Education

Ph.D.  Computational Mathematics	University of Sofia, Bulgaria	1985
M.S.  Mathematical Modeling	University of Sofia, Bulgaria	1980

Experience

Courses Taught

• College Algebra
• Applied Finite Mathematics
• Engineering Calculus
• Calculus
• Numerical Analysis
• Numerical Methods for PDE's
• Computer Graphics
• Algorithms
• Wavelets
• Splines and Their Applications
• Multivariate Splines
• Curves and Surfaces in CAGD
• Wavelets and Their Applications
• Geometric Modeling
• Advanced Computer Graphics
• Image Processing

Research

Dr. Binev is well-known specialist in nonlinear and adaptive approximation and recognized for establishing theoretical results for optimal convergence rates in adaptive finite element methods. He has been participating in various interdisciplinary research groups and has established several international collaborations for applying advanced mathematical methods in electron microscopy. He is a key participant in the research group that developed a record-holding procedure to consistently obtain a picometer precision measurements in scanning transmission electron microscopy. Dr. Binev is also working in mathematical learning theory, data assimilation, reduced modeling, and uncertainty quantification. He has presented more than hundred invited talks on various international conferences and workshops. His research has been funded by several agencies and foundations over the years with total grants amount exceeding $10M.

Selected Publications

• P. Binev, W. Dahmen, R. DeVore, Adaptive Finite Element Methods with Convergence Rates, Numerische Mathematik 97 (2004), 219-268.
• 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, Picometre-precision analysis of scanning transmission electron microscopy images of platinum nanocatalysts, Nature Communications 5 (2014), Article number: 4155.
• P. Binev, R. DeVore, Fast Computation in Adaptive Tree Approximation, Numerische Mathematik 97 (2004), 193-217.
• P. Binev, Tree approximation for hp-adaptivity, SIAM Journal on Numerical Analysis 56 (2018), 3346-3357.
• P. Binev, A. Cohen, W. Dahmen, R. DeVore, and V Temlyakov, Universal algorithms for learning theory - part i: piecewise constant functions, Journal of Machine Learning Research 6 (2005), 1297-1321.
• P. Binev, W. Dahmen, R. DeVore, P. Lamby, D. Savu, and R. Sharpley, Compressed Sensing and Electron Microscopy, in Modeling Nanoscale Imaging in Electron Microscopy, T. Vogt, W. Dahmen, and P. Binev (Eds.), Springer, 2012, p. 73-126.
• P. Binev, W. Dahmen, and P. Lamby, Fast high-dimensional approximation with sparse occupancy trees, J. Computational and Applied Mathematics 235 (2011), 2063–2076.
• P. Binev, A. Cohen, W. Dahmen, and R. DeVore, Classification Algorithms using Adaptive Partitioning, Annals of Statistics 42 (2014), 2141-2163.