Mail: Kijti Rodtes, Room J10
Department of Pure Mathematics,
University of Sheffield, Hicks Building,
Sheffield, S3 7RH, UK.
Phone: (44)7809 627 817 (mobile)
(0114) 2223725 (direct)
(0114)222-3801 (office)
Email: pmp06kr@sheffield.ac.uk
kijti_1981@hotmail.com
I am a Ph.D. student of Prof.John Greenlees in the Department of Pure Mathematics at the University of Sheffield.
I come from Phitsanulok, a city located in the north part of Thailand.
I began to study at the University of Sheffield on 1 October 2006 in Mphil-Ph.D. research program.
My study here is fully supported by Royal Thai Government Scholarship.
Curriculum vitae
This is, see, my education curriculum vitae in the past before I came to UK.
My research
I am doing research in some parts of Algebraic topology. My thesis topic is "The connective K-theroy of finite groups".
Main task is the calculation of both real and complex of both homology and cohomology theory by using the process developed by Prof.J.P.C.Greenlees
and Prof R.R.Bruner. The initial calculation is to compute connective complex K-cohomology theory of BG, ku*(BG), as a ring.
To do this, we use Adams spectral sequence to find the additive basis structure and representation theory do a big role in the multiplicative one.
From this result, we can obtain ku_{*}(BG) as a module over ku*(BG) by working on Greenlees spectral sequence.
Moreover, if we apply Bockstein spectral sequence on ku*(BG), we reach to ko*(BG). Finally, ko_{*}(BG) can gain in two way,
i.e by using Greenlees spectral sequence for ko*(BG) or Bockstein spectral sequence for ku_{*}(BG).
Here is my thesis draft in the calculation part of ku*(BSD_{16}) and ku_{*}(BSD_{16}).
The first application aims to investigate Gromov-Lawson-Rosenberg (GLR) conjecture.
Talks
I gave a talk in Postgraduated seminar two times(Equivariant K theory, connective K theroy of finite groups;2008-11-05) ,
and one time(The connective k theory of a semidihedral group;2009-04-30) in Topology seminar.
Why do we have to do research in Pure mathematics?
I quite belive that some(of course me!) of pure mathematicians are used to hearing these question:
How can pure mathematics change the world?
What will happen if pure mathematics disappear?
I would like to collect all of your opinions and display the answer to this webpage. Please answer these questions to my email shown as above.
Links
1.TTT(Transpennine Topology Triangle)
2.BTM(British Topology Meetings).
3.MAGIC
4.Naresuan university,Thailand.
5.Midwest Topology Network
6.AMS Sectional Meetings
7.Fall 2009 AMS Eastern Section Meeting Special Session on Homotopy Theory