Welcome to my homepage!

Selma Yildirim

Lecturer of Mathematics

5734 S University Ave

The University of Chicago

Chicago, IL 60637

Email: selma@math.uchicago.edu


Spring 2019:

MATH 195 Mathematical Methods for Social Sciences (2 classes)

Winter 2019:

MATH 195 Mathematical Methods for Social Sciences

MATH 196 Linear Algebra

Autumn 2018:

MATH 195 Mathematical Methods for Social Sciences (2 classes)

Introduction to Python Tutorials (As part of an extra credit project, I prepared these tutorials for my students. The learning is measured by online quizzes posted on the class pages at CANVAS.)

Publications / Submitted Papers and Preprints

1. Eigenvalue inequalities for Klein-Gordon operators, Journal of Functional Analysis, 256(12) (2009) 3977–3995 (with E. Harrell).

2. An Improvement to a Berezin-Li-Yau type inequality for the Klein-Gordon Operator, Proceedings of the American Mathematical Society, 138(11) (2010) 4059–4066.

3. Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators, Journal of Mathematical Physics, 53(4) (2012) 043508 (with T. Yolcu).

4. Bounds for the eigenvalues of the fractional Laplacian, Reviews in Mathematical Physics, 24(3) (2012) 1250003 (with T. Yolcu).

5. Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain, Communications in Contemporary Mathematics, 15(3) (2013) 1250048(with T. Yolcu) .

6. Heat trace of non-local operators, Journal of the London Mathematical Society, 87(1) (2013) 304–318 (with R. Banuelos).

7. Estimates on the eigenvalues of the clamped plate problem, Journal of Mathematical Physics, 54(4) (2013) 43515  (with T. Yolcu).

8. Eigenvalue bounds for the poly-harmonic operators, Illinois Journal of Mathematics 58(3) (2014)  (with T. Yolcu)

9. Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian, Discrete and Continuous Dynamical Systems – Series A, 35(5) (2015) 2209– 2225.  (with T. Yolcu)

10. Refined Eigenvalue Bounds on the Dirichlet Fractional Laplacian, Journal of Mathematical Physics, 56 (2015) 073506  (with T. Yolcu).

11. Sharper estimates on the eigenvalues of the Dirichlet fractional Laplacian on a planar domain, Electronic Journal of Differential Equations, 2018 (165) (2018) 1–14  (with T. Yolcu).

12. Sharp Bounds for spectral functions of the Klein-Gordon operator, preprint (2010) (with L. Hermi).

 2018-2019 Data Science Projects Completed

1 Million Women to Tech , Winter of Data (January 14- April 7, 2019)

Datathon project: Global Gender Gap Report

(Jupyter notebook including Python codes)

Bertelsmann-Udacity Data Foundations Nanodegree Program (Certification Date: October 4, 2018)

Data Science Projects (Certification Date: October 4, 2018)


Projects completed using R (Statistics program)  -- will be posted soon

Projects completed using Python -- will be posted soon

The University of Chicago Department of Mathematics

Math Circles of Chicago

Association for Women in Mathematics