# Mohan R

### 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

### 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 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.

He is the multi-media 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 two-dimensional, experienced space as three-dimensional and represent them by coordinate systems. This course leads to vector spaces and linear maps which crop up everywhere in mathematics.

#### Introduction to Mathematical Thinking 2

Two of a two-part introduction that introduces you to the foundations of mathematical thinking.

#### Calculus 2: Real Analysis

The second of three courses of calculus for your Mathematics Major.

#### Calculus 3: Analysis of Several Variables

A course on multivariable calculus for a further study in a large number of mathematical areas.

### Publications

#### Journal Articles

R. Mohan, & B. N. Suhas. (2021). Cohn-Leavitt path algebras of bi-separated graphs.

*Communications in Algebra*,*49*(5), 1991 – 2021. https://doi.org/10.1080/00927872.2020.1861286Mohan, 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

#### 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/the-truth-that-liberates/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.pdfMohan, R., & Rao, S. (2017, October). A large deviation from the ordinary — S.R.S. Varadhan in conversation.

*Bhavana*,*1*(4). https://bhavana.org.in/large-deviations-srs-varadhan/

#### Online Articles

- Mohan, R. (2023, October 03). ‘Today, mathematics is not only necessary in daily life but pervasive’.
*The Hindu.*https://www.thehindu.com/sci-tech/science/apoorva-khare-interview-polymath-terence-tao-bhatnagar-award/article67374572.ece - 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/*