Spring 2025 (projected)

R. Dukes, M. Zinchenko 

Lower and upper bounds for Chebyshev and residual polynomials on semi-regular subsets of R, in preparation. 

R. Dukes

Minimal Error Functions on Irregular Subsets of the Real Line, Ph.D. Thesis, University of New Mexico, in preparation. 

Talks and Presentations

April 2025

Minimal Error Functions on Irregular Subsets of the Real Line

2025 Spring Eastern Sectional Meeting , Hartford, 30 minutes

January 2025 

Minimal Error Functions on Irregular Subsets of the Real Line

Joint Mathematical Meeting, Seattle, 15 minutes 

April 2023

Boundedness of Chebyshev Polynomials over Irregular Sets 

Analysis Seminar, University of New Mexico, Albuquerque, 50 minutes 

January 2021

Topological Dynamics of Piecewise Lambda-Affine Maps 

Analysis Seminar, University of New Mexico, Albuquerque, 50 minutes 

January 2017

Topological Dynamics of Piecewise Lambda-Affine Maps 

Math Department Colloquium, University of Denver, Denver, 50 minutes 

Fall 2014: 

Mathematics of Chess: Knight Tours and Queen Domination 

Graduate Student Seminar, University of Denver, Denver, 50 minutes 

Conferences

January 2025

Joint Mathematics Meeting, Seattle, WA.

• Will present new research on asymptotics of Chebyshev Polynomials. 

January 2024

Joint Mathematics Meeting, San Francisco, CA. 

• Attended talks on many different subjects. 

• Recruited graduate student who presented on DEK polynomials to speak at University of New Mexico’s weekly seminar online. 

• Attended Monroe Community College’s presentation on 3D modeling, which I incorporated into my Multivariable Calculus class. 

October 2021

AMS Sectional Meeting, Online (originally Albuquerque, NM)

• Attended talks on Extremal Polynomials and other subjects. 

June 2015

Legacy of R.L. Moore, Austin, TX 

• Attended talks and workshops on post-secondary education in mathematics. 

January 2014

Joint Mathematics Meeting, Baltimore, MD. 

• Attended talks and workshops on various mathematics topics.