The Department of Mathematics commemorated National Mathematics Day on December 20, 2024, with a remarkable event honouring the birth anniversary of the legendary mathematician Srinivasa Ramanujan. The celebrations encapsulated Ramanujan’s works, achievements, and the significance of mathematics in everyday life through various guest talks, programmes, and a movie screening.

Chief guest Prof. Rajat Tandon, Retired Professor from Hyderabad Central University, delivered the keynote session underscoring the significance of the subject and recognising its widespread applications in technology, engineering, economics, healthcare, and beyond. Dr Sazzad Ali Biswas, Assistant Professor from the Department of Mathematics, SRM AP, also elucidated exploring the world of mathematics and the myriad of opportunities that lie within academia, industry, and research.

The National Mathematics Day Celebrations also featured a movie screening of the Oscar-winning film A Beautiful Mind, a biographical drama about the mathematician John Nash, a Nobel Laureate in Economics. The film engaged students in a deep exploration of mathematics and inspired them to achieve excellence in the field.

The Department of Mathematics at SRM University-AP hosted a successful Faculty Development Programme (FDP) on Algebra, Analysis, and Number Theory (AAN–2024) from December 16 to 20, 2024. This initiative aimed to strengthen faculty expertise in foundational mathematical disciplines essential for undergraduate (UG) and postgraduate (PG) education while also promoting effective teaching strategies.

Held online via Zoom, the programme attracted over 500 interested participants from across India, although due to platform capacity, 480 were accommodated. The FDP featured a series of keynote lectures by distinguished speakers focusing on core areas of mathematics.

Prof. V Kannan delivered an extensive session on analysis, discussing key theorems such as the Bolzano-Weierstrass theorem, the Intermediate Value Theorem, and the Heine-Borel theorem. The theoretical insights were complemented by tutorial sessions led by research scholars Mr Priti Prasanna Mondal and Ms Athulya P, who assisted participants in reinforcing their understanding through practical examples.

In the realm of number theory, Prof. Kalyan Chakraborty’s engaging lectures covered topics including plane curves, rational points, and elliptic curves, emphasising their importance and applications. Tutorial sessions by Dr Arkabrata Ghosh and research scholar Ms Leena Mondal supported these discussions with additional insights.

Dr Subha Sandeep Repaka presented comprehensive lectures on algebra, detailing concepts such as the structure of cyclic groups, Lagrange’s theorem, and Sylow’s theorems. These sessions were paired with tutorials that helped participants apply and solidify their knowledge.

Under the leadership of Convenor Dr Sandeep Kumar Verma and Co-Convenors Dr M Radhakrishnan and Dr G Damodar Reddy, the FDP offered valuable insights into advanced mathematical topics and innovative pedagogical approaches. Dr. Verma expressed gratitude for the overwhelming response, stating, “It was a privilege to organise this FDP, bringing together experts and participants to explore the depths of algebra, analysis, and number theory. This programme has served as a platform for knowledge exchange, fostering collaboration and growth in the field.”

The programme marked a significant step towards enhancing mathematics education and research, inspiring participants to incorporate new ideas and methodologies in their academic endeavours.

The Department of Mathematics hosted its 9th Distinguished Lecture, “PDE through Fourier” on September 18, 2024. The speaker, Prof. Mythily Ramaswamy, a renowned scholar in the fields of partial differential equations, control theory, and fluid dynamics addressed a crowd of faculty members, PhD students, MSc students, and attendees from various other Departments.

Prof. Mythily Ramaswamy’s lecture delved into the intricate development of partial differential equations (PDE) as influenced by the groundbreaking work on heat conduction by Fourier in the early 19th century. Prof. Ramaswamy, skillfully traced the history of Fourier’s discovery, leading to the formulation of the Fourier Series—a fundamental aspect of solving PDEs. She also explored modern developments in Fourier analysis and its vital applications in the realm of PDEs.

Prof. Mythily is currently serving as a NASI Senior Scientist at the International Centre for Theoretical Sciences (ICTS-TIFR) in Bengaluru, she has held significant positions such as Dean at the TIFR Centre for Applicable Mathematics. A recipient of the prestigious P C Mahalanobis Medal from the Indian National Science Academy, Prof. Ramaswamy is recognised for her substantial contributions to nonlinear functional analysis and optimal control, and she takes pride in mentoring the next generation of mathematicians.

Following the lecture, a lively 15-minute Q&A session provided attendees the opportunity to engage with Prof. Ramaswamy. Participants raised thoughtful questions, which sparked invigorating discussions on the applications of PDEs and the pivotal role of Fourier analysis in modern mathematics. The speaker’s valuable insights enriched the audience’s understanding and prompted further interest in the subject.

The event was deemed a resounding success, significantly enriching the academic experience of all participants. Both PhD students and faculty members gleaned crucial knowledge from Prof. Ramaswamy’s expertise, enhancing the intellectual atmosphere of the university. This lecture is poised to positively impact the institution’s academic reputation and foster future research collaborations. The Department of Mathematics looks forward to hosting more events that contribute to the vibrant academic community.

On October 4, 2024, Department of Mathematics at SRM University-AP hosted its 10th Distinguished Lecture, featuring renowned mathematician and educator Prof. R Ramanujam. The event attracted a diverse audience, including BSc and BTech students, PhD candidates, and faculty members, all eager to engage with the critical topic of mathematics and science education for students from socially and economically marginalised backgrounds.

Prof. Ramanujam’s lecture posed a thought-provoking question: “What do mathematics and science education mean to a student from socially and economically marginalised sections?” Drawing from his extensive experience in various educational contexts, he provided valuable insights into the intersection of education and social equity. His work with the Tamil Nadu Science Forum, government curriculum bodies, and teacher education programs at Azim Premji University in Bengaluru informed his perspective on the necessity of aligning educational practices with the realities faced by marginalised communities.

During his talk, Prof. Ramanujam emphasised the importance of conducting educational research that is deeply rooted in social contexts. He argued that curriculum-making decisions should be informed by such research to ensure that education is socially inclusive and responsive to the unique challenges faced by disadvantaged students. His advocacy for an education system that addresses the needs of all learners resonated strongly with the audience, highlighting the potential for education to serve as a transformative force in society.

Prof. R Ramanujam is a distinguished figure in the fields of mathematics and education. He completed his PhD at the Tata Institute of Fundamental Research (TIFR) and pursued postdoctoral work at the City University of New York (CUNY), USA. His long-standing association with the Institute of Mathematical Sciences (IMSc) in Chennai and his current role as a visiting professor at Azim Premji University further underscore his commitment to advancing educational practices.

The lecture provided a stimulating exploration of how mathematics and science education can help address social inequalities. Prof. Ramanujam’s reflections on education, grounded in his experiences with marginalised communities, left a lasting impact on attendees. The event concluded with an engaging Q&A session, where participants raised questions about the challenges of implementing socially rooted educational reforms. This discussion reinforced the lecture’s key themes of inclusivity and the transformative potential of education when designed to meet the diverse needs of learners.

The 10th Distinguished Lecture at SRM University-AP not only highlighted the importance of educational equity but also inspired dialogue on how institutions can better serve all students, particularly those from marginalized backgrounds.

The Department of Mathematics, SRM University-AP, is pleased to announce that Assistant Professor Dr Subha Sandeep Repaka has published a significant research paper titled “On Reducibility of Induced Representations of Odd Unitary Groups: The Depth Zero Case.” This accomplishment reflects Dr Repaka’s expertise and dedication to advancing mathematical research, further enriching the academic contributions of the department and the university.

Abstract:

We study a problem concerning parabolic induction in certain $p$-adic unitary groups. More precisely, for $E/F$ a quadratic extension of $p$-adic fields the associated unitary group $G=\mathrm{U}(n,n+1)$ contains a parabolic subgroup $P$ with Levi component $L$ isomorphic to $\mathrm{GL}_n(E) \times \mathrm{U}_1(E)$. Let $\pi$ be an irreducible supercuspidal representation of $L$ of depth zero. We use Hecke algebra methods to determine when the parabolically induced representation $\iota_P^G \pi$ is reducible.

Future Research Plans:

We would like to solve the same problem which I had solved in this paper for the groups U(n,n) and U(n,n+1) over p-adic fields using L-Functions which is a very novel approach.

The link to the article:

http://nyjm.albany.edu/j/2024/30-50.html