**Education and scientific degree**

1998 № 1, Phys-Math. school at Yerevan State University (certificate with honours)

2004 Yerevan State University, Mathematical department (diploma with honours)

2004- 2006 Aspirantura, the Yerevan State University (Scientific adviser – Prof. N.B. Yengibaryan)

2006 Candidate of Sciences (=PhD) in Physics and Mathematics

Dissertation: “On factorization methods for solution of some classes of integral and integro-differential equations on half line”, (A.01.02, Differential Equations), Yerevan State University.

2011 Doctor of Science in Physics and Mathematics ( =Habilitation)

Dissertation: “Questions of solvability of some nonlinear integral and integro-differential equations with noncompact operators in critical case”, (A.01.02, Differential Equations), Yerevan State University.

**Academic appointments**

2005-present Department of Methods of Mathematical Physics, Institute of Mathematics NAS, Armenia

2016-present Head Scientist researcher in Department of Methods of Mathematical Physics, Institute of Mathematics NAS, Armenia,

2018-- professor,

2020-- Head of the Department of Differential Equations of Yerevan State University

Teaching: 2004--2006, 2012-present

**General courses**

Mathematical Analysis,

Differential Equations,

Mathematical Physics,

Functional Analysis

Optimal Control,

**Special courses**

Positive Solutions of Operator Equations,

Convolution type Integral Equations,

Nonlinear Analysis (at the Departments of Mathematics and Mechanics, Computational Mathematics and Informatics of Yerevan State University).

**PhD Students**

1. Marine Broyan

(2008-2013),

Dissertation: “Questions of solvability of nonlinear integral and Integro-Differential Equations with noncompact operators and their discrete analogy” (A.01.02, Differential Equations), Yerevan, SEUA, 2013, PhD,

2. Haykanush Petrosyan

(2012-2015)

Dissertation: “Some integral and integro-Differential Equations with Hammerstein Type noncompact operators on semi-axis” (A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2015, PhD,

3. Tigran Sardaryan

(2013-2016)

Dissertation: "The issues of global solvability for some nonlinear problems of physical kinetics" A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2016, PhD,

4. Hermine Azizyan

(2013-2016)

Dissertation:

"The Issues of Solvability for some convolution type integral and integro-differential equations", (A.01.02, Differential Equations and Mathematical Physics), Yerevan State University, 2016, PhD.

5. Metaksya Avetisyan

(2017-2020)

"Some nonlinear integral equations in the theory of p-adic strings".

**Awards and prizes**

1997 First prize in Republic mathematical olympiad between lyceums,

2003, 2004 Scholarship of Research Mathematics foundation,

2003 First prize of competition the best student of YSU,

2013 Laureate of the first prize after Sergey Mergelyan for young scientist (Mathematics and Informatics),

2013 Laureate of the first prize “Best scientific work for young scientist”, (Mathematics and Mechanics), National Academy of Sciences of Armenia,

2013 Winner of “Research Support Program of young Scientist-2013”, (Mathematics ), State Committee of Sciences of Armenia, Ministry of Education and Science,

2014 Winner of “Productive Scientist-2014”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

2016 Winner of “Productive Scientist-2016”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

2016 Winner of “Research Support Program of young Scientist-2016”, (Mathematics ), State Committee of Sciences of Armenia, Ministry of Education and Science

2018 Winner of “Productive Scientist-2018”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

2019 The President Prize of the Republic of Armenia (Development of Natural Sciences) https://www.presidentprize.am/en/313_0

2019 - 2021 The main performer of the grant of the Russian Science Foundation (project No. 19-11-00223)

2020 Winner of “Productive Scientist-2020”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

2021 Winner of “Productive Scientist-2021”, Section on Natural Sciences (Top 100), State Committee of Sciences of Armenia, Ministry of Education and Science.

**Scientific-organizational responsibilities**

Member of the Academic Council of Institute of Mathematics of National Academy Sciences Armenia

Member of Armenian Mathematical Union

Member of specialized Committee on Mathematics №050 at Yerevan State University.

Member of the Editorial Board of the Journal of Contemporary Mathematical Analysis

**Conferences, International collaboration**

2002 ISAAC conference on Complex analysis Differential equations and Related topics. Yerevan, Armenia

2004 International Workshop Global and Geometric aspects of nonlinear PDF. Yerevan, Armenia

2005 International Conference Harmonic Analysis and Approximations. Tsaghkadzor, Armenia

2006 Russian-Armenia Workshop Mathematical physics and Related topics. Yerevan, Armenia

2008 Second Russian-Armenian Workshop Mathematical physics, complex analysis and Related topics, Moscow, Russia

2008 International conference Multivariate statistical analysis and Econometrics. Moscow, Russia

2009 International conference p-adic mathematical physics Hrodno (Belarus)

2010 Third Russian-Armenian Workshop on Mathematical physics, complex analysis, and related topics. Tsaghkadzor, Armenia

2012 Third International Conference on Mathematical Physics and Its Applications (Russia, Samara), Steklov Mathematical Institute of the Russian Academy of Sciences, Samara State Technical University, Samara State University.

2012 4th Russian-Armenian workshop on mathematical physics, complex analysis and related topics, Krasnoyarsk, Russia, Siberian Federal University, Steklov Mathematical Institute of Russian Academy of Sciences, Institute of Mathematics of National Academy of Sciences of Republic of Armenia.

2013 International Conference "Mathematical Physics. "Vladimirov-90" dedicated to the 90th anniversary of academician V. S. Vladimirov, November 13, Moscow, Steklov Mathematical Institute of RAS.

2014 4th International Conference on Mathematical Physics and Its Applications (Russia, Samara), Steklov Mathematical Institute of the Russian Academy of Sciences, Samara State Technical University, Samara State University.

2014 5th Russian-Armenian workshop on mathematical physics, complex analysis and related topics, Yerevan, Republic of Armenia, Institute of Mathematics of National Academy of Sciences of , Steklov Mathematical Institute of Russian Academy of Sciences.

2016 6th Russian-Armenian Workshop on Mathematical Analysis, Mathematical Physics and Analytical Mechanics" September 11–16, 2016, Rostov-na-Donu. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Southern Federal University, Rostov-on-Don. Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan

Don State Technical University, Rostov-on-Don.

**Scope of scientific interests**

Nonlinear Analysis, integral and integro-differential equations with Hammerstein and Urysohn type operators. Convolution type integral equations, the theory of factorization of integral and integro-differential operators. Boltzmann equation.

**Languages**

Armenian, Russian, English

**E-mail**

khachatur.khachatryan@ysu.am