Peter G. Binev



Education
Ph.D.  Mathematics  Sofia University, Bulgaria  1985 
M.S.  Mathematics  Sofia University, Bulgaria  1980 
Experience
2017 – Present  Professor  Department of Mathematics, University of South Carolina 
2007 – 2016  Associate Professor  Department of Mathematics, University of South Carolina 
2000 – 2007  Research Associate Professor  Department of Mathematics, Univ. of South Carolina 
1993 – 2006  Associate Professor  Faculty of Mathematics and Informatics, Univ. of Sofia, Bulgaria 
1991 – 1992  Research Fellow  Department of Mathematics, University of Duisburg 
1984 – 1993  Assistant Professor  Faculty of Mathematics and Informatics, Univ. of Sofia, Bulgaria 
Research
Research Interests
Adaptive Numerical Methods for PDEs, Nonlinear Approximation Theory, NanoScale Imaging and Data Processing, Uncertainty Quantification and Parameter Estimation, Learning Theory, Multiresolution and Subdivision Methods, Image and Surface Processing.
Current Projects
 Nonlinear alignment of tomography data in electron spectroscopy  ongoing since 2017  with B. Berkels (RWTH Aachen), S. Haigh (Manchester), K. Larkin (USC), T. Sanders (Arizona State)
 Greedy algorithms for optimal measurements selection in state estimation using reduced models  ongoing since 2016  with O. Mula (ParisDauphine), A. Cohen, J. Nichols (Paris 6)
 Data analysis and tomographic reconstruction of Energydispersive Xray spectroscopy data  ongoing since 2016  collaboration with K. Larkin (USC), Z. Saghi (CEALETI, Grenoble), T. Sanders (Arizona State)
 Optimal spaces in parameter estimation from data  ongoing since 2016  with W. Dahmen (USC), R. DeVore (Texas A&M)
 Estimating diffusion coefficients in elliptic equations from data  ongoing since 2016  with M. Bachmayr (Bonn), A. Cohen (Paris 6), W. Dahmen (USC), R. DeVore (Texas A&M)
 Convergence rates and analysis of adaptive methods for approximation with emphasis on hpadaptivity  ongoing since 2013  with W. Dahmen (USC), R. DeVore (Texas A&M), R. Nochetto (Maryland), R. Stevenson (Amsterdam), C. Canuto (Torino), A. Veeser (Milano)
 Characterization of the approximation via rank2 tensors  ongoing since 2013  with R. DeVore (Texas A&M)
 Development of novel imaging techniques in electron microscopy  continuing since 2008  with W. Dahmen, T. Vogt, D. Blom (USC)
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Teaching Activities
Current Courses
 Math 242  Elementary Differential Equations
 Math 550  Vector Analysis
Previous Courses
 Math 122  Calculus for Business Administration and Social Sciences
 Math 141  Calculus I
 Math 142  Calculus II
 Math 174  Discrete Mathematics for Computer Science
 Math 241  Vector Calculus
 Math 242  Elementary Differential Equations
 Math 522  Wavelets
 Math 526  Numerical Linear Algebra
 Math 527 / CSCE 561  Numerical Analysis
 Math 544  Linear Algebra
 Math 574  Discrete Mathematics I
 Math 708  Foundations of Computational Mathematics I
 Math 709  Foundations of Computational Mathematics II
 Math 720  Applied Mathematics I
 Math 721  Applied Mathematics II
 Math 723  Differential Equations I
 Math 724  Differential Equations II
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Honors and Other Special Scientific Recognition
 Contact Organizer of BIRS workshops 14w5048 (Banff, 2014) and 17w5055 (Oaxaca, 2017)
 Simons Visiting Professor at Pierre and Marie Curie University (Paris VI), April 2017
 Seeding grant by National Academies Keck Futures Initiative, 20112013
 Member, Special Bulgarian Awarding Committee in Computer Science and Applied Mathematics, 19982004
 Member, Ruling Body of the Scientific Fund of the University of Sofia, 19972003
 Founder and Head of the Master Class in Computer Graphics at the University of Sofia, 19962003
 Member, Scientific Committee in Mathematics and Mechanics, Bulgarian National Science Fund, 19981999
 Fellowship from a TEMPUS program, University of Greenwich, UK, Fall 1997
 Rector’s Award for the Best Young Scientist of the Year, University of Sofia, Bulgaria, 1989
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5 Selected Publications

P. Binev, W. Dahmen, and R. DeVore, Adaptive Finite Element Methods with Convergence Rates , Numer. Math. 97 (2004), 219268.

P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova, and P. Wojtaszczyk, Convergence Rates for Greedy Algorithms in Reduced Basis Methods, SIAM J. Math. Anal., 43 (2011),1457–1472.

A.B. Yankovich, B. Berkels, W. Dahmen, P. Binev, S.I. Sanchez, S.A. Bradley, Ao Li, I. Szlufarska, and P.M. Voyles, Picometreprecision analysis of scanning transmission electron microscopy images of platinum nanocatalysts, Nature Communications 5 (2014), Article number: 4155.

P. Binev, A. Cohen, W. Dahmen, and R. DeVore, Classification Algorithms using Adaptive Partitioning, Annals of Statistics 42 (2014), 21412163.

P. Binev, W. Dahmen, R. DeVore, P. Lamby, D. Savu, and R. Sharpley, Compressed Sensing and Electron Microscopy, chapter in “Modeling Nanoscale Imaging in Electron Microscopy”, T. Vogt, W. Dahmen, P. Binev (eds), Nanostructure Science and Technology, Springer, 2012, 73126.
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IMI Preprints and Seminars
Go to the list of 13 preprints and 5 seminars by Peter G. Binev.BACK TO TOP