24:11
Yitang Zhang and The Landau-Siegel Zero Problem in Number Theory [2019] (in Chinese)
Graduate Mathematics
56:09
Peter Sarnak, Summation formulae in spectral theory and number theory [2021]
19:10
Alex Kontorovich - Numbers and Fractals [2017]
1:14:32
Tangles, Bangles and Knots with John Conway [2012]
1:14:39
Fractran: A Ridiculous Logical Language with John Conway [2012]
1:07:11
Peter Scholze (Universität Bonn) - Condensed Mathematics (2019)
1:00:03
Thin groups as monodromy groups, Part I - Jordan Ellenberg (University of Wisconsin-Madison)
1:03:41
Apollonian circle packings via spectral methods - Hee Oh (Yale University)
55:27
Finding L-Functions out of Nothing - David Farmer [2011]
1:01:37
Scott Aaronson - Complexity and computability with closed timelike curves [2018]
1:01:20
Sasaki geometry and positive curvature - Song Sun [2012]
58:57
The Hilbert--Einstein functional and the Sasaki-Futaki invariant - Eveline Legendre [2016]
59:27
Compactness of conformally compact Einstein manifolds in dimension 4 - Sun-Yung Chang [2016]
1:04:37
Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packings [2012]
54:18
Henri Cohen - Introduction to asymptotics of number fields... [2011]
1:01:58
K3 surfaces and elliptic fibrations in number theory - Noam D. Elkies, Harvard University [2018]
55:12
Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]
1:06:43
Akshay Venkatesh - (Derived) moduli of local systems in number theory [2019]
53:29
János Kollár (Princeton): Celestial surfaces and quadratic forms [2018]
44:23
The Role of Mathematics in Philosophy | 2012
58:28
Bjorn Poonen - Cohomological Obstructions to Rational Points [2008]
50:35
William Stein - Kolyvagin's Approach to the Birch and Swinnerton-Dyer Conjecture [2008]
1:01:01
Kevin Buzzard - Ken Ribet and Fermat's Last Theorem [2008]
2:09:31
Index Theory, survey - Stephan Stolz [2018]
1:01:42
Representation Theory as Gauge Theory - David Ben-Zvi [2016]
1:05:58
Simon Donaldson | Applications of the Hormander technique in Kahler-Einstein geometry | 2012
1:28:46
Monotonicity of the Riemann zeta function and related functions - P Zvengrowski [2012]
1:00:23
Sir Michael Atiyah - The Mysteries of Space [1991]
18:09
Vincent Lafforgue - 2019 Breakthrough Prize in Mathematics Laureate
1:31:09
Nonetheless one should learn the language of topos: Grothendieck... - Colin McLarty [2018]
2:02:01
Film Interviews with Leading Thinkers: Neil Turok [2008]
2:03:20
Film Interviews with Leading Thinkers: Ken Moody [2008]
57:35
The rising sea: Grothendieck on simplicity and generality - Colin McLarty [2003]
49:53
Powers as values of polynomials - David (Roger) Heath-Brown [2011]
1:05:59
Disparity in the statistics for quadratic twist families of elliptic curves - Barry Mazur [2011]
8:15
Alan Turing - Celebrating the life of a genius [2012]
1:03:25
Asymptotics of number fields - Manjul Bhargava [2011]
53:59
Film Interviews with Leading Thinkers: Peter Swinnerton-Dyer [2008]
1:59:17
Film Interviews with Leading Thinkers: John Coates [2008]
1:01:00
Extremal metrics on toric manifolds - Gabor Szekelyhidi [2015]
59:55
Developments in 4-manifold topology arising from a theorem of Donaldson's - John Morgan [2017]
46:07
Guofang Wei | Manifolds with integral curvature bounds | 2018
56:29
The Einstein-Hilbert functional and the Sasaki-Futaki invariant - Eveline Legendre [2015]
58:14
Conformal gap theorems of $S^4$ and $CP^2$ - Alice Chang [2017]
57:05
The stabilized symplectic embedding problem - Dusa McDuff [2017]
42:01
Sir Michael Atiyah | The Riemann Hypothesis | 2018
46:00
A positive proportion of plane cubics fail the Hasse principle - Manjul Bhargava [2011]
1:00:21
Cluster Algebras, Landau Singularities, and Scattering Amplitudes - Anastasia Volovich [2018]
1:57:57
Some remarks on symplectic forms (in physics and mathematics) - Leon A. Takhtajan [2018]
1:02:55
Four Color Theorem via Gauge Theory and Three Manifold Topology - Tom Mrowka [2016]
1:03:39
Introduction: connections and characteristic classes - Daniel Ruberman [2014]
1:12:51
The structure of noncollapsed Gromov-Hausdorff limit spaces - Jeff Cheeger [2017]
57:52
Points and Flags - Sir Michael Atiyah [2011]
55:25
HLF Laureate Portraits: Terence Tao
Heidelberg Laureate Forum
55:18
Overview of gauge theory and submanifold geometry on G_2 manifolds - Simon Donaldson [2014]
1:23:28
4-dimensional Models of Nuclei - Sir Michael Atiyah [2011]
1:02:10
Terence Tao: Vaporizing and freezing the Riemann zeta function
Università degli Studi di Milano - Bicocca
1:00:12
Igor Pak (UCLA) - The combinatorics and complexity of integer sequences [2017]
59:56
Topics in Curve and Surface Implicitization, David Cox (Amherst College) [2007]
55:06
Edward Witten - What One Can Hope To Prove About Three-Dimensional Gauge Theory [2012]
44:13
The Biggest Known Prime Number - Keith Conrad [2018]
1:05:51
New perspectives on the Riemann Hypothesis - Andre LeClair (Cornell University) [2016]
1:07:56
Richard Schoen - Positive Mass Theorem in All Dimensions [2018]
1:08:33
S.T. Yau - Geometry of spacetime and mass in general relativity [2018]
1:00:41
A problem in Elementary Geometry - Michael Atiyah [2011]
1:05:20
Sir Michael Atiyah - From Algebraic Geometry to Physics - a Personal Perspective [2010]
1:05:57
Black Hole Horizons and Many Body Quantum Chaos - Herman Verlinde [2017]
52:39
P vs NP and mathematics - Avi Wigderson [ICM 2006]
48:43
Computational Number Theory - Lecture 1/4 by Harris Daniels [CTNT 2018]
49:40
Arithmetic Statistics - Lecture 1/4 by Álvaro Lozano Robledo [CTNT 2018]
50:16
Elliptic curves over finite fields - Lecture 1/4 by Erik Wallace [CTNT 2018]
49:26
Function Field Arithmetic - Lecture 1/4 by Christelle Vincent [CTNT 2018]
50:00
Basic Algebraic Number Theory - Lecture 1/4 by Liang Xiao [CTNT 2018]
51:11
L-functions and the Riemann Hypothesis - Lecture 1/4 by Keith Conrad [CTNT 2018]
49:55
Factoring with Elliptic Curves - Jeremy Teitelbaum [2018]
1:16:32
Nina Snaith - Combining random matrix theory and number theory [2015]
Sir Michael Atiyah Interview [Stony Brook 2011]
59:46
Yanir Rubinstein - Ricci Flow and the Completion of the Space of Kahler Metrics [2011]
59:33
Terence Tao - Long arithmetic progressions in the primes [ICM 2006]
1:04:05
Toshiki Mabuchi - On the existence problem of external Kahler metrics [2011]
1:03:42
Peter Sarnak - Zeta and L-functions [ICM 1998]
59:13
Ricci Curvature: Some Recent Progress and Open Questions - Jeff Cheeger [2016]
1:03:33
Ricci Curvature, Convexity and Applications - Aaron Naber [2011]
1:00:18
Emmy Noether Lecture: Variations on Conservation Laws - Cathleen Morawetz [ICM 1998]
1:05:41
Simon Donaldson - Introduction to Differential geometry on toric varieties [2013]
1:01:17
The Kahler-Ricci flow, Ricci-flat metrics and collapsing limits - Ben Weinkove [2015]
48:45
Persi Diaconis - From Shuffling Cards to Walking Around the Building [ICM 1998]
1:00:05
Monge-Ampere equations on complex manifolds - Ben Weinkove [2015]
1:02:09
Some analogies between number theory and dynamical systems - Christopher Deninger [ICM 1998]
1:05:53
Richard Taylor - Galois representations, L-functions, motives and modular forms [ICM 2002]
2:00:46
ICM 2006 Round Table
1:08:59
Richard Hamilton | The Poincare Conjecture | 2006
1:02:00
Comparison geometry for Ricci curvature II, Guofang Wei [2016]
51:46
Comparison geometry for Ricci curvature I, Guofang Wei [2016]
20:58
Kazuya Kato - Iwasawa theory and generalizations [ICM 2006]
35:32
Remembrances/Tributes to Atle Selberg 1/3 [2008]
48:16
Enrico Bombieri - Prime Numbers from Eratosthenes to Selberg [2008]
40:41
Peter Sarnak - The Selberg Integral, Rankin Selberg Method, Arithmeticity [2008]
42:12
James Arthur - Recent History of the Trace Formula [2008]
54:53
John Friedlander - Selberg and the Sieve; a Positive Approach [2008]
53:31
Kannan Soundararajan - Selberg's Contributions to the Theory of Riemann Zeta Function [2008]
57:04
John Coates: (1/4) Classical algebraic Iwasawa theory [AWS 2018]
59:36
Yuri Matiyasevich - On Hilbert's 10th Problem [2000]
1:01:04
John Friedlander - Selberg and the sieve: a positive approach [2008]
1:11:43
Andrew Wiles | Twenty Years of Number Theory | 1998
18:59
Grobner Bases - Bernd Stumfels [1998]
22:18
Bill Thurston - New Geometries [1998]
48:08
Selling Real Estate in Hyperbolic Space - Mel Slugbate (Colin Adams) [1996]
58:40
Harold Stark - The origins of conjectures on derivatives of L-functions at s=0 [1990’s]
54:51
Alan Turing and Number Theory - Yuri Matiyasevich (St. Petersburg) [2012]
46:34
The Poincaré Conjecture (special lecture) John W. Morgan [ICM 2006]
18:12
The Work of Grigory Perelman - John Lott [ICM 2006]
52:41
Terence Tao - Recent progress in additive prime number theory [2009]
59:21
Terence Tao - Finite time blowup constructions for supercritical equations [2017]
53:39
Terence Tao - The Erdős discrepancy problem [2017]
1:03:01
Dennis Gaitsgory - Tamagawa Numbers and Nonabelian Poincare Duality, II [2013]
1:00:29
Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]
1:02:49
Peter Sarnak - Nodal domains of eigenmodes of the Laplacian and of random functions [2013]
2:27:51
Recollections of I.M. Gelfand [2013]
45:37
Trevor Wooley - Translation invariance, exponential sums, and Waring's problem [ICM 2014]
1:02:23
Larry Guth (MIT) - 1/3 Introduction to decoupling [MSRI 2017]
Larry Guth (MIT) - Introduction to decoupling [Clay Research Conference 2017]
57:59
2015 Shaw Prize: Gerd Faltings, Henryk Iwaniec, and Q&A [2015]
56:50
Panagiota Daskalopoulos: 1/3 Ancient Solutions to Geometric Flows [2017]
17:07
Benoit Mandelbrot - Fractals and the art of roughness [HD] [2010]
2:35
Twin Prime Gap Explained [2014]
1:04:16
Tobias Colding (MIT): 1/3 Geometric heat equations [Coxeter Lecture Series 2017]
48:47
Jean Bourgain - Exponential sums, equidistribution and pseudo randomness [2008]
52:30
Peter Sarnak - Substitution Sequences at Primes [2008]
1:08:07
Spencer Bloch 1/3 - Mixed Motives [1991]
46:19
The ABC Conjecture, Brian Conrad (Stanford) [2013]
56:25
J.P. Serre - How to write mathematics badly [2007]
Ian Petrow (ETH Zürich) 1/4 - Kloostermania [2017]
52:07
Philippe Michel, Introductory talk on Analytic Number Theory
44:01
Will Sawin (ETH Zürich) - Trace functions and special functions [2017]
59:04
Gergely Harcos - A glimpse at arithmetic quantum chaos
49:18
Terence Tao - Large and Small Gaps in the Primes [2015]
1:03:08
Aaron Naber - The Geometry of Ricci Curvature [2012]
1:14:46
Isadore Singer- 1. Index Theory Revisited [1996]
1:07:53
The early days of Langlands' conjectures - Bill Casselman (University of British Columbia) [2016]
58:38
Robert Langlands 1/3 - Automorphic Forms and Diophantine Equations [1992]
1:06:07
Can't you just feel the Moonshine? - Ken Ono (Emory University) [2017]
49:04
Breaking Enigma the first time, David Saltman (Center for Communications Research) [2016]
17:22
Robert Langlands on Harish-Chandra [2014]
36:31
Robert Langlands - "The Elephant" [2001]
1:02:42
Henryk Iwaniec, Spectral Theory of Automorphic Forms and Analytic Number Theory [2001]
1:08:35
The Bombieri-Vinogradov theorem (1/6) Kannan Soundararajan (Stanford) [2015]
56:33
Euclidean and Algebraic Geometry, David Cox [2014]
1:29:59
Kevin Buzzard (lecture 1/20) Automorphic Forms And The Langlands Program [2017]
1:13:28
Mathematics as a New Way of Thinking by Edward Frenkel
1:03:59
Michael Singer - Walks, Difference Equations and Elliptic Curves [2017]
Christian Krattenthaler - Determinants and Pfaffians in Enumerative Combinatorics (2011)
1:15:22
Cédric Villani: Lecture for Students [2014]
1:02:01
Maxim Kontsevich: What is tropical mathematics? [2013]
Peter Scholze - Closing lecture, Arizona Winter School 2017: Perfectoid Spaces
1:04:25
Peter Scholze - Opening lecture, Arizona Winter School 2017: Perfectoid Spaces
1:01:21
Aaron Naber - L2 Curvature Bounds on Manifolds with Bounded Ricci Curvature [2016]
1:28:29
Aaron Naber - Introduction to Yang Mills Theory 1 [2017]
1:35:53
"Automorphic L-functions and monoids" Ngô Bảo Châu, University of Chicago [2014]
24:48
"Some Unsolved Problems" Richard Guy, The University of Calgary [2013]
39:18
"Numerical evidence for the Bruinier-Yang conjecture" Kristin Lauter, Microsoft Research [2011]
1:39:18
"On the stable trace formula" James Arthur, University of Toronto [2014]
16:17
"Euler and the Law of Small Numbers" Richard Guy, The University of Calgary [2015]
1:01:57
"Introduction to p-adic harmonic analysis" James Arthur, University of Toronto [2008]
50:30
"Concatenation theorems for the Gowers uniformity norms, and applications" Terence Tao [2015]
2:21:40
PUBLIC OPENING featuring Cédric Villani: The Many Facets of Entropy [2014]
1:04:39
David Morrison - WHAT IS … F-theory? [2014]
57:13
David Morrison: How Much Mathematics Does a Theoretical Physicist Need to Know? [2005]
1:18:14
Michael Atiyah: A Geometer Explores the Universe 1/3 [2010]
57:39
Xiaoheng Wang: Density of polynomials with squarefree discriminant
59:09
Kiran Kedlaya: Bhargava's results on pp-adic analytic functions [2016]
1:01:45
Barry Mazur: Arithmetic statistics for modular symbols
1:03:03
Peter Sarnak: Integral points on Markoff type cubic surfaces [2016]
54:36
Benedict Gross: Rational points on hyperelliptic curves [2016]
50:05
Effective index estimates via Euclidean isometric embeddings - Alessandro Carlotto
48:24
Igor Pak - Computability and Enumeration [2016]
1:07:45
What is the Birch and Swinnerton-Dyer Conjecture? - Manjul Bhargava [2016]
49:48
William Minicozzi (MIT) - Mean Curvature Flow [2016]
57:32
Lillian Pierce "p-torsion in class groups of number fields of arbitrary degree" [2016]
1:09:45
Jordan Ellenberg - Geometric analytic number theory [February 06, 2017]
1:12:22
Michael Atiyah, Seminars Geometry and Topology 1/2 [2009]
1:25:24
"New Paradigms in Invariant Theory" - Roger Howe, Yale University [2011]
1:36:41
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]
1:12:46
Michael Atiyah, Three -dimensional solitons [2005]
1:05:33
Yitang Zhang | Bounded gaps between primes | 2014
1:07:18
Ngo Bao Chau, Recent works inspired by Langlands' paper "Beyond endoscopy" [2012]
1:03:09
The Birch and Swinnerton-Dyer Conjecture [Millennium Prize, Official Problem Introduction] [2001]
35:18
An Intuitive Introduction to Motivic Homotopy Theory - Vladimir Voevodsky [2002]
1:13:11
The Riemann Hypothesis - Jeff Vaaler [Millennium Prize Problem, Official Introduction] [2001]
30:23
Analytic Number Theory with Sage - Kamalakshya Mehatab
24:46
What is the ham sandwich theorem?
27:56
Mireille Bousquet Melou - Exactly solvable models of self-avoiding walks
Two-dimensional Self Avoiding Walks - Mireille Bousquet-Melou (2014)
41:17
Primes, exponential sums, and L functions - William Banks (2016)
1:14:59
Elementary Introduction to the Langlands Program, by Edward Frenkel (Part 1) [2015]
1:01:18
Richard Stanley - Increasing and decreasing subsequences (2006)
57:46
The birth of new domain: Combinatorial Physics -Xavier Viennot [2015]
59:03
v1258
45:28
The Green-Tao theorem and a relative Szemeredi theorem - Yufei Zhao
