M.Sc. Students (now and former)

Ø Naghme Moshtaghy :: On the “I.A. Kogan, Inductive approach to Cartans moving frame method with applications to classical invariant theory, University of Minnesota, 2000”, IUST, 2000-2002.

Ø Majid Khalili :: General theory of the moving frames, IUST, 2000-2002.

Ø Arash Shamloo :: On the “A.D. Lewis, Energy preserving affine connections, 1997”, IUST, 2001-2003.

Ø :: University of Saskatchewan, Canada.

Ø Hasan Najafi-Alishah :: Affine connection control systems, IUST, 2001-2003. :: Instituto Superior T´ecnico, Portugal.

Ø Hamid-Reza Salimi-Moghadam :: On the “D.V. Alekseevsky and P.W. Michor, Differential ge- ometry of Cartan connections, Publ. Math. Debrecen, 47/3-4 (1995), 349375”, IUST, 2002-2004. :: Isfahan University, I.R.Iran. (link)

Ø Esmaeil Noroozi :: Relation between affine connections and constraints, IUST, 2003-2005.

Ø Ali Mahdipour-Shiraye :: On the “E.T. Newman and P. Nurowski, Projective connections associated with second order ordinary differential equations, 2003 Class. Quantum Grav. 20 23–25.”, IUST, 2003- 2005. :: University of Waterloo, Canada. (link)

Ø Hasan Mahmoodi :: On the “P.J. Olver, Joint invariant signatures, Found. Comput. Math. 1 (2001), 3-67.”, IUST, 2003-2005.

Ø Rooholah Azizi :: Galilean space times, IUST, 2003-2005.

Ø Seyed-Mahdi Mousavi :: On the “A.N. Bernal, M. Sanchez, Leibnizian, Galilean and newtonian structures of space time, Journal of Mathematical Physics, 44 (3), 1129–1149”, IUST, 2004-2006. :: Windsor University, Canada.

Ø Ali-Reza Rahmani :: On the “A.D. Lewis, Affine connection control systems, 1999.”, IUST, 2004- 2006.

Ø Najme Mohammad-Jafari :: Overdetermined equivalence problems and its applications in control, NTB, 2004-2006.

Ø Kalamollah Shakeri :: Cartan’s equivalence method, NTB, 2004-2006.

Ø Mohammad-Hosein Tavasoli :: Geometry and nonlinear connections, NTB, 2004-2006.

Ø Kamran Farhad-Zadeh :: Exterior differential systems, NTB, 2005–2007.

Ø Seyed-Reza Hejazi :: Theory of differential invariants, IUST, 2005-2007. :: Sharood University of Technology, Shahrood. (link)

Ø Mahdi Nemati :: On “P.J. Olver, G. Sapiro and A. Tannenbaum, Differential invariant signatures and flows in computer vision: a symmetry group approach, in: Geometry-Driven Diffusion in Computer Vision, B.M. Ter Haar Romeny, ed., Kluwer Acad. Publ., Dordrecht, Netherlands, 1994, pp. 255–306.”, IUST, 2005-2007.

Ø Parastoo Kabi-Nejad :: On the “P.J. Olver, Differential invariants of surfaces, Diff. Geom. Appl. 27 (2009), 230–239.”, IUST, 2006-2008. Ph.D. Student IUST, I.R. Iran.

Ø Sara Mehdipour :: On the “P.J. Olver, Geometric foundations of numerical algorithms and symmetry, Appl. Alg. Engin. Comp. Commun. 11 (2001), 417–436.”, IUST, 2006-2008.

Ø Tahere Reza-Khoshdany :: On the “P.J. Olver, Invariant submanifold flows, J. Phys. A 41 (2008), 344017.”, IUST, 2006-2008.

Ø Roololah Bakhshande-Chamazkooti :: On the “P.J. Olver, Generating differential invariants,

Ø J. Math. Anal. Appl. 333 (2007), 450–471.”, IUST, 2006-2008. :: Noshivani Babol University of Technology, Babol, Mazandaran, Iran. (link)

Ø Mehdi Bikdeloo :: On the “R. Atkins, The geometry of a pair of second order ordinary differential equations and Euclidean spaces, Canad. Math. Bull. Vol. 49 (2), 2006 pp. 170–184.”, IUST, 2007-2009.

Ø Nahal Nasir-Zadeh :: On the “O.I. Morozov, Symmetries of differential equations via Cartan’s method of equivalence, Journal of Physics A, Mathematical and General, 2002, V 35, pp. 2965–2977.”, IUST, 2007-2009.

Ø Sajad Nazari :: On the “P.J. Olver and J. Pohjanpelto, Maurer-Cartan forms and the structure of Lie pseudo-groups, Selecta Math. 11 (2005), 99–126.”, IUST, 2007-2009.

Ø Saeed Dodangeh :: On the “E. Hubert, Differential invariants of a Lie group action: syzygies on a generating set, Journal of Symbolic Computation, Vol 44, 4, 2009, 382–416.”, IUST, 2008-2010.

Ø Elahe Oftadeh :: On the “O. Morozov, Symmetries of differential equations and Cartan’s equivalence method, Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, Vol. 50, Part 1, 196–203.”, NTB, 2008-2010.

Ø Maryam Abdolsamadi :: On the “O. Morozov, Structure of symmetry groups via Cartan’s method, Survey of four approach, SIGMA 1 (2005), 006.”, NTB, 2008-2010.

Ø Parvane Ahmadi :: An introduction to symmetry methods in the solution of differential equations that accrue in Chemistry and Chemical Biology, NTB, 2009-2011.

Ø Amin Dehghani :: Group classification of the differential equations with a delay, IUST, 2009-2011.

Ø Mohammad-Javad Afshari :: On the “N.H. Ibragimov, V.F. Kovalev and V.V. Pustovalov, Sym- metries of integro-differential equations: a survey of methods illustrated by the Benney equations. Nonlinear Dyn. 28(2), 135–153 (2002).”, IUST, 2009-2011. Ph.D. student of IASBS, Zanjan, I.R. Iran.

Ø Saeede Rashidi :: On the “V.A. Baikov, R.K. Gazizov and N.H. Ibragimov. Approximate symmetries. Math. Sbornik, 136 (178), No.3:435-450, 1988. English transl., Math. USSR Sb., 64 (1989), No.2, 427–441.”, IUST, 2009-2011.

Ø Maryam Khoda-Moradi :: On the “G. Gaeta and P. Morando, On the geometry of lambda- symmetries and PDE reduction, J. Phys. A: Math. Gen. 37 (2004) 6955–6975.”, NTB, 2009-2011.

Ø Maryam Karimi :: On the “R.O. Popovich and A. Sergeyev, Conservation laws and normal forms of evolution equations, Phys. Lett. A 374: 2210-2217, 2010.”, NTB, 2011-2013.

Ø Mohammad-Reza Razavi-Motlagh :: Lie group analysis of 2−dimensional nonlinear heat equa- tions, IUST, 2010-2012.

Ø Mohammad Doosti :: Invariant Lagrangians and integration of nonlinear equations, IUST, 2010- 2012.

Ø Fathollah Kheradmand :: Control of nonholonomic mechanical systems, IUST, 2010-2012.

Ø Neda Mirzaee :: Lie group analysis of Burgers’ equation, IUST, 2010-2012.

Ø Maryam Yaghesh :: On “R. Cimpoiasu and R. Constantinescu, Symmetries and invariants for the 2D-Ricci flow model, Journal of Nonlinear Mathematical Physics Vol 13, No 2 (2006), 285–292.”, IUST, 2010-2012.

Ø Omid Chekini :: Method of construction of conservation laws, IUST, 2011-2013.

Ø Hamide Saghaei :: Lie-Ba¨cklund and Noether symmetries, IUST, 2011-2013.

Ø Reza Mohammadi :: On the “R. Bryant, P.A. Griffiths and D.A. Grossman, Exterior differential systems and Euler-Lagrange partial differential equations, University of Chicago Press, Chicago, IL, 2003.”, IUST, 2011-2013.

Ø Zahra Pahlevani-Tehrani :: On the “F. Valiquette, Solving local equivalence problems with the equivariant moving frame method, SIGMA 9 (2013), 029.”, IUST, 2011-2013.

Ø Mohammad Mahdi-Gilak :: On the Schwarzschild spacetime, IUST, 2012-2014.

Ø Mohammad Pak-Nezhad :: On the “M. Nadjafikhah and F. Ahangari, Symmetry analysis and conservation laws for the Hunter-Saxton equation, Commun. Theor. Phys. 59 (2013) 335–348.”, IUST, 2012-2014.

Ø Najmeh Shafiee :: On “E. Calabi, P.J. Olver and A. Tannenbaum, Affine geometry, curve flows, and invariant numerical approximations, Adv. in Math. 124 (1996), 154–196.”, IUST, 2012-2014.

Ø Aboozar Dastpak :: On the “P.J. Olver, Differential invariants of maximally symmetric submanifolds, J. Lie Theory 19 (2009), 79–99”, IUST, 2012-2014.

Ø Samira Zeinali-Pour :: On the “J. Cheh, P.J. Olver and J. Pohjanpelto, Algorithms for differential invariants of symmetry groups of differential equations, Found. Comput. Math. 8 (2008), 501–532.”, IUST, 2012-2014.

Ø Omid Adeli :: Curve evolution and level sets, IUST, 2012-2014.

Ø Masumeh Khodaverdi-Samani :: Three-manifolds with positive Ricci curvature, IUST, 2012-2014.

Ø Nasim Daryani :: Diffeological spaces, IUST, 2013-2015.

Ø Saeid Rezaei :: On the classification of complex and real algebras, IUST, 2015-2017.

Ø Mina Bayat :: On “Kh. Goodarzi and M. Nadjafikhah, µ−symmetry and µ−conservation law for the extended mKdV equation, Journal of Nonlinear Mathematical Physics, Vol. 21, No. 3, 2014, 371–381.”, IUST, 2013-2015.

Ø Fatemeh Fahimi-Shijani :: On the Backlund transformations, IUST, 2013-2015.

Ø Mohsen Kashe-Farahani :: Symbolic softwares for Lie symmetry analysis, IUST, 2013-2015.

Ø Mohammad-Amin Sedghi :: Symmetry of nonlinear control systems and its applications, IUST, 2014-2016.

Ø Fatemeh-Sadat Mousavi-Nejad :: Special conformal group and nonlinear Poisson equation, IUST, 2014-2016.

Ø Ali Asgari :: On the “D.J. Hoff and P.J. Olver, Automatic solution of jigsaw puzzles”, IUST, 2014- 2016.

Ø Kourosh Torab-Parhiz :: Geometric study of vector fields, IUST-Noor, 2014-2017.

Ø Amin Taghi-Nejad :: Cartan’s view of Klein’s Erlangen program, IUST-Noor, 2014-2016.

Ø Dariush Rahman-Setayesh :: Geometric structure of n−bar linkages, IUST, 2015-2017.

Ø Saeed Ghanbari :: Sobolev spaces on Riemannian manifolds, IUST, 2016-.

Ø Hossein Beyranvand :: On the “A. Ruiz, C. Muriel and P.J. Olver, Commutator of C∞-symmetries and reduction of Euler-Lagrange equations”, IUST, 2016-2018.

Ø Somayyeh Soltani :: The Einstein-Cartan theory, IUST-Noor, 2016-2018.

Ø Shabnam Shaban-Zadeh :: Matrix Lie groups, IUST-Noor, 2016-2019.

Ø Seyyed-Asghar Taghavi :: An applied veiw to moving frame theory, IUST, 2017-2020.

Ø Seyede-Zeynab Afarin :: On the “K. Crane, C. Weischedel and M. Wardetzky, The heat method for distance computation, Communications of the ACM 60 (11) 90-99, 2017”, IUST, 2018-2020.

Ø Mehdi Mirzavand :: On the “N. Sharp, Y. Soliman and K. Crane, The vector heat method, ACM Trans. Graph., Vol. 38, No. 3, Article 00. Publication date: June 2019.”, IUST, 2018-2020.

Ø Ali-Akbar Ammi :: On the “M.Nadjafikhah and M. Jafari, Computation of partially invariant solutions for the Einstein Walker manifolds identifying equations, Commun Nonlinear Sci Numer Simulat 18 (2013) 3317-3324”, IUST, 2019-2021.

Ø Payam Pashapour :: On the “N. Sharp and K. Crane, Varational surface cutting, ACM Trans. Graph., Vol. 37, No. 4, Article 156. 2018”, IUST, 2019-2022.

Ø Fatemeh Asadi :: Applications of fractals in architecture, IUST, 2019-2021.

Ø Roya Tarighatnia :: Computational modeling of curves and surfaces, IUST, 2019-2021.

Ø Hosein Zarei :: Content analysis of high school geometry in Iran and the United States, IUST, 2020-2022.

Ø Fateme Basiri :: Interactive seamless fusion of multiview video textures, IUST, 2020-2023.

Ø Robab Rajabzadeh :: Lie symmetry analysis of fractional differential equations, IUST, 2021-.

Ø Hamid-Reza Karbasian :: Elementary geometric algorithms by Phyton, IUST, 2021-.

Last Updates: 7/25/2023