http://www3.u-cergy.fr/hebey/

Professeur des universités

Géométrie Riemannienne et analyse géométrique
Analyse non linéaire sur les variétés
Equations aux dérivées partielles

Emmanuel Hebey. Professor of mathematics.
Research interests in Partial Differential Equations and the Calculus
of Variations, Geometric Analysis, and Differential Geometry.
Born on april 10, 1964 at Paris, France.
Studies at the University of Paris 6.  PhD in 1990 and «habilitation à
diriger des recherches» in 1991.
Associate professor at the University of Paris 6 from 1990 to 1993.
Full professor at the University of Cergy-Pontoise since 1993.
Awarded the «Marie Guido Triossi» price of the French Academy of 
Sciences in 1995.
Director of the math department (1994-1997).
Director of the math research lab (1997-2004).
Member of the scientific board of the university (2008-2016).
Editorial boards:
International Journal of Differential Equations,
International Mathematics Research Notices (principal editor),
Potential Analysis.
PHD Students: Marie Dellinger, Zindine Djadli, Olivier Druet, Antoinette
Jourdain, Benoit Pausader, Bruno Premoselli, Frédéric Robert, Nicolas Saintier,
Pierre-Damien Thizy, Jérôme Vétois.

Mathematicians who were born or died on today

http://www.imada.sdu.dk/~hjm/

http://www.imada.sdu.dk/~hjm/heegaard.html

Poul Heegaard (1871 - 1948),

a home page, created by Ellen S. and Hans J. Munkholm.

Poul Heegaard was a professor of mathematics at Copenhagen University 1910 - 1917 and at Christiania (later Oslo) University 1918 - 1941.  Today he is best known for his contributions to the study of three-manifolds; in fact Heegaard splittings and Heegaard diagrams are household words in that area, unfortunately often with the name misspelled as Heegard or even Hegard.

In addition, many topologists will know that Heegaard gave a counter example to Poincaré\'s first formulation of his duality theorem, and that Heegaard and Dehn\'s article Analysis Situs (1907, in the Enz. der Math. Wissenschaften) marks the foundation of combinatorial topology. 

https://people.maths.ox.ac.uk/joyce/

My research is mostly in Differential Geometry, with occasional forays into some more esoteric areas of Theoretical Physics, and more recently diversions into Algebraic Geometry and Symplectic Geometry. It is difficult to explain the ideas involved to someone who is not already mathematically literate to beyond degree level, and it\'s not easy to explain the point of it even to someone who is, but here goes.

Nowadays, geometry is not about triangles and circles and Euclid, who went out with the Ark. Instead, the up-to-date geometer is interested in manifolds. A manifold is a curved space of some dimension. For example, the surface of a sphere, and the torus (the surface of a doughnut), are both 2-dimensional manifolds.

Manifolds exist in any dimension. One branch of geometry, called manifold topology, aims to describe the shape of manifolds, using algebraic invariants. For example, the sphere and the torus are different manifolds because the torus has a \'hole\', but the sphere does not. In higher dimensions manifolds become very complicated, both to describe topologically, and to imagine in a meaningful way.

Another branch of geometry is the study of geometrical structures on manifolds. Here the manifold itself is only the background for some mathematical object defined upon it, as a canvas is the background for an oil painting. This kind of geometry, although very abstract, is closer to the real world than you might think. Einstein\'s theory of General Relativity describes the Universe - the whole of space and time - as a 4-dimensional manifold.

Space itself is not flat, but curved. The curvature of space is responsible for gravity, and at a black hole space and time are so curved they get knotted up. Everything in the universe - light, subatomic particles, pizzas, yourself - is described in terms of a geometrical structure on the space-time 4-manifold. Manifolds are used to understand the large-scale structure of the Universe in cosmology, and the theory of relativity introduced the idea of matter-energy equivalence, which led to nuclear power, and the atomic bomb.

more

http://www.ms.u-tokyo.ac.jp/~hirachi/

Kengo Hirachi
Professor

Graduate School of Mathematical Sciences
The University of Tokyo
3-8-1 Komaba, Meguro
Tokyo 153-8914, Japan

Email: hirachi@ms.u-tokyo.ac.jp
Phone (office): 81-3-5465-7032
Room number: 411
How to get here

Mathematics Research

• Curriculum vitae
• Research Interest: CR geometry, parabolic invariant theory, the Bergman kernel
  Here you can find my papers. Please feel free to contact me.

http://www.cas.cn/ys/gzdt/200912/t20091207_2685013.shtml

http://teacher.scu.edu.cn/ftp_teacher0/plg/

 四川大学数学系

李代数

http://www.ias.edu/people/faculty-and-emeriti/sarnak

Peter Sarnak has made major contributions to number theory and to questions in analysis motivated by number theory. His interest in mathematics is wide-ranging, and his research focuses on the theory of zeta functions and automorphic forms with applications to number theory, combinatorics, and mathematical physics.

Waldyr Alves Rodrigues Jr.

http://www.ime.unicamp.br/~walrod/