Avetik Arakelyan | Institute of Mathematics

Current position

Senior researcher, Institute of Mathematics of the NAS RA

Work Address

24-b Bagramian ave., 0019 Yerevan, Armenia

Publications list

$https://www.researchgate.net/profile/Avetik_Arakelyan$

$MathSciNet$

$https://scholar.google.com/citations$

$http://orcid.org/0000-0002-9648-0488$

arXiv.org

Fields of Interests:

Partial differential equations
Calculus of variations
Optimization problems
Theory of Viscosity Solutions
Fractional Calculus
Numerical analysis
Free boundary problems
Quadrature Identities
Machine learning and Artificial Neural Networks

Education and Degrees

University/Institute:

Yerevan State University

2002 to 2006

Degree:

BSc in Mathematics

University/Institute:

Yerevan State University

2006 to 2008

Degree:

MSc in Mathematics

University/Institute:

KTH Royal Institute of Technology

2008 to 2011

Degree:

PhD in Mathematics

Thesis title : "The finite difference methods for Multi-phase free boundary problems"

Supervisor : Prof. Henrik Shahgholian

Professional Experience

Company Name:

National Institute for Research in Computer Science and Control (INRIA), Paris, France

Title:

PostDoctoral researcher

Time Period:

2011 to 2012

Company Name:

Institute of Mathematics, NAS of Armenia

Title:

Researcher

Time Period:

2011 to 2021

Company Name:

10WEB

Title:

Machine Learning engineer

Time Period:

2018 to 2022

Company Name:

Institute of Mathematics, NAS of Armenia

Title:

Senior researcher

Time Period:

2021

Teaching Experience

Fall 2017: Teaching Associate, CS112: Numerical Analysis , College of Science & Engineering, American University of Armenia.

Spring 2018: Teaching Associate, CS362: Time Series Analysis , College of Science & Engineering, American University of Armenia.

Spring 2019: Teaching Associate, CS251/340: Machine Learning , College of Science & Engineering, American University of Armenia.

Visits

Jan- Feb 2017, Supported by Qatar foundation to visit Qatar University, State of Qatar

May 2016, Invited visitor to KTH Royal Inst. of Technology, Sweden

Feb 2014 – April 2014, Invited visitor to the scientific meeting ”Free Boundary Problems and Related Topics” University of Cambridge, United Kingdom

April 2011, Supported by the Wallenberg foundation (Sweden) to visit
Instituto Superior Tecnico, Portugal

May 2010 – July 2010, Supported by the Wallenberg foundation (Sweden) to visit
University of Warwick, United Kingdom

Participation in Conferences

Conference Dedicated to the Memory of Sergey Mergelyan May 20-25, 2018, NAS of Armenia and Yerevan State University, Yerevan, Armenia,

Stochastic and Analytic Methods in Mathematical Physics

September 4-11, 2016, American University of Armenia, Yerevan, Armenia,

Nonlinear PDE’s and Free Boundary Problems,

March 29-31, 2016 Faculty of Mathematics and Mechanics of the YSU, Yerevan, Armenia

Algebraic Methods in Mathematical Physics,

Organized by Institute of Mathematics and Energetic University of Kazan (Russian Federation),

June 22-27, 2015, Yerevan, Armenia

Second International Conference Mathematics in Armenia: Advances and Perspectives,

August 24-31, 2013, Tsaghkadzor, Armenia (Dedicated to the 70th anniversary of foundation of NAS of Armenia)

CIMPA Summer school - Nonlinear Analysis and Geometric PDE,

15-24 June 2008, Tsaghkadzor, ARMENIA

Research Grants

Foundation Title:

State committee of science MES RA

Period:

2014 to 2015

Grant Title:

SCS 13YR-1A0038

Project Title:

Investigation of some free boundary problems arising in the physical growth models

Foundation Title:

State committee of science MES RA

Period:

2016 to 2018

Grant Title:

16YR‐1A017

Project Title:

On some differential equations with classical and fractional derivatives arising in applied sciences

Foundation Title:

State committee of science MES RA

Period:

2017 to 2018

Grant Title:

17YPR‐1A0010

Project Title:

Productive researcher grant

Foundation Title:

Qatar National Research Fund (QNRF)

Period:

2013 to 2017

Grant Title:

NPRP 5 - 088 - 1 - 021

Project Title:

Optimal Switching and Economic Cost Control

Foundation Title:

State committee of science MES RA

Period:

2018 to 2019

Grant Title:

18YPR‐1A0007

Project Title:

Productive researcher grant

Foundation Title:

Science Committee of RA

Period:

2024

Grant Title:

24IRF-1A001

Project Title:

Mean Field Games and Applications

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