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
	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
	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		-	-
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	-

Academic staff

Hamid Reza Ebrahimi Vishki

Professor

Email:

Homepage: http://vishki.profcms.um.ac.ir

Ahmad Erfanian

Professor

Email:

Homepage: http://erfanian.profcms.um.ac.ir

Fateme Helen Ghane Ostadghassemi

Professor

Email:

Homepage: http://htina.profcms.um.ac.ir

Shirin Hejazian

Professor

Email:

Homepage: http://hejazian.profcms.um.ac.ir

Mohammad Janfada

Associate Professor

Email:

Homepage: http://janfada.profcms.um.ac.ir

Seyyed Alireza Kamel Mirmostafaee

Professor

Email:

Homepage: http://mirmostafaei.profcms.um.ac.ir

Rajab Ali Kamyabi Gol

Professor

Email:

Homepage: http://kamyabi.profcms.um.ac.ir

Saeed Kayvanfar

Associate Professor

Email:

Homepage: http://skayvanf.profcms.um.ac.ir

Kazem Khashyarmanesh

Professor

Email:

Homepage: http://khashayar.profcms.um.ac.ir

Behrooz Mashayekhy Fard

Professor

Email:

Homepage: http://bmashf.profcms.um.ac.ir

Bibi Hanieh Mirebrahimi Paziquee

Assistant Professor

Email:

Homepage: http://h_mirebrahimi.profcms.um.ac.ir

Madjid Mirzavaziri

Professor

Email:

Homepage: http://mirzavaziri.profcms.um.ac.ir

Hamed Najafi

Assistant Professor

Email:

Homepage: http://h.najafi.profcms.um.ac.ir

Mohsen Parvizi

Assistant Professor

Email:

Homepage: http://parvizi.profcms.um.ac.ir

Reihaneh Raisi Tousi

Associate Professor

Email:

Homepage: http://raisi.profcms.um.ac.ir

Mohammad Sal Moslehian

Professor

Email:

Homepage: http://moslehian.profcms.um.ac.ir

Hamid Torabi Ardakani

Assistant Professor

Email:

Homepage: http://h.torabi.profcms.um.ac.ir

Ali Reza Zamani Bahabadi

Associate Professor

Email:

Homepage: http://zamany.profcms.um.ac.ir

Hassan Alamolhodaei

Professor

Email:

Homepage: http://alam.profcms.um.ac.ir

Sohrab Effati

Professor

Email:

Homepage: http://s-effati.profcms.um.ac.ir

Mortaza Gachpazan

Associate Professor

Email:

Homepage: http://gachpazan.profcms.um.ac.ir

Reza Ghanbari

Associate Professor

Email:

Homepage: http://rghanbari.profcms.um.ac.ir

Asghar Ghorbani

Assistant Professor

Email:

Homepage: http://aghorbani.profcms.um.ac.ir

Rasoul Ramezanian

Assistant Professor

Email:

Homepage: http://rramezanian.profcms.um.ac.ir

Ali Reza Soheili

Professor

Email:

Homepage: http://soheili.profcms.um.ac.ir

Omid Solaymani Fard

Associate Professor

Email:

Homepage: http://soleimani.profcms.um.ac.ir

Mostafa Tavakoli

Assistant Professor

Email:

Homepage: http://m_tavakoli.profcms.um.ac.ir

Research

Recent journal articles

Najafi, H. (2023). An extension of the van Hemmen–Ando norm inequality. Glasgow Mathematical Journal, 65 (1), 121-127.

Delfan, A., & Kamel Mirmostafaee, S. (2023). Some results on Baireness in generalized topological spaces. Mathematica, 65 (88) (2), 242-248.

Sandi Klavzar, Tavakoli, M., Mardjan Hakimi-nezhaad, & Rahbarnia, F. (2023). Leap eccentric connectivity index in graphs with universal vertices. Applied Mathematics and Computation, 436 (), 127519-127526.

Fakhri Moghaddam, S., Kamel Mirmostafaee, S., & Janfada, M. (2023). q-Numerical radius inequalities for Hilbert space. Linear and Multilinear Algebra, 72 (5), 751-763.

Faal, R., & Hejazian, S. (2023). Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal. Journal of Mathematical Analysis and Applications, 523 (2), 127031-15.

Sal Moslehian, M. (2023). Pedersen–Takesaki operator equation and operator equation AX = B in Hilbert C⁎-modules. Journal of Mathematical Analysis and Applications, 521 (1), 126878-126892.

Faryad, E., Sal Moslehian, M. (2023). A generalization of the Roberts orthogonality: from normed linear spaces to $$C^*$$-algebras. Monatshefte fur Mathematik, 200 (3), 605-625.

Tavakoli, M. (2023). On mixed metric dimension in subdivision, middle, and total graphs. Quaestiones Mathematicae, 46 (12), 2517-2527.

Tavakoli, M. (2023). Irregularity Measure of Graphs. Journal of Mathematics, 2023 (1), 1-5.

Ghane Ostadghassemi, F. (2023). Global analysis and prediction scenario of infectious outbreaks by recurrent dynamic model and machine learning models: A case study on COVID-19. Computers in Biology and Medicine, 158 (), 106817-106842.

Zamani Bahabadi, A. (2023). Non-stationary dynamical systems; Shadowing theorem and some applications. Filomat, 37 (18), 6243-6251.

Hajiaghajanpour, N., & Khashyarmanesh, K. (2023). Two dimensional double cyclic codes over finite fields. Applicable Algebra in Engineering, Communication and Computing, (), -.

Tavakoli, M., Korivand, M., Erfanian, A., Abrishamimoghadam, G., & Edy Tri Baskoro (2023). The dominant edge metric dimension of graphs. Electronic Journal of Graph Theory and Applications, 11 (1), 197-208.

Ibrahim Al-ayyoub, Khashyarmanesh, K., & Leslie G. Roberts (2023). On the strong persistence property and normality of cover ideals of theta graphs. Communications in Algebra, 51 (9), 3782-3791.

Hajighasemi Azghandi, S., & Hejazian, S. (2023). Surjective maps preserving the reduced minimum modulus of products. Cubo, 25 (1), 139-150.

Sandi Klavzar, & Tavakoli, M. (2023). Graphs whose mixed metric dimension is equal to their order. Computational and Applied Mathematics, 42 (5), -.

Bonyabadi, P., Khashyarmanesh, K., Tavakoli, M., & Mojgan Afkhami (2023). ‎‎Edge Metric Dimension of Fullerenes. Iranian Journal of Mathematical Chemistry, 14 (1), 47-54.

Ghane Ostadghassemi, F., Rabiee Farahani, M., & Zaj, M. (2023). INVARIANT GRAPH AND RANDOM BONY ATTRACTORS. Journal of the Korean Mathematical Society, 60 (2), 255-271.

Neamah, S., & Erfanian, A. (2023). Some Results on the Generalized Cayley Graph of Complete Graphs. Iraqi Journal of Science, (), -.

Salehi Yekta, M., Zamani Bahabadi, A. (2023). An Analytic Investigation of Hopf Bifurcation Location Control for the Rulkov Map Model. International Journal of Bifurcation and Chaos, 33 (12), -.

Kamyabi Gol, R. (2023). Characterization of (Weak) Phase Retrieval Dual Frames. Complex Analysis and Operator Theory, 17 (8), -.

Sal Moslehian, M. (2023). Improved Inequalities for Numerical Radius via Cartesian Decomposition. Functional Analysis and Its Applications, 57 (1), 18-28.

Pourhaghani, A., & Torabi Ardakani, H. (2023). A (Discrete) Homotopy Theory for Geometric Spaces. Journal of Mathematics, 2023 (), 1-19.

Korivand, M., Khashyarmanesh, K., & Tavakoli, M. (2023). Mixed metric dimension over (edge) corona products. AKCE International Journal of Graphs and Combinatorics, 21 (2), 129-134.

Parvizi, M. (2023). Bogomolov Multiplier and Isoclinism of Lie Rings. Mathematics Interdisciplinary Research, 8 (4), 327-335.

Aghili, S., Mirebrahimi Paziquee, B. (2023). On the targeted complexity of a map. Hacettepe Journal of Mathematics and Statistics, 52 (3), 572-584.

Mahtabi, M., Erfanian, A. (2023). A bipartite graph associated to a finite group. Asian-European Journal of Mathematics, 16 (10), -.

Kamyabi Gol, R. (2023). Identifying continuous Gabor frames on locally compact Abelian groups. Filomat, 37 (18), 6011-6020.

Parvizi, M. (2023). Classification of $p$-groups via their $2$-nilpotent multipliers. Mathematical Journal of the University of Padova, 150 (), 127-136.

Recent theses and dissertations

Shojayi, F. (2023). Frames and phase retrieval families. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Yadegari, M. (2023). Iterated Function Systems on uniform spaces. , ( Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Aliannezhadi, E. (2023). Numerical range in C*-algebras. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Sadeghinezhad, M. (2023). Multivariate Functions and Operator Inequalities. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Nakhaeipour, J. (2023). Study of some metric dimensions of special kinds of graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Zadnia, E. (2023). The influence of time delay in a chaotic cancer model. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Mohammadzade, M. (2023). a nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Al Sudani, A. (2023). The independence polynomial of some graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Al Maliki, K. (2023). The domination polynomial of some graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Hoseinzadeh , E. (2023). Higher homotopic distance of maps. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Pouresmaeel, S. (2023). Lie derivations on non-unital triangular algebras. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Bakhshi, M. (2023). A mathematical model of tumor growth and its response to single irradiation. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Mahmoodi, H. (2023). Maps preserving two-sided zero products on Banach algebras. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Al Saedi, Z. (2023). Construction of a Frame Multiresolution Analysis on Locally Compact Abelian Groups. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Farshchian, R. (2023). GENERALIZED GABOR FRAME AND RETRIEVAL FRAMES. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Movahedifar, S. (2023). Harvesting effect on Preypredator system with strong Allee effect in prey. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Hoseini, M. (2023). Locating Rainbow coloring of graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Darabi, H. (2023). Non-commuting graph on a representative elements of left cosets of center in a finite group. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Shokri, F. (2023). Some energies of graphs. , (Master's thesis of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Molaei, R. (2023). certain additive cyclic codes. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Ilbeygi, Z. (2023). Some results on commutators associated to an automrphism of groups and related graphs. , (Doctoral dissertation of Pure Mathematics). Faculty of Mathematics, Ferdowsi University of Mashhad, Mashhad.

Recent research projects

Erfanian, Ahmad,parvizi, Mohsen (2023). On the exterior degree of finite dimensional Lie algebra

Erfanian, Ahmad,parvizi, Mohsen (2023). On the exterior degree of Lie algebras of dimension at most 6

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