Antonio
R. Vargas
Masters student
Chase
Building, Room 226
Department of Mathematics
and Statistics
Dalhousie University
Halifax, Nova
Scotia B3H 1Z9
antoniov (at)
mathstat (dot) dal (dot) ca
My CV.
Research Interests
I'm
primarily interested in studying the zeros of polynomials of a single
complex variable (locating them, counting them, examining asymptotic
distributions in families, etc.) from the standpoint of classical
analysis.
Papers
Zeros and convergent subsequences of Stern polynomials
A. Vargas
(submitted)
[arXiv]
Interlacing
and non-orthogonality of spectral polynomials for the Lamé operator
A. Bourget, T. McMillen, and A.
Vargas
Proceedings of the American
Mathematical Society, 137 (2009), No. 5,
pp. 1699–1710.
[AMS,
arXiv]
Misc. Notes
Asymptotic bound for a particular
sum, answering a question of Qiaochu Yuan
Background
I received my
BA in mathematics from California State
University, Fullerton.
Some cool web pages
The Beauty of Roots
John Baez
http://math.ucr.edu/home/baez/roots/
Some cool papers by other
people
On the number of distinct zeros of polynomials
M. S. Klamkin and D. J. Newman
The American
Mathematical Monthly, 66 (1959), No.
6, pp. 494-496.
[JSTOR]
Finite
Calculus: A Tutorial for Solving Nasty Sums
David Gleich
[pdf]
Some cool books
Marden, Geometry
of Polynomials
Halmos, Naive
Set Theory
Alexandroff, Elementary
Concepts in Topology
Olds, Continued
Fractions
Kazarinoff, Geometric
Inequalities