# Department of Mathematics (Pure Mathematics- Applied Mathematics)

This department was founded in 1962. Undergraduate students in mathematics not only learn basic mathematics thoroughly but also gain detailed familiarity with logical, creative, and analytical thinking, and problem-solving skills. The students are expected to utilize mathematical tools and models in analyzing issues related to science, engineering, technology and various sectors of the society such as industry, manufacturing, economic, and social management. The students can take their Bachelor’s degree (B.Sc.) in Mathematics and its applications after four years of study. Since 2010, students have been accepted in Mathematics and its Applications with or without the minor of pure and applied mathematics. Before that date, the students could study Pure or Applied Mathematics at the Department of Mathematics. More

## Pure Mathematics

The Master’s program (Pure Mathematics) was founded in 1985. The aim of the areas of specialization in Pure Mathematics, offered by the Department of Mathematics, is to give students a broader and deeper understanding of the basic concepts underlying mathematics. This understanding enables masters students develop their skills largely in logical, creative and analytical thinking, and problem-solving skills and utilize mathematical tools and models in analyzing issues related to science and engineering compared with their undergraduate counterparts. This program also prepares students to further their education at the Ph.D. level. The Master’s program in the Department of Mathematics concentrates on Functional Analysis, Harmonic Analysis, Algebraic Topology, Dynamical Systems, Group Theory, and Algebraic Combinatorics.

The Ph.D. program (Pure Mathematics) was established in 2009. This program concentrates on Pure Mathematics and aims at educating knowledgeable specialists in their related areas of specialization (i.e., specialization) who can take the position of academic staff at universities and institutions of higher education for teaching at different levels, doing research, and providing specialized services in mathematics nationally and internationally. Before 2005, students were accepted in Analysis, Algebra, and Geometry at the masters’ level .The candidates can select one of the areas of specialization in this program such as Functional Analysis, Harmonic Analysis, Algebraic Topology, Dynamical Systems, Group Theory, and Algebraic Combinatorics. More

 Behrooz Mashayekhy Fard Professor Department of Pure Mathematics bmashf@um.ac.ir +985138806223

## Applied Mathematics

This Master’s program (Applied Mathematics) was Founded in 1994. It aims at broadening and deepening the understanding of the basic concepts underlying mathematics, developing master’s students’ competence in logical, creative, and analytical thinking, problem-solving skills and utilization of the mathematical tools and models in analyzing issues related to science and engineering compared with Bachelor’s students. Masters students in Applied Mathematics learn to model real world problems and utilize applicable software in simulation models to be prepared for pursuing a Ph.D. degree. The areas of specialization in this program are Numerical Analysis, Operations Research, Optimal Control, Optimization, Differential Equations, Graph Theory, and Mathematical Education.

The Ph.D. program (Applied Mathematics) has admitted doctoral candidates since 1994. This program aims at educating knowledgeable specialists in their related areas of specialization who will be able to take the position of academic staff at universities and institutions of higher education in teaching at different levels, doing research, and providing specialized services in mathematics nationally and internationally. This program concentrates on Numerical Analysis, Operations Research, Optimal Control, Optimization, Differential Equations, Graph Theory, and Mathematical Education. More

 Mortaza Gachpazan Associate Professor Department of Mathematics-Applied Mathematics gachpazan@um.ac.ir +985138806224

 Areas Bachelor's Master's Ph.D Mathematics and its Applications - - Functional Analysis - Harmonic Analysis - Algebraic Topology - Dynamical Systems - Graph and Algebraic Combinatorics - Group Theory - Numerical Analysis - Operational Research - Differential Equations - Numerical Linear Algebra - Optimal Control and Optimizations - Graph Theory - Mathematical Education -

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## Research

### Recent journal articles

Talebi, A., Sal Moslehian, M. (2019). Etemadi and Kolmogorov Inequalities in Noncommutative Probability Spaces. Michigan Mathematical Journal, 68 (1), 57-69.
Najafi, H. (2019). A CONVERSE OF THE CHARACTERIZATION OF OPERATOR GEOMETRIC MEANS. Houston Journal of Mathematics, 45 (2), 497-508.
Dastourian, B., & Janfada, M. (2019). K-FRAMES AND UNITARY REPRESENTATIONS. Mathematical Reports, 72 (1), 1-50.
Talebi, A., & Sal Moslehian, M. (2019). Non-commutative Stein inequality and its applications. Communications in Statistics - Theory and Methods, 48 (7), 1611-1620.
Sal Moslehian, M. (2019). ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES. Journal of the Australian Mathematical Society, 106 (2), 160-183.
Talebi, A., & Sal Moslehian, M. (2019). A variance bound for a general function of independent noncommutative random variables. Quaestiones Mathematicae, 42 (3), 307-318.
Kafimousavi, A., Rajabzadeh Moghaddam, M. (2019). Some inequalities for the multiplier of a pair of n-Lie algebras. Asian-European Journal of Mathematics, 12 (2), 1950028-138.
Zaj, M., & Ghane Ostadghassemi, F. (2019). Non Hyperbolic Solenoidal Thick Bony Attractors. Qualitative Theory of Dynamical Systems, 18 (1), 35-55.
Mohareri, M., Mashayekhy Fard, B., & Mirebrahimi Paziquee, B. (2019). ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES. Journal of Algebraic Systems, 6 (2), 131-146.
Mohareri, M., Mashayekhy Fard, B., & Mirebrahimi Paziquee, B. (2019). The capacity of some classes of polyhedra. Hacettepe Journal of Mathematics and Statistics, 49 (3), -.
Driss Bennis, Ebrahimi Vishki, H., Brahim Fahid, Ali Akbar Khadem-maboudi, & Amirhossein Mokhtari (2019). Lie generalized derivations on trivial extension algebras. Bolletino dell Unione Matematica Italiana, 12 (3), 441-452.
Sal Moslehian, M., Ali Zamani, & Pawel Wojcik (2019). APPROXIMATELY ANGLE PRESERVING MAPPINGS. Bulletin of Australian Mathematical Society, 99 (3), 485-496.
Johari, F., Peyman Niroomand, & Parvizi, M. (2019). c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras. Journal of Algebra and its Applications, (), -.
Mortazavizadeh, M., Raisi Tousi, R., & Kamyabi Gol, R. (2019). On a metric on translation invariant spaces. Iranian Journal of Mathematical Sciences and Informatics, 5 (5), 5-5.
Raisi Tousi, R., Kamyabi Gol, R., & Fatemeh Esmaeelzadeh (2019). A continuous frame representation for an abstract shearlet group. Journal of Pseudo-Differential Operators and Applications, 1 (1), 1-10.
Wei Luo, Sal Moslehian, M., & Qingxiang Xu (2019). Halmos\\\' two projections theorem for Hilbert C⁎-module operators and the Friedrichs angle of two closed submodules. Linear Algebra and its Applications, 577 (0), 134-158.
Dadkhah, A., Sal Moslehian, M. (2019). Noncommutative versions of inequalities in quantum information theory. Analysis and Mathematical Physics, (), -.
Mohammad Reza Hassanlee, Rajabzadeh Moghaddam, M., & Mohammad Amin Rostamyari (2019). Non-abelian tensor absolute centre of a group. Journal of Mathematical Extension, 13 (3), 10-18.
Tayyebe Nasri, & Mashayekhy Fard, B. (2019). On shape loop spaces. Topology and its Applications, 261 (1), 29-38.
Khashyarmanesh, K., & Mehrdad Nasernejad (2019). On the minimal path cover sets of union of certain graphs. Quaestiones Mathematicae, (0), 0-0.
Talebi, A., Sal Moslehian, M. (2019). A representation of noncommutative BMO spaces. Statistics and Probability Letters, 153 (), 65-70.
Sal Moslehian, M., Mohsen Kian, & Qingxiang Xu (2019). Positivity of $2\\\\times 2$ block matrices of operators. Banach Journal of Mathematical Analysis, 13 (3), 726-743.
Taghavi, Y., Kayvanfar, S., & Chakaneh, M. (2019). ON THE CONVERSE OF BAER\\\'S THEOREM FOR GENERALIZATIONS OF GROUPS WITH TRIVIAL FRATTINI SUBGROUPS. Algebraic Structures and Their Applications, 6 (1), 141-150.
Safarizadeh, M., & Hejazian, S. (2019). Maps preserving quadratic product between positive cones of JBW-algebras. Linear and Multilinear Algebra, (), -.
Zamani Bahabadi, A. (2019). CRITERION FOR NONEXISTENCE HORSESHOE-LIKE IN C1 TOPOLOGY. Italian Journal of Pure and Applied Mathematics, 41 (41), 290-296.
Almohammed, M., Kamyabi Gol, R., & Janfada, M. (2019). On wavelet multipliers and Landau–Pollak–Slepian operators on locally compact abelian topological groups. Journal of Pseudo-Differential Operators and Applications, 10 (2), 257-267.
Chakaneh, M., Azam Kaheni, & Kayvanfar, S. (2019). On c-capability and n-isoclinic families of a specific class of groups. Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 129 (50), 1-9.
Karimi, S., Effati, S., & Ghane Ostadghassemi, F. (2019). The synchronization of chaotic systems applying the parallel synchronization method. Physics Scripta, (), -.
Fahimian, F., Kamyabi Gol, R., & Fatemeh Esmaeil Zadeh (2019). N-Relatively Invariant and N-Invariant Measure on Double Coset Spaces. Bulletin of the Iranian Mathematical Society, 45 (2), 515-525.
Sal Moslehian, M., Najafi, H., & Mohsen Kian (2019). An Operator Inequality for Bounded Linear Maps Between $$C^*$$ C ∗ -Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 42 (5), 2135-2149.
Mohtashamipour, M., & Zamani Bahabadi, A. (2019). Accessibility on iterated function systems. Georgian Mathematical Journal, 0 (0), -.
Parvizi, M., Johari, F., & Peyman Niroomand (2019). c-capability of Lie algebras with the derived subalgebra of dimension two. Communications in Algebra, (), -.
Ghorbani Poor, S., & Hejazian, S. (2019). JB-algebras of rank zero. Journal of Mathematical Analysis and Applications, (), -.
Ali Zamani, & Sal Moslehian, M. (2019). An extension of orthogonality relations based on norm derivatives. Quarterly Journal of Mathematics, 70 (2), 379-393.
Sal Moslehian, M., & Yuki Seo (2019). Variants of Ando–Hiai inequality for operator power means. Linear and Multilinear Algebra, (), -.
Khosravi, A., & Ebrahimi Vishki, H. (2019). The bidual of a Banach algebra associated with a bilinear map. Bolletino dell Unione Matematica Italiana, 12 (4), 569-574.
Nazarian Sarkooh, J., & Ghane Ostadghassemi, F. (2019). Specification and Thermodynamic Properties of Topological Time-Dependent Dynamical Systems. Qualitative Theory of Dynamical Systems, (), -.
Parham, H., Ghane Ostadghassemi, F., & Reza Ali, E. (2019). Ergodic shadowing of non-autonomous discrete-time dynamical systems. International Journal of Dynamical Systems and Differential Equations, 9 (2), 203-212.
Pashaei, S., Mashayekhy Fard, B., Torabi Ardakani, H., & Abdullahi Rashid, M. (2019). On strong small loop transfer spaces relative to subgroups of fundamental groups. Topology and its Applications, 254 (), 117-131.
Torabi Ardakani, H. (2019). On Weakly (Noncommutatively) Slender Groups. Bulletin of the Iranian Mathematical Society, 45 (6), 1651-1658.
Khosravi, A., Ebrahimi Vishki, H., & Antonio M.peralta (2019). Aron–Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems. Linear Algebra and its Applications, 580 (), 436-463.
Vladimir Manuilov, Sal Moslehian, M., & Qingxiang Xu (2019). Douglas factorization theorem revisited. Proceedings of the American Mathematical Society, (), -.
Tafazzoli, E., & Mirzavaziri, M. (2019). INNER HIGHER DERIVATIONS ON ALGEBRAS. Kragujevac Journal of Mathematics, 43 (2), 267-273.
Ghane Ostadghassemi, F., & Nazarian Sarkooh, J. (2019). On topological entropy and topological pressure of non-autonomous iterated function systems. Journal of the Korean Mathematical Society, 56 (6), 1561-1597.
Janfada, M., & Nezhadali Baghan, A. (2019). HYPERCYCLIC TUPLE C0-SEMIGROUPS OF OPERATORS. UPB Scientific Bulletin, Series A, 81 (1), 103-110.
Almohammed, M., Kamyabi Gol, R., & Janfada, M. (2019). Weyl transforms and the products of two wavelet multiplier operators on locally compact abelian topological groups. Journal of Pseudo-Differential Operators and Applications, 10 (4), 793-804.
Mortazavizadeh, M., & Raisi Tousi, R. (2019). Modulation Preserving Operators on Locally Compact Abelian Groups. Bulletin of the Malaysian Mathematical Sciences Society, (), -.
Mahdipour, S., Niknam, A., & Fashandi, M. (2019). Some Inequalities for Selfadjoint Operators on Quaternionic Hilbert Spaces. Advances in Applied Clifford Algebras, 30 (1), -.
Ehsani, A., & Ghane Ostadghassemi, F. (2019). Iterated Function Systems with the Weak Average Contraction Conditions. Journal of Dynamical Systems and Geometric Theories, 17 (2), 173-185.
Araghirostami, Z., Parvizi, M., & Peyman Niroomand (2019). Bogomolov multiplier and the Lazard correspondence. Communications in Algebra, (), -.
M. Ghaderi Aghideh, Sal Moslehian, M., & Jamal Rooin (2019). Sharp Inequalities for the Numerical Radii of Block Operator Matrices. Analysis Mathematica, 45 (4), 687-703.
Ali Zamani, Sal Moslehian, M., Mao-ting Chien, & Hiroshi Nakazato (2019). Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators. Linear and Multilinear Algebra, 67 (11), 2147-2158.
Rasoul Eskandari, Michael Frank, Vladimir M. Manuilov, & Sal Moslehian, M. (2019). Extensions of the Lax–Milgram theorem to Hilbert $$C^*$$C∗-modules. Positivity, (), -.
Jamal Rooin, Setareh Rajabi, & Sal Moslehian, M. (2019). p-angular distance orthogonality. Aequationes Mathematicae, (), -.
Mohammadpour, M., & Kamyabi Gol, R. (2019). THE CORRESPONDENCE OF FUSION FRAMES AND FRAMES IN AHILBERTC∗-MODULE: COUNSTRUCTION AND APPLICATION INMODULAR FUSION FRAMES. UPB Scientific Bulletin, Series A, 81 (3), 67-76.
Ali Pakdaman, Torabi Ardakani, H., & Mashayekhy Fard, B. (2019). Category of $H$-groups. Caspian Journal of Mathematical Sciences, (), -.
Torabi Ardakani, H., & Abdullahi Rashid, M. (2019). On category of co-coverings. Caspian Journal of Mathematical Sciences, 8 (2), 84-90.
Abdullahi Rashid, M., Jamali, N., Mashayekhy Fard, B., Pashaei, S., & Torabi Ardakani, H. (2019). On Subgroup Topologies on Fundamental Groups. Hacettepe Journal of Mathematics and Statistics, (), -.

### Recent theses and dissertations

Hossinimoghaddam, F. (2019). Continuity and quasi-continuity of separately quasi-continuous functions. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mohamadzadeh, R. (2019). Graphs associated with matrices over finite fields and their endomorphisms. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Karimi, S. (2019). Chaotic attractors, synchronization and their applications. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mirali, M. (2019). Entropy and r-entropy for IFS. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Behdani, K. (2019). Bessel Generator Multiplierse for Unitary Systems. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Yari, B. (2019). some properties of cayley graphs. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Khademi, H. (2019). REPRODUCING FORMULAS FOR GENERALIZED TRANSLATION INVARIANT SYSTEMS ON LOCALLY COMPAT ABELIAN GROUPS. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Entezari, M. (2019). Skew products with interval fiber maps having negative Schwarzian derivatives. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ghaemi, M. (2019). Reproducing Kernel Hilbert C*-Modules. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Naseri, M. (2019). OPERATOR-VALUED FRAMES. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rajabzade, E. (2019). Trace inequalities of Lipschitz type for power series of operators on Hilbert spaces. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ghajari Enjehbron, A. (2019). Codes over some finite rings and their Lee weight. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Jokar, G. (2019). Baire spaces and their invariance under mappings. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hooshyar Hosseini, S. (2019). The second dual of amalgamated Banach algebras. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rahnamasiyahdasht, M. (2019). The Block Numerical Range of a Block Operator Matrices. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Zarei, S. (2019). A Study on Topological Data Analysis. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mortazavizadeh, M. (2019). On some invariant spaces and operators on LCA groups. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Haji Ghasemi Azghandi, S. (2019). Maps preserving spectral quantities. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mohammadl, S. (2019). Saddle-node bifurcations of nonautonomous dynamical systems. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Nosratibiabnaki, A. (2019). Z_2 Z_2 u-cyclic and constancy cyclic codes. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Nakhaeipour, J. (2019). Edge metric dimension of graphs. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rezaie, A. (2019). On the Cayley graphs. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hafezi Ghahestani, T. (2019). Maps preserving commutants. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

### Recent research projects

Sal Moslehian, Mohammad (2019). Representation of noncommutative BMO spaces
Sal Moslehian, Mohammad, (2019). Variants of Ando-Hiai inequality for operator power means
Janfada, Mohammad,kamyabi Gol, Rajab Ali,azarmi, Hamide (2019). On K- pseudoframes for subspaces
,sal Moslehian, Mohammad (2019). A Generaliziation of Douglas factorization theorem
Kamyabi Gol, Rajab Ali,mohammadian, Narges (2019). Multiresolution Analysis from a Riesz familly of shifts of a refinable function in
Kamel Mirmostafaee, Seyyed Alireza,hosseini, Boshra (2019). Common fixed points of a set-valued sequence of functions in generalized metric spaces
Sal Moslehian, Mohammad (2019). Operator inequalities in noncommutative probability spaces