CV Teaching Statement
Isaac Harris, Ph.D.
Texas A&M University 3368 TAMU College Station, TX 77843-3368
Department of Mathematics
Office: Blocker 621A
E-mail: iharris [AT] tamu.edu -or- iharris [AT] math.tamu.edu
I graduated from The University of Delaware with a Ph.D. in Applied Mathematics under the advisement of
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
- Invited Spreaker at the University of Houston's PDE Seminar, April 7th 2017
- 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)
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.
This figure is the cover image for Inverse Problems Volume 31 Number 2.
Reconstructions of circular cavities in an Anisotropic material via the factorization method.
EIT Reconstruction of an inclusion and the impedance function via the linear sampling method.
- 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
Research Papers in Refereed Journals:
- 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
- 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
- F. Cakoni and I. Harris "The factorization method for a defective region in an anisotropic
material". Inverse Problems, 31 025002 (2015)
- I. Harris, F. Cakoni, and J. Sun "Transmission eigenvalues and non-destructive testing of
anisotropic magnetic materials with voids".
Inverse Problems, 30 035016 (2014)
- 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
Papers in Preparation or Submitted:
- I. Harris and W. Rundell "A direct method for reconstructing inclusions and boundary conditions from electrostatic data"
- I. Harris "Detecting an inclusion with a generalized impedance condition from electrostatic data via sampling"
- 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)
Teaching Fall 2017
I am teaching MATH 308-Differential Equations at TAMU Sections 510 and 511!
510 Lecture: T -Blocker 128 and R-Blocker 163 at 09:35 am-10:50 am
511 Lecture: T -Blocker 128 and R-Blocker 163 at 11:10 am-12:25 pm
Office Hours: TR 3:00pm - 4:00pm am or by appointment
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