizing the universality of the macroscopic behavior of some physical systems from underlying microscopic stochastic dynamics, by deriving the macroscopic laws, namely, (stochastic) partial differential equations, which govern the space-time evolution of the thermodynamic quantities of those physical systems.
CAMGSD at the Encontro Ciência ’17 2017-07-03 — 2017-07-05
Jorge Drumond Silva, João P. Nunes and M. Cristina Câmara participated in a thematic session: Mathematics — Waves, Geometry, Dynamics, Operators and Economic Models at the Encontro Ciência ’17, taking place from July 3rd to July 5th, 2017 at the Lisbon Congress Center.
Call for Applications — Hylef Project Doctoral and Postdoctoral Grants 2016-12-22 — 2017-02-15
The research program on Hydrodynamic Limits and Equilibrium Fluctuations: universality from stochastic systems, coordinated by Patrícia Gonçalves, invites applications for doctoral and postdoctoral positions for research in Mathematics / Probability at the Center for Mathematical Analysis, Geometry, and Dynamical Systems of the Instituto Superior Técnico at the University of Lisbon in Portugal.
CAMGSD opened a call for two Graduate research grants, intended for students enrolled in a Master program. The winning candidates will do research work in the thematic areas of the Center and will be supervised by, at least, one of its members. Details in Portuguese are available from http://ist-id.pt/concursos/bolsas/ (local copy).
Hugo Tavares awarded prize 2016-09-14
Hugo Tavares, CAMGSD Researcher and Assistant Professor at the Faculty of Sciences of the University of Lisbon, was awarded the Universidade de Lisboa / Caixa Geral de Depósitos Scientific Prize of 6,500€ in the field of Pure and Applied Mathematics. The selection committee assessed the scientific merit of the research work of the candidates in 2011-2015.
Leonor Godinho Invited Speaker at ECM 2016-07-18 — 2016-07-22
CAMGSD in the Ciência 2016 meeting 2016-07-04 — 2016-07-06
The Encontro Ciência 2016 about national scientific and technological activities will be held July 4 - July 6.
CAMGSD will be present in the technical meeting about research in Mathematics and its Applications on Wednesday July 6, 11:30am.
Chair: Carlos Rocha
João Costa Global uniqueness in general relativity: the strong cosmic censorship conjecture.
Hugo Tavares Phase separation in competitive nonlinear systems and applicationsto shape optimization problems.
Ana Patrícia Gonçalves Universality from microscopic stochastic dynamics.
Postdoctoral Fellow in Mathematical Relativity 2016-06-03 — 2016-06-30
A postdoctoral fellowship is available at the Mathematical Relativity Group in CAMGSD.
The fellowship is within the area of the GPSEinstein grant, namely global properties of solutions of the Einstein equations, hyperbolic partial differential equations, cosmic censorship and the formation of singularities in general relativity.
Between October 1, 2016 and January 1, 2017.
Conditions of award:
Applicants must have obtained a PhD degree in mathematics or related area and a relevant research record in the areas of the GPSEinstein grant.
Preference will be given to candidates with PhD degrees awarded in the last 6 years.
Candidates should send the following documents by email to firstname.lastname@example.org, before June 30, 2016:
The Mathematical Relativity Group in CAMGSD: At present, our group is composed of 4 faculty members (João L Costa, Pedro Girão, José Natário and Jorge D. Silva), 3 postdoctoral fellows (Artur Alho, Luis F. Costa and Anne Franzen) and 1 PhD student (Pedro Oliveira).
CAMGSD opened a call for three Graduate research grants, intended for students enrolled in a Master program. The winning candidates will do research work in the thematic areas of the Center and will be supervised by, at least, one of its members. Details in Portuguese are available from:
CAMGSD will offer six Graduate research grants, intended for students enrolled in a Master program. The winning candidates will do research work in the thematic areas of the Center and will be supervised by, at least, one of its members. The fellowships will run from: May 2016 to August 2017 (2 grants) and September 2016 to August 2017 (4 grants). The call is expected to open in February 2016.
José Natário in Antena 2 show on the 100 years of General Relativity 2015-12-11
One hundred years ago, in December, Einstein presented the Theory of General Relativity and the world changed forever. First of four Antena 2 Science programs in Portuguese dedicated to Einstwein's scientific revolution, with the mathematician and CAMGSD member José Natário and the theoretical physicist Vitor Cardoso.
Oswald Veblen Prize 2016 awarded to André Neves 2015-11-27
André Arroja Neves, Professor of Imperial College, UK, colaborator and frequent visitor of CAMGSD, was awarded, jointly with Codá Marques from Princeton University, the 2016 Oswald Veblen Prize by the American Mathematical Society. This distinction celebrates his contribuitions in topology and differential geometry, and stresses the solution of the Willmore Conjecture.
André Neves is a former student of the Licenciatura em Matemática Aplicada e Computação and was a lecturer at the Department of Mathematics of Instituto Superior Técnico. He will be one of the speakers at the 1st Meeting of Mathematics Students which will be held at Técnico in March 2016.
Call for postdoctoral positions 2016-2017 2015-11-11 — 2015-12-14
Highlighted article by JL Costa, PM Girão, J Natário and J Drumond Silva 2015-11-03
The article On the global uniqueness for the Einstein-Maxwell-scalar field system with a cosmological constant: I Well posedness and breakdown criterion by JL Costa, PM Girão, J Natário and J Drumond Silva was selected as one of the Classical and Quantum Gravity's Highlights of 2014-2015. Highlighted articles represent the most original and high interest work published in the journal.
Research paper on clock synchronization goes viral 2015-07-28
During one week, high school students will be exposed to the geometric ideas of Relativity through a series of activities.
George Sell (1937-2015) 2015-05-29
It is with the deepest regret that we announce the passing of Professor George Sell. His support to the Centro de Análise Matemática, Geometria e Sistemas Dinâmicos through its Advisory Board since 2009 was deeply felt and greatly appreciated.
John Huerta to give Levi S. Conant Lecture 2014-04-18
John Huerta will give a lecture entitled Symmetry in Mathematics and Physics at Worcester Polytechnic Institute (WPI) on April 18, 2014, at 3 pm.
Huerta will explore the fascinating tale of symmetry, from its codification into a powerful tool called group theory by mathematicians in the 19th century, to its rise to the center of fundamental physics in the 20th century, and its evolution and influence today.
The lecture is part of WPI's Levi L. Conant Lecture Series, featuring Conant Prize winners.
Applications to LisMath — Lisbon Mathematics PhD 2014-02-03 — 2014-03-31
Applicationsfor the first 9 LisMath Scholarships will be open February 3 — March 31, 2014.
Call for research fellowhips in the framework of the Geometry and Mathematical-Physics Project 2014-02-26 — 2014-03-17
The Geometry and Mathematical Physics project (GMP) of Instituto Superior Técnico, Lisbon, Portugal, invites applications for research fellowships in mathematics within one of the research areas of GMP.
The Summer School is aimed at primary and secondary school teachers, undergraduate university students, and researchers but can be followed by general public interested in mathematics and its applications. Its main objective is to provide an opportunity to explore and discuss important aspects of Mathematics and its applications through plenary and thematic sessions, short courses and exhibitions.
The Summer School receives financial support from CAMGSD, CMAF, and Ciência Viva.
Conference LARSyS 2013 - Robotics and Systems in Engineering and Science 2013-07-04 — 2013-07-05
The program includes oral presentations and debates led by researches involved in the interdisciplinary projects of LARSyS and is oriented towards issues associated with knowledge strategies emerging both in Portugal and abroad.
Investigadores FCT @ CAMGSD
Congratulations to the three researchers who won competitive Investigador FCT Positions at our Center:
David Martinez Torres
John Huerta awarded the 2013 AMS Levi L. Conant Prize
John Huerta, who is just starting his postdoctoral position at CAMGSD, will be receiving the 2013 AMS Levi L. Conant Prize jointly with John Baez of the University of California, Riverside. The Conant Prize recognizes the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding five years. The prize will be awarded on Thursday, January 10, 2013, at the Joint Mathematics Meetings in San Diego.
The Iberian Strings 2013 meeting is the fourth meeting of the Iberian Strings series, superseding previous editions of the Workshop on Gravitational Aspects of Strings and Branes and of Northwest Strings. These meetings bring together a large part of the string theory community of Spain and Portugal and aim at discussing recent advances in the field of strings and branes.
CAMGSD Postdocs 2012
The two CAMGSD 2012 Postdoctoral fellowships have been awarded to the following researchers:
John Huerta, currently at Australian National University in Canberra, will hold a CAMGSD post doc position starting January 10, 2013.
Milena Pabiniak. Milena, currently at Cornell University, will hold a CAMGSD post doc position starting January 1, 2013.
Doctoral Programme in Mathematics at Instituto Superior Técnico 2012/13
The deadline for application to the Doctoral Programme in Mathematics at Instituto Superior Técnico was January 31, 2012.
LARSyS Lecture Series in Engineering and Mathematics 2011-11-08
A new Lecture Series sponsored by CAMGSD in the framework of the Associate Laboratory LARSyS started on November 8, 2011.
New faces at CAMGSD
As usual the new academic year has brought lots of new faces to CAMGSD. These include post-doctoral fellowsDaniele Sepe, João Esteves, Matias del Hoyo, Pedro Vaz and Xavier Roulleau, and doctoral studentsRoberto Machado Velho and Sinan Eden.
CAMGSD is now a part of the Associate Laboratory LARSyS
It is with the deepest regret that we announce the passing of Professor Jack Hale. His continued support during the years was felt under a great many number of forms, starting with his direct support to the Mathematics Department in its launch of its Master Programme in 1984, and including his support to the Centro de Análise Matemática, Geometria e Sistemas Dinâmicos through its Advisory Board.
His contribution to the Development of Department of Mathematics was recognized by Instituto Superior Técnico with the award of a Honoris Causa Doctorate through Universidade Técnica de Lisboa in 1991. In 1999 the Center organized at IST an International Conference in his honor under the title Dynamical Systems and Evolutionary Equations. It is impossible to overestimate his contribution to the development of CAMGSD.