Selma Yildirim Yolcu Golomb Assistant Professor Department of Mathematics Purdue University 150 N. University Street West Lafayette, IN 47907-1395 USA Office: MATH 736 Email: syildir@math.purdue.edu Phone: (765) 494-1954 Fax: (765) 494-0548

Education:
PhD in Mathematics, Georgia Institute of Technology, 2009

Research Interests: Spectral theory, partial differential equations, stable processes.
In particular: Eigenvalue inequalities for Klein-Gordon operators,Dirichlet Laplacian, Fractional Laplacian and symmetric stable processes.

Work in Progress:

12. Some Estimates for Relativistic Stable Processes (with K. Kaleta and R. Banuelos), in progress.

11. Bounds on the spectra of the Stokes operator, (with T. Yolcu), in preparation.

10. On the eigenvalues of poly-Laplacian operator, (with T. Yolcu), in preparation.

9. Sharper estimates on the eigenvalues of the fractional Laplacian operator (with T. Yolcu), in preparation.

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

Journal Papers:

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

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

5. Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain (with T. Yolcu),  Communications in Contemporary Mathematics (2013) (DOI: 10.1142/S0219199712500484)

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

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

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.

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

Thesis:

Eigenvalue Inequalities for Relativistic Hamiltonians and Fractional Laplacian, PhD Thesis (December 2009).

Awards:

• 2009 CETL/BP Outstanding Graduate Student Instructor Award, Georgia Institute of Technology. (link)

• 2008 Outstanding Teaching Assistant Award, School of Math, Georgia Institute of Technology.

Teaching:

Current (Summer 2013): MA 52000- Boundary Value Problems of Differential Equations

Previous Teaching Experience at Purdue

MA 52700- Advanced Mathematics for Engineers and Physicists I : Summer 2012.

MA 35100- Elementary Linear Algebra: Spring 2011, Fall 2011, Spring 2012.

MA 26200- Linear Algebra and Differential Equations: Fall 2010, Fall 2012.