Research interests: Dynamical systems provide a general
framework for my research, which, like my affiliations so far, has
connections with physics, mathematics, and
statistics. Below are the broad areas of interest to me:
- Data assimilation: This refers to the methods for
incorporation of noisy observations of a system into an
incomplete dynamical model of that system. This problem is
pertinent to a variety of applications, including weather and
climate prediction.
- Nontwist systems: Topics of interest are numerical
study of the bifurcation phenomena and breakup of invariant
circles in nontwist systems, such as the meandering jet of the
Gulf stream in the Atlantic ocean,
- Renormalization: Study of critical Hamiltonian
systems (invariant circles or tori) in terms of
renormalization group operators
Experience:
- Fellow, TIFR Centre
for Applicable Mathematics, Bangalore, 2007
-
- Postdoctoral
fellow, MSRI
(Mathematical Sciences Research Institute), Berkeley
CA, USA: January-May 2007
- Postdoctoral
fellow, Dept. of
Mathematics, University
of North Carolina, Chapel Hill NC, USA and
SAMSI (Statistical and
Applied Mathematical Sciences Institute), Durham NC, USA:
January 2005 - December 2006
- Graduate research and teaching
assistant, Department of
Physics,
University of Texas at
Austin, Austin TX, USA: August 1996 - May
2004
Mailing Address :
Tata Institute of Fundamental Research Centre
Centre For Applicable Mathematics
Post Bag No. 6503, GKVK Post Office
Sharada Nagar, Chikkabommasandra
Bangalore 560065 India
Office : Room 103
Office phone : +91 80 6695 3725 (can receive fax)
Inst. phone : +91 80 6695 3790 - 95
Inst. fax : +91 80 6695 3799
Email : apte __that's the username__ AT math tifrbng res in
replace the spaces here by dot ---^ ^ ^
Some news: Ruth has a brand new blog (in spanish):
Ruth Yazmin Pineda -- Creado para estar mas cerca de mi
Familia en Colombia.
