• Faculty Research Grant, Miami University, Summer 2019.
• Research Fellowship for a Master's Student that includes paid tuition and a stipend for Academic Year 2019/2020.
• NSF Research Grant DMS-1311313. $105,524. Duration 08/15/2013 - 07/31/2016. Project Title:  On three different manifestations of instability of fronts in parabolic and partially parabolic systems. 
  
• Collaboration Grant for Mathematicians from Simons Foundation $35,000. Duration 09/1/2012 -08/31/2017.  Project title: Traveling waves in nonlinear coupled systems. 
• NSF GRANT DMS-0908009. $63,087. Duration 07/07/2009 - 30/06/2011. Project title: Traveling Fronts with Unstable Continuous Spectrum: Geometric Structure and Nonlinear Stability Properties.
  
• Miami University CELTUA Grant: Major Teaching Project for Departments/Programs. Title: Enhancing teaching and learning in MTH245: Differential Equations for Engineers, $3000.
  
• Dean's Award, School of Arts and Sciences, Miami University, Summer 2012
• Faculty Research Grant, Miami University, Summer 2011 
• Research Fellowship for a Master's Student that includes paid tuition and a stipend for Academic Year 2011/2012
  

Publications

1. M. Bakhshi, A.Ghazaryan, V. Manukian, N. Rodriguez. Traveling wave solutions in a model for social outbursts in a tension-inhibitive regime. Studies in Applied Mathematics. 147:2 (2021) 650-674.
   
2. A. Ghazaryan, R.Kuske, E.Lawrence. Almost 20 years of the AWMmentor network. In AWM-Springer book: Association for Women in Mathematics: The First Fifty Years, editors: J.Beery, S. Greenwald, and C. Kessel. In print.
   
3. A. Ghazaryan, S. Lafortune, C. Linhart. Flame propagation in a porous medium. Physica D: Nonlinear Phenomena Available online 28 July 2020.
   
4. A. Ghazaryan, S. Lafortune, V. Manukian. Spectral analysis of fronts in a Marangoni-driven thin liquid film flow down a slope. SIAM J. on Applied Mathematics, 80(1) (2020), 95 -118.
   
5. H. Cai, A. Ghazaryan, V. Manukian. Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models. Math.Model. Nat. Phenom. 14:4 (2019). Special issue: Singular perturbations and multiscale systems.
   
6. A. Ghazaryan, Y. Latushkin, X. Yang. Stability of a planar front in a multidimensional reaction-diffusion system. SIAM J. on Math. Analysis 50:5 (2018) 5569-5615. PDF.
7. A. Ghazaryan, Y. Latushkin, A. Pogan. Spectrum of non-planar traveling waves. Integral Equations Operator Theory 90:3 (2018) 20pp. https://doi.org/10.1007/s00020-018-2447-5. Preprint. 
8. A. Ghazaryan, S. Lafortune, V. Manukian. Stability of nonlinear waves and patterns and related topics. Philos Trans A Math Phys Eng Sci. 2018 Apr 13; 376 (2117). pii: 20180001. doi: 10.1098/rsta.2018.0001.
   
9. A. Ghazaryan, S. Lafortune, P. McLarnan. Combustion waves in hydraulically resistant porous media  in a special parameter regime. Physica D: Nonlinear Phenomena, 332 (1), 2016, 23-33. Preprint.
10. A. Ghazaryan, S. Lafortune, V. Manukian. Stability of front solutions in a model for a surfactant driven flow. Physica D: Nonlinear Phenomena.  307 (1),  2015,  1-13. Preprint.
11. A. Ghazaryan, S. Lafortune, P. McLarnan. Stability analysis for fronts traveling in combustion in hydraulically resistant porous media.  SAIM J. on Applied Mathematics. 75 (3), 2015, 1225-1244. Preprint.
    

12. A. Ghazaryan, V. Manukian, S. Schecter. Traveling waves in Holling-Tanner model with diffusion. Proceedings of the Royal Society of London A.  Preprint. http://rspa.royalsocietypublishing.org/content/471/2177/20150045.
    

13. A. Ghazaryan, V. Manukian. Coherent structures in a model for mussel-algae Interaction.  SIAM J. of Dynamical Systems. 14 (2), 2015,  893-913. Preprint
    

14. A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves in partly parabolic systems. Mathematical Modelling of Natural Phenomena,  Cambridge University Press. 8 (2013),  31-47. PDF.
    
15. A. Ghazaryan,  S. Schecter, P.  Simon. Gasless combustion fronts with heat loss.  SIAM J. of Applied Mathematics,  73 (2013), No 3, 1303-1326.  PDF.
    
16. A. Ghazaryan, J. Humpherys, J. Lytle. Spectral behavior of combustion fronts with high exothermicity. SIAM J. of Applied Mathematics. 73 (2013), No. 1, 422-437.  PDF.
    
17. A. Ghazaryan, C. Jones. On the existence of high Lewis number combustion fronts. J. of Mathematics and Computers in Simulation: "On Nonlinear Waves: Computation and Theory,"   82  (2012)  1133-1141.  PDF.
18. A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves for degenerate systems of reaction-diffusion equations. Indiana Univ. Math. J. 60 (2011) 443-472. PDF.
    
19. A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models.  SIAM J. Math. Anal.  Volume 42, Issue 6, (2010)  2434-2472.
    
20. A. Ghazaryan, Y. Latushkin, S. Schecter, A. J. De Souza. Convective stability of combustion waves in one-dimensional solids.  Archive for Rational Mechanics and Analysis, 198   Issue: 3  (2010), 981-1030. PDF.
    
21. A. Ghazaryan,  P.  Gordon, A. Virodov. Stability of fronts and transient behavior in KPP systems.  Proceedings of the Royal Society A 466 (2010), 1769-1788.
    
22.  A. Ghazaryan. On the convective nature of instability of a front undergoing a supercritical Turing bifurcation,  J. of Mathematics and Computers in Simulation: "On Nonlinear Waves: Computation and Theory."  80 (2009), 10-19.
    
23. M. Beck, A. Ghazaryan, B. Sandstede. Nonlinear convective stability of traveling fronts near Turing and Hopf instabilities.  J. of Differential Equations 246 (2009) 4371-4390. PDF.
    
24.  A. Ghazaryan,  C. Jones. On the stability of high Lewis number combustion fronts.  J. of Discrete and Continuous Dynamical Systems 24, number 3, (2009) 809-826. PDF.
    
25. A. Ghazaryan. Nonlinear stability of high Lewis number combustion fronts,  Indiana Univ. Math. J. 58 No. 1 (2009), 181-212. PDF.
    
26. A. Ghazaryan, P. Gordon. The KPP type flame fronts in porous media. Nonlinearity 21 (2008) 973-992.
    
27. A. Ghazaryan, P. Gordon, C.K.R.T. Jones. Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity.  J. of Dynamics and Differential Equations 19 (2007) 951-966.
    
28. A. Ghazaryan, P. Gordon, C.K.R.T. Jones. On the uniqueness of the subsonic detonation waves in inert porous media. Proceedings (ed. by Krystyna Kuperberg) of the joint Workshop of AWM and MSRI Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik, MSRI, Berkeley, CA, May 18 - 20, 2006.
29. A. Ghazaryan, B. Sandstede.  Nonlinear convective instability of Turing-unstable fronts near onset: A case study. SIAM J. of Applied Dynamical Systems 6 (2007) 319-347. PDF
30. A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the structure of the scattering matrix of a differential operator of arbitrary order with coefficients summable on the entire axis. (in Russian) Doklady Akad. Nauk Armenii (96) 1, (1996).
31. A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the inverse scattering problem for a differential operator of arbitrary order with coefficients summable on the entire axis. II.  J. Contemp. Math. Analysis. 30 (1995), no. 1, 33-55.
32. A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the inverse scattering problem for higher-order differential operators with summable coefficients. I. English translation in J. Contemp. Math. Analysis. 29 (1994), no. 5, 42-63.
33. S. E. Bekhiri, A. R. Kazaryan (Ghazaryan), and I. G. Khachatryan. On the reconstruction of a regular two-term differential operator of arbitrary even order from the spectrum. (in Russian). Yerevan State University Press, Uchenye Zapiski 2 (1994) 181, 8-22.
34. S. E. Bekhiri, A. R. Kazaryan (Ghazaryan) and I. G. Khachatryan. Asymptotic formula for eigenvalues of a regular binomial differential operator of arbitrary even order. (in Russian). Yerevan State University Press, Uchenye Zapiski 1 (1994), 3-18.