Areas of Interest & Expertise
- Leavitt path algebras and their generalisations
- Steinberg algebras and Groupoid C* algebras
- Non-commutative Stone duality and Boolean inverse semigroups
- Semigroup Theory
Mohan completed his doctoral degree from Indian Statistical Institute, Bangalore Centre. He has earlier taught in Amrita Vishwa Vidyapeetham’s Bengaluru campus and was a field associate at Azim Premji Foundation’s Puducherry District Institute.
His doctoral work was on Cohn-Leavitt path algebras of bi-separated graphs, which builds a common framework for Leavitt path algebras and their various generalisations. He also studied their non-stable K‑theory and representation theory in a few special cases.
In recent years, étale groupoids have become a focal point in several areas of mathematics. The convolution algebras arising from étale groupoids, considered both in analytical setting (groupoid C* algebras pioneered by Renault) and algebraic setting (Steinberg algebras). They include many deep and important examples such as graph C* algebras and Leavitt path algebras, and allow systematic treatment of them.
On the other hand, partial symmetries arising in dynamical systems can be realised by étale groupoids via inverse semigroups. This has led to a fertile confluence of different areas of mathematics such as non-commutative algebras, inverse semigroup theory, and C* algebras. His research interests are focused on the study of how these areas interact with each other. He is also interested in undergraduate mathematics education and communication.
Appreciate the power of abstraction and the axiomatic method.
Learning how to translate concrete ideas to abstract levels.
Two of a two-part introduction that introduces you to the foundations of mathematical thinking.
The second of three courses of calculus for your Mathematics Major.
A course on multivariable calculus for a further study in a large number of mathematical areas.
R. Mohan, & B. N. Suhas. (2021). Cohn-Leavitt path algebras of bi-separated graphs. Communications in Algebra, 49(5), 1991 – 2021. https://doi.org/10.1080/00927872.2020.1861286
Mohan, R. (2021). Leavitt path algebras of weighted Cayley graphs Cn(S,w). Proceedings — Mathematical Sciences, 131(2). https://doi.org/10.1007/s12044-021 – 00610‑1
- Mohan, R. (2018). Mathematics Training and Talent Search Programme- A report. In S. Ladage & S. Narvekar (Eds.), Proceedings of epiSTEME 7 — International Conference to Review Research on Science, Technology and Mathematics Education, (pp.276 – 284). India: Cinnamon Teal. https://episteme7.hbcse.tifr.res.in/proceedings/
Mohan, R., & Rao, S. (2020, April). The truth that liberates — Anatoly Vershik in conversation. Bhavana — The mathematics magazine, 4(2). https://bhavana.org.in/the-truth-that-liberates/
Mohan, R. (2019, March). Review of the book Mathematician’s Delight, by W.W. Sawyer. At Right Angles — A resource for School Mathematics, 8(1), 106 – 109. https://publications.azimpremjifoundation.org/3181/1/23_book_review_review.pdf
- Mohan, R. (2022, November 23). Riemann Hypothesis: What Yitang Zhang’s new paper means and why you should care. The Wire Science. https://science.thewire.in/the-sciences/yitang-zhang-landau-siegel-zeroes-riemann-hypothesis/