Mohan R
Areas of Interest & Expertise
 Leavitt path algebras and their generalisations
 Steinberg algebras and Groupoid C* algebras
 Noncommutative Stone duality and Boolean inverse semigroups
 Semigroup Theory
Biography
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 CohnLeavitt path algebras of biseparated graphs, which builds a common framework for Leavitt path algebras and their various generalisations. He also studied their nonstable 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 noncommutative 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.
He is the multimedia editor at Bhavana, the mathematics magazine, and runs Math Nomad, a YouTube channel. He enjoys long walks, and listening to music, audiobooks and podcasts.
Courses
Abstract Algebra
Appreciate the power of abstraction and the axiomatic method.
Linear Algebra
The plane is thought to be twodimensional, experienced space as threedimensional and represent them by coordinate systems. This course leads to vector spaces and linear maps which crop up everywhere in mathematics.
Calculus 2: Real Analysis
The second of three courses of calculus for your Mathematics Major.
Introduction to Mathematical Thinking 2
Two of a twopart introduction that introduces you to the foundations of mathematical thinking.
Calculus 3: Analysis of Several Variables
A course on multivariable calculus for a further study in a large number of mathematical areas.

Has Artificial Intelligence Conquered Mathematics?
The short answer is no, but Mohan R and Nandita Jayaraj discuss some sure signs that a new era of mathematics is approaching.

The expensive simplicity of Daniel Spielman’s mathematics
A mathematician and a computer scientist, Mohan R and Ramanujam R, help us make sense of the fascinating mathematics of Daniel Spielman, a name that turns heads in the math world today.
Publications
Journal Articles
 R. Mohan, & B. N. Suhas. (2021). CohnLeavitt path algebras of biseparated 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/s12044021 – 00610‑1
Conference Paper
 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/
Magazine Articles
 Mohan, R., & Rao, S. (2020, April). The truth that liberates — Anatoly Vershik in conversation. Bhavana, 4(2). https://bhavana.org.in/thetruththatliberates/
 Mohan, R. (2019, March). Review of the book Mathematician’s Delight, by W.W. Sawyer. At Right Angles, 8(1), 106 – 109. https://publications.azimpremjifoundation.org/3181/1/23_book_review_review.pdf
 Mohan, R., & Rao, S. (2017, October). A large deviation from the ordinary — S.R.S. Varadhan in conversation. Bhavana, 1(4). https://bhavana.org.in/largedeviationssrsvaradhan/
Newspaper Articles
 Mohan, R. (2024, March 14). AlphaGeometry and the threat of AI’s takeover of mathematics  Explained. The Hindu. https://www.thehindu.com/scitech/science/alphageometrythreatartificialintelligencetakeovermathematics/article67946253.ece
 Mohan, R. (2023, October 03). ‘Today, mathematics is not only necessary in daily life but pervasive’. The Hindu. https://www.thehindu.com/scitech/science/apoorvakhareinterviewpolymathterencetaobhatnagaraward/article67374572.ece
Online Article
 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/thesciences/yitangzhanglandausiegelzeroesriemannhypothesis/