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Professor

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(205) 934-2154
University Hall 4035

Research and Teaching Interests: Mathematical physics, Functional analysis, Operator theory, Spectral theory, Scattering theory, PDE, Boundary problems, Inverse problems, Non-linear differential equations, Mathemathical biology

Office Hours: By appointment

Education:

  • B.S., St. Petersburg St. Univ. (Russia), Physics
  • M.S., St. Petersburg St. Univ. (Russia), Physics
  • Ph.D., St. Petersburg St. Univ. (Russia), Mathematics

I originated from St. Petersburg, Russia. After my Ph.D. in 2003 (advisor: Professor M. Birman) I continued as a post-doc at the Royal Institute of Technology, Sweden, and Ludwig-Maximilians-Universität, Munich. I moved to the United States in 2005 as visiting assistant professor at University of Wisconsin-Madison and finally started my work at UAB in 2007.

In teaching I prefer to create an “at home” environment. I tend to describe how problems and techniques we develop can be applied to different fields. That makes students more interested in the subject. I also practice team work, where students can more deeply understand the topic during peer-to-peer discussion.

I am involved into different high school activities like the Talent Search Days organized by our department. At the undergraduate level I mentor our fast-track students, providing additional individual material based on student's interest and of course my own research activities. I also serve as Ph.D. advisor for graduate students. In this way students obtain continuous training and a sense of what science is, which makes them much better prepared for their future career.

pdfDownload Curriculum Vitae

Research Interests

My scientific interests are focused on both theoretical and applied mathematics. I lead joint research with departments of mathematics and engineering from University College London, Duke University, Chicago University, Rice University, Rowan University and many others. I closely collaborate with my colleagues from other areas, such as engineering, physics, chemistry, medicine, aero engineering, etc. This allows us to provide great opportunities for students to merge into scientific society while working in active areas of modern mathematics.

Recent Courses

  • Calculus
  • Ordinary Differential Equations
  • Linear Algebra
  • Probability
  • Statistics
  • Methods of Mathematical Physics I (complex analysis)
  • Methods of Mathematical Physics II (distributions, partial differential equations)
  • Real Analysis
  • Functional Analysis
  • Mathematical Biology

Select Publications

pdfDownload list of publications

  • Roman Shterenberg and Yu. Karpeshina. Extended States for the Schroedinger Operator with Quasi-Periodic Potential in Dimension Two, arxiv:1408.5660, to appear in Memoirs of AMS.
  • Roman Shterenberg, Yu. Karpeshina, Young-Ran Lee, and G. Stolz. Ballistic Transport for the Schroedinger Operator with Limit-Periodic or Quasi-Periodic Potential, Dimension Two, Comm. Math. Phys. August 2017, 354, 1, 85 -113.
  • Roman Shterenberg and L. Parnovski. Complete Asymptotic Expansion of the Spectral Function of Multidimensional Almost-Periodic Schroedinger Operators, Duke Math. J. 165 (2016), no. 3.
  • Roman Shterenberg, N. Bouaynaya, D. Schonfeld and H.M. Fathallah-Shaykh. Intervention and Control of Gene Regulatory Networks, Statistical Diagnostics of Cancer: Genetics and Genomics Data, Frank Emmert-Streib and Matthias Dehmer (Eds.), Wiley-Blackwell, 2013.
  • Roman Shterenberg and L. Parnovski. Complete Asymptotic Expansion of the Integrated Density of States of Multidimensional Almost-Periodic Schroedinger Operators, Ann. of Math. 176 (2012), no. 2, 1039-96.
  • Roman Shterenberg, N. Bouaynaya, and D. Schonfeld. Inverse Perturbation for Optimal Intervention in Gene Regulatory Networks, Bioinformatics, Vol. 27, no. 1 (2011), 103-10.
  • Roman Shterenberg, M. Marletta, and R. Weikard. On the Inverse Resonance Problem for Schroedinger Operators, Comm. Math. Phys. 295 (2010), 465-84.
  • Roman Shterenberg, A. Kiselev, and F. Nazarov. Blow up and Regularity for Fractal Burgers Equation, Dynamics of PDE 5 (2008), no. 3, 211-41.
  • Roman Shterenberg. Schroedinger Operator in a Periodic Waveguide on the Plane and Quasiconformal Mappings, J. Math. Sci. (N.Y.) 127 (2005), no. 2, 1936-56.

Grants and Awards

  • September 2015 - August 2018 — NSF Grant no. CCF-1527822 (with N. Bouaynaya), Theoretical and Algorithmic Foundations of Constrained Particle Filtering, $121,853 (sub-award), $349,901 (total)
  • September 2014 - August 2019 — Simons Foundation Grant no. 312879, Spectral properties of almost-periodic operators, $35,000
  • 2013 — Best Paper Award at GENSIPS13
  • September 2009 - August 2012 — NSF Grant no. DMS-0901015, Spectral properties of the periodic differential operators, $100,231
  • 2003 — Russian Federation Research Grant RFBR no. 03-01-06386
  • 1999 – 2001 — St. Petersburg University Merkurev Fellowship for young advanced researchers
  • 1998 — St. Petersburg City Fellowship for advanced students