Contact Information
Mailing Address 
Mathematical division B. Verkin ILTPE of NASU 47 Nauky Ave. 61103, Kharkiv, Ukraine 


Office  Mathematical division, Room 214  
iraegorova@gmail.com 
Education and degrees
Habilitation  "Inverse problem method and non decreasing solutions of nonlinear evolutionary equations", Institute of Mathematics, Kyiv, 2010. 

PhD Thesis  "Spectral analysis for Dirac operators and Jacobi
matrices with limit periodic coefficients, which are
fast approximated by periodic ones", Kharkiv State University, 1987 (scientific adviser L. Pastur, ILTPE, Kharkiv). 
Postgraduate  Kharkiv State University (19821985). 
Graduate 
Kharkiv State University (19771982), Diploma with honour in Mathematics, 1982. 
Research interests
• Inverse spectral analysis for differential and difference operators.
• Direct and inverse scattering theory.
• Nonlinear evolutionary equations: inverse scattering transform and long time asymptotics.
• Direct and inverse scattering theory.
• Nonlinear evolutionary equations: inverse scattering transform and long time asymptotics.
Employment
— since 2013:
leading researcher, ILTPE, Kharkiv
— 20042013: senior researcher, ILTPE, Kharkiv
— 19992004: associate professor, Kharkiv National University
— 19891999: researcher, ILTPE, Kharkiv
— 20042013: senior researcher, ILTPE, Kharkiv
— 19992004: associate professor, Kharkiv National University
— 19891999: researcher, ILTPE, Kharkiv
Teaching
— Vector Calculus, Purdue University (Spring 2018)
— Partial Differential Equations Kharkiv National University (Fall 2016 and Spring 2017)
— Topics In Vector Calculus, Purdue University (Spring 2013)
— Inverse scattering transform, graduate level course, Kharkiv National University (Spring 2012, Spring 2017)
— Asymptotic evaluation of integrals, graduate level course, Kharkiv National University (Spring 2011)
— Applied asymptotic analysis, seminar for graduate students, Faculty of Mathematics, University of Vienna (Winter 20092010)
— Riemann surfaces and nonlinear equations, graduate level course, Kharkiv National University (Fall 2009)
— Introduction to inverse scattering theory and application, graduate level course, Faculty of Mathematics, University of Vienna (Winter 20082009)
— Introduction to inverse spectral problems, graduate level course, Faculty of Mathematics, University of Vienna (Spring 2007)
— Calculus I, Calculus II, Linear Algebra, Kharkiv National University (academic years 19992006)
— Calculus I, Calculus II, Kharkiv Polytechnic Institute ( academic year 19981999)
— Partial Differential Equations Kharkiv National University (Fall 2016 and Spring 2017)
— Topics In Vector Calculus, Purdue University (Spring 2013)
— Inverse scattering transform, graduate level course, Kharkiv National University (Spring 2012, Spring 2017)
— Asymptotic evaluation of integrals, graduate level course, Kharkiv National University (Spring 2011)
— Applied asymptotic analysis, seminar for graduate students, Faculty of Mathematics, University of Vienna (Winter 20092010)
— Riemann surfaces and nonlinear equations, graduate level course, Kharkiv National University (Fall 2009)
— Introduction to inverse scattering theory and application, graduate level course, Faculty of Mathematics, University of Vienna (Winter 20082009)
— Introduction to inverse spectral problems, graduate level course, Faculty of Mathematics, University of Vienna (Spring 2007)
— Calculus I, Calculus II, Linear Algebra, Kharkiv National University (academic years 19992006)
— Calculus I, Calculus II, Kharkiv Polytechnic Institute ( academic year 19981999)
Research Articles in Journals
 Longtime asymptotics for the Toda shock problem: Nonoverlapping spectra (with J. Michor and G. Teschl), Zh. Mat. Fiz. Anal. Geom. 3, 345 (2018). [PDF]
 Rarefaction waves for the Toda equation via nonlinear steepest descent (with J. Michor and G. Teschl), Discrete Contin. Dyn. Syst. 38, 20072028 (2018). [PDF]
 On the longtime asymptotics for the Kortewegde Vries equation with steplike initial data associated with rarefaction waves (with K. Andreiev), Zh. Mat. Fiz. Anal. Geom. 4, 325343 (2017). [PDF]
 Uniqueness of the solution of the RiemannHilbert problem for the rarefaction wave of the Kortewegde Vries equation, (with K. Andreiev) DANU 11, 39 (2017). [PDF]
 Rarefaction waves of the Kortewegde Vries equation via nonlinear steepest descent (with K. Andreiev, T.L. Lange and G. Teschl) J. Differential Equations 261 (2016) 53715410. [PDF]
 Dispersion estimates for onedimensional Schr¨odinger and KleinGordon equations revisited (with E. Kopylova, V. Marchenko and G. Teschl) Russian Math. Surveys 71 (2016) 326. [PDF]
 On the form of dispersive shock waves of the Kortewegde Vries equation (with Z. Gladka and G. Teschl) Zh. Mat. Fiz. Anal. Geom. 12 (2016) 316. [PDF]
 Properties of the scattering matrix and dispersion estimates for Jacobi operators (with M. Holzleitner and G. Teschl) J. Math. Anal. Appl. 434 (2016) 956966. [PDF]
 Zero energy scattering for onedimensional Schrödinger operators and applications to dispersive estimates (with M. Holzleitner and G. Teschl) Proc. Amer. Math. Soc. Ser. B 2 (2015) 5159. [PDF]
 Dispersion estimates for onedimensional discrete Schrödinger and wave equations (with E. Kopylova and G. Teschl), J. Spectr. Theory 5 (2015) 663696. [PDF]
 Inverse scattering theory for Schr?dinger operators with steplike potentials (with Z. Gladka, T.L. Lange and G. Teschl) Zh. Mat. Fiz. Anal. Geom 11 (2015) 123158. [PDF]
 Longtime asymptotics for the Kortewegde Vries equation with steplike initial data (with G. Teschl, Z. Gladka, and V. Kotlyarov) Nonlinearity 26 (2013) 18391864. [PDF]
 On the asymptotic properties of polynomials orthogonal with respect to varying weights and related problems of spectral theory (with L. Pastur), Algebra i Analiz 25 (2013), no. 2, 101–124 (Russian); translation in St. Petersburg Math. J. 25 (2014), no. 2, 223240.
 Scattering theory with finitegap backgrounds: Transformation operators and characteristic properties of scattering data (with J. Michor and G. Teschl), Math. Phys. Anal. Geom. 16 (2013) 111136. [PDF]
 On the Cauchy problem for the Kortewegde Vries equation with steplike finitegap initial data II. Perturbations with finite moments (with G. Teschl), J. d’Analyse Math., 115 (2011) 71–101. [PDF]
 On the Cauchy problem for the modified Kortewegde Vries equation with steplike finitegap initial data, with G. Teschl, Proceedings of the International Research Program on Nonlinear PDE, H. Holden and K. H. Karlsen (eds), Contemp. Math. 526, Amer. Math. Soc., Providence (2010) 151158. [PDF]
 A PaleyWiener theorem for periodic scattering with applications to the Kortewegde Vries equation (with G. Teschl), Zh. Mat. Fiz. Anal. Geom., 6, no. 1 (2010) 2133. [PDF]
 Inverse scattering transform for the Toda hierarchy with steplike finitegap backgrounds (with J. Michor and G. Teschl), J. Math. Phys., 50, no. 10 (2009), 103521, 9 pp. [PDF]
 On the Cauchy problem for the Kortewegde Vries equation with steplike finitegap initial data. I. Schwartztype perturbations (with K. Grunert and G. Teschl), Nonlinearity, 22, no. 6 (2009) 1431 1457. [PDF]
 Reconstruction of the transmission coefficient for steplike finitegap backgrounds (with G. Teschl), Oper. Matrices, 3, no. 2 (2009) 205214. [PDF]
 Soliton solutions of the Toda hierarchy on quasiperiodic backgrounds revisited (with J. Michor and G. Teschl), Math. Nachr., 282, no. 4 (2009) 526539. [PDF]
 Inverse scattering theory for onedimensional Schrdinger operators with steplike finitegap potentials (with A. Boutet  de Monvel and G. Teschl), J. Anal. Math., 106 (2008) 271316. [PDF]
 Scattering theory for Jacobi operators with general steplike quasiperiodic background (with J. Michor and G. Teschl), Zh. Mat. Fiz. Anal. Geom., 4, no. 1 (2008) 3362. [PDF]
 Scattering theory for Jacobi operators with a steplike quasiperiodic background (with J. Michor and G. Teschl), Inverse Problems, 23 , no. 3 (2007) 905918. [PDF]
 Inverse scattering transform for the Toda hierarchy with quasiperiodic background (with J. Michor and G. Teschl), Proc. Amer. Math. Soc., no. 6 135 (2007) 18171827 (electronic). [PDF]
 The scattering problem for the SturmLiouville operator with a steplike asymptotically periodic potential( with J. Bazargan), Dopov. Nats. Akad. Nauk Ukr., no. 2 (2006) 712 (Russian).
 Scattering theory for Jacobi operators with quasiperiodic background (with J. Michor and G. Teschl), Comm. Math. Phys. 264, no. 3 (2006) 811842. [PDF]
 Discrete spectrum for complex perturbations of periodic Jacobi matrices (with L. Golinskii), J. Difference Equ. Appl., 11, no. 14 (2005) 11851203.
 On the location of the discrete spectrum for complex Jacobi matrices (with L. Golinskii), Proc. Amer. Math. Soc., 133, no. 12 (2005) 36353641 (electronic).
 On limit sets for the discrete spectrum of complex Jacobi matrices (with L. Golinskii), Mat. Sb., 196, no. 6 (2005) 43–70 (Russian); translation in Sb. Math. 196, no. 56 (2005) 817844.
 Transformation operator for Jacobi matrices with asymptotically periodic coefficients (with A. Boutet  de Monvel), J. Difference Equ. Appl., 10, no. 8 (2004) 711727.
 Jacobi operator with steplike asymptotically periodic coefficients (with J. Bazargan), Mat. Fiz. Anal. Geom. 10, no. 3 (2003) 425442.
 The scattering problem for steplike Jacobi operator, Mat. Fiz. Anal. Geom., 9, no. 2 (2002) 188205.
 The asymptotic solitons for Toda lattice in the resonance case, Nonlinear boundary problems, 11 (2001) 37–43.
 The Toda lattice with steplike initial data. Soliton asymptotics (with A. Boutet  de Monvel), Inverse Problems 16, no. 4, (2000) 955977.
 On solutions of nonlinear Schr¨odinger equations with Cantortype spectrum (with A. Boutet  de Monvel), J. Anal. Math., 72 (1997) 120.
 Soliton asymptotics of the Cauchy problem solution for the Toda lattice (with A. Boutet  de Monvel and E. Khruslov) Inverse Problems 13, no. 2 (1997) 223237.
 On the almost periodicity of ”reflectionless” Dirac operators with the Cantor spectrum (with A. Surkova), Dopov. Nats. Akad. Nauk Ukraine, no. 12 (1995) 1315 (Russian).
 The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense, Spectral operator theory and related topics, Adv. Soviet Math., 19, Amer. Math. Soc., Providence, RI, 1994, 181208.
 Almost periodicity of some solutions of the KdV equation with Cantor spectrum, Dopov. Akad. Nauk Ukraine, no. 7 (1993) 2629 (Russian).
 On a class of almost periodic solutions of the KdV equation with a nowhere dense spectrum, Dokl. Akad. Nauk 323, no. 2 (1992) 219–222 (Russian); translation in Russian Acad. Sci. Dokl. Math. 45, no. 2 (1993) 290293.
 Asymptotic behavior of solutions of the second boundary value problem in domains with random thin cracks (with E. Khruslov), Teor. Funktsii Funktsional. Anal. i Prilozhen, no. 52 (1989) 91–103 (Russian); translation in J. Soviet Math. 52, no. 5, (1990) 34123421.
 The complete set of spectral parameters of the Dirac operator with limitperiodic coefficients, Teor. Funktsii Funktsional. Anal. i Prilozhen, no. 47 (1987) 25–35 (Russian); translation in J. Soviet Math. 48, no. 6, (1990) 636643.
 Spectral analysis of Jacobi limitperiodic matrices, Dokl. Akad. Nauk Ukrain. SSR Ser. A, no. 3 (1987) 79 (Russian).
 Spectral properties of the Dirac operator with limitperiodic coefficients, Dokl. Akad. Nauk Ukrain. SSR Ser. A, no. 5 (1986) 1013 (Russian).
 Asymptotic behavior at low frequencies of the eigenvalue distribution of a disordered chain of atoms, Dokl. Akad. Nauk Ukrain. SSR Ser. A , no. 9 (1984) 912 (Russian).