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

Nezhadali Baghan, A., & Janfada, M. (2021). On J-class $C_0$-semigroups of operators. International Journal of Nonlinear Analysis and Applications, 12 (1), 397-403.
Ziyaaddini, M., & Erfanian, A. (2021). Relative Non-normal graphs of a subgroup of fnite groups. Iranian Journal of Mathematical Sciences and Informatics, 16 (1), 181-189.
Hosseini, B., & Kamel Mirmostafaee, S. (2021). Implicit contractions for a sequence of multi-valued mappings. Fixed Point Theory, 22 (1), 205-218.
Sal Moslehian, M. (2021). Numerical Radius Inequalities Concerning with Algebra Norms. Mediterranean Journal of Mathematics, 18 (2), -.
Faryad, E., Sal Moslehian, M., & Zamani, A. (2021). Roberts numerical radius orthogonality. Linear and Multilinear Algebra, (), -.
Sajady Rad, O., Kamyabi Gol, R., & Fatemeh Esmaeelzadeh (2021). On the relations of general homogeneous spaces and the two-wavelet localization operators. Journal of Pseudo-Differential Operators and Applications, 12 (2), -.
Razghandy, A., & Raisi Tousi, R. (2021). Using tensor product dual frames for phase retrieval problems. Journal of Pseudo-Differential Operators and Applications, 12 (2), -.
Alizadeh Moghaddam, N., & Janfada, M. (2021). Frame-cyclic operators and their properties. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 24 (1), 2150009-2150009-12.
Sadeghi, G., Sal Moslehian, M., & Talebi, A. (2021). Maximal inequalities in noncommutative probability spaces. Stochastics-An International Journal of Probability and Stochastic Processes, 0 (0), 1-14.
Michael Frank, Sal Moslehian, M., & Ali Zamani (2021). Orthogonality preserving property for pairs of operators on Hilbert $$C^*$$-modules. Aequationes Mathematicae, 95 (5), 867-887.
Tayyebe Nasri, Mashayekhy Fard, B., & Mirebrahimi Paziquee, B. (2021). Adjointness of Suspension and Shape Path Functors. Mathematics Interdisciplinary Research, 6 (1), 23-33.
Naal, B., & Khashyarmanesh, K. (2021). Some Finiteness Results for Local Cohomology Modules with Respect to a Pair of Ideals. Mathematical Notes, 109 (3), 335-346.
Kamel Mirmostafaee, S., & Omid Pourbahri Rahpeyma (2021). A remark on weak module-amenability in Banach algebras. Honam Mathematical Journal, 1 (2), 209-219.
Mortazavizadeh, M., & Raisi Tousi, R. (2021). MODULATION INVARIANT SPACES ON LOCALLY COMPACT ABELIAN GROUPS. Khayyam Journal of Mathematics, 1 (1), 1-1.
Seyedi, N., & Kamyabi Gol, R. (2021). On the Frames of Translates on Locally Compact Abelian Groups. Bulletin of the Iranian Mathematical Society, (), -.
Mohammadpour, M., & Kamyabi Gol, R. (2021). The correspondence of Fusion frames and frames In Hilbert C∗ -modules and finite Gabor Fusion frames. Khayyam Journal of Mathematics, 7 (2), 187-200.
J. Rooin, S. Habibzadeh, & Sal Moslehian, M. (2021). Singer-Type Orthogonalities. Results in Mathematics, 76 (4), -.
Jamal Rooin, Setareh Rajabi, & Sal Moslehian, M. (2021). Extensions of p-angular distance inequalities in normed spaces. Ricerche di Matematica, (), -.
R. Eskandari, Michael Frank, Vladimir Manuilov, & Sal Moslehian, M. (2021). B-spline interpolation problem in Hilbert C*-modules. Journal of Operator Theory, 86 (2), 275-298.
Sal Moslehian, M., Takashi Sano, & Kota Sugawara (2021). The arithmetic-geometric mean inequality of indefinite type. Archiv der Mathematik, 117 (3), 347-359.
Jagjit Singh Matharu, Chitra Malhotra, & Sal Moslehian, M. (2021). Indefinite matrix inequalities via matrix means. Bulletin des Sciences Mathematiques, 171 (), 103036-103036.
Mohsen Kian, & Sal Moslehian, M. (2021). Matrix inequalities related to power means of probability measures. Linear and Multilinear Algebra, (), -.
Sal Moslehian, M., & Dan Popovici (2021). Operator equalities and Characterizations of Orthogonality in Pre-Hilbert C*-Modules. Proceedings of the Edinburgh Mathematical Society, 64 (3), 594-614.
Taghavi, Y., Kayvanfar, S., & Parvizi, M. (2021). On Baer’s Theorem and Its Generalizations. Mediterranean Journal of Mathematics, 18 (6), -.
Seyyed Mohammad Tabatabaie, Kamyabi Gol, R., & Soheila Jokar (2021). Existence of the Relatively Compact Fundamental Domain for Hypergroups. Thai Journal of Mathematics, 19 (2), 551-556.
Seyyed Mohammad Tabatabaie, Kazaros Kazarian, Kamyabi Gol, R., & Soheila Jokar (2021). The Structure of Finitely Generated Shift-Invariant Subspaces on Locally Compact Abelian Groups. Mediterranean Journal of Mathematics, 18 (1), -.
Mohammed Abdulah, & Kamyabi Gol, R. (2021). On wavelet multiplier and Landau–Pollak–Slepian operators on $$L^{2}(G,{\mathbb {H}})$$. Journal of Pseudo-Differential Operators and Applications, 13 (1), -.
Sal Moslehian, M. (2021). Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules. Complex Analysis and Operator Theory, 16 (1), -.
Elham Tafazoli, & Mirzavaziri, M. (2021). HIGHER CODERIVATIONS ON COALGEBRAS AND CHARACTERIZATION. Kragujevac Journal of Mathematics, 49 (1), 7-16.
Esmaeeli, F., Erfanian, A., & Mirzavaziri, M. (2021). Vector weighted Stirling numbers and an application in graph theory. Electronic Journal of Graph Theory and Applications, 9 (1), 223-234.
Oshagh, M., Ghane Ostadghassemi, F., & Zaj, M. (2021). The occurrence of locally riddled basins and on-off intermittency in a parametric nonlinear system. Chaos, Solitons and Fractals, 153 (2), 111572-111582.
Alinejad, M., Khashyarmanesh, K., & Mojgan Afkhami (2021). Distance between the spectra of certain graphs. Indian Journal of Pure and Applied Mathematics, 52 (2), 548-557.
Ibrahim Al-ayyoub, Khashyarmanesh, K., Leslie G. Roberts, & Veronica Crispin Quinonez (2021). Results on the normality of square-free monomial ideals and cover ideals under some graph operations. Mathematica Scandinavica, 127 (3), -.
Tayyebeh Amouzegar, & Khashyarmanesh, K. (2021). Equitable distinguishing chromatic number. Indian Journal of Pure and Applied Mathematics, 53 (2), 304-315.
Khashyarmanesh, K., & Jonathan Toledo (2021). Symbolic strong persistence property under monomial operations and strong persistence property of cover ideals. Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 112 (2), 105-131.
Torabi Ardakani, H., & Pourhaghani, A. (2021). On geometric space and its applications in topological Hv-groups. Filomat, 35 (3), 855-870.
Torabi Ardakani, H. (2021). On first countable quasitopological homotopy groups. Mathematica Slovaka, 71 (3), 773-779.
Rama Amiri, M Zarebnia, & Raisi Tousi, R. (2021). A Numerical Formulation for N -Dimensional Wave Equations Using Shearlets. Control and Optimization in Applied Mathematics, 5 (2), 11-24.
Saba Al-kaseasbeh, & Erfanian, A. (2021). A bipartite graph associated to elements and cosets of subgroups of a finite group. AIMS Mathematics, 6 (10), 10395-10404.
Saba Al-kaseasbeh, & Erfanian, A. (2021). The structure of Cayley graphs of dihedral groups of Valencies 1, 2 and 3. Proyecciones, 40 (6), 1683-1691.
Nor Haniza Sarmin, Amira Fadina Ahmad Fadzil, & Erfanian, A. (2021). Seidel energy for Cayley graphs associated to dihedral group. Journal of Physics Conference Series, 1988 (1), 012066-012078.
Aghel, M., Erfanian, A., & Tayebeh Dehghan-zadeh (2021). Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs. Iranian Journal of Mathematical Chemistry, 12 (2), 79-88.
Nabilah Najmuddin, Nor Haniza Sarmin, & Erfanian, A. (2021). Independence polynomial of the commuting and noncommuting graphs associated to the quasidihedral group. Journal of Physics Conference Series, 1988 (1), 012072-012081.
Raymond Mortini, Sal Moslehian, M., Szilard Gy, & Yuri Tomilov (2021). A report of serious and multiple ethical misconducts. Mitteilungen der Deutschen Mathematiker-Vereinigung, 29 (3), 163-164.
Sal Moslehian, M. (2021). Impact factor, an inadequate yardstick. European Mathematical Society Magazine, (120), 40-42.
Talebi, A., & Sal Moslehian, M. (2021). نگاهی به فضا‌های احتمال ناجابجایی. , 39 (67), 93-106.
Lubica Hola, & Kamel Mirmostafaee, S. (2021). Points of openness of some mappings. Filomat, 35 (15), 5209-5214.
Ghorbani Moghaddam, F., Zamani Bahabadi, A., & Honari, B. (2021). On impulsive semidynamical systems: Relation between topological entropy and various types of expansivity. Asian-European Journal of Mathematics, 15 (6), -.
Effati, M., Zamani Bahabadi, A., & Honari, B. (2021). SOME REMARKS ON CHAOS IN NONAUTONOMOUS DYNAMICAL SYSTEMS. Khayyam Journal of Mathematics, 7 (1), 115-130.

Recent theses and dissertations

Imani, E. (2021). About characterization for k- self-centered graphs. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Kazemimoghaddam, Z. (2021). Discrete Topological Complexity. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Gholami, M. (2021). Hypercyclic Algebras. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Shahini, F. (2021). On the Cayley graphs associated to an endomorphism and related topics. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Ghazi, M. (2021). Two kinds of rainbow coloring connection numbers in some graphs. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hoseinzadeh, R. (2021). Multiple attractors and long transients in spatially structured populations with an Allee effect. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Azizi, F. (2021). Extraction of Digital Wavefront Sets Using Applied Harmonic Analysis and Deep Neural Networks. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Akhlaghi, E. (2021). The signless Laplacian spectral radius of graphs with no intersecting triangles. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hassan Zadeh, H. (2021). On discrete homology groups of metric spaces. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Abedi, S. (2021). Power norms in Hilbert C*-modules. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Javdani, M. (2021). some graphs associated to stabilizers oh subgroups of a finite group. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Robatjazi, A. (2021). on some upper bounds for the order of the Schur multiplier of finite p-groups.. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rashidi, M. (2021). Maps behaving like derivations or anti-derivations. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Korivand, M. (2021). Special kinds of colorings and metric dimensions of graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Neamah, S. (2021). Generalized Cayley graph over column matrices and related topics. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Pourhaghani, A. (2021). On geometric spaces and its applications. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rastgar, Z. (2021). ON THE COMAXIMAL GRAPHS AND GRAPH COLORINGS. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Voosooghmand, S. (2021). Bifurcation Analysis and Synchronization in the HindmarshRose neuron model. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Rahvareh, F. (2021). On The New Segal Algebra. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Hussainzada, R. (2021). A Study on Topological Neuroscience with Emphasis on Neural Codes. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.
Tohidiyan, Z. (2021). 2_self center graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Recent research projects

Sal Moslehian, Mohammad (2021). Orthogonality preserving property for pairs of operators on Hilbert C*-modules
Sal Moslehian, Mohammad (2021). Vector-valued reproducing kernel Hilbert modules
Sal Moslehian, Mohammad (2021). Freedman inequality in noncommutative quantum spaces
Mirebrahimi Paziquee, Bibi Hanieh,mashayekhy Fard, Behrooz,torabi Ardakani, Hamid, (2021). ON QUASI SMALL LOOP GROUPS
Sal Moslehian, Mohammad,,, (2021). Similarities and differences between real and complex Banach spaces
Kamel Mirmostafaee, Seyyed Alireza (2021). Joint continuity and quasi-continuity of two-variable functions

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