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 OperatorsHelvetica Physica Acta.  15:263-312. 2014
2014 Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Pseudo-Differential OperatorsHelvetica Physica Acta.  15:263-312. 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]IEEE Signal Processing Magazine.  29:158-163. 2012
2012 On the inverse resonance problemfor Jacobi operators-uniqueness and stabilityJournal d'Analyse Mathématique.  117:221-247. 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 networksComputer applications in the biosciences : CABIOS.  27:103-110. 2011
2010 The Krein-von Neumann extension and its connection to an abstract buckling problemMathematical News / Mathematische Nachrichten.  283:165-179. 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 equationDynamics of Partial Differential Equations (DPDE).  5:211-240. 2008
2007 Homogenization of the periodic magnetic Schrödinger operator with degenerate lower edge of the spectrumJournal of Mathematical Sciences.  143:3004-3009. 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 potentialsJournal of Mathematical Sciences.  129:4087-4109. 2005
2005 The Schrödinger operator in a periodic waveguide on a plane and quasiconformal mappingsJournal of Mathematical Sciences.  127:1936-1956. 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 onesMatematicheskie Zametki / Mathematical Notes.  72:261-270. 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

  • 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