How can we know if a proof is correct? People often imagine that it suffices for a mathematician to make the effort to read it carefully, line by line, after having taken note of the definitions and known results that might be of use. If certain questions are unresolved, as to be sure some are, we would known precisely which ones, and the work of the researcher would consist uniquely of resolvi...

The death of Colonel Paul Bush, which occurred on the 7th October, at the age of 73, deprived Bristol of a publicspirited citizen, and the medical profession of a popular and distinguished member. Throughout his life he devoted a great deal of time and energy to public services and to the promotion of various organizations apart from his hospital or private practice, and it was characteristic o...

P h o to g ra p h s , u n le s s o th e rw is e n o te d , c o u rt e s y o f T h é rè s e M a ll ia v in . On June 3, 2010, Paul Malliavin died at the American Hospital in Paris. At the time of his death, he was four months short of his eighty-fifth birthday. Malliavin was a major mathematical figure throughout his career. He studied under Szolem Mandelbrojt, who had returned to France after W...

Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/fun/notes 2016-17/02 banach.pdf] 1. Basic definitions 2. Riesz’ Lemma 3. Counter-examples for unique norm-minimizing element 4. Normed spaces of continuous linear maps 5. Dual spaces of normed spaces 6. Banach-Steinhaus/uniform-boundedness theorem 7. Open mapping theorem 8. C...

My memoirs of Paul Erdős will be almost all entirely personal, but I would like to begin with two small incidents illustrating attitudes of the mathematical community and the wider world to Paul. Both took place on trains. After I received my copy of the two-volume work The Mathematics of Paul Erdős [13] (published just after Paul’s death), I was reading it on the train home from work. Sitting ...

This document provides a glossary of terms used in the IETF when discussing internationalization. The purpose is to help frame discussions of internationalization in the various areas of the IETF and to help introduce the main concepts to IETF participants.

The purpose of this note is to give a “coordinate free” construction and prove the uniqueness of the vertex algebroid which gives rise to the chiral de Rham complex of [GMS]. In order to do that, we adapt the strategy of [BD] to the setting of vertex agebroids. To this end we show that the stack EVAX of exact vertex algebroids on X is a torsor under the stack in Picard groupoids ECAX of exact C...

Caltech neuroscientist Paul Patterson, whose career spanned developmental neurobiology, behavioral neuroscience, and neuroimmunology, passed away on June 25 at the age of 70 from an aggressive brain tumor. Patterson was a pioneer and an iconoclast who was not afraid to work outside of the scientific mainstream; consequently, he made a number of important and seminal contributions that opened up...