Website: www.sites.google.com/view/ardeline

Areas of Interest/Specialization: Associative Algebras

Experience:

• Teaching Experience: 22 years
• Research Experience: 19 years
• PhD Students: 5 Awarded, 3 Ongoing
• M. Phil Students: 5 Awarded

Professional Duties:

• Teacher-in-charge of the department (2016-2018, since 2022)
• Co-ordinator of UGC-SAP (DRS, Phase-II) (2016-2021)
•  Reviewer for multiple journals including Indian Journal of Pure and Applied Mathematics, Communications in Mathematics, and The Journal of the Indian Mathematical Society.
• Chairperson, Undergraduate Syllabus Committee, Colleges affiliated with NEHU, Shillong.
• Member, State Curriculum Framework Committee, Government of Meghalaya, India.

Publications

• Buhphang, A. M., Goswami, R., & Kuber, A. (2024). A note on injectivity of monomial algebras. Communications in Algebra, 1–7. https://doi.org/10.1080/00927872.2024.2428321
• Dutta, D.M. and Buhphang, A.M., On nil ideals and Jacobson radical of Leavitt path algebras over commutative rings, Discussiones Mathematicae General Algebra and Applications 44 (2024) 439–449. https://doi.org/10.7151/dmgaa.1454
• Buhphang, A.M. and Dutta, D.M., On weakly nil-semicommutative rings, Journal of Algebra and Related Topics, 11(2)(2023), 73-83.
• Singh, H., Buhphang, A.M. and Rege, M.B., Armendariz Modules and Niltorsionless Modules, Mathematical Reports, 25(75)(2023), 319-329.
• Subba, S., Subedi, T. and Buhphang, A.M., Pointwise Semicommutative Rings, Mathematical Notes, 114(2023), 1350-1347.
• Das, S. and Buhphang, A.M., On rings whose cyclic are Utumi modules, Palestine Journal of Mathematics, vol. 11(2)(2022), 362-371.
• Das, S. and Buhphang, A.M., On principally small-injective rings, Rendiconti del Circolo Matematico di Palermo Series 2, (2021).
• Buhphang, A.M., Das, S., Gonzalez, C.M. and Molina, M.S. (2020) Socle-injective semiprime rings, with some applications to Leavitt path algebras, Communications in Algebra, 49(3)(2021), 1128 – 1145.
• Das, S. and Buhphang, A.M., Rings characterized by dual-Utumi-modules, Journal of Algebra and its Applications, (2019) 2050229.
• Subedi T. and Buhphang A.M., On left SF-rings and strongly regular rings, Kyungpook Mathematical Journal, 56(2016), pp.861-866.
• Buhphang A.M., Halicioglu S., Harmanci A., Hera Singh K., Kose H.Y and Rege M.B., On rigid modules, East West Journal of Mathematics, Vol. 15, No. 1 (2013), pp. 71-85.
• Subedi T. and Buhphang A.M., On strongly regular rings and generalizations of V-rings, International Electronic Journal of Algebra, 14(2013), pp.10-18.
• Subedi T. and Buhphang A.M., On SF-rings and regular rings, Kyungpook Mathematical Journal, 53(2013), pp.397-406.
• Subedi T. and Buhphang A.M., On weakly regular rings and generalizations of V-rings, International Electronic Journal of Algebra, 10(2011), pp.162-173.
• Rege M.B. and Buhphang A.M., On reduced modules and rings, International Electronic Journal of Algebra, 3(2008), pp.58-74.
• Rege M.B. and Buhphang A.M., Integrally closed rings and the Armendariz property, International Electronic Journal of Algebra, 1(2007), pp.11-17.
• Buhphang A.M. and Rege M.B., Semi-commutative modules and Semi-commutative modules and Armendariz modules, Arab Journal of Math. Sc., 8(2002), pp.53-65.

Papers presented in Conferences/Seminars:

1. “An account on certain annihilating properties in Leavitt path algebras”, Universidad de Malaga, Malaga, Spain, 24^th July 2024.
2. “On Pointwise Semicommutative rings”, 9^th European Congress of Mathematics, Sevilla, Spain, 17^th July 2024.
3. “An exposition on the injectivity of Leavitt Path Algebras”, FiLPART, Bohol, Philippines, July 2024.
4. “On certain classes of injective rings”, 37^th Annual Conference of Ramanujan Mathematical Society, Chennai, Tamil Nadu, India, 7^th December, 2022.
5. “Some vanishing conditions on Leavitt-path algebras”, Asia-Australia Algebra Conference, Western Sydney University, Sydney, Australia, 23^rd January, 2019.
6. “Some properties of n-Armendariz rings”, Non-commutative rings and their applications - IV, Universite d’Artois, Lens, France, June 2015

Workshops and Conferences:

• 9th European Congress of Mathematics, Sevilla, Spain, July 15-19, 2024.
• Frontiers in Leavitt Path Algebras and Related Topics workshop held at Bohol, Philippines during July 8-12, 2024.
• CIMPA School in Current Trends in Algebra, Dumaguete, Philippines, 29th January, 2024 - 9th February, 2024.
• Noncommutative rings and their applications - IV, University of Artois, France, 8th June, 2015 - 11th June, 2015.
• Recent Trends in Non-Commutative Algebras, IISER Pune, India, 19th June, 2017 - 30^th June, 2017.
• Topics in Ring Theory, Muizenberg, South Africa, 16th July, 2018 - 28th July, 2018.
• School on Cluster Algebras, ICTS Bangalore, India, 8th December, 2018 - 22nd December, 2018.
• Asia - Australia Algebra Conference, Western Sydney University, Australia, 21st January, 2019 - 25th January, 2019.

Workshops Organized:

• Conference Chair of the 7th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2024) held at Central University of Punjab, during November 13-14, 2024.
• Convener of the International Conference on Emerging Frontiers in Mathematical and Computational Sciences (EFMCS - 2024) at North-Eastern Hill University, Shillong during October 24-26, 2024.
• External Co-ordinator Frontiers in Leavitt Path Algebras and Related Topics workshop held at Bohol, Philippines during July 8-12, 2024.
• Local Co-ordinator Instructional School for Teachers on Algebra and Number Theory, 2023, at North-Eastern Hill University, Shillong.
• Local Co-ordinator Instructional School for Teachers on Rings and Modules, 2019, at North-Eastern Hill University, Shillong.
• Co-ordinator UGC-SAP sponsored three-day National Seminar on ‘Topology and Algebra’ during March 26 - 28, 2018, at North-Eastern Hill University, Shillong.
• Co-convener Satellite Conference on Rings and Near Rings funded by the International Congress of Mathematics, 2010, at North-Eastern Hill University, Shillong.