# 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

Mehdi Fatehinia, & Zamani Bahabadi, A. (2022). CHAOS AND SHADOWING IN GENERAL SYSTEMS. Kragujevac Journal of Mathematics, 46 (3), 383-394.
Fakhri Moghadam, S., & Kamel Mirmostafaee, S. (2022). Numerical radius inequalities for Hilbert $C^*$-modules. Mathematica Bohemica, 147 (4), 547-566.
Ghaemi, M., Vladimir Manuilov, & Sal Moslehian, M. (2022). Left multipliers of reproducing kernel Hilbert C⁎-modules and the Papadakis theorem. Journal of Mathematical Analysis and Applications, 505 (1), 125471-125471.
Lubica Hola, & Kamel Mirmostafaee, S. (2022). Joint continuity of separately continuous mappings. Topology and its Applications, 307 (), 107881-107791.
Fahimeh Sultanzadeh, Mahmoud Hassani, Mohsen Erfanian Omidvar, & Kamyabi Gol, R. (2022). Refining some Inequalities for Frames with Specht\'s Ratio. Kragujevac Journal of Mathematics, 46 (1), 39-47.
Fahimeh Sultanzadeh, Mahmood Hassani, Mohsen Erfanian Omidvar, & Kamyabi Gol, R. (2022). Sharpening lower bound in some inequalities for Frames in Hilbert spaces. Korean Journal of Mathematics, 29 (4), 725-732.
Babaee, A., Mashayekhy Fard, B., Mirebrahimi Paziquee, B., & Torabi Ardakani, H. (2022). On Hawaiian groups of the infinite dimensional Hawaiian earring. Topology and its Applications, 306 (1), 107920-11.
Chakaneh, M., Johari, F., Kayvanfar, S., & Azam Kaheni (2022). An upper bound for the index of the center in capable groups with finite cyclic derived subgroups. Quaestiones Mathematicae, 45 (6), 875-888.
Rabiee Farahani, M., Ghane Ostadghassemi, F., Zaj, M., & Karimi, S. (2022). The occurrence of riddled basins and blowout bifurcations in a parametric nonlinear system. Physica D: Nonlinear Phenomena, 435 (1), 133291-133304.
Mojgan Afkhami, Khashyarmanesh, K., & Tavakoli, M. (2022). l-Clique Metric Dimension of Graphs. Bulletin of the Malaysian Mathematical Sciences Society, 45 (6), 2865-2883.
Tavakoli, M. (2022). Another Approach to a Conjecture about the Exponential Reduced Sombor Index of Molecular Trees. Iranian Journal of Mathematical Chemistry, 13 (2), 99-108.
Lubica Hola, & Kamel Mirmostafaee, S. (2022). On continuity of set-valued mappings. Topology and its Applications, 320 (), 108200-.
Mashayekhy Fard, B., Mirebrahimi Paziquee, B., Torabi Ardakani, H., & Babaee, A. (2022). On quasi-small loop groups. Mathematica Slovaka, 72 (4), 1017-1030.
Roohi, F., Kamyabi Gol, R., & Fatemeh Esmaeelzadeh (2022). $$\phi (L)$$-Factorable Operators on $$L^{P}(G)$$ for a Locally Compact Abelian Group. Bulletin of the Iranian Mathematical Society, 48 (2), 673-691.
Korivand, M., Khashyarmanesh, K., & Tavakoli, M. (2022). Metric Dimension Threshold of Graphs. Journal of Mathematics, 2022 (1), 1-6.
Farshchian, R., & Kamyabi Gol, R. (2022). Matrix methods for perfect signal recovery underlying range space of operators. Mathematical Methods in the Applied Sciences, (), -.
Sal Moslehian, M., Marat Pliev, & Ghadir Sadeghi (2022). Band projections and decomposition of normal traces on von Neumann algebras. Positivity, 26 (4), -.
Dadkhah, A., Sal Moslehian, M., & Mohsen Kian (2022). Continuity of positive nonlinear maps between $C^*$-algebras. Studia Mathematica, 263 (3), 241-266.
Rupinderjit Kaur Dhanoa, Sal Moslehian, M., & Mandeep Singh (2022). A generalized Wigner–Yanase skew information. Linear and Multilinear Algebra, (), -.
Sal Moslehian, M., & Sadeghi, G. (2022). Mixing sequences, and mixingales in quantum probability spaces. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas, 116 (2), -.
Sadeghi, G., & Sal Moslehian, M. (2022). Freedman Inequality in Noncommutative Probability Spaces. Complex Analysis and Operator Theory, 16 (2), -.
Sal Moslehian, M., G. A. Munoz-fernandez, A. M. Peralta, & J. B. Seoane (2022). Similarities and differences between real and complex Banach spaces: an overview and recent developments. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas, 116 (2), -.
P. E. Enflo, Sal Moslehian, M., & J B Seoane-sepulveda (2022). A history of solving some famous problems in mathematical analysis. British Journal for the History of Mathematics, 37 (1), 64-80.
Abedi, S., & Sal Moslehian, M. (2022). Power-norms based on Hilbert $$C^*$$-modules. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas, 117 (1), -.
Pourhaghani, A., & Torabi Ardakani, H. (2022). On exactness and homology of hyperchain complexes. Quaestiones Mathematicae, (), -.
Rabiee Farahani, M., Ghane Ostadghassemi, F., & Zaj, M. (2022). An Open Set of Skew Products with Invariant Multi-graphs and Bony Multi-graphs. Qualitative Theory of Dynamical Systems, 21 (4), -.
Ghajari Enjehbron, A., Khashyarmanesh, K., & Rajabi, Z. (2022). 1-generator two-dimensional quasi-cyclic codes over $\mathbb{Z}_4[u]/\langle u^2-1\rangle$. Journal of Algebra Combinatorics Discrete Structures and Applications, (), -.
Lakzian, H., Ebrahimi Vishki, H., & Sedighe Barootkoob (2022). The first cohomology group and weak amenability of a Morita context Banach algebra. Bolletino dell Unione Matematica Italiana, 15 (4), 541-560.
Mohd Tirmizi Mohd Lutfi, Ummu Atiqah Mohd Roslan, Ghane Ostadghassemi, F., & Ahmad Fadillah Embong (2022). Characterization of Basin of Attraction for An Attractor in A Discrete Prey-Predator Sea Turtle-Human Interaction Model using Stability Index Approach. Malaysian Journal of Fundamental and Applied Sciences, 18 (4), 511-520.
Rashid, A., & Zamani Bahabadi, A. (2022). UNIFORM HYPERBOLICITY FOR RANDOM DYNAMICAL SYSTEMS. Kobe journal of mathematics, 39 (1), 1-13.
Fakhri Moghadam, S., Kamel Mirmostafaee, S., & Janfada, M. (2022). Some Sharp Estimations for Davis–Wielandt Radius in B(H). Mediterranean Journal of Mathematics, 19 (6), -.
Hejazian, S., & Safarizadeh, M. (2022). Bijections on the Unit Ball of B(H) Preserving ^{\ast}-Jordan Triple Product. Sahand Communications in Mathematical Analysis, (), -.
Abedi, S., & Sal Moslehian, M. (2022). Extensions of the Hilbert-multi-norm in Hilbert $$C^*$$-modules. Positivity, 27 (1), -.
Sal Moslehian, M. (2022). Operators taking values in Lebesgue-Bochner spaces. Proceedings of the American Mathematical Society, (), -.
Sal Moslehian, M. (2022). Improved inequalities for operator space numerical radius. Mathematical Reports, 24 (3), 553-569.

### Recent theses and dissertations

Seifi, F. (2022). Invariance of some topological properties under certain mappings. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mahmoodi, Z. (2022). Density in inner amenable semigroups. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hoseini, S. (2022). Numerical radius product of operators. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Sadri, F. (2022). frame properties of operator orbits. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Zanganeh, F. (2022). Combined interpretation of classical sequences in graphs. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rahmani, H. (2022). MoorePenrose inverse in rings with involution. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ferdowsi, A. (2022). Approximate orthogonality in normed spaces. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Javdani, M. (2022). Cordial labling of graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Khalil, M. (2022). Dominated Coloring of Graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Akbari, R. (2022). On the Complement of Intersection Graph of Finite Groups. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Irani, S. (2022). the endomorphism spectrum of some graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rahimi, F. (2022). Some Results on the Common-Neighborhood Energy of A Graph. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Aghili, S. (2022). On Targeted complexity of maps. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Torabi, A. (2022). Analysis of a nonlinear age-structured tumor cell population model. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Beheshtian, M. (2022). Seminorm and numerical radius inequalities of operators in Semi-Hilbertian spaces. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ali, S. (2022). Numerical Radius Concerning with Various Norms. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Huty Shandiz, M. (2022). Orthogonally additive polynomials on certain class of Banach algebras. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Zare Mehrjerdi, M. (2022). On the unitary Cayley graph of matrix rings. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Bayat, A. (2022). K-g-fusion frames and continuous K-g-frames in Hilbert spaces. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Mirzaei, E. (2022). Modeling vaccination rollouts, SARS-CoV-2 variants and the requirement for non-pharmaceutical interventions in Italy. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Aljanabi, D. (2022). Oblique dual fusion frame. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ahmadi, E. (2022). Frames generated by operator actions in Banach spaces. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Alvani, R. (2022). On frames generated by operator on Hilbert spaces. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Poryousefi, F. (2022). SPECIAL COLORINGS IN SOME GRAPHS AND PRODUCTS OF GRAPHS. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Allami, R. (2022). continuous frames generated by Semi-groups of operators. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Salehi Yekta, M. (2022). Study and Control of Hopf Bifurcation Analytically for Map-Based Biological Models. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Sabbaghian, Z. (2022). Equivalence relations and distances between generalized frames. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Noghani Dokht Bahmani, E. (2022). Maps Preserving Nilpotent Operators. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Attarian, M. (2022). Injective coloring of some graph operations. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

### Recent research projects

Kamel Mirmostafaee, Seyyed Alireza (2022). Continuity of multivaled mappings

## Contact Information

Faculty of Mathematical Sciences, Department of Mathematics (Pure Mathematics- Applied Mathematics)

Phone: +985138805712-6223

Fax: +985138807156