Positions

Selected Publications

Academic Article

Year Title Altmetric
2019 Extended states for the schrodinger operator with quasi-periodic potential in dimension twoMemoirs of the American Mathematical Society.  258:1-152. 2019
2017 Ballistic Transport for the Schrödinger Operator with Limit-Periodic or Quasi-Periodic Potential in Dimension TwoCommunications in Mathematical Physics.  354:85-113. 2017
2017 Perturbation theory for spectral gap edges of 2D periodic Schrödinger operatorsJournal of Functional Analysis.  273:444-470. 2017
2017 On the Convergence of Constrained Particle FiltersIEEE Signal Processing Letters.  24:858-862. 2017
2017 SMURC: High-Dimension Small-Sample Multivariate Regression with Covariance EstimationIEEE Journal of Biomedical and Health Informatics.  21:573-581. 2017
2016 Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operatorsDuke Mathematical Journal.  165:509-561. 2016
2015 Riemann-hilbert approach to the inverse problem for the schrödinger operator on the half-lineSt. Petersburg Mathematical Journal.  26:1005-1017. 2015
2014 Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators 2014
2014 Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential Operators 2014
2014 Probabilistic non-negative matrix factorization: Theory and application to microarray data analysisJournal of Bioinformatics and Computational Biology.  12. 2014
2014 Scattering problem for the ordinary differential operator of order four on the half-line: I. Direct problemSt. Petersburg Mathematical Journal.  25:327-337. 2014
2013 Multiscale analysis in momentum space for quasi-periodic potential in dimension twoJournal of Mathematical Physics.  54. 2013
2013 Optimal perturbation control of general topology molecular networksIEEE Transactions on Signal Processing.  61:1733-1742. 2013
2013 Stability for the inverse resonance problem for the CMV operator 2013
2013 A Survey on the Krein-von Neumann extension, the corresponding abstract buckling problem, and Weyl-type spectral asymptotics for perturbed Krein Laplacians in nonsmooth domains 2013
2012 Extended states for polyharmonic operators with quasi-periodic potentials in dimension twoJournal of Mathematical Physics.  53. 2012
2012 Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operatorsAnnals of Mathematics.  176:1039-1096. 2012
2012 Methods for optimal intervention in gene regulatory networks [Applications Corner] 2012
2012 On the inverse resonance problemfor Jacobi operators-uniqueness and stability 2012
2011 Robustness of inverse perturbation for discrete event controlConference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference.  2422-2425. 2011
2011 Inverse perturbation for optimal intervention in gene regulatory networksBioinformatics.  27:103-110. 2011
2010 The Krein-von Neumann extension and its connection to an abstract buckling problem 2010
2010 On the inverse resonance problem for schrödinger operatorsCommunications in Mathematical Physics.  295:465-484. 2010
2009 Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operatorInventiones Mathematicae.  176:275-323. 2009
2008 Relaxation enhancement by time-periodic flowsIndiana University Mathematics Journal.  57:2137-2152. 2008
2008 Blow up and regularity for fractal burgers equation 2008
2007 Homogenization of the periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum 2007
2006 Reflectionless potentials for an ordinary differential operator of order fourInverse Problems.  22:135-153. 2006
2006 On the structure of the lower edge of the spectrum of the periodic magnetic schrÖdinger operator with small magnetic potentialSt. Petersburg Mathematical Journal.  17:865-873. 2006
2005 Absolute continuity of spectra of two-dimensional periodic schrodinger operators with strongly subordinate magnetic potentials 2005
2005 The Schrödinger operator in a periodic waveguide on a plane and quasiconformal mappings 2005
2005 An example of a periodic magnetic schrÖdinger operator with degenerate lower edge of the spectrumSt. Petersburg Mathematical Journal.  16:417-422. 2005
2004 On the scattering theory of the Laplacian with a periodic boundary condition. II. Additional channels of scatteringDocumenta Mathematica.  9:57-77. 2004
2002 On the similarity of some differential operators to self-adjoint ones 2002
1999 Halt-Infinite Lowertriangular MatrixVestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya.  113-114. 1999

Chapter

Year Title Altmetric
2013 Intervention and Control of Gene Regulatory Networks: Theoretical Framework and Application to Human Melanoma Gene Regulation.  215-238. 2013

Teaching Activities

  • MA454 - Interm Differential Equations (Spring Term 2021) 2021
  • MA554 - Interm Differential Equations (Spring Term 2021) 2021
  • MA587 - Advanced Probability (Spring Term 2021) 2021
  • MA687 - Advanced Probability (Spring Term 2021) 2021
  • MA227 - Calculus III (Spring Term 2020) 2020
  • MA227 - Calculus III (Spring Term 2020) 2020
  • MA125 - Calculus I (Fall Term 2019) 2019
  • MA227 - Calculus III (Fall Term 2019) 2019
  • MA125 - Calculus I (Spring Term 2019) 2019
  • MA227 - Calculus III (Spring Term 2019) 2019
  • MA227 - Calculus III (Fall Term 2018) 2018
  • MA690 - Mathematics Seminar (Fall Term 2018) 2018
  • MA227 - Calculus III (Summer Term 2018) 2018
  • MA434 - Algebra I: Linear (Summer Term 2018) 2018
  • MA534 - Algebra I: Linear (Summer Term 2018) 2018
  • MA252 - Intro Differential Equations (Spring Term 2018) 2018
  • MA486 - Mathematical Statistics (Spring Term 2018) 2018
  • MA586 - Mathematical Statistics (Spring Term 2018) 2018
  • MA227 - Calculus III (Fall Term 2017) 2017
  • MA486 - Mathematical Statistics (Spring Term 2017) 2017
  • MA586 - Mathematical Statistics (Spring Term 2017) 2017
  • MA126 - Calculus II (Fall Term 2016) 2016
  • MA485 - Probability (Fall Term 2016) 2016
  • MA585 - Intro to Probability (Fall Term 2016) 2016
  • MA593 - Special Topics in Mathematics (Fall Term 2016) 2016
  • MA693 - Special Topics in Mathematics (Fall Term 2016) 2016
  • MA126 - Calculus II (Spring Term 2016) 2016
  • MA692 - Special Topics in Mathematics (Spring Term 2016) 2016
  • MA745 - Functional Analysis I (Spring Term 2016) 2016
  • MA227 - Calculus III (Fall Term 2015) 2015
  • MA445 - Complex Analysis (Fall Term 2015) 2015
  • MA648 - Complex Analysis (Fall Term 2015) 2015
  • MA125 - Calculus I (Fall Term 2014) 2014
  • MA227 - Calculus III (Fall Term 2014) 2014
  • MA125 - Calculus I (Spring Term 2014) 2014
  • MA227 - Calculus III (Spring Term 2014) 2014
  • MA227 - Calculus III (Spring Term 2013) 2013
  • MA454 - Interm Differential Equations (Spring Term 2013) 2013
  • MA554 - Interm Differential Equations (Spring Term 2013) 2013
  • MA227 - Calculus III (Fall Term 2012) 2012
  • MA227 - Calculus III (Spring Term 2012) 2012
  • MA693 - Special Topics in Mathematics (Spring Term 2012) 2012
  • MA793 - Special Topics in Mathematics (Spring Term 2012) 2012
  • MA125 - Calculus I (Fall Term 2011) 2011
  • MA227 - Calculus III (Fall Term 2011) 2011
  • MA693 - Special Topics in Mathematics (Fall Term 2011) 2011
  • MA793 - Special Topics in Mathematics (Fall Term 2011) 2011
  • MA454 - Interm Differential Equations (Spring Term 2011) 2011
  • MA554 - Interm Differential Equations (Spring Term 2011) 2011
  • MA646 - Real Analysis II (Spring Term 2011) 2011
  • MA227 - Calculus III (Fall Term 2010) 2010
  • MA645 - Real Analysis I (Fall Term 2010) 2010
  • MA227 - Calculus III (Spring Term 2010) 2010
  • MA690 - Mathematics Seminar (Spring Term 2010) 2010
  • MA125 - Calculus I (Fall Term 2009) 2009
  • MA631 - Algebra II (Fall Term 2009) 2009
  • MA125 - Calculus I (Summer Term 2009) 2009
  • MA445 - Complex Analysis (Summer Term 2009) 2009
  • MA545 - Complex Analysis (Summer Term 2009) 2009
  • MA227 - Calculus III (Spring Term 2009) 2009
  • MA125 - Calculus I (Fall Term 2008) 2008
  • MA126 - Calculus II (Fall Term 2008) 2008
  • MA252 - Intro Differential Equations (Spring Term 2008) 2008
  • MA435 - Algebra II: Modern (Spring Term 2008) 2008
  • MA125 - Calculus I (Fall Term 2007) 2007
  • Education And Training

  • Doctor of Philosophy in Mathematics, Saint-Petersburg State University 2003
  • Full Name

  • Roman Shterenberg