Sunday, October 23, 2016

I am still remembered in mathematics

During a selfsearch I find:
"The following is a very strong theorem.
Theorem 3.6 (Swarup [Swa]). If X is a connected metrizable space which admits a uniform convergence group action, then X is locally connected and contains no cut points."
i did not see it this way. This seems to refer to a theorem in which Brian Bowditch did 90 percent of the work and I put two and two together. That was done twenty years ago.
I am of course more pleased with the current work with Peter Scott and Lawrence Reeves about Poincare Duality pairs where we seem to have proved that their canonical decompositions depend only on the group and not on the boundary. The earlier work took only a week and this is going on even after three and half months. Possibly harder work gives more satisfaction though it is not clear which is more significant. One of the best things that I have done took place during a train journey of two hours in 1977. I was visiting Jo in Southampton, who is still a good friend and is still in touch. The 1977 work and the current work are related.

Tuesday, September 27, 2016

Completing the first stage in a mathematics program

Trying to revise old papers led to a new observation which took three months to complete. Being rusty, I am still not sure whether it is completely correct or not. Since there are a couple of collaborators, it seems that some thing may come out of it. In any case two old unpublished papers, again with collaborators, are being completed. So, very few posts in the next few months.

Sunday, July 17, 2016

Some changes

I have my first cell phone. At the end of of shopping, a few times it was difficult to contact Jhansi and I had to walk home. She got a new phone and gave me her old one. Apart from not getting lost in shopping centres, I am not sure what I am going to do with it.
I seem to have got in to some rhythm with my mathematics. Getting some new results, understanding some old ones better. Collaborating with an ex-student and I guess that the current problems will keep us busy for an year or so.

Friday, June 24, 2016

A dent to the founder's dream

"Europe’s nations should be guided towards the Super-state without their people understanding what is happening. This can be accomplished by successive steps, each disguised as having an economic purpose, but which will eventually and irreversibly lead to federation.” Said Jean Monnet according to

Saturday, June 11, 2016

Still doing mathematics

Since January of this year, I have been busy with mathematics after a long absence. A collaborator visited to complete some old work. Around the time he left, I found a new paper dealing in a comprehensive way some things that I did not understand back in the nineties. Reading half of that paper took two months and it started me thinking about some related problems. It may not lead to any new work but would clarify some stuff for me in an area I worked for a long time. So, posts will be infrequent for a few more months I think. Meanwhile I have been posting on Facebook.