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Dr. Seyed Mohsen Moosavi

Pooya

Education

Bachelor.

Sep.1999 - Sep.2003
Majoring in Pure Mathematics, Damghan University, Damghan, Iran.
GPA: 16.74 - 3.35

Master.

Sep.2003 - Mar.2006
Majoring in Pure Mathematics, Dynamical Systems, Shahid Beheshti University, Tehran, Iran.
Thesis: Structural Stability of Unimodal Maps.
Advisor: Dr. Bahman Honari.
GPA: 16.85 - 3.37

Ph.D.

Sep.2013 - To Date
Majoring in Pure Mathematics, Dynamical Systems & Ergodic Theory, Tarbiat Modares University, Tehran, Iran.
Thesis: Smooth Ergodic Properties of Endomorphisms.
Advisor: Dr. Khosro Tajbakhsh.
GPA: 17.12 - 3.42

Interests

My interests are in four branches:

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MATHEMATICS
Dynamical Systems & Ergodic Theory

Anosov Endomorphisms On Infra Nilmanifolds
Thermodynamic Formalism
Quantum Dynamical Systems

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PROGRAMMING
Web & Windows application

ASP.NET & C#
Web designing
MS SQL Server
C++ & Delphi

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    SOME ARTS    
Persian Arts

Playing the Setar
Persian Calligraphy

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  SOME SPORTS  
I do

Kung Fu (Tutayma Style)
Bodybiulding

Publication

Book:

Calculus I, ISBN: 978-600-6426-27-3

Articles:

Abasalt Bodaghi, Seyed Mohsen Moosavi, and Hamidreza Rahimi, The Generalized Cubic Functional Equations and Stability of Cubic Jordan *-Derivations. Journal of Annali dell'Universita di Ferrara, 59(2), 235-250 (2013)

Web Designing:

A site for an elementary school by the nane of "15 Khordad Elementary School".
SEE WEBSITE

A site for "School On Dynamical Systems & Ergodic Theory".
SEE WEBSITE

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ABSTRACT.

The Generalized Cubic Functional Equations and Stability of Cubic Jordan *-Derivations

In the current work, we obtain the general solution of the following generalized cubic functional equation $$\begin{aligned}&f(x+my)+f(x-my)\\&\quad =2\left( 2\cos \left( \frac{m\pi }{2}\right) +m^2-1\right) f(x)-\frac{1}{2}\left( \cos \left( \frac{m\pi }{2}\right) +m^2-1\right) f(2x)\\&\qquad +m^2\{f(x+y)+f(x-y)\} \end{aligned}$$ for an integer $m \ge 1$. We prove the Hyers–Ulam stability and the superstability for this cubic functional equation by the directed method and a fixed point approach. We also employ the mentioned functional equation to establish the stability of cubic Jordan $*$-derivations on $C^*$-algebras and $JC^*$-algebras.

Teaching Experiences

I have been teaching mathematical courses since 2005

(As a TA since 2000 to 2005)

TAUGHT COURSES

Topics in Ergodic Theory
Mathematical Analysis I, II, III
Complex Functions
Linear Algebra
General Topology
Geometry
Algebra I
Calculus I, II, III
Differential Equations
Discrete Mathematics
Statistics and Probability
Eng. Mathematics
Statistical and Mathematical softwares

UNIVERSITIES

Tarbiat Modares University, See website
Shahid Beheshti University, See website
Damghan University, See website
Payam Noor University
Azad University
Eyvanekey University
Shahab Danesh University

More about me

International Exams:

TOEFL ibt : 82

GRE general(> 1100) and math-subject(690)

Math Competitions:

Math competition for year 2000, Semnan , Iran.

25th conference and competition of Iran, Qazvin, Iran.

26th conference and competition of Iran, Zanjan, Iran.

The semifinal stage of 8th Math Olympiad,Semnan, Iran.

The final stage of 8th International Math Olympiad, Isfahan, Iran.

Workshops:

1st Workshop on Dynamical systems, IPM, Tehran, Iran, Sep. 29– Oct. 1 2014.

2nd Workshop on Dynamical systems, IPM, Tehran, Iran, 14–16 Dec. 2014.

School on Algebraic, Geometric and Probabilistic Aspect of Dynamical Systems and Control Theory, which hold at ICTP, Trieste, Italy, 4–15 July 2016.

School on Dynamical Systems and Ergodic Theory, which will be held at TMU, Tehran, Iran, 13–17 Feb. 2017.

CONTACT ME