Antonio R. Vargas

My CV.

(My email address can be found in there.)

I'm on github. Here's an overview of my repos.

I'm also on Math.StackExchange:

Math.StackExchange is a questions and answers site for mathematics.

Statistical Interests

I'm currently working as a researcher in the Oregon Division of Financial Regulation. Outside of my job I'm interested in topics relating to demographics or education. Most of my work is done from a Bayesian perspective.

Mathematical Interests

My mathematical research focused on studying the zeros of polynomials of a single complex variable (locating them, counting them, examining asymptotic distributions in families, etc.). I know a little about the Riemann-Hilbert method of asymptotic analysis and how it relates to these types of problems.

Misc. Notes

Papers

The Saff-Varga Width Conjecture and entire functions with simple exponential growth

Antonio R. Vargas

Constructive Approximation, 49 (2019), No. 2, pp. 307-383.

[SpringerLink, SharedIt, preprint (PDF)]

Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group

Karel Dekimpe, Sam Tertooy, and Antonio R. Vargas

Preprint.

[arXiv]

Limit curves for zeros of sections of exponential integrals

Antonio R. Vargas

Constructive Approximation, 40 (2014), No. 2, pp. 219-239.

[SpringerLink, arXiv]

Zeros and convergent subsequences of Stern polynomials

Antonio R. Vargas

Journal of Mathematical Analysis and Applications, 398 (2013), No. 2, pp. 630–637.

[ScienceDirect, arXiv]

Interlacing and non-orthogonality of spectral polynomials for the Lamé operator

Alain Bourget, Tyler McMillen, and Antonio R. Vargas

Proceedings of the American Mathematical Society, 137 (2009), No. 5, pp. 1699–1710.

[AMS, arXiv]

PhD Thesis

Scaling Limits for Partial Sums of Power Series

[arXiv]

MSc Thesis

Zeros of Sections of Some Power Series

[arXiv]

Rejected Papers

Newman-Rivlin asymptotics for partial sums of power series

A. R. Vargas

[arXiv]

(This eventually became the paper titled

Helpful Userscripts

I wrote a userscript for Math.SE which displays a preview of your comment as you type it.

A detailed description and installation instructions can be found [here].

Background

Originally from Laguna Niguel, California, I received my BA in mathematics from California State University, Fullerton after changing majors from computer science. At Fullerton I studied under the guidance of Alain Bourget and Tyler McMillen. I then lived in Toronto, Ontario for a short while before heading to Halifax, Nova Scotia to study at Dalhousie University under the supervision of Karl Dilcher. After completing my PhD I moved to Belgium to work for a year as a postdoc at KU Leuven. Now I live in Salem, Oregon.

My favorite statistical web pages

Statistical Modeling, Causal Inference, and Social Science

Andrew Gelman and contributors

https://statmodeling.stat.columbia.edu/

My favorite mathematical web pages

Roots, Schottky semigroups, and Bandt’s Conjecture

Danny Calegari

https://lamington.wordpress.com/2014/12/21/roots-schottky-semigroups-and-bandts-conjecture/

The Beauty of Roots

John Baez

http://math.ucr.edu/home/baez/roots/

My favorite math books

de Bruijn, Asymptotic Methods in Analysis

Marden, Geometry of Polynomials