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 2017In 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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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), 189196.
2 On $(\sigma,\tau)$module extension Banach algebras, J. Linear. Topological. Algebra. Vol. 03, No. 04 (2014), 185194.
3 Generalized injectivity of Banach modules, Sarajevo. J. Math. Vol.11 (24), No.2, (2015), 197204.
4 Hereditary properties of character injectivity with application to semigroup algebras, Ann. Funct. Anal. 6 (2015), No. 2, 162172.
5 On $\Delta$weak $\phi$amenability of Banach algebras, U. P. B. Sci. Bull. Series A. Vol. 77 (4), (2015), 165176.
6 Closed ideals with bounded $\Delta$weak approximate identities in some certain Banach algebras, Miskolc Mathematical Notes, Vol. 17 (2016), No, 1, 413420.
7 nmultipliers and their relations with nhomomorphisms, Vietnam J. Math., (2017) 45: 451457.
8 $\phi$injectivity and character injectivity of Banach modules, U. P. B. Sci. Bull. Series A, Vol. 78, Iss. 3
(2016), 4352.
9 On character space of the algebra of BSEfunctions, 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 nJordan 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:
Corrigendum and addendum:
1 Corrigendum to "On $(\sigma, \tau)$module extension Banach algebras".
Research Projects
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 20172018
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
1 Hilbert Spaces in Functional Analysis (In Persian).