Simons Foundation Lectures
The Simons Foundation’s mission is to advance the frontiers of research in mathematics and the basic sciences.Co-founded in New York City by Jim and Marilyn Simons, the foundation exists to support basic — or discovery-driven — scientific research undertaken in the pursuit of understanding the phenomena of our world.The Simons Foundation’s support of science takes two forms: We support research by making grants to individual investigators and their projects through academic institutions, and, with the launch of the Flatiron Institute in 2016, we now conduct scientific research in-house, supporting teams of top computational scientists.Links:Simons Foundation: https://www.simonsfo...
Universality – Turbulence Across Vast Scales: Day 3, Session 3 (December 4, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Soledad Villar — Algebraic techniques for machine learning (Sept. 26, 2025)
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
Uploaded 22-10-25
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Universality – Turbulence Across Vast Scales: Day 1, Session 3 (December 2, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Nati Srebro — Weak to Strong Generalization in Random Feature Models (Sept. 25, 2025)
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
Uploaded 22-10-25
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Cryo-EM Workshop - Ali Punjani (August 9, 2019)
More details: https://www.simonsfoundation.org/event/nyc-computational-cryo-em-summer-workshop/
Uploaded 26-08-19
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Universality – Turbulence Across Vast Scales: Day 3, Session 1 (December 4, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Rong Ge — Competing Mechanisms in Training Dynamics (Sept. 25, 2025)
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
Uploaded 22-10-25
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Universality – Turbulence Across Vast Scales: Day 4, Session 2 (December 5, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Bin Yu — Understanding Deep Learning Models via Interaction Importance (Sept. 25, 2025)
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
Uploaded 22-10-25
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Universality – Turbulence Across Vast Scales: Day 2, Session 3 (December 3, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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René Vidal — Learning Dynamics in the Feature-Learning Regime... (Sept. 25, 2025)
René Vidal — Learning Dynamics in the Feature-Learning Regime: Implicit Bias, Robustness, and Low-Rank Adaptation
Uploaded 22-10-25
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
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Universality – Turbulence Across Vast Scales: Day 1, Session 2 (December 2, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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ICM 2026 Invited Section Lecture - Ivan Angiono
Pointed Hopf Algebras Revisited, with A View from Tensor Categories
Hopf algebras appear in connection with various problems in Pure Mathematics and Theoretical Physics, mainly through their categoriesof representations, which are examples of tensor categories. In recent years, there have been major advances in the classification of finite-dimensional Hopf algebras over the complex numbers, especially when restricted to the pointed case. In this talk, we will summarize the main results in this direction, stating the classification theorems recently obtained and the problems still open, and describing the tools needed to solve the problem by means of the...
Pedro Abdalla — LLM Watermarking Using Mixtures and Statistical-to-Computational Gaps (Sept. 25, 2025)
2025 Mathematical and Scientific Foundations of Deep Learning Annual Meeting
https://www.simonsfoundation.org/event/mathematical-and-scientific-foundations-of-deep-learning-annual-meeting-2025/
Uploaded 22-10-25
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Universality – Turbulence Across Vast Scales: Day 4, Session 3 (December 5, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Hannah Bayer: IBL: Learning to work together (May 6, 2025)
The International Brain Laboratory is an experiment in building a large-scale distributed collaboration committed to open science. To achieve its goals, IBL had to address problems faced by collaborations of all sizes: shared decision making, the division of labor, authorship and credit assignment, and supporting career progression. In this talk I describe some of the lessons we have learned that we hope other scientists may find applicable to their own efforts.
Uploaded 20-10-25
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Universality – Turbulence Across Vast Scales: Day 4, Session 4 (December 5, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Lilia Boeri: Designing Next-Generation Superconductors through Pressure Quenching
In this Presidential Lecture, Lilia Boeri will present cutting-edge research related to superconductivity. Eremets’ discovery of near room-temperature superconductivity in high-pressure hydrides marked a major turning point in the history of superconductivity, demonstrating that extreme pressure can stabilize phases with unprecedented properties that are unthinkable at ambient conditions. Ten years after the discovery of hydrogen sulfide superconductors, pressure quenching is emerging as a practical strategy to retain high-temperature phases at ambient pressure by preserving structures formed under extreme conditions.
Uploaded 20-10-25
For more information go here: https://www.simonsfoundation.org/event/designing-next-generation-superconductors-through-pressure-quenching/
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Universality – Turbulence Across Vast Scales: Day 5, Session 2 (December 6, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Chen-Ning Yang: Emerging theories of the standard model
Uploaded 20-10-25
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CLASS + SONG Workshop - Exercises 1 (July 15, 2019)
More details: https://www.simonsfoundation.org/event/class-song-workshop/
Uploaded 30-08-19
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Universality – Turbulence Across Vast Scales: Day 5, Session 1 (December 6, 2019)
More details: https://www.simonsfoundation.org/event/universality-turbulence-across-vast-scales-598-766/
Uploaded 10-01-20
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Chen-Ning Yang: Paper with Mills on Gauge theories
Uploaded 20-10-25
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Lisa Fauci - Hydrodynamically-coupled oscillators in biofluids (December 17, 2019)
Respiratory cilia that transport mucus in the lungs, spermatozoa that collectively move through the female reproductive tract, paddling appendages that propel a crawfish, and fish swimming in a school are all examples of oscillators that exert force on a surrounding fluid. Do the synchronous or phase-shifted periodic motions that we observe arise due to hydrodynamic coupling? We will discuss experiments and models of the self-organized pattern of beating flagella and cilia — from minimal models of colloidal particles driven by optical traps to more detailed models that include dynamics of the molecular motors driving the motion. We will also consider in...
Stuart McAlpine - Creating a Bayesian digital twin of our Universe (Sept. 18, 2025)
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
Uploaded 17-10-25
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Subir Sachdev - Ultra-Spooky Action at a Distance (January 22, 2019)
Ultra-Spooky Action at a Distance: From Quantum Materials in the Lab to Black Holes
The strangest feature of quantum theory was dubbed “spooky action at a distance” by Albert Einstein. Today, scientists have convincing evidence that two quantum particles far apart can entangle with each other such that the observation of one can instantaneously determine the state of the other.
Uploaded 24-01-20
In this lecture, Subir Sachdev will describe how this quantum feature is playing a central role in many modern developments in physics. Quantum entanglement can occur on a macroscopic scale with tril...
Laura Sommovigo and Shivam Pandey - From Simulations to Surveys... (Sept. 18, 2025)
From Simulations to Surveys: Building Realistic Mock Catalogs for Galaxies and the CMB
Uploaded 17-10-25
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
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Jason Lerch - Autism, Autisms, or Neurodevelopmental Disorders? (January 29, 2020)
If we had known back then what we know now, would we have the disorder names and categories that we do? In this lecture, Jason Lerch will explore the question: What do modern ways of looking at brains and genes tell us about autism — or autisms — and its relationship to attention deficit disorder, obsessive-compulsive disorder and other related disorders of brain development? More details: https://www.simonsfoundation.org/event/autism-autisms-or-neurodevelopmental-disorders/
Uploaded 31-01-20
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ICM 2026 Invited Section Lecture - Emanuel Milman
Multi-Bubble Isoperimetric Problems
The classical isoperimetric inequality in Euclidean space Rn states that among all sets of prescribed volume, the Euclidean ball (uniquely) minimizes surface area, explaining why a single soap bubble is always a round sphere. One may similarly consider isoperimetric problems on more general metric-measure spaces, such as on the n-sphere Sn and on n-dimensional Gaussian space Gn (i.e. Rn endowed with the standard Gaussian measure). More generally, we consider the multi-bubble isoperimetric problem, in which one prescribes the volumes of k greater then= 2 bubbles and minimizes their total surface area -– as any mu...
Laurence Perreault-Levasseur - Learning how to Accelerate the Universe (Sept. 18 2025)
With introduction to the collaboration by Greg Bryan.
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
Uploaded 17-10-25
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Philip Mocz - The Art of Scientific Computing (for Astrophysics) (January 30, 2020)
Physical equations have their own sets of symmetries, invariants, and conserved quantities. In addition, in astrophysical contexts, systems often have many-orders-of-magnitude dynamic range and may experience supersonic speeds or discontinuities. In developing accurate, robust, and efficient scientific computing methods for high-performance simulations, one is faced with the challenge of how to discretize the equations to represent them on a computer and still maintain as many of the physical properties of the equations as possible (which typically leads to reduced numerical
error and more reliable code behavior).
Uploaded 04-02-20
In this talk, I will...
Sophie Khoudmani - Modeling the Black Hole-Galaxy Connection (Sept. 19 2025)
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
Uploaded 17-10-25
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Pixell Tutorial - Mathew Madhavacheril (February 6, 2020)
More info: https://www.simonsfoundation.org/event/so-theory-tutorial/
Uploaded 10-02-20
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Chang-Goo Kim and Ulrich Steinwandel - Bridging Galactic and Cosmological Scales... (Sept. 18 2025 )
Bridging Galactic and Cosmological Scales: Baryonic Modeling for Next-Generation Simulations
Uploaded 17-10-25
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
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Brian Metzger - How Gravitational Waves Pointed Us to the Origin of Gold (February 5, 2020)
Two summers ago, the LIGO interferometers detected gravitational waves from coalescing neutron stars for the first time. (Neutron stars are the dense cores left over when massive stars explode at the end of their lives). This discovery initiated a frenzied search for a visual ‘afterglow’ to the merger using dozens of telescopes on the ground and in space. Within hours, fading blue light, unlike that ever seen before, was discovered from a galaxy 100 million light-years away.
Uploaded 10-02-20
In this lecture, Brian Metzger will discuss the monumental importance of the first detection of gravitational wave...
Shy Genel - Future Directions in Training Cosmological Emulators (Sept. 19, 2025)
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
Uploaded 17-10-25
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CLASS + SONG Workshop - Theory (July 15, 2019)
More details: https://www.simonsfoundation.org/event/class-song-workshop/
Uploaded 30-08-19
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Liang Dai - A New Window Into the Universe (February 4, 2020)
Detection of chirping gravitational waves (GWs) at ground-based laser interferometry observatories LIGO and Virgo have uncovered a population of compact binary mergers. Forthcoming observing runs with upgraded sensitivity and more observatories joining the network will tremendously increase the number of source systems, which will shed light on their astrophysical origin and enable to exploit those events as cosmological probes. I will present independent efforts by the IAS group to analyze the publicly available LIGO/Virgo data and report newly discovered GW events in addition to what experimental collaborations have reported. I will highlight several original and crucial data analysis...
Matthew Ho - A simulation based re-analysis of the CMASS data (Sept. 19, 2025)
2025 Simons Collaboration on Learning the Universe Annual Meeting (September 18-19, 2025)
https://www.simonsfoundation.org/event/simons-collaboration-on-learning-the-universe-annual-meeting-2025/
Uploaded 17-10-25
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Ken van Tilburg - The Structure of Dark Matter on Small Scales (February 6, 2020)
Halometry—mapping out the spectrum, location, and kinematics of nonluminous structures inside the Galactic halo—can be realized via effects that variable weak gravitational lensing induces on the proper motions of stars and other luminous background sources. Modern astrometric surveys provide unprecedented positional precision along with a leap in the number of cataloged objects. Astrometry thus offers a new and sensitive probe of collapsed dark matter structures over a wide mass range, from one millionth to several million solar masses. It opens up a window into the spectrum of primordial density fluctuations with very small comoving wavenumbers, scales hitherto poor...