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.