Professor
(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.
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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
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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).
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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 AlabamaBrad 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 CityFazel 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, NCSeungly 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