The Experts below are selected from a list of 40071 Experts worldwide ranked by ideXlab platform
Jeanmarc Schlenker - One of the best experts on this subject based on the ideXlab platform.
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productivity and mobility in academic research evidence from Mathematicians
Scientometrics, 2014Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics all over the world, we study the patterns of productivity by Mathematicians over the period 1984---2006. We uncover some surprising facts, such as the weakness of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive "brain drain" towards the US. We also analyze the determinants of success by top US departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
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productivity and mobility in academic research evidence from Mathematicians
2013Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics, we study the patterns of productivity by world Mathematicians over the period 1984-2006. We uncover some surprising facts, such as the absence of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive ”brain drain” towards the U.S. Looking at the U.S. academic market in mathematics, we analyze the determinants of success by top departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
Pierre Dubois - One of the best experts on this subject based on the ideXlab platform.
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productivity and mobility in academic research evidence from Mathematicians
Scientometrics, 2014Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics all over the world, we study the patterns of productivity by Mathematicians over the period 1984---2006. We uncover some surprising facts, such as the weakness of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive "brain drain" towards the US. We also analyze the determinants of success by top US departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
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productivity and mobility in academic research evidence from Mathematicians
2013Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics, we study the patterns of productivity by world Mathematicians over the period 1984-2006. We uncover some surprising facts, such as the absence of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive ”brain drain” towards the U.S. Looking at the U.S. academic market in mathematics, we analyze the determinants of success by top departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
Manuel J Garciaislas - One of the best experts on this subject based on the ideXlab platform.
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quantum geometry i basics of loop quantum gravity the quantum polyhedra
arXiv: General Relativity and Quantum Cosmology, 2019Co-Authors: Manuel J GarciaislasAbstract:General Relativity describes gravity in geometrical terms. This suggests that quantizing such theory is the same as quantizing geometry. The subject can therefore be called quantum geometry and one may think that Mathematicians are responsible of this subject. Unfortunately, most Mathematicians are not aware of this beautiful area of study. Here we give a basic introduction to what quantum geometry means to a community working in a theory known as loop quantum gravity. It is directed towards graduate or upper students of physics and mathematics. We do it from a point of view of a mathematician.
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quantum geometry i basics of loop quantum gravity
Revista Mexicana De Fisica E, 2019Co-Authors: Manuel J GarciaislasAbstract:General Relativity describes gravity in geometrical terms. This sug- gests that quantising such theory is the same as quantising geometry. The subject can therefore be called quantum geometry and one may think that Mathematicians are responsible of this subject. Unfortunately most Mathematicians are not aware of this beautiful area of study. Here we give a basic introduction to what quantum geometry means to a com- munity working in a theory known as loop quantum gravity. It is directed towards graduate or upper students of physics and mathematics. We do it so from a point of view of a mathematician.
Jeancharles Rochet - One of the best experts on this subject based on the ideXlab platform.
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productivity and mobility in academic research evidence from Mathematicians
Scientometrics, 2014Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics all over the world, we study the patterns of productivity by Mathematicians over the period 1984---2006. We uncover some surprising facts, such as the weakness of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive "brain drain" towards the US. We also analyze the determinants of success by top US departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
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productivity and mobility in academic research evidence from Mathematicians
2013Co-Authors: Pierre Dubois, Jeancharles Rochet, Jeanmarc SchlenkerAbstract:Using an exhaustive database on academic publications in mathematics, we study the patterns of productivity by world Mathematicians over the period 1984-2006. We uncover some surprising facts, such as the absence of age related decline in productivity and the relative symmetry of international movements, rejecting the presumption of a massive ”brain drain” towards the U.S. Looking at the U.S. academic market in mathematics, we analyze the determinants of success by top departments. In conformity with recent studies in other fields, we find that selection effects are much stronger than local interaction effects: the best departments are most successful in hiring the most promising Mathematicians, but not necessarily at stimulating positive externalities among them. Finally we analyze the impact of career choices by Mathematicians: mobility almost always pays, but early specialization does not.
Musielak Dora - One of the best experts on this subject based on the ideXlab platform.
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Sophie Germain: revolutionary mathematician
'Springer Science and Business Media LLC', 2020Co-Authors: Musielak DoraAbstract:Sophie Germain stood right between Gauss and Legendre, and both publicly recognized her scientific efforts. Unlike her female predecessors and contemporaries, Sophie Germain was an impressive mathematician and made lasting contributions to both number theory and the theories of plate vibrations and elasticity. She was able to walk with ease across the bridge between the fields of pure mathematics and engineering physics. Though isolated and snubbed by her peers, Sophie Germain was the first woman to win the prize of mathematics from the French Academy of Sciences. She is the only woman who contributed to the proof of Fermat’s Last Theorem. Sophie Germain – Revolutionary Mathematician paints a rich portrait of the brilliant and complex woman, including the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. In this unique biography, Dora Musielak has done the impossible―she has chronicled Sophie Germain’s brilliance through her life and work in mathematics, in a way that is simultaneously informative, comprehensive, and accurate
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Germain and Her Fearless Attempt to Prove Fermat's Last Theorem
2020Co-Authors: Musielak DoraAbstract:Two centuries ago, Sophie Germain began to work on her grand plan to prove the theorem of Fermat, the famous conjecture that $x^n + y^n = z^n$ is impossible for nonzero integral values of $x$, $y$, and $z$, when $n > 2$. At that time, this was an open question since nobody knew whether Fermat's assertion was true. Euler had proved it for $n = 3$ and $n = 4$. However, no one else had demonstrated the general case. Then Sophie Germain valiantly entered the world of mathematics in 1804, reaching out to Gauss (writing under the assumed name Monsieur Le Blanc) boldly stating that she could do it. Eventually, Germain conceived a formidable plan for proving Fermat's Last Theorem in its entirety, and in the process she obtained proofs of Case 1 for particular families of exponents. Her efforts resulted in Sophie Germain's Theorem that proves Case 1 of FLT for an odd prime exponent $p$ whenever $2p + 1$ is prime. Today, a prime $p$ is called a Sophie Germain prime if $2p + 1$ is also prime. It remains an unanswered question whether there are an infinite number of Sophie Germain primes. But there is more that Germain did in number theory, much of which was veiled by the Mathematicians with whom she shared her work. This article provides historical details of Sophie Germain's efforts, written with the sole intention of paying homage to the only woman mathematician who contributed to proving the most famous assertion of Fermat.Comment: Paper replaced to update citation to second edition (2020) book published biography by autho
