Dr Rishi Vyas is a mathematician whose research interests lie in algebra, with a specific focus on ring theory, homological algebra, and group theory. After earning an undergraduate honours degree in Mathematics from St Stephen’s College, he proceeded to the University of Cambridge for graduate and doctoral studies. At Cambridge, he was supported by fellowships from the Inlaks Foundation and the Cambridge Commonwealth Trust. He wrote his thesis on the homological aspects of noncommutative ring theory. For his postdoctoral research at the Ben-Gurion University of the Negev, Dr Vyas worked to further understand the homological theory of noncommutative rings; he was supported by a PBC Fellowship from the Israel Council for Higher Education. Dr Vyas has also undertaken research in group theory, with a focus on combinatorial group theory and the interplay between group theory, logic, and computability.

Ring Theory

Group Theory

Category Theory

Homological Algebra

1. A Mitra, R Vyas, Some homological aspects of idempotents in idempotented algebras, Comm. Algebra, 48 (7), (2020), 2986-3002

2. R Vyas, Weakly stable torsion classes, Algebr. Represent. Theory, 22, (2019), 1183–1207 

3. A Kabiraj, T.V.H. Prathamesh, R Vyas, Elementary equivalence in Artin groups of finite type, Int. J. Algebra Comput. 28 (2), (2018), 331-344

4. R Vyas, A Yekutieli, Weak proregularity, weak stability, and the noncommutative MGM equivalence, J. Algebra 513, (2018), 265-325

5. M Chiodo, R Vyas, Torsion, torsion length, and finitely presented groups, J. Group Theory 21 (5), (2018), 949-971

6. M Chiodo, R Vyas, A note on torsion length, Comm. Algebra 43 (11), (2015), 4825-4836 

7. R Vyas, A homological reformulation of the link condition,  J. Algebra 394, (2013), 223-244

8. R Vyas, Ore localization and minimal injective resolutions, J. Pure Appl. Algebra 217 (11), (2013), 2117-21342