I became a college professor because I am extremely curious. I really enjoy learning and sharing what I have learned. My own teachers have had a positive impact in my life. I would like to do the same for my students. Mathematics has much aesthetic and functional beauty. I am an applied mathematician because I like to solve problems that have some of both.
I feel that the best path for learning is through enjoyment. I strive to have my students see the joy in math. In most of my upper-level classes, students work on projects exploring something related to our class which interests them. I am also interested in data analysis, problem solving, industrial projects, service learning and social justice in mathematics education.
Postdoctoral Fellowship in Radiology, Stanford University
Ph.D. in Applied Mathematics, University of Arizona
My research interests are in medical inverse problems. My current research focuses on statistical methods and data analysis in magnetic resonance imaging and x-ray computed tomography. Most medical imaging tasks can be viewed as the estimation of a parameter (such as the size of a tumor) or detection of a lesion under various types of uncertainty. My work tries to optimize performance of medical imaging systems on these tasks.
Caceres L, de la Pena JA, Pineda AR, Di Prisco C, Solotar, A, "Mathematics in Latin America and the Caribbean: So Much Happening, So Much to Do", Notices of the American Mathematical Society, 61, 2014, 1052-1055.
Kwembe TA, Leonard K, Pineda AR, "Academic Year Undergraduate Research: the CURM Model", Involve, 7, 2014, 383-394.
Baek J, Pineda AR, Pelc NJ, "To Bin or Not to Bin?, The Effect of CT System Limiting Resolution in Noise and Detectability", Physics in Medicine and Biology, 58, 2013, 1433-1446.
Pineda AR, Tward DJ, Gonzalez A, Siewerdsen JH "Beyond Noise-Power in 3D Computed Tomography:The Local NPS and Off-Diagonal Elements of the Fourier Covariance Matrix", Medical Physics, 39, 2012, 3240-3252.
Reeder SB, Bice EK,Yu H, Hernando D, Pineda AR, "On the Performance of T2* Correction Methods for Quantification of Hepatic Fat Content", Magnetic Resonance in Medicine. 67, 2012, 389-404.
Reeder SB, McKenzie CA, Pineda AR, Yu H, Brau AC, Shimakawa A, Hargreaves BA, Gold GE, Brittain JH, "Water-Fat Separation with IDEAL Gradient Echo Imaging", Journal of Magnetic Resonance Imaging, 25, 2007, 644-652. (*One of 25 papers chosen for the 25th Anniversary Edition of the Journal*)
Pineda AR, Yoon S, Paik DS, Fahrig R, "Optimization of a Tomosynthesis System for the Detection of Lung Nodules", Medical Physics, 33, 2006, 1372-1379.
Pineda AR, Reeder SB, Wen Z, Pelc NJ, "Cramer-Rao Bounds in 3-Point Decomposition of Water and Fat", Magnetic Resonance in Medicine, 54, 2005, 625-635.
Reeder SB, Pineda AR, Wen Z, Shimakawa A, Yu H, Gold GE, Beaulieu CH, Pelc NJ, "Iterative Decomposition of Water and Fat with Echo Asymmetry and Least Squares Estimation (IDEAL):Application with Fast-Spin Echo Imaging", Magnetic Resonance in Medicine, 54, 2005, 636-644.
Pineda AR, Barrett HH, "Figures of Merit for Detectors in Digital Radiography. I. Flat Background and Deterministic Blurring", Medical Physics, 31, 2004, 348-358.
Mason T, Pineda AR,Wofsy C, Goldstein B, "Effective Rate Models for the Analysis of Transport-Dependent Biosensor Data", Mathematical Biosciences, 159, 1999, 123-144.
Pineda AR, Root RG, "Mathematical Modeling of a Radially Inhomogeneous Plate under Load and Tension", Journal of Applied Mechanics, 64, 1997, 233-237.
2011 CSU, Fullerton Teacher Scholar Award for Mentoring Student Research, awarded by the College of Science and Mathematics
2008-09 Mathematical Association of America Dolciani-Halloran Project NExT Fellow
2004-06 American Lung Association Senior Research Training Fellowship
1998-99 University of Arizona Michael A. Cusanovich Research Fellowship
1995 Volunteer of the Year, Lafayette College
1995 Phi Beta Kappa
1994 Tau Beta Pi
1992 Sigma Xi
2014-15 NSF DMS 1345012 Role: PI (with S. Annin at CSUF) MCTP: Graduate Readiness and Access in Mathematics (GRAM) Comprehensive mentoring program to prepare underrepresented math students to be successful in graduate studies.
2010-11 NSF (through CURM at BYU) Role: PI Separating Chemical Species in Magnetic Resonance Imaging The grant funds research with four undergraduates at CSUF and faculty development as a research mentor.
2007-10 NIH 1R01CA112163 Role: Co-PI at CSUF (PI: Jeffrey H. Siewerdsen at JHU) Image Science for the New X-ray: Taking NEQ to Task Explored non-stationarity in CT reconstructions and it's connection to the Fourier Covariance Matrix.
Summer 2008 GE Healthcare Technologies Role: PI (Co-PI: William Gearhart) Understanding the Mathematics of HYPR-type Algorithms The grant funds the work of CSUF students in working to analyze a new imaging method for GE.