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Atanas Stefanov.

Professor This email address is being protected from spambots. You need JavaScript enabled to view it.
(205) 934-8551
University Hall 4049

Research Interests: Analysis of Partial Differential Equations, in particular soliton and near soliton dynamics, local and global behavior of dispersive PDE, asymptotics for dissipative PDE.

Teaching Interests: Differential equations, Linear algebra, Real/complex/functional analysis.

Office Hours: By appointment

Education:

  • B.S., M.S., Sofia University, Mathematics
  • M.S./DEA, University Paris VI, Mathematics
  • Ph.D., University of Missouri, Mathematics

Atanas Stefanov CV Opens an external link.


  • Academic Appointments

    All in mathematics:

    • 1999-2000, Postdoctoral Fellow, Syracuse University
    • 2000-2002, Visiting Assistant Professor, UMASS
    • 2002-2007, Assistant Professor, University of Kansas
    • 2007-2012, Associate Professor, University of Kansas
    • 2012-2021, Professor, University of Kansas
    • 2021 – date, Professor, UAB
  • Select Publications
    • S. Hakkaev, M. Stanislavova, Atanas G. Stefanov, Existence and stability for the travelling waves of the Benjamin equation, Nonlinearity (2025).
    • Atanas G. Stefanov, R.M. Ross, P. Kevrekidis, Ground states in spatially discrete non-linear Schrödinger lattices, Nonlinearity (2023).
    • S. Hakkaev, M. Stanislavova, Atanas G. Stefanov, On the stability of periodic waves for the cubic derivative NLS and the quintic NLS, J. Nonl. Sci. 31, (2021).
    • Atanas G. Stefanov, On the normalized ground states of second order PDE's with mixed power non-linearities, Comm. Math. Phys., 369, (2019).
    • A. Comech, T.V. Phan, Atanas G. Stefanov, Asymptotic stability of solitary waves in generalized Gross - Neveu model, Ann. Inst. H. Poincare Anal. Non Lineaire, 34, (2017).
    • M. Stanislavova, Atanas G. Stefanov, On the spectral problem Lu=lambda u’ and applications, Comm. Math. Phys. 343 (2016).
    • Atanas G. Stefanov, P. Kevrekidis, On the existence of solitary traveling waves for generalized Hertzian chains, Journal of Nonlinear Science, (2012).
    • Atanas G. Stefanov, P. Kevrekidis, Asymptotic behavior of small solutions for the discrete nonlinear Schr\"odinger and Klein-Gordon equations, Nonlinearity, (2005).
    • A. Nahmod; Atanas G. Stefanov; K. Uhlenbeck, On the well-posedness of the wave map problem in high dimensions, Comm. Anal. Geom. (2003).
    • A. Nahmod; Atanas G. Stefanov; K. Uhlenbeck, On Schrodinger maps, Comm. Pure Appl. Math. (2003).
  • PhD Students

    Vishnu Iyer, University of Alabama - Birmingham, Ph.D. 2025, Dissertation: Solitary waves for power degenerate NLS and a fourth order wave equation’’.
    First job: Model Risk Analyst, First Horizon Bank, Birmingham, AL.

    Abba Ramadan, Ph.D. 2022, University of Kansas, Dissertation: Existence and Stability of Solitary Waves for NLS with Defects.
    First job: Postdoctoral fellow, University of Alabama
    Current job: Tenure-track Assistant Professor, University of Alabama

    Brad Isom (co-advised by D. Mantzavinos), Ph.D. 2021, University of Kansas, Dissertation: Growth Bounds and Nonlinear Smoothing for the Periodic Benjamin-Ono and Derivative Nonlinear Schrodinger Equations.
    First job: Credit risk analyst, T-Mobile, Kansas City
    Current job: Credit strategy manager, T-Mobile, Kansas City

    Fazel Hadadifard, Ph.D. 2019, University of Kansas, Dissertation: Sharp time asymptotics for the quasi-geostrophic equation, the Boussinesq system and near plane waves of reaction-diffusion models
    First job: Visiting Assistant Professor, Drexel University., Visiting Assistant Professor, University of California - Riverside
    Currently: AI Mathematician at META (Facebook)

    Iurii Posukhovsky, Ph.D. 2019, University of Kansas, Dissertation: On the Existence and Stability of Normalized Ground States of the Kawahara, Fourth Order NLS and the Ostrovsky Equations
    First job: Data scientist - Home Depot, Atlanta, GA
    Current job: Data Science manager - Wells Fargo Bank, Charlotte, NC

    Seungly Oh, Ph.D. 2012, University of Kansas, Dissertation: Normal Form Approach for Dispersive Equations with Low-Regularity Data.
    First job: post-doc at Univ. of Missouri, Columbia
    Current: Associate Professor, Western New England University, Springfield, MA