Fatma Terzioglu

About

I am a William H. Kruskal Instructor in the Department of Statistics and CCAM at the University of Chicago.

Curriculum Vitae

Email: fterzioglu-at-uchicago.edu

Address: The University of Chicago, Department of Statistics, 5747 South Ellis Avenue, Chicago, Illinois 60637

Education

Ph.D. in Mathematics, May 2018, Texas A&M University, College Station, TX, USA

M.S. in Mathematics, June 2011, Bogazici University, Istanbul, Turkey

B.S. in Integrated BS&MS Program in Mathematics Education, June 2009, Bogazici University, Istanbul, Turkey

Research Interests

Inverse problems, Mathematics of medical imaging, Multi-energy CT Imaging, Compton camera imaging, Integral transforms of Radon type and their applications, Hybrid imaging, Microlocal analysis, Applied harmonic analysis

Google Scholar Profile

Publications

Peer Reviewed Journals

  1. (with G. Bal) Uniqueness criteria in multi-energy CT, Inverse Problems 36 (2020), 065006, (18pp), doi:10.1088/1361-6420/ab844b

  2. Exact inversion of an integral transform arising in Compton camera imaging, J. Medical Imaging 7(3) (2020), 032504, doi:10.1117/1.JMI.7.3.032504

  3. Some analytic properties of the cone transform, Inverse Problems 35 (2019), 034002, (22pp), doi:10.1088/1361-6420/aafccf

  4. (with P. Kuchment and L. Kunyanksy) Compton camera imaging and the cone transform: a brief overview, Inverse Problems 34 (2018), 405204, (16pp), doi:10.1088/1361-6420/aab0ab

  5. (with P. Kuchment) Inversion of weighted divergent beam and cone transforms, Inverse Problems and Imaging, 11(6) (2017), pp. 1071-1090, doi:10.3934/ipi.2017049

  6. (with P. Kuchment) Three-dimensional image reconstruction from Compton camera data, SIAM J. Imaging Science, 9(4) (2016), pp. 1708-1725, doi:10.1137/16M107476X

  7. Some inversion formulas for the cone transform, Inverse Problems 31 (2015), 115010 (21pp), doi:10.1088/0266-5611/31/11/115010

Conference Proceedings

  1. Exact inversion of an integral transform arising in passive detection of gamma-ray sources with a Compton camera, Proc. SPIE 11072, 15th International Meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine, 1107217 (2019), doi:10.1117/12.2534439

In Preparation

  1. (with P. Kuchment and L.Kunyansky), TBD, in preparation, 2020

  2. (with G. Bal and R. Gong), An inversion algorithm for P-functions, in preparation, 2020

  3. An analytic formula for recovering weighted divergent beam projections from weighted Compton projections, in preparation, 2020

Teaching

University of Chicago

Autumn 2020: STAT 24300-30750 - Numerical Linear Algebra ~ The course website is on Canvas.

Spring 2020: STAT 31450 - Applied Partial Differential Equations (Course syllabus)

Autumn 2019: STAT 24300-30750/2 - Numerical Linear Algebra ~ The course website is on Canvas.

Spring 2019: STAT 31450 - Applied Partial Differential Equations

Autumn 2018: STAT 24300-30750 - Numerical Linear Algebra

Texas A&M University

Summer 2015: MATH 131 - Mathematical Concepts: Calculus