51. M. Khalkhali, G. Landi, and W.D. van Suijlekom. Holomorphic structures on the quantum 2-sphere. Appeared in Oberwolfach Reports 2009.

50. M. Khalkhali, and B. Rangipour. Cup Products in Hopf-Cyclic Cohomology and Connes-Moscovici Characteristic Map. Appeared in Oberwolfach Reports 2004.

49. F. Fathizadeh, and M. Khalkhali. Computing the modular curvature for the noncommutative two torus. Appeared in Oberwolfach Reports 2011.

48. F. Fathizadeh, and M. Khalkhali. Scalar curvature, Connes' trace theorem, and Einstein-Hilbert action for noncommutative 4-tori . file. Appeared in Oberwolfach Reports 2013.

47. A. Fathi, and M. Khalkhali. On Certain Spectral Invariants of Dirac Operators on Noncommutative Tori . April 2015( arxiv: 1504.01174 )

46. F. Fathi, A. Ghorbanpour, and M. Khalkhali. The Curvature of the Determinant Line Bundle on the Noncommutative Two Torus . Oct. 2014.( arxiv: 1410.0475 )

45. F. Fathizadeh, A. Ghorbanpour, and M. Khalkhali. Rationality of Spectral Action for Robertson-Walker Metrics . July 2014.(arxiv: 1407.5972 )

44. M. Khalkhali, and A. Moatadelro A Riemann-Roch theorem for the noncommutative two torus . July 2013.( arxiv: 1307.5367 )

43. F. Fathizadeh, and M. Khalkhali. Scalar Curvature for Noncommutative Four-Tori . Oct. 2011.(arxiv: 1301.6135 )

42. F. Fathizadeh, and M. Khalkhali. Scalar Curvature for Noncommutative Four-Tori . January 2013.(arxiv: 1301.6135 )

41. F. Fathizadeh, M. Khalkhali, F. Nicola, and L. Rodino A Two Dimensional Adler-Manin Trace and Bi-singular Operators . Dec. 2011.( arxiv: 1112.2122 )

40. F. Fathizadeh, and M. Khalkhali. Weyl's Law and Connes' Trace Theorem for Noncommutative Two Tori . Oct. 2011.(arxiv: 1111.1358)

39. F. Fathizadeh, and M. Khalkhali. Scalar Curvature for the Noncommutative Two Torus, Oct. 2011, arXiv:1110.3511.

38. F. Fathizadeh, and M. Khalkhali. Twisted Spectral Triples and Connes' Character Formula, Fields Institute Communications, Volume 61 - Perspectives on Noncommutative Geometry, Sept. 2011. ( arXiv: 1106.6127)

37. A. Moatadelro, and M. Khalkhali. Noncommutative complex geometry of the quantum projective space , Journal of Geometry and Physics, Volume 61, Issue 12, December 2011, 2436-2452. ( arXiv:1105.0456)

36. M. Hassanzadeh, and M. Khalkhali. Cup products and coproducts in Hopf cyclic cohomology, submitted to K-theory, Nov. 2010. ( arXiv:1011.2735)

35. A. Moatadelro, and M. Khalkhali. The homogeneous coordinate ring of the quantum projective plane, Journal of Geometry and Physics, Volume 61, Issue 1, January 2011, 276-289. ( arXiv:1007.3255)

34. F. Fathizadeh, and M. Khalkhali. The Gauss-Bonnet Theorem for Noncommutative Two Tori With a General Conformal Structure , accepted to appear in Journal of Noncommutative Geometry. ( arXiv:1005.4947)

33. F. Fathizadeh, and M. Khalkhali. The algebra of formal twisted pseudodifferential symbols and a noncommutative residue, Letters in Mathematical Physics, Volume 94, Issue 1, pp.41-61. 2010. ( arXiv:0810.0484)

32. M. Khalkhali, A short survey of cyclic cohomology, 29 pages, in Quanta of Maths, Alain Connes' festshrift, published by Clay Math Institute, and American Mathematical Society, Dec 2010. ( arXiv:1008.1212)

31. M. Khalkhali, and A. Pourkia. A supersymmetric version of the Connes-Moscovici Hopf algebra, Noncommutative Geometry and Global Analysis, Contemporary Mathematics, vol. 546, Amer. Math. Soc., Providence, RI, 2011, pp. 181-198. ( arXiv: 1011.2550)

30. M. Khalkhali, Giovanni Landi, and Walter D. van Suijlekom. Holomorphic structures on the quantum projective line, International Mathematics Research Notices, Vol 2011, issue 4, 851-884, 2011. ( arXiv:0907.0154)

29. M. Khalkhali, and A. Pourkia. Hopf cyclic cohomology in braided monoidal categories, Homology, Homotopy and Applications 12 (2010), No. 1, 111-155. ( arXiv:0807.3890)

28. A. Kaygun and M. Khalkhali. Bivariant Hopf cyclic cohomology, Communications in Algebra, Volume 38 Issue 7, 2010, 2513-2537. ( arXiv:math/0606341)

27. M. Khalkhali. Lectures in noncommutative geometry, in An Invitation to Noncommutative Geometry, World Scientific, Spring 2008. ( arXiv: math/0702140)

26. M. Khalkhali and B. Rangipour. Introduction to Hopf-cyclic cohomology, Noncommutative geometry and number theory, 155--178, Aspects Math., E37, Vieweg, Wiesbaden, 2006. ( arXiv:math/0503244)

25. A. Kaygun and M. Khalkhali. Excision in Hopf cyclic homology, K-Theory 37(1-2)(2006), 105-128. (arXiv:math/0511026)

24. A. Kaygun and M. Khalkhali. Hopf modules and noncommutative geometry, Letters in Mathematical Physics 76(1)(2006), 77-91. ( arXiv:math/0512031)

23. M. Khalkhali. Cup products in Hopf-cyclic cohomology and Connes-Moscovici characteristic map, Oberwolfach Reports no. 45(2004), 2372-2374. ( arXiv:)

22. M. Khalkhali and B. Rangipour. Para-Hopf algebroids and their cyclic cohomology, Letters in Mathematical Physics, 70(2004), 259-272. ( arXiv:)

21. M. Khalkhali and B. Rangipour. A note on cyclic duality and Hopf algebras, Communications in Algebra no. 3, 33(2004), 263-273. ( arXiv:math/0310088)

20. M. Khalkhali and B. Rangipour. On the cyclic cohomology of Hopf crossed products, Fields Institute Communications, vol. 43, (2004), 11 pages. ( arXiv:math/0303068)

19. P. Hajac, M. Khalkhali, B. Rangipour and Y. Sommerhuser. Stable anti-Yetler-Drinfeld modules, C. R. Acad. Science, Paris, Ser. I, 338(2004), 587-590. ( arXiv:math/0405005)

18. P. Hajac, M. Khalkhali, B. Rangipour and Y. Sommerhuser. Hopf-cyclic homology and cohomology with coefficients, C. R. Acad. Science, Paris, Ser. I, 338(2004), 667-672. ( arXiv:math/0306288)

17. M. Khalkhali and B. Rangipour. On the generalized cyclic Eilenberg-Zilber theorem, Canadian Mathematical Bulletin 47(2004), 38-48. (arXiv:math/0106167)

16. M. Khalkhali and R. Akbarpour. Equivariant cyclic cohomology of H-algebras, K-Theory 29(2003), 231-252. (arXiv:math/0009236)

15. M. Khalkhali and B. Rangipour. Cyclic cohomology of extended Hopf algebras, Banach Center Publications 61(2003), 59-89. ( arXiv:math/0303069)

14. M. Khalkhali and B. Rangipour. Invariant cyclic homology, K-Theory 28(2003), 183-205. (arXiv:math/0207118)

13. M. Khalkhali and R. Akbarpour. Cyclic homology of Hopf comodule algebras and Hopf module coalgebras, Comm. In Algebra 31,11(2003), 5653-5671. ( arXiv:math/0108126)

12. M. Khalkhali and R. Akbarpour. Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras, J. Reine u. Angewandte Mathematik 559(2003), 137-152. ( arXiv:math/0011248)

11. M. Khalkhali and B. Rangipour. A new cyclic module for Hopf algebras, K-Theory 27(2002), 111-131. (arXiv:math/0010153)

10. M. Khalkhali. Operations on cyclic homology, the X complex and a conjecture of Deligne, Communications in Mathematical Physics 202(1999), 309-323. ( arXiv:math/9810139)

9. M. Khalkhali. On Cartan homotopy formulas in cyclic homology, Manuscripta Mathematica 94(1997), 111-132. ( arXiv:)

8. M. Khalkhali. A survey of entire cyclic cohomology, Cyclic cohomology and noncommutative geometry (Waterloo, ON, 1995), 79--89, Fields Inst. Commun., 17, Amer. Math. Soc., Providence, RI, 1997. ( arXiv:)

7. M. Khalkhali. An approach to operations on cyclic homology, J. of Pure and Applied Algebra 107(1996), 47-59. (arXiv:)

6. M. Khalkhali. Algebraic connections, universal bimodules and entire cyclic cohomology, Commun. in Math. Physics 161(1994), 433-446. ( arXiv:)

5. M. Khalkhali. On the entire cyclic cohomology of Banach algebras, Commun. in Algebra 22(1994), 22(1994), 5861-5874. ( arXiv:)

4. M. Khalkhali. A vanishing theorem for operations on entire cyclic cohomology, K-Theory 8(1994), 435-442. ( arXiv:)

3. M. Khalkhali. Nilpotent extensions and entire cyclic cohomology, K-Theory 8(1994), 429- 434. ( arXiv:)

2. P.A. Fillmore and M. Khalkhali. Entire cyclic cohomology of Banach algebras, Operator Theory: Advances and Applications 73(1994), 256-263. ( arXiv:)

1. M. Khalkhali, C. Laurie, B. Mathes and H. Radjavi. Approximation by products of positive operators, J. of Operator Theory 29(1993), 237-247. ( arXiv:)