Explore sharp Fourier restriction estimates for the parabola and cubic monomial curves in this advanced mathematics lecture. Delve into the latest developments in harmonic analysis, focusing on polynomial methods and their applications to Fourier restriction problems. Gain insights into the techniques used to establish optimal bounds for these specific geometric objects, and understand their significance in the broader context of harmonic analysis and related fields. Learn from expert mathematician Chandan Biswas as he presents cutting-edge research and methodologies in this second lecture of the series, part of the "Modern Trends in Harmonic Analysis" program at the International Centre for Theoretical Sciences.