IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Peter G. Binev

  • Professor
  • Department of Mathematics
  • University of South Carolina


Ph.D. Mathematics Sofia University, Bulgaria 1985
M.S. Mathematics Sofia University, Bulgaria 1980


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 Interests

Adaptive Numerical Methods for PDEs, Nonlinear Approximation Theory, Nano-Scale 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 (Paris-Dauphine), A. Cohen, J. Nichols (Paris 6)
  • Data analysis and tomographic reconstruction of Energy-dispersive X-ray spectroscopy data - ongoing since 2016 - collaboration with K. Larkin (USC), Z. Saghi (CEA-LETI, 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 hp-adaptivity - 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 rank-2 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)


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


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, 2011-2013
  • Member, Special Bulgarian Awarding Committee in Computer Science and Applied Mathematics, 1998-2004
  • Member, Ruling Body of the Scientific Fund of the University of Sofia, 1997-2003
  • Founder and Head of the Master Class in Computer Graphics at the University of Sofia, 1996-2003
  • Member, Scientific Committee in Mathematics and Mechanics, Bulgarian National Science Fund, 1998-1999
  • 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


5 Selected Publications

  • P. Binev, W. Dahmen, and R. DeVore, Adaptive Finite Element Methods with Convergence Rates , Numer. Math. 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, A. Cohen, W. Dahmen, and R. DeVore, Classification Algorithms using Adaptive Partitioning, Annals of Statistics 42 (2014), 2141-2163.

  • 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, 73-126.


IMI Preprints and Seminars

Go to the list of 13 preprints and 5 seminars by Peter G. Binev.


Curriculum Vitae

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