Number theory is not only about finding solutions to the equations, but also about understanding how they are spread out - clustered, distributed. This talk explored these questions and their links to other areas of mathematics.
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In the first talk of the 2025-26 tenure, held in collaboration with Krittika, the Astronomy Club of IIT Bombay, Prof. Kajuri offered deep insights into black holes and their intriguing properties.
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Electrons subjected to the dual effect of a perpendicular magnetic and electric fields show a very curious behaviour known as the Hall Effect. When the applied magnetic field is sufficiently high, the Hall conductance becomes quantised in integer quantities of e^2/h. This quantisation is so precise that it is now used as a universal standard for resistance calibrations! Perhaps surprisingly, this phenomenon seems to have deep connections with electromagnetic gauge invariance and topology!
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Most chess players are familiar with problems of the type “White to play and win in 3 moves”. However, here you will explore a very different genre of chess puzzles, retrograde analysis. Or perhaps, a more accurate description would be: utilising the rich set of chess rules to build interesting logic puzzles!
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