Dr. Mohammad Fozouni

Assistant Professor of Mathematics, Harmonic and Functional Analysis

Dr. Mohammad Fozouni

Assistant Professor of Mathematics, Harmonic and Functional Analysis

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Biography

Mohammad Fozouni

Assistant Professor of Mathematics, Faculty of Basic Science and Engineering, Gonbad Kavous University

Harmonic and Functional Analysis

Educations:

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

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

                 Supervisor: Dr. Javad Laali
                 Advisor: Dr. Morteza Essmaili.
  - 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 (Spring 2017-In Progress).

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My Erdos Number is 4

- Mohammad Fozouni
- Javad Laali
- 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

Google Scholar Page

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Quotes:

"If you can't prove your theorem, keep shifting parts of the conclusion to the assumptions, until you can"

 

Reasearch Areas

1- General Theorey of Banach Algebra

2- Abstract Harmonic Analysis.

3- Functional Analysis.

4- Homological properties of Banach modules.

5- Locally compact quantum group.


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.

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- On character space of the algebra of BSE-functions, Sahand Comminucations in Mathematical Analysis, to appear.

 

Submitted papers:

1- Two types of approximate identities depending on the character space of  Banach algebras.

2- BSE property for some certain Segal and Banach algebras.

3- n-Jordan multipliers.

4- On a question related to  bounded approximate identities of ideals in Banach algebras.

 

In preparation papers and recent works:

1- Recently I read about the locally compact quantum groups.

 

Services for international communities:

 

1- Reviwer for MathSciNet.

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

3- Referee for Complex and Nonlinear Systems.

 

 

You can download and see my complete CV via the following link:

My Complete CV

 

Corrigendum and addendum:

1- Corrigendum to  "On $(\sigma, \tau)$-module extension Banach algebras".

 

 

 

Theses

You can download my M.Sc thesis and Ph.D dissertation in Persian via the following two links:

M.Sc, Generalized Notions of Amenability

Ph.D, Homological and Cohomological Properties of Banach Algebras Based on Characters

 

Weekly Schedule

My Weekly schedule in the second semester of 2017-2018

Fourth Time

Third Time

Second Time

First Time

 

General Topology

General Topology

 

 

Monday

Foundations of Geometry

Foundations of Geometry

 

 

Tuesday

Real Analysis I

Real Analysis I

 

Weekly Session of the Mathematics and Statistics Group

Wednesday

 

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.

Lecture Notes