# Fatma Terzioglu

## About

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

**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

## Publications

### Peer Reviewed Journals

(with G. Bal)

*Uniqueness criteria in**multi-energy CT,*Inverse Problems 36 (2020), 065006, (18pp), doi:10.1088/1361-6420/ab844b*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*Some analytic properties of the cone transform*, Inverse Problems 35 (2019), 034002, (22pp), doi:10.1088/1361-6420/aafccf(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(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(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*Some inversion formulas for the cone transform*, Inverse Problems 31 (2015), 115010 (21pp), doi:10.1088/0266-5611/31/11/115010

### Conference Proceedings

*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

(with P. Kuchment and L.Kunyansky),

*TBD*, in preparation, 2020(with G. Bal and R. Gong),

*An inversion algorithm for P-functions*, in preparation, 2020*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