Preprints

Book

• Topics and Problems in Group Theory (In Persian).
  Sharif University Press, 2017.
  Original Title: مباحث و مسائلی در نظریهٔ گروه‌ها
  Publisher: موسسهٔ انتشارات علمی دانشگاه صنعتی شریف
  (With Behrooz Mirzaii)
  
    

Publications

• On constant-trace representations of degenerate Clifford algebras.
  Adv. Appl. Clifford Algebr. 31 (2021), no. 3, Paper No. 52, 17 p.  
  (with H. H. Sidhwa)
   
• On normal subgroups of the unit group of a quaternion algebra over a pythagorean field.
  Bull. Iran. Math. Soc. 46 (2019), no. 1, 253-262.  
   
• A geometric interpretation of the simplicity of SO(3).
  Amer. Math. Monthly 126 (2019), no. 4, 340-350.  
   
• Products of rotations by a given angle in the orthogonal group.
  Bull. Aust. Math. Soc. 97 (2018), no. 2, 308-312.  
   
• On totally decomposable algebras with involution in characteristic two.
  J. Algebra 451 (2016), 208-231.   Preprint version
  (With A.-H. Nokhodkar)
   
• A quick proof of the 1, 2, 4, 8 theorem.
  Expo. Math. 33 (2015), no. 3, 375-377.   Preprint version
   
• On split products of quaternion algebras with involution.
  J. Pure Appl. Algebra 218 (2014) no. 4, 731-734.   Preprint version
  (With A.-H. Nokhodkar)
   
• Involutions of a Clifford algebra induced by involutions of orthogonal group in characteristic 2.
  Comm. Algebra 43 (2015), no. 9, 3898–3919.   Preprint version
  (With A.-H. Nokhodkar)
   
• Sums of values represented by a quadratic form.
  Manuscripta Math. 140 (2013), no. 3-4, 531–556.   Preprint version
  (With G. Berhuy, N. Grenier-Boley)
   
• Orthogonal symmetries and Clifford algebras.
  Proc. Indian Acad. Sci. Math. Sci. 120 (2010), no. 5, 535–561.   Preprint version
   
• Hyperbolic involutions and quadratic extensions.
  Comm. Algebra 39 (2011), no. 1, 125–132.   Preprint version: new, old (different title)
   
• On hyperbolic Clifford algebras with involution.
  Algebra Colloq. 20 (2013), no. 2, 251-260.   Preprint version
   
• The orthogonal u-invariant of a quaternion algebra.
  Bull. Belg. Math. Soc. Simon Stevin 17 (2010), no. 1, 181-192 . Preprint version
  (With K. Becher)
   
• On hermitian Pfister forms.
  J. Algebra Appl. 7 (2008), no. 5, 629--645.   Preprint version
  (With N. Grenier-Boley and E. Lequeu)
   
• Decomposable quadratic forms and involutions.
  J. Algebra 298 (2006), no. 2, 612-629.   Preprint version
  (With D. Lewis, J.-P. Tignol, O. Villa)
   
• Hermitian forms and the u-invariant.
  Manuscripta Math. 116 (2005), no. 4, 493--516.   Preprint version
   
• Exact sequences of Witt groups.
  Comm. Algebra 33 (2005), no. 4, 965--986.   Preprint version
  (With N. Grenier-Boley)
   
• A remark on transfers and hyperbolicity.
  Comm. Algebra 32 (2004), no. 12, 4733--4739. Preprint version
   
• Finitely generated subnormal subgroups of GL_n(D) are central.
  J. Algebra 225 (2000), no. 2, 517--521.
  Preprint version
  (With M. Mahdavi-Hezavehi, S. Yasamin)
   
• Maximal subgroups of GL₁(D).
  J. Algebra 217 (1999), no. 2, 422--433.   Preprint version
  (With S. Akbari, M. Mahdavi-Hezavehi)
   

Other texts (translations, expository texts, etc.)

• Jean Dieudonné, Sur les groupes classiques (Authorized Persian Translation).
  Sharif University Press, 2017.
  Translated Title: گروه‌های کلاسیک
  Publisher: موسسهٔ انتشارات علمی دانشگاه صنعتی شریف
  
    


• John Baez, Research Tactics, Saramad. 40 (2017), 86-91. Translation


• Richard Hamming, You and Your Research, Farhang va Andisheh Riyazi. 44 (2010), 81-90. Translation