My Publication List:
Books: 1. Cyclic Modules and the Structure of Rings, Oxford Mathematical Monographs, Oxford University Press, 2012 (with S. K. Jain and Askar Tuganbaev).
2. Modules invariant under automorphisms of their envelopes and covers, in progress (with Pedro A. Guil Asensio and Askar Tuganbaev).
Research Articles: 40. Supersymmetric analogue of Leavitt path algebras, in progress (with Katherine Radler and K. M. Rangaswamy). 39. An approach toward supersymmetric cluster algebras, preprint (with Li Li, James Mixco and Biswajit Ransingh). [Recorded version of my talk on this work at IMA is available here] 38. Graded type theory of Leavitt path algebras, preprint (with Roozbeh Hazrat and K. M. Rangaswamy). 37. Leavitt path algebras with bounded index of nilpotence, preprint (with R. Hazrat and K. M. Rangaswamy). 36. Monograph: Modules invariant under automorphisms of their envelopes and covers, in progress (with Pedro A. Guil Asensio and Askar Tuganbaev). 35. Leavitt path algebras: Graded directfiniteness and graded $\Sigma$injective simple modules, Journal of Algebra, 503 (2018), 299328 (with Roozbeh Hazrat and K. M. Rangaswamy). 34. Modules invariant under monomorphisms of their envelopes, to appear, Contemporary Math. Amer. Math. Society (with Pedro A. Guil Asensio and D. Keskin Tutuncu). 33. Vrings versus $\Sigma$V rings, to appear, Journal Algebra and Appl. (with B. Davvaz and Z. Nazemian).
24. Automorphisminvariant modules, Noncommutative rings and their applications, Contemp. Math., Amer. Math. Soc. 634 (2015), 1930 (with Pedro A. Guil Asensio).
12. On UnitCentral Rings, Advances in Ring Theory, Trends in Mathematics (volume in honor of S. K. Jain), Birkhauser Verlag (2010), 205212. (with G. Marks and D. Khurana).
10. On $\Sigma$q Rings , Journal of Pure and Applied Algebra 213 (2009), 969976 (with S. K. Jain and S. Singh).
2. Rings characterized by properties of direct sums of modules and on rings generated by units, Ph.D. dissertation, Ohio University, Athens, Ohio, 2007.
Research Articles Under Preparation:
41. Theory of partial morphisms, in progress (with Pedro A. Guil Asensio and Manuel Cortes Izurdiaga).
42. Some generalizations of Kontsevich's map, in progress.
Upcoming conferences and workshops:
This photo was taken during a visit to the Tata Institute of Fundamental Research, India.
