Education:
• Ph.D in Pure Mathematics, Geometry, Amirkabir University of Technology, Tehran, Iran (2006-2011) under supervision of Dr. Nasser Broojerdian.
• M.Sc in Pure Mathematics, Geometry, Amirkabir University of Technology, Tehran, Iran (2004-2006) under supervision of Dr. Nasser Broojerdian.
• B.Sc in Pure Mathematics, Amirkabir University of Technology, Tehran, Iran (2000-2004).
Research Interests:
• Riemannian geometry
• General relativity
• Discrete geometry
• Topological analysis of data
Awards and honors:
• Continuous Ph.D student.
Research papers:
Journal papers:
• “Affine Metrics: a structure for Unification of Gravitation and Electromagnetism”, Intrernational journal of theoretical physics, Volume 50(3) (2011), 850-860.
• “The Symmetries of Equivalent Lagrangian Systems and Constants of Motion”, Journal of Sciences (Islamic Republic of Iran), Volume 22(1) (2011), 63-132.
• “Affine Metrics and algebroid structures: application to general relativity and Unification”, Intrernational journal of theoretical physics, Volume 51(10) (2012), 3160-3167.
• “Application of Lie algebroid structures to unification Einstein and Yang-Mills field equations”, Intrernational journal of theoretical physics, Volume 53(7) (2014), 2360-2369.
• “Derivations Of The Algebra Of Sections Of Superalgebra Bundles”, Journal of Sciences (Islamic Republic of Iran) Volume 28(1) (2017), 75-78.
• “Classification of skin lesions by topological data analysis alongside with neural network”, submitted.
Conference papers:
• The symmetries of Lagrangian systems and constants of motion, the Third International Conference on Mathematical Sciences, icm 2008, Department of mathematical Sciences of UAE University, Al Ain , UAE, March 3-6, 2008.
• Application of Lie algebroid structure in unification of field equations, the 7th seminar on Geometry & Topology, Iran University of Science & technology, Iran, Tehran, January 29-30, 2014.
• The Derivations of the algebra of the functions on manifolds , 46th Annual Iranian Mathematics Conference, Iran, Yazd, Aug 25-28, 2015.
• Derivations of the algebra of sections of some algebra bundles, the 8th seminar on Geometry & Topology, Amirkabir University of technology, Tehran, December 15-17, 2015.
• Path planning for tethered robots, 48th Annual Iranian Mathematics Conference, Iran, Hamedan, Aug 22-25, 2017.
•Topological Data Analysis: methods and applications, 49th Annual Iranian Mathematics Conference, Iran Science and technology University, Iran, Teheran, , Aug 23-26, 2018.
• A New Image Classification and Visualization for Fashion Mnist Dataset Using Topological Data Analysis, 50th Annual Iranian Mathematics Conference, Shiraz University, Iran, Shiraz, Aug 26-29, 2019.
•پیشنهاد لایه ادغام در شبکههای عصبی همبافت سادکی، پنجاه و دومین کنفرانس ریاضی ایران، دانشگاه شهید باهنر کرمان، کرمان، ایران، 8 الی11 شهریور1400.
•تحلیل داده سی تی اسکن بیماران کوید١٩ توسط روش نگاشت گر به همراه شبکه عصبی، پنجاه وسومین کنفرانس ریاضی ایران، دانشگاه علم و فناوری مازندران، کرمان، ایران، 14الی 17 شهریور 1401.
•رویکردی بر گسستهسازی لاپلاسین بر گرافها و همبافتهای سادکی، پنجاه وچهارمین کنفرانس ریاضی ایران، دانشگاه زنجان، زنجان، ایران، 1الی 3 شهریور 1402.
•The EFFECT OF IMPULSIVE FILTER ON THE SIMPLICIAL NEURAL NETWORK,
54th Annual Iranian Mathematics Conference, Zanjan University, Iran, Zanjan, Aug 23-25, 2023.
Books:
• Translation of "Elementary Differential Geometry" from English to Persian, Amirkabir university of thechnology press.
تالیف کتاب مقدمهای بر تحلیل توپولويیکی داده، انتشارات دانشگاه تفرش