One of the symptoms of approaching nervous breakdown is the belief that one's work is terribly important. If I were a medical man, I should prescribe a holiday to any patient who considered his work important.
Bertrand Russell. The Autobiography of Bertrand Russel, Vol.II, Ch.5.
Since October 2001, I am the PhD student of Dr A.Shadrin, in the Numerical Analysis group of the Department of Applied Mathematics and Theoretical Physics of the University of Cambridge, UK, where I am a member of Trinity Hall.
My area of interest is Approximation Theory (functional analysis flavoured) in general, and to be more specific:
My doctoral dissertation, entitled "Small-normed projections onto polynomial and spline spaces", is available here.
On the value of the max-norm of
the orthogonal projection onto splines with multiple knots
Submitted to Journal of Approximation
Theory.
Interlacing property for
B-splines (Preprint here)
Journal of Approximation Theory, Vol 135/1, pp 1-21.
On the best conditioned bases of
quadratic polynomials (Preprint here)
Journal of Approximation
Theory, Vol 130/1, pp 46-56.
On definitions of discrete topological chaos and their relations on intervals
Unsubmitted, part3 essay.
On the value of the
max-norm of the orthogonal spline projection
Constructive theory of functions, Varna, 3rd
June, 05.
Best conditioned bases and
minimal projections
NA seminar, DAMTP, Cambridge, 10th June, 04.
On the least condition number of a basis of quadratic polynomials
Advances in Constuctive Approximation, Nashville, 15th May, 03.
Some inheritance properties for Chebyshev-type spaces
NA seminar, DAMTP, Cambridge, 20th February, 03.