Peter Lawrence Montgomery (September 25, 1947 – February 18, 2020) was an American mathematician who worked at the System Development Corporation and Microsoft Research. He is best known for his contributions to computational number theory and mathematical aspects of cryptography, including the Montgomery multiplication method for arithmetic in finite fields, the use of Montgomery curves in applications of elliptic curves to integer factorization and other problems, and the Montgomery ladder, which is used to protect against side-channel attacks in elliptic curve cryptography. (Wikipedia).
Interview at Cirm: Michael Harris
Michael Harris is an American mathematician who deals with number theory and algebra. He made notable contributions to the Langlands program, for which he (alongside Richard Taylor) won the 2007 Clay Research Award. In particular, he (jointly with Taylor), proved the local Langlands conjec
From playlist English interviews - Interviews en anglais
Mathematics: the next 100 years - Oxford Mathematics Alumni Lecture
How will mathematics develop over coming decades? Impossible to predict? Perhaps, but a glance backwards might prove a fruitful guide. A panel of Oxford Mathematicians pondered past, present and future at our annual Alumni Lecture and found themselves talking not only about maths that we
From playlist Interviews with Oxford Mathematicians
INTERVIEW AT CIRM: PETER SARNAK
Peter Sarnak is a South African-born mathematician with dual South-African and American nationalities. He has been Eugene Higgins Professor of Mathematics at Princeton University since 2002, succeeding Andrew Wiles, and is an editor of the Annals of Mathematics. He is known for his work in
From playlist Jean-Morlet Chair's guests - Interviews
INTERVIEW AT CIRM : MICHAEL ARTIN
Michael ARTIN participated in the "Artin Approximation and Infinite dimensional Geometry" event organized at CIRM in March 2015, which was part of the Jean-Morlet semester held by Herwig Hauser. Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Ins
From playlist Jean-Morlet Chair's guests - Interviews
Opening Remarks and History of the math talks - Peter Sarnak, Hugh Montgomery and Jon Keating
50 Years of Number Theory and Random Matrix Theory Conference Topic: Opening Remarks and History of the math talks Speakers: Peter Sarnak, Hugh Montgomery and Jon Keating Date: June 21 2022
From playlist Mathematics
LMS Popular Lecture Series 2009, Random Matrices and Riemann Zeros, Dr Nina Snaith
Hollywood's Hippest Mathematics: random matrices and Riemann zeros Dr Nina Snaith
From playlist LMS Popular Lectures 2007 - present
On the (unreasonable) effectiveness of compressive imaging – Ben Adcock, Simon Fraser University
This workshop - organised under the auspices of the Isaac Newton Institute on “Approximation, sampling and compression in data science” — brings together leading researchers in the general fields of mathematics, statistics, computer science and engineering. About the event The workshop ai
From playlist Mathematics of data: Structured representations for sensing, approximation and learning
A Deterministic Sample of Bourgain’s Work - Peter Sarnak and Avi Wigderson
Honoring the Life and Work of Jean Bourgain Topic: A Deterministic Sample of Bourgain’s Work Speakers: Peter Sarnak, Avi Wigderson Date: May 31, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
People of Science with Brian Cox - Richard Fortey on Charles Lyell
Richard Fortey talks to Brian Cox about pioneering geologist, Charles Lyell, whose work on extending geological time provided credibility to Darwin’s theory of natural selection. Find out more about Charles Lyell in our Google Arts and Culture exhibit: https://artsandculture.google.com/ex
From playlist People of Science with Brian Cox
People of Science with Brian Cox - Dame Wendy Hall on Alan Turing
Computer Scientist Wendy Hall talks to Brian Cox about one of her personal heroes, Alan Turing, and discusses how his discoveries influenced so much in the modern world. Find out more about Alan Turing in our Google Arts and Culture exhibit: https://artsandculture.google.com/exhibit/peopl
From playlist People of Science with Brian Cox
Alan Turing - Celebrating the life of a genius
Saturday 23 June 2012 marks the centenary of the birth of Alan Turing - mathematical genius, hero of the WWII code breakers of Bletchley Park, and father of modern computing. Alan Turing was a mathematician, cryptographer and pioneer of computer science who possessed one of the greatest
From playlist My Maths Videos
Statistics of the Zeros of the Zeta Function: Mesoscopic and Macroscopic Phenomena - Brad Rodgers
Brad Rodgers University of California, Los Angeles March 27, 2013 We review the well known microscopic correspondence between random zeros of the Riemann zeta-function and the eigenvalues of random matrices, and discuss evidence that this correspondence extends to larger mesoscopic collect
From playlist Mathematics
Jon Keating: Random matrices, integrability, and number theory - Lecture 4
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Jon Keating: Random matrices, integrability, and number theory - Lecture 3
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
The Story of Trigonometry: Revolutions in the Heavens, and on the Earth - Glen Van Brummelen
More videos on http://video.ias.edu
From playlist Friends of the Institute
Lessons from a female entrepreneur | Victoria Montgomery Brown & Charles Duhigg | Big Think Edge
Unfiltered Lessons of a Female Entrepreneur with Victoria Montgomery Brown Moderated by Charles Duhigg ---------------------------------------------------------------------------------- Women today are founding more businesses than ever. In 2018, they made up 40% of new entrepreneurs, ye
From playlist Big Think LIVE
Jon Keating: Random matrices, integrability, and number theory - Lecture 2
Abstract: I will give an overview of connections between Random Matrix Theory and Number Theory, in particular connections with the theory of the Riemann zeta-function and zeta functions defined in function fields. I will then discuss recent developments in which integrability plays an imp
From playlist Analysis and its Applications
Youness Lamzouri: Large character sums
Abstract : For a non-principal Dirichlet character χ modulo q, the classical Pólya-Vinogradov inequality asserts that M(χ):=maxx|∑n≤xχ(n)|=O(q‾√log q). This was improved to q‾√log log q by Montgomery and Vaughan, assuming the Generalized Riemann hypothesis GRH. For quadratic characters, th
From playlist Number Theory
Random Matrix Theory and Zeta Functions - Peter Sarnak
Random Matrix Theory and Zeta Functions - Peter Sarnak Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics February 4, 2014 We review some of the connections, established and expected between random matrix theory and Zeta functions. We also discuss briefly some recen
From playlist Mathematics
The Philosophy of Science - Hilary Putnam & Bryan Magee (1978)
In this program, Hilary Putnam discusses the philosophy of science with Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. Hilary Putnam was an influential American philosopher, as well as a mathematician and computer scientist. As a major figure in analytic
From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)