BR Maths Corner-1

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Amber G.
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Posts: 11146
Joined: 17 Dec 2002 12:31
Location: Ohio, USA

Re: BR Maths Corner-1

Post by Amber G. »

Amber G. wrote: 19 May 2025 09:53 Just realized, Nicușor Daniel Dan , Romania's new president won IMO gold medals in two years and perfect scores. Probably a first.
Sharing:
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Nicuşor Dan, Romania’s president and a two-time International Mathematics Olympiad gold medallist.

Nicușor Dan, is a fascinating figure — a former math prodigy who scored perfect marks twice at the International Math Olympiad. He’s known not just for his sharp analytical mind, but also for being down-to-earth and thoughtful. (Heard him a few years ago - and liked it - seems to combine deep mathematical thinking with a practical sense of human nature, which is rare)

His election reminds me of another leader (only I can recall) with a strong math background — Lee Hsien Loong of Singapore, who was Senior Wrangler at Cambridge.

More: Nicușor Dan, the maths prodigy who beat an ultranationalist for Romanian presidency
Vayutuvan
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Posts: 13740
Joined: 20 Jun 2011 04:36

Re: BR Maths Corner-1

Post by Vayutuvan »

https://ramanujanexplained.org/

Came across the above interesting website founded by Gaurav Bhatnagar
First Lecture

Abstract
We begin our study of Ramanujan’s identities. The Rogers-Ramanujan identities appear Chapter 16 of Volume 3 of Berndt’s Ramanujan’s notebooks. One of the key results is the q-binomial theorem. We will begin with a discovery approach to the binomial theorem and then give Ramanujan’s own proof of the q-binomial theorem. Ramanujan developed hypergeometric series in an earlier chapter, so chances are that he was motivated to find a more general series with an additional parameter.
Amber G.
BRF Oldie
Posts: 11146
Joined: 17 Dec 2002 12:31
Location: Ohio, USA

Re: BR Maths Corner-1

Post by Amber G. »

Big congrats to Eshan Chattopadhyay and David Zuckerman for winning the 2025 Gödel Prize! Their groundbreaking research on explicit two-source extractors is a game-changer in theoretical computer science. Eshan, an Indian-origin professor at Cornell University, and David, a professor at UT Austin, have made significant contributions to pseudorandomness and computational complexity. Their work has opened up new avenues in randomness extraction and Ramsey graphs. Cheers to their achievement! #GodelPrize #ComputerScience #Mathematics

Link:The 2025 Gödel Prize has been awarded to Eshan Chattopadhyay and David Zuckerman.
Vayutuvan
BRF Oldie
Posts: 13740
Joined: 20 Jun 2011 04:36

Re: BR Maths Corner-1

Post by Vayutuvan »

https://www.youtube.com/watch?v=e4kOh7qlsM4

~ 29 min video on Riemann Hypothesis. Totally self-contained (including a quick 5 min introduction to complex number plane) with lovely animations.
What is the Riemann Hypothesis REALLY about?

HexagonVideos
674,508 views Dec 12, 2022

Solve one equation and earn a million dollars! We will explorer the secrets behind the Riemann Hypothesis - the most famous open problem in mathematics - and what it would tell us about prime numbers.

I should have mentioned one additional property, namely zeros are mirrored along the line 1/2, even though non of them are found and maybe even non of them even exist. This way, every zero not on the line would give a harmonic with Re(s) greater than 1/2, thereby breaking the estimates for the prime counting function.
Amber G.
BRF Oldie
Posts: 11146
Joined: 17 Dec 2002 12:31
Location: Ohio, USA

Re: BR Maths Corner-1

Post by Amber G. »

The 66ᵗʰ International Mathematical Olympiad (IMO) 2025:

-Taking place July 10–20, 2025, with official events beginning July 10 and contest days on July 15–16
- Hosted in Sunshine Coast, Queensland, Australia, at the Sunshine Coast Convention Centre.
At present the official IMO site confirms the country registrations but doesn’t list exact participant numbers. India and US both are taking part, but their team member names are not 'officially' announced yet on the the website(s) - both International and local/national official sites. (Wish they kept it more up-to-date). India's team was selected around end of May (after HBCSE Training Camp). I wished the list should have been public by now.

(Good luck and best wishes to Archit Manas, Able, Kanav, Adhitya, Aarav and Adish. - Picture Credit - SM of a friend)
Image

Both teams are particularly strong. (in 2024, Team USA scored 192 points, securing 1st place)
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