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

Head of the Department of Mathematics- Pure Mathematics
Behrooz_Mashayekhy_Fard
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

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


Concentration areas offered by the Department of Mathematics (Pure Mathematics- Applied Mathematics)
Areas Bachelor's Master's Ph.D
Mathematics and its Applications
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Functional Analysis
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Harmonic Analysis
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Algebraic Topology
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Dynamical Systems
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Graph and Algebraic Combinatorics
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Group Theory
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Numerical Analysis
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Operational Research
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Differential Equations
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Numerical Linear Algebra
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Optimal Control and Optimizations
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Graph Theory
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Mathematical Education
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Academic staff

Hamid Reza Ebrahimi Vishki
Professor
Ahmad Erfanian
Professor
Fateme Helen Ghane Ostadghassemi
Professor
Shirin Hejazian
Professor
Mohammad Janfada
Associate Professor
Seyyed Alireza Kamel Mirmostafaee
Professor
Rajab Ali Kamyabi Gol
Professor
Saeed Kayvanfar
Associate Professor
Kazem Khashyarmanesh
Professor
Behrooz Mashayekhy Fard
Professor
Bibi Hanieh Mirebrahimi Paziquee
Assistant Professor
Madjid Mirzavaziri
Professor
Hamed Najafi
Assistant Professor
Mohsen Parvizi
Assistant Professor
Reihaneh Raisi Tousi
Associate Professor
Mohammad Sal Moslehian
Professor
Hamid Torabi Ardakani
Assistant Professor
Ali Reza Zamani Bahabadi
Associate Professor

Hassan Alamolhodaei
Professor
Sohrab Effati
Professor
Mortaza Gachpazan
Associate Professor
Reza Ghanbari
Associate Professor
Asghar Ghorbani
Assistant Professor
Rasoul Ramezanian
Assistant Professor
Ali Reza Soheili
Professor
Omid Solaymani Fard
Associate Professor
Mostafa Tavakoli
Assistant Professor

Research

Recent journal articles

Shahami, ., & Mashayekhy Fard, B. (2025). Comparison of topologies on fundamental groups with subgroup topology viewpoint. Mathematica Slovaka, 75 (1), 189-204.
Sal Moslehian, M. (2025). Separated pairs of submodules in Hilbert C⁎-modules. Journal of Mathematical Analysis and Applications, 545 (1), 129102-18.
Sal Moslehian, M. (2025). Around strongly operator convex functions. Linear Algebra and its Applications, 704 (), 231-248.
Kamyabi Gol, R. (2025). Some equalities and inequalities in 2-inner product spaces. Acta Universitatis Sapientiae, Mathematica, 16 (1), 190-204.
Erfanian, A. (2025). The Perfect Codes of Non-coprime and Coprime Graphs. Kragujevac Journal of Mathematics, 49 (6), 913-923.
Erfanian, A. (2025). On a bipartite graph defined on groups. Journal of Algebra and its Applications, (), -.
Kayvanfar, S. (2025). An Overview of Baer#039;s Theorem and Its Extensions. International Journal of Group Theory, (), -.
Sal Moslehian, M. (2025). An improvement of Schrödinger's uncertainty relation. physics letters A, 552 (), 130663-130668.
Sal Moslehian, M. (2025). More characterizations of the matrix trace. Rendiconti del Circolo Matematico di Palermo, 74 (4), -.
Sal Moslehian, M. (2025). Characterizations of the canonical trace on full matrix algebras. Journal of Mathematical Analysis and Applications, 552 (2), 129764-129773.
Ahmadi, E., & Janfada, M. (2025). On $p$-Frames by Iterations of Operators: Duality and Perturbation. Real Analysis Exchange, -1 (0), -.
Sal Moslehian, M. (2025). On pairs of projections. Positivity, 29 (4), -.
Hoseinzadeh, E., Mirebrahimi Paziquee, B., Torabi Ardakani, H. (2025). Discrete homotopic distance between Lipschitz maps. Mathematica Scandinavica, 131 (2), -.
Taghavi, Y., Kayvanfar, S., & Parvizi, M. (2025). On generalizations of Baer’s theorem and its converses. Ricerche di Matematica, (), -.
Sal Moslehian, M. (2025). Authors’ right to know the real status of their submissions. European Mathematical Society Magazine, (135), 67-67.
Bonyabadi, P., Khashyarmanesh, K., & Tavakoli, M. (2025). Local Metric Dimension of Some (k, 6)-Fullerenes. Iranian Journal of Mathematical Chemistry, 16 (3), 171-179.
Sal Moslehian, M. (2025). Perspectives on the ρ-operator radius. Journal of Mathematical Analysis and Applications, 555 (1), 130049-130066.
Allami, R., & Janfada, M. (2025). On continuous frames and their duals induced by semigroups of operators. Rendiconti del Circolo Matematico di Palermo, 74 (6), -.
Janfada, M., Shojayi, F. (2025). Generalized Phase Norm) Retrieval Hermitian Matrices and $G$-frames. Sahand Communications in Mathematical Analysis, (), -.
Shojayi, F., Janfada, M. (2025). PHASE RETRIEVAL (DUAL) FRAMES: A NEW APPROACH. UPB Scientific Bulletin, Series A, 87 (3), 19-30.
Sal Moslehian, M. (2025). Characterizations of tracial functionals on matrix and operator algebras. Bulletin of the Belgian Mathematical Society-Simon Stevin, 32 (3), -.
Sal Moslehian, M. (2025). Characterization of Tracial Functionals on von Neumann Algebras. Lobachevskii Journal of Mathematics, 46 (6), 2484-2488.
Sal Moslehian, M. (2025). Characterizations of tracial functionals on C∗-algebras. Infinite Dimensional Analysis, Quantum Probability and Related Topics, (), -.
Alvani, R., Janfada, M. (2025). ON K–FRAMES GENERATED BY OPERATORS ON HILBERT SPACES. Operators and Matrices, 19 (3), 373-391.
Abdollahzade, F., & Najafi, H. (2025). A quadratic operator equation and a non-commutative uncertainty relation. Linear and Multilinear Algebra, 73 (8), 1792-1803.
Sal Moslehian, M. (2025). Revisiting Quantum Chernoff Bound and Perspective Functions. International Journal of Theoretical Physics, 64 (11), -.
Shahini, F., & Erfanian, A. (2025). The Structure of Cayley Graph of Dihedral Groups of Valency 4. Journal of the Indonesian Mathematical Society, 31 (4), 1503-1.
Erfanian, A. (2025). Representation Matrices of Coprime Graph of Generalized Quaternion Group. Journal of the Indonesian Mathematical Society, 31 (3), 1772-22.
Erfanian, A. (2025). Zagreb indices of subgroup generating bipartite graph. Discrete Mathematics, Algorithms and Applications, (), -.

Recent theses and dissertations


Recent research projects


Contact Information

Iran, Mashhad, Azadi Square, Ferdowsi University of Mashhad

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

Phone: +985138805712-6223

Fax: +985138807156