The Abel Prize
The Abel Prize ceremony 2026
updated
Bjørn Ian Dundas is a professor of mathematics at University of Bergen, (UiB) Norway. Christian Fredrik Skau is a professor emeritus of mathematics at the Norwegian University of Science and Technology, NTNU, Trondheim, Norway.
The written transcript of this interview is also base for an article in the European Mathematical Society Magazine. euromathsoc.org/magazine
Produced by Gyro AS.
https://abelprize.no/
Sir Martin Hairer is an Austrian-British mathematician working in the field of stochastic analysis, in particular stochastic partial differential equations. He is Professor of Mathematics at EPFL (École Polytechnique Fédérale de Lausanne) and at Imperial College London.
Sourav Chatterjee is an Indian mathematician, specializing in mathematical statistics and probability theory.
Alice Guionnet is a French mathematician known for her work in probability theory, in particular on large random matrices.
Assaf Naor is an Israeli American and Czech mathematician, computer scientist, and a professor of mathematics at Princeton University.
Produced by: Eivind Lotsberg
Ursula Hamenstädt is a German mathematician who works as a professor at the University of Bonn. Her primary research subject is differential geometry.
The Abel lectures were held in Georg Sverderups hus at the campus of the University in Oslo on the 22th of May 2024
The Abel lectures were held in Georg Sverderups hus at the campus of the University in Oslo on the 22th of May 2024
The Abel lectures were held in Georg Sverderups hus at the campus of the University in Oslo on the 22th of May 2024
H.R.H. Crown prince Haakon awarded Michel Talagrand the Abel Prize in the University Aula in Oslo on the 21st of may. The musical ensemble "Salo Mortale" performed various french musical pieces and the young prodigy Victoria Maria Kan Selvik preformed on the double bass with an accompanying grand piano.
Produced by: Gyro
The Abel lectures were held in Georg Sverderups hus at the campus of the University in Oslo on the 22th of May 2024
The Abel Prize of 2024 awarded by the Norwegian Academy of Science and Letters, on behalf of the Ministry of Education to Michel Talagrand.
For an in-depth perspective on Michel Talagrand and his groundbreaking contributions, visit the official website of the Abel Prize at abelprize.no.
Produced by: GYRO
Filmography: Derek Stothers
Director: Erlend Gjertsen
Produced by Gyro for The Norwegian Academy of Science and Letters / Abel Prize © 2023
Produced by: Eivind Lotsberg
0:00 What is your relationship with The Abel Prize?
0:30 What do you find interesting about Talagrand's work?
1:26 What got you started as a maths teacher?
2:12 What keeps you coming back to mathematics?
3:15 Why do mathematical errors interest you?
4:30 How do you make abstract mathematics comprehensible?
5:26 What makes mathematics fun for you?
6:08 What are the benefits of different ways of communicating maths?
7:40 Any tips for aspiring maths communicators?
Who will be this year's recipient(s) of The Abel Prize?
Watch the announcement 20th of March 12.00 (GMT/UTC + 1) on The Abel Prize YouTube channel.
For more information about Michel Talagrand, the 2024 Abel Laureate, visit abelprize.no
Link: http://www.abelprize.no
Who will be this year's recipient(s) of The Abel Prize?
Watch the announcement 20th of March 12.00 (GMT/UTC + 1) on The Abel Prize YouTube channel.
For more information about Michel Talagrand, the 2024 Abel Laureate, visit abelprize.no
Link: http://www.abelprize.no
#abelprize2024 #abelprize #mathematics #science #norway #math #france #academy #academia #prize
Produced by: Eivind Lotsberg
#shorts #mathematics #maths #science
Daniel Ioan Tătaru is a Romanian mathematician at University of California, Berkeley.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Probably the main advantage of this variational regularity theory over the one based on maximum principle — and attached to the name of Caffarelli — is that it does not require any regularity of the involved measures. Hence it can be applied to the popular matching problem, where it provides regularity on large scales
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Gigliola Staffilani is an Italian-American mathematician who works as the Abby Rockefeller Mauze Professor of Mathematics at the Massachusetts Institute of Technology. Her research concerns harmonic analysis and partial differential equations, including the Korteweg–de Vries equation and Schrödinger equation.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Jalal M. I. Shatah is a Silver Professor of Mathematics at Courant, New York University. His research focuses on the problem of global existence and asymptotic behavior of small solutions to nonlinear hyperbolic and dispersive equations.
The YouTube description does not allow for correct formating. Please visit the webpage below for a correctly formated summary:
https://www.ntnu.edu/imf/abel2023/schedule
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Patrick Gérard is a French mathematician interested in partial differential equations, in particular microlocal analysis, control theory and nonlinear dispersive equations in connection with the notion of weak turbulence.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Emergence is a phenomenon of formation of collective outcomes in systems where communication between agents has local range. For a wide range of applications, such as swarming behavior of animals or exchange of opinions between individuals, such outcomes result in a globally aligned state or congregation of aligned clusters. The classical result of Cucker and Smale states that alignment is unconditional in flocks that have global communication with non-integrable radial tails. Proving a similar statement for purely local interactions is a challenging mathematical problem. In this talk we will overview three programs of research directed on understanding the emergent phenomena: statistical approach to generic alignment for agent-based systems, kinetic approach based on relaxation and hypocoercivity, and hydrodynamic models incorporating a novel way of interaction based on topological communication.
Roman Shvydkoy is a professor of mathematics at University of Illinois at Chicago. His research interests include fluid dynamics, Euler, Navier-Stokes systems; Non-local parabolic equations; Collective behavior, emergent dynamics, flocking; Turbulence, Onsager conjecture, convex integration, vanishing viscosity limit; Instability in ideal fluids, linearization method, WKB analysis, geometric optics; Spectral theory, pseudo-differential, harmonic and functional analysis.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
We construct a sequence of energy functionals Ej(t), directly in the physical space, that involves material derivatives of order j of the solutions for the 2d water wave equation, so that ddtEj(t) is quintic or higher order.
We show that if some scaling invariant norm, and a norm involving one spatial derivative above the scaling of the initial data are of size no more than ε, then the lifespan of the solution for the 2d water wave equation is at least of order O(ε−3), and the solution remains as regular as the initial data during this time. If only the scaling invariant norm of the data is of size ε, then the lifespan of the solution is at least of order O(ε−5/2).
Our long time existence results do not impose size restrictions on the slope of the initial interface and the magnitude of the initial velocity, they allow the interface to have arbitrary large steepnesses and initial velocities to have arbitrary large magnitudes.
The YouTube description does not allow for correct formating. Please visit the webpage below for a correctly formated summary:
https://www.ntnu.edu/imf/abel2023/schedule
Sijue Wu is a Chinese-American mathematician who works as the Robert W. and Lynne H. Browne Professor of Mathematics at the University of Michigan. Her research involves the mathematics of water waves.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Adrian Constantin is a Romanian-Austrian mathematician who does research in the field of nonlinear partial differential equations. He is a professor at the University of Vienna and has made groundbreaking contributions to the mathematics of wave propagation.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
Conducted by journalist Torkild Jemterud at Norwegian Broadcasting Corporation (NRK) in collaboration with science communicator Unni Irmelin Kvam for the Abel Prize / The Norwegian Academy of Science and Letters.
Related: Wigderson's lecture at HLF 2022: Imitation Games
heidelberg-laureate-forum.org/video/lecture-imitation-games.html?fbclid=IwAR0KgMlpK8RYpOpJ34BbwnY0WR2iieImRwKm212zvzqLaZx_DAvkW4BIvuE
heidelberg-laureate-forum.org/laureate/avi-wigderson.html?fbclid=IwAR0_iv5Oli_ovyPkH41xP5BDfGLR_DOsBo87G9r3CPXL5sEXtSJXRzPYSUM
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We aim to provide accurate subtitles in this video, partly helped by machine generated captions, as well as humans listening in. A person with in-depth mathematical knowledge has consulted during the editing process due to use of mathematical terms.
The accuracy of machine generated captions varies depending on the audio quality, topic and speaker and therefore are unlikely to be 100% accurate.
We therefore ask you please to not rely solely on the captions when viewing this video content. We are sorry for any unintentional mistakes made by the editors in this interview. // DNVA
We introduce non-local fractional diffusion and evolution processes modeling diverse structures in the formation of free boundary problems and diffusion phenomena arising, for instance, from the evolution of energy-partition methods, involving a regularizing mechanism such as local and fractional free energies and convex-like potentials.
The applications are abundant in natural sciences and engineering structures, stochastic processes in financial modeling and beyond.
This lecture was held by Luis Caffarelli at The University of Oslo, May 24, 2023 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.
Program for the Abel lectures 2023:
1. Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
2. Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
3. Alessio Figalli: "From elastic membranes to ice melting"
4. Luis Silvestre: "Fully nonlinear elliptic equations and applications"
Helge Holden is a Norwegian mathematician working in the field of differential equations and mathematical physics. He was president of the Royal Norwegian Society of Sciences and Letters from 2014 to 2016. In 2014 he became Chairman of the board of the Abel Prize fund. He was elected Secretary General of the International Mathematical Union (IMU) for the period 2019–2022, and is currently the Chair of the Abel Prize Committee.
Luis Silvestre is a professor at the University of Chicago.
Alice Guionnet is a French mathematician known for her work in probability theory, in particular on large random matrices.
Ulrike Luise Tillmann is a mathematician specializing in algebraic topology, who has made important contributions to the study of the moduli space of algebraic curves. She was the president of the London Mathematical Society in the period 2021–2022, and currently serves in the Abel Prize Committee.
Irene Gamba is an Argentine–American mathematician. She works as a professor of mathematics at the University of Texas at Austin, where she holds the W.A. Tex Moncrief, Jr. Chair in Computational Engineering and Sciences and is head of the Applied Mathematics Group in the Institute for Computational Engineering and Sciences.
Program for the Abel lectures 2023:
1. Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
2. Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
3. Alessio Figalli: "From elastic membranes to ice melting"
4. Luis Silvestre: "Fully nonlinear elliptic equations and applications"
Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations. He was awarded the Prix and Cours Peccot in 2012, the EMS Prize in 2012, the Stampacchia Medal in 2015, the Feltrinelli Prize in 2017, and the Fields Medal in 2018.
Program for the Abel lectures 2023:
1. Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
2. Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
3. Alessio Figalli: "From elastic membranes to ice melting"
4. Luis Silvestre: "Fully nonlinear elliptic equations and applications"
Sylvia Serfaty is a French mathematician working in the United States. She won the 2004 EMS Prize for her contributions to the Ginzburg–Landau theory, the Henri Poincaré Prize in 2012, and the Mergier–Bourdeix Prize of the French Academy of Sciences in 2013.
Program for the Abel lectures 2023:
1. Luis A. Caffarelli: "Non-linear and non-local surface structure problems and some of its applications"
2. Sylvia Serfaty: "From diffusions to fluid equations: the question of regularity"
3. Alessio Figalli: "From elastic membranes to ice melting"
4. Luis Silvestre: "Fully nonlinear elliptic equations and applications"
Contributors:
Master of Ceremonies: Nadia Hasnaoui
President of The Norwegian Academy of Science and Letters: Lise Øvreås
Chair of the Abel Committee: Helge Holden
Musicians:
Per Arne Glorvigen (bandoneon)
Birgitta Elisa Oftestad (cello)
Oscar Abel Valand Halvorsen (piano)
Production by Gyro AS.
0:15 Edvard Grieg: Morning mood. Performed by Birgitta Elisa Oftestad (cello) and
Oscar Abel Valand Halvorsen (piano)
3:55 Nadia Hasnaoui introduces Lise Ovreaas, president of the Norwegian Academy of Science and Letters.
7:37 Cesar Franck Violin Sonata Fourt Movement: Allegretto poco mosso
14:20 Nadia Hasnaoui introduces Chair of the Abel Committee Helge Holden
17:19 Luis Caffarellis life in Texas
21:42 Helge Holden presents the citation from the committee
27:18 His Majesty King Harald presents the Abel Prize to Luis Caffarelli
28:03 Acceptance speach by Luis Caffarelli
32:28 Eduardo Arolas: El Marne. Performed by Per Arne Glorvigen.
35:58 Lise Ovreaas
37:53 Bandoneonimprovisation on Prelude in G (Bach/Glorvigen). Performed by Glorvigen and Oftestad
41:51 Prosession and "Abelfanfare" by Lyder Øvreås Røed
4:44 Space according to the prescription
5:26 What can be deformed and pushed, in homotopy theory, in the homotopy type as opposed to the actual manifold?
7:10 With the surgery exact sequence?
7:40 Milnors influence on the area - combinatorial manifold case
9:44 Hauptvermutung
11:45 Obstruction group in dimension four
12:32 Galois group and the study of manifolds
14:56 How can we view manifolds? As we would view algebraic varieties?
16:56 Poincaré moments
17:36 Fascinating experience during PHD oral exam
20:58 Have you had any similar insights in your other areas of study?
22:10 The Adams conjecture and the MIT notes
26:36 The rational homotopy theory
28:00 Cohomology determines the entire rational type, eg. Kähler manifolds
30:41 Dynamical systems and their importance in studying manifolds. Impact of Denjoy, Herman and Yoccoz
37:42 Influence of Feigenbaum
40:15 The non-wandering-domain theorem
41:40 Dictionary
47:44 Is there some type of mathematics that you don’t like?
48:10 You promised to replace Newton’s calculus by Poincaré’s combinatorial topology
54:50 Is Navier–Stokes problem one of the hardest Millennium Prize Problems?
56:51 Selberg said “I believe that it is the simple things that will survive in mathematics.” Do you agree?
58:53 Sullivan comments on Abel's philosophy of mathematics
Abel Prize laureate 2022: Dennis Parnell Sullivan interviewed by mathematicians Christian Skau and Bjørn Ian Dundas.
Dennis Sullivan, Stony Brook University, USA, and the Graduate School and University Center of the City University of New York, USA, was awarded the Abel Prize 2022 “for his groundbreaking contributions to topology in its broadest sense, and in particular its algebraic, geometric and dynamical aspects”.
Dennis Sullivan is interviewed by the two mathematicians Christian Skau and Bjørn Ian Dundas. Produced by Gyro for The Norwegian Academy of Science and Letters / Abel Prize © 2022
Program:
- The announcement of this year's recipient(s) of the Abel Prize by President of the Norwegian Academy of Science and Letters, Lise Øvreås.
- The chair of the Abel Prize committee, Helge Holden, gives their reasoning.
- Presentation of the recipient(s) and their work, in short, by Alex Bellos.
- Short interview with the recipient(s).
NB: In Bellos' presentation, the three mathematicians are: Caffarelli, Kohn and Nirenberg. The name of the late Abel Prize laureate of 2015, Louis Nirenberg was by a mistake misspelled. We apologise for this.


