I graduated from The University of Delaware with a Ph.D. in Applied Mathematics under the advisement of Fioralba Cakoni in August 2015. I am currently at Texas A&M University where I am a Visiting Assistant Professor continuing my research in Inverse Problems and Scattering Theory with my mentor Bill Rundell. Here are links to my CV and Google Scholar page.

- Referee, for Communications in Mathematical Sciences as of August 2017
- Referee, for Inverse Problems as of August 2017
- Referee, for Journal of Computers and Mathematics with Applications as of June 2017
- Referee, for SIAM Journal on Imaging Science as of November 2016
- Referee, for Journal of Computational and Applied Mathematics as of July 2016
- Referee, for SIAM Journal on Mathematical Analysis as of January 2016
- Invited to the Theory and Numerics of Inverse Scattering Problems Workshop at the Oberwolfach Research Institute for Mathematics, Sept 18-24 2016 as a United States Junior Oberwolfach Fellow (slides)
- Invited Talk at the Post-Doc Seminar, IMA Minneapolis MN, December 2016
- Invited Mini-Symposium Spreaker at the SIAM CSE Conference in Atlanta GA, Febuary/March 2017. I have recieved the NSF-SIAM Early Career Travel Award to attend the meeting (slides)
- Talk at the Texas DE Conference at TAMU, March 2017 (slides).
- Invited Spreaker at the University of Houston's PDE Seminar, April 7th 2017 (slides)
- Invited Mini-Symposium Spreaker at Applied Inverse Problems, Hangzhou China, May/June 2017
- Invited Mini-Symposium Spreaker at the SIAM Annual Meeting, Pittsburgh PA, July 2017
- Invited AMS Special Section Spreaker at the Joint Math Meeting, San Diego CA, January 2018
- I am giving a talk in the PDE Seminar at University of Houston (slides)

- B.A. in Mathematics, Kean University, 2010
- M.S. in Applied Mathematics, University of Delaware, 2012
- Ph.D. in Applied Mathematics, University of Delaware, 2015 My Dissertaion is tittled "Non-Destructive Testing of Anisotropic Materials".

My research interests are in direct and inverse problems for PDEs, especially those arising in acoustic and electromagnetic scattering. I have been working on the inverse scattering problem of non-destructive testing for defects in complex media and parameter identification for periodic media. My research employs techniques from a multitude of areas in mathematical analysis, such as: Functional analysis, Analysis of PDEs, Numerical and Asymptotic methods.

**Research Interests:**

- Direct and Inverse Scattering
- Transmission Eigenvalue Problems
- Inverse Problems for (Fractional) Diffusion
- Qualitative Reconstruction Methods
- Electrical Impedance Tomography
- Inverse Spectral Problems
- Homogenization and Asymptotic Analysis

- F. Cakoni, I. Harris and S. Moskow " The Imaging of Small Perturbations in an Anisotropic Media". (Accepted)
*Computers and Mathematics with Applications*(Online) (arXiv:1702.06058) - L. Hoeltgen, I. Harris, A. Kleefeld and M. Breuss "Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian" Scale Space and Variational Methods in Computer Vision (2017), 66-79. Lecture Notes in Computer Science Volume. 10302 Springer
- I. Harris and S. Rome "Near field imaging of small isotropic and extended anisotropic scatterers".
*Applicable Analysis*Volume 96, No. 10, 2017 1713-1736 (arXiv:1601.02993) - O. Bondarenko I. Harris, and A. Kleefeld "The interior transmission eigenvalue problem for an
inhomogeneous media with a conductive boundary".
*Applicable Analysis*Volume 96, No. 1, 2017 2-22 (arXiv:1510.01762) - F. Cakoni, H. Haddar, and I. Harris "Homogenization of the transmission eigenvalue problem for
periodic media and application to the inverse problem".
*Inverse Problems and Imaging*Volume 9, No. 4, 2015, 1025–1049 (arXiv:1410.3729) - F. Cakoni and I. Harris "The factorization method for a defective region in an anisotropic
material".
*Inverse Problems*, 31 025002 (2015) (arXiv:1410.3737) - I. Harris, F. Cakoni, and J. Sun "Transmission eigenvalues and non-destructive testing of
anisotropic magnetic materials with voids".
*Inverse Problems*, 30 035016 (2014) (Preprint) - I. Harris “Parameter identification for complex materials using Transmission Eigenvalues”.
*Oberwolfach Report*, No. 45 (2016) 46-48. Extended Abstract for the workshop: Theory and Numerics of Inverse Scattering Problems - I. Harris "Non-Destructive Testing of Anisotropic Materials". University of Delaware, Ph.D. Thesis (2015)
- I. Harris and W. Rundell "A direct method for reconstructing inclusions and boundary conditions from electrostatic data" (Submitted) (arXiv:1704.07479)
- I. Harris "Detecting an inclusion with a generalized impedance condition from electrostatic data via sampling" (Submitted) (arXiv:1708.03203)
- I. Harris and A. Kleefeld "Recovering a conductive boundary coefficient from scattering data and the transmission eigenvalue problem". (Under Preparation-Working Title)
- I. Harris and W. Rundell "Recovering sources from time trace measurements for the (fractional)heat equation" (Under Preparation-Working Title)
- I. Harris "The direct and inverse problem for the fractional heat equation in a domain with an impedance subregion" (Under Preparation-Working Title)

**Research Papers in Refereed Journals: **

**Other Publications: **

**Papers in Preparation or Submitted:**

I am teaching MATH 308-Differential Equations at TAMU Sections 510 and 511!

Math 308 Syllabus.

Math Department course schedule. This course may not follow schedule exactly.

Class Description/Learning Objectives: Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Prerequisites: MATH 251 or equivalent; knowledge of computer algebra system.

Here is the Help Session Schedule.

Here is a helpful link for Diff Equ Notes.

Homework 1 on Separable, Linear and Exact 1st order equations (solu for 1-11 and solu for 12-15).

Solutions to quiz 1 and 2.

Homework 3 Based on 9/21 lecture and pratice for the quiz on 9/26 (solu).

Homework 4 Based on 9/21-9/26 lecture and pratice for the quiz on 10/3 (solu).

EXAM 1 WILL NOW BE ON 10/10, a detailed list of topic will be emailed to the class soon.

Solutions to quiz 3 and 4.

Homework 5 Based on 10/3-10/6 lecture (solu).

Homework 6 Based on 10/12-10/17 lecture(solu).

Here are the Solutions to EXAM 1.

Here is a BASIC LAPLACE TRANSFORM TABLE and an EXTENSIVE TABLE

Homework 7 Based on 10/19-10/24 lecture(solu).

Last Updated: 10/30/17