selected publications academic article Berkolaiko, G., Comech, A., & Sukhtayev, A. (2015). Vakhitov-Kolokolov and energy vanishing conditions for linear instability of solitary waves in models of classical self-interacting spinor fields. NONLINEARITY. 28(3), 577-592. Komech, A. A., & Komech, A. I. (2013). On the titchmarsh convolution theorem for distributions on the circle. Functional Analysis and Its Applications. 47(1), 21-26. Berkolaiko, G., & Comech, A. (2012). On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D. Mathematical Modelling of Natural Phenomena (MMNP). 7(2), 13-31. Komech, A., & Komech, A. (2010). On global attraction to solitary waves for the KleinGordon field coupled to several nonlinear oscillators. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES. 93(1), 91-111. Komech, A., & Komech, A. (2010). Global Attraction to Solitary Waves for a Nonlinear Dirac Equation with Mean Field Interaction. SIAM Journal on Mathematical Analysis. 42(6), 2944-2964. Komech, A., & Komech, A. (2009). Global attraction to solitary waves for KleinGordon equation with mean field interaction. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 26(3), 855-868. Komech, A. I. (2008). Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation. Symmetry, Integrability and Geometry: Methods and Applications. 4. Komech, A., & Komech, A. (2007). Global Attractor for a Nonlinear Oscillator Coupled to the KleinGordon Field. Archive for Rational Mechanics and Analysis. 185(1), 105-142. Komech, A. I., & Komech, A. A. (2007). Global well-posedness for the Schrdinger equation coupled to a nonlinear oscillator. Russian Journal of Mathematical Physics. 14(2), 164-173. Komech, A. I., & Komech, A. A. (2006). On the global attraction to solitary waves for the KleinGordon equation coupled to a nonlinear oscillator. Comptes Rendus Mathematique (Academie des Sciences). 343(2), 111-114. Comech, A., & Cuccagna, S. (2000). Integral operators with two-sided cusp singularities. International mathematics research notices. 2000(23), 1225-1242. Comech, A. (1998). Damping estimates for oscillatory integral operators with finite type singularities. ASYMPTOTIC ANALYSIS. 18(3-4), 263-278. Comech, A. (1997). Oscillatory integral operators in scattering theory. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 22(5-6), 841-867.
teaching activities MATH291 Research Instructor MATH308 Differential Equations Instructor MATH309 Linear Alg For Diff Eq Instructor MATH407 Complex Variables Instructor MATH491 Research Instructor MATH601 Meth Appl Math I Instructor MATH602 Meth Appl Part Diff Eq Instructor MATH611 Intro Ord & Part Diff Eq Instructor MATH612 Part Diff Eq Instructor MATH664 Seminar Applied Math Instructor MATH685 Directed Studies Instructor MATH685 Directed Studies Instructor MATH689 Sptp:spectral Theory Of Non-s Instructor MATH691 Research Instructor
chaired theses and dissertations Pekmez, Hatice Kubra (2018-08). Dirac Operator with Concentrated Nonlinearity and Bifurcation of Embedded Eigenvalues from the Bulk of the Essential Spectrum.
education and training Ph.D. in Mathematics, Columbia University - (New York, New York, United States) 1997 M.S. in Theoretical Physics, Moscow Institute of Physics and Technology - (Dolgoprudnyy, Russia) 1993 Technical University of Darmstadt - (Darmstadt, Germany) , Postdoctoral Training 2009