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Harmonic and Functional Analysis - Data Science

Level of Education : PhD

Faculty :Basic Sciences & Engineering

Group :Mathematics and Statistics

## Biography

Educations:

- Ph. D. Harmonic Analysis, Kharazmi University (MGP link)

Thesis: Homological and Cohomological Properties of Banach Algebras Based on Characters

- M. Sc. Mathematical Analysis, Kharazmi University, Tehran, Iran

Thesis: Generalized Notions of Amenability
Supervisor: Prof. Alireza Medghalchi.

- B. Sc. Pure Mathematics,  Payamnour University, Gonbad Kavous Branch.

Responsibilities:

- Head of the Mathematics and Statistics Department (Winter 2017- Winter 2019).

- Chairman of the 2nd National Congress on Mathematics and Statistics, Gonbad Kavous University, 20 February 2020.

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My Erdos Number is 4

- John. S. Pym
- Neil. B. Hindman
- Paul Erdos

Reference: MathSciNet

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Contact Information:

Send email to me

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Other Things:

Personal Webpage

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Quote:

"We do not know and we will not know"

due to "Emil du Bois-Reymond"

"We must know and we will know"

due to "David Hilbert"

## Reasearch Areas

1- General Theorey of Banach Algebras.

2- Functional and Abstract Harmonic Analysis.

3- Homological Properties of Banach Modules.

4- Locally Compact Quantum Group.

5- Data Science (The only active research area these days, for me).

MSC: 43A07, 43A10, 43A15, 43A20, 46H05, 46H25, 46M10, 22D15.

## Journal Papers

Selected publications:

1-  Some properties of functional Banach algebras, Facta Univ. Ser. Math. Inform. Vol. 28, No. 2 (2013), 189--196.

2-  On $(\sigma,\tau)$-module extension Banach algebras, J. Linear. Topological. Algebra. Vol. 03, No. 04  (2014), 185--194. (Unfortunately there is a corrigendum of this work that you can see here).

3-  Generalized injectivity of Banach modules, Sarajevo. J. Math. Vol.11 (24), No.2, (2015), 197--204.

4-  Hereditary properties of character injectivity with application to semigroup algebras, Ann. Funct. Anal. 6 (2015), No. 2, 162--172.

5-  On $\Delta$-weak $\phi$-amenability of Banach algebras, U. P. B. Sci. Bull. Series A. Vol. 77 (4), (2015),  165--176.

6-  Closed ideals with bounded $\Delta$-weak approximate identities in some certain Banach algebras, Miskolc Mathematical Notes, Vol. 17 (2016), No, 1, 413--420.

7- n-multipliers and their relations with n-homomorphisms, Vietnam J. Math., (2017) 45: 451--457.

8- $\phi$-injectivity and character injectivity of Banach modules, U. P. B. Sci. Bull. Series A, Vol. 78, Iss. 3, (2016), 43--52.

9- n-Jordan multipliers, Survey in Mathematics and its Applications, Vol. 13, (2018), 121--129.

10- On character space of the algebra of BSE-functions, Sahand Comminucations in Mathematical Analysis, Vol. 12, Iss. 1, 187--194.

12- April 2019.

13- On bounded weak approximate identities and a new version of themGlobal Analysis and Discrete Mathematics, Vol. 4, Iss. 1, pp. 7--13.

14-

15- A p-ideal in

17- BSE property of the completion of Fourier algebra in its multiplier algebra (in Persian). To appear in Journal of New Research in Mathematics

18- On a Banach algebra generated in its multiplier space and applications to locally compact groups. To appear in Analysis Mathematica

What am I doing these days?

I'm reading & researching about Data Science which is a trend topic in the world over. It is a combination of Mathematics, Statistics and Computer Science. I'm going to establish a research Data Science group in order to perform the real world problems projects. If you are interested, please do not hesitate and send an email to me as soon as possible. My email address is (x@hotmail.com) in which x is equal to fozouni.

Services for international communities:

1- Reviwer for MathSciNet.

2- Referee for Int. J. Nonlinear Anal. Apl.

3- Referee for Complex and Nonlinear Systems.

4- Referee for Caspian Journal of Mathematical Sciences.

My Complete CV

Notes:

i-.

## Weekly Schedule

Duo to Coronavirus, the whole classes of this semester will be held electronically.

## Courses Taught

1- General Topology.

2- Algebraic Topology.

3- Calculus 1,2.

4- Foundation of Geometry.

5- Dynamical Systems.

6- Complex Functions.

7- Real Analysis 1.