Very recently, Yitang Zhang just gave a (virtual) talk about his work on Landau-Siegel zeros at Shandong University on the 5th of November's morning in China. He will also give a talk on 8th Novemb...

Souvenirs mathématiques par Jean-Pierre Serre
Invité par le Centre Bernoulli EPFL
https://bernoulli.epfl.ch
1. Groupes d'homotopie : 1950-1952 https://www.youtube.com/watch?v=J1g11DCnZg4
2. Faisceaux cohérents : 1952-1956 https://www.youtube.com/watch?v=Ssd6IAGNDkI

Nature - After shocking the mathematics community with a major result in 2013, Yitang Zhang now says he has solved an analogue of the celebrated Riemann hypothesis.

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视频内容：
前几天，著名华裔数学家张益唐公开了111页的论文，宣称对朗道-西格尔零点问题获得了重大突破。如果论文最终被证实，那么这可能是张益唐超过孪生素数猜想的更重要的成果。你知道什么是朗道…

Researchers from the Centre for Change and Complexity in Learning at UniSA discuss the complex nature of maths anxiety.

Talk by Zhang Yitang at CUNY Queens College in October 2022. It is about his work on twin prime conjecture (not his recent work on LS Zero), and is aimed at undergraduate students.

Mathematical maturity is a key concept for the professional life of a mathematician. The term "mathematical maturity" is often used by college and university mathematicians. As I have discovered in the last few weeks at PCMI, it is not a common term among…

In this lecture we summarize the Frobenius method in complete generality. We further discuss what happens when the indicial equation has repeated roots, which leads to a significantly more complex form for the second fundamental solution to the ODE. We then…

"Students haven't been taught that math is discovery," says Richard Rusczyk, founder of Art of Problem Solving. "Math is a creative discipline—you're creating castles in the sky." Rusczyk has a vision for bringing “joyous, beautiful math” — and problem-solving…

Sheffer polynomials $\{P_n(x)\}$ have generating function $P(x,t) = \sum_{n=0}^{\infty}P_n(x)t^n=A(t)e^{xu(t)}$.
This form reminds me of the Lie group–Lie algebra correspondence. Is there any conn...

If human beings invented numbers and counting, then how is it that there are numbers such as primes that have attributes no one gave them?

In analytic number theory, the Siegel–Walfisz theorem was obtained by Arnold Walfisz as an application of a theorem by Carl Ludwig Siegel to primes in arithmetic progressions. It is a refinement both of the prime number theorem and of Dirichlet's theorem…

This installment of our "Paths to Math" video series features Julian Chaidez, postdoctoral scholar in the Institute for Advanced Study’s School of Mathematics.

Watch to learn how a formative teacher at Julian’s high school fostered his enthusiasm for math…

To listen to more of Michael Atiyah’s stories, go to the playlist: https://www.youtube.com/playlist?list=PLVV0r6CmEsFzjttuP9WTFDzu0oAOJBM_3

British mathematician Michael Atiyah (1929-2019) studied in Cambridge where he became a Fellow of Trinity College…

Are you looking for a comprehensive mathematical reading list that will spark your curiosity and keep your motivation up throughout the year? Look no further! I have got just the thing.

Watch mathematician, hedge fund manager and philanthropist Jim Simons give a short story of his life and mathematics. This talk was held at an event during the 2022 Abel Prize week, where multiple Abel Laureates as well as other high profile mathematicians…

A visual explanation and definition of manifolds are given. This includes motivations for topology, Hausdorffness and second-countability.

If you want to learn more, check out one of these (or any other basic differential geometry or topology book):

- M.…

an open source textbook and reference work on algebraic geometry