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  • Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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Bringing people and ideas together to fund, conduct, and share transformative science.

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Founded by Jim and Marilyn Simons, we’re a private philanthropy advancing mathematics and basic science.

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The Flatiron Institute is a research center that uses computational science to advance fields like physics, biology, and astronomy.

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Featured

Dissecting mechanisms of hyperarousal in autism and related disorders using the Simons Sleep Project

Funded Work

Gravity Follows Newton’s and Einstein’s Rules, Even at Cosmic Scales

April 15, 2026

Scientists Capture Superconductivity’s ‘Dancing Pairs’ for First Time, Filling Gap in Decades-Old Theory

April 15, 2026

How SURFiN Fellowships Jump-Started These 3 Neuroscience Students’ STEM Careers

March 18, 2026

Results

  1. Core binding energies of solids with periodic EOM-CCSD

    Publication
  2. Spontaneous emergence of phonon angular momentum through hybridization with magnons

    Publication
  3. Polaritonic quantum matter

    Publication
  4. Floquet optical selection rules in black phosphorus

    Publication
  5. Assessing generative modeling approaches for free energy estimates in condensed matter

    Publication
  6. Scalable Boltzmann Generators for equilibrium sampling of large-scale materials

    Publication
  7. Dynamic control of electron correlations in photodoped charge-transfer insulators

    Publication
  8. Extending Orbital-Optimized Density Functional Theory to L-Edge XPS and Beyond: Spin–Orbit Coupling via Nonorthogonal Quasi-Degenerate Perturbation Theory

    Publication
  9. Exact mid-IR quantum vibrational spectra of neutral water clusters

    Publication
  10. Nonperturbative mass renormalization effects in nonrelativistic quantum electrodynamics

    Publication
  11. Visible Imaging of Incoherent 1200-nm Light via Triplet--Triplet Annihilation Upconversion

    Publication
  12. Correlation-driven attosecond photoemission delay in the plasmonic excitation of C60 fullerene

    Publication
  13. MXtalTools: A Toolkit for Machine Learning on Molecular Crystals

    Publication
  14. Reaction dynamics of lithium-mediated electrolyte decomposition using machine learning potentials

    Publication
    The solid-electrolyte interphase (SEI) is a complex, multicomponent film that forms on the lithium metal anode in lithium-ion batteries. The SEI is formed through the decomposition …
  15. Improved energies and wave function accuracy with Weighted Variational Monte Carlo

    Publication
    Neural network parametrizations have increasingly been used to represent the ground and excited states in variational Monte Carlo (VMC) with promising results. However, traditional VMC methods only optimize …
  16. Local-Density Correlation Functional from the Force-Balance Equation

    Publication
  17. The Good, the Bad, and the Ugly of Atomistic Learning for "Clusters-to-Bulk" Generalization

    Publication
    Generalizing atomistic machine learning models from small molecular clusters to bulk systems is a significant challenge in computational chemistry and materials science. While models trained on clusters can …
  18. Cavity-mediated electron-electron interactions: Renormalizing Dirac states in graphene

    Publication
    Embedding materials in optical cavities has emerged as a strategy for tuning material properties. Here, we develop a nonperturbative quantum electrodynamical approach based on a photon-free self …
  19. An Accurate and Efficient Scheme for Function Extension on Smooth Domains

    Publication
    A new scheme is proposed to construct an (n)-times differentiable function extension of an (n)-times differentiable function defined on a smooth domain, (D,) in (d)-dimensions …
  20. Phaseless auxiliary-field quantum Monte Carlo method for cavity-QED matter systems

    Publication
  21. Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion

    Publication
  22. Superconductivity in twisted bilayer WSe

    Publication
  23. Two-dimensional homogeneous electron gas with symmetric dual-gate screening: Exchange-correlation functional and other ground-state properties

    Publication
  24. Two-dimensional homogeneous electron gas with symmetric dual-gate screening: Exchange-correlation functional and other ground-state properties

    Publication
  25. Classical variational phase-field models cannot predict fracture nucleation

    Publication
    Notwithstanding the evidence against them, classical variational phase-field models continue to be used and pursued in an attempt to describe fracture nucleation in elastic brittle materials. In …
  26. CryoLike: A python package for cryo-electron microscopy image-to-structure likelihood calculations

    Publication
    Extracting conformational heterogeneity from cryo-electron microscopy (cryo-EM) images is particularly challenging for flexible biomolecules, where traditional 3D classification approaches often fail. Over the past few decades …
  27. Classical variational phase-field models cannot predict fracture nucleation

    Publication
    Notwithstanding the evidence against them, classical variational phase-field models continue to be used and pursued in an attempt to describe fracture nucleation in elastic brittle materials. In …
  28. The 2024 New York City Integrative Structural Biology Symposium

    Publication
    The 2024 New York City Integrative Structural Biology Symposium focused on understanding the challenges and opportunities of applying integrative structural biology techniques to biomedical research. To foster connections …
  29. Equispaced Fourier representations for efficient Gaussian process regression from a billion data points

    Publication
    We introduce a Fourier-based fast algorithm for Gaussian process regression in low dimensions. It approximates a translationally invariant covariance kernel by complex exponentials on an equispaced Cartesian …
  30. The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning

    Publication
    Machine learning based surrogate models offer researchers powerful tools for accelerating simulation-based workflows. However, as standard datasets in this space often cover small classes of physical behavior …
  31. How to optimize neuroscience data utilization and experiment design for advancing brain models of visual and linguistic cognition?

    Publication
    In recent years, neuroscience has made significant progress in building large-scale artificial neural network (ANN) models of brain activity and behavior. However, there is no consensus on …
  32. Noncoding variants and sulcal patterns in congenital heart disease: Machine learning to predict functional impact.

    Publication
  33. Approximate Contraction of Arbitrary Tensor Networks with a Flexible and Efficient Density Matrix Algorithm

    Publication
    Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations …
  34. Comparative profiling of white matter development in the human and mouse brain reveals volumetric deficits and delayed myelination in Angelman syndrome.

    Publication
  35. Uniqueness, regularity and characteristic flow for a non strictly convex singular variational problem

    Publication
    This work addresses the question of uniqueness and regularity of the minimizers of a convex but not strictly convex integral functional with linear growth in a two-dimensional …
  36. A mixing time bound for Gibbs sampling from log-smooth log-concave distributions

    Publication
    The Gibbs sampler, also known as the coordinate hit-and-run algorithm, is a Markov chain that is widely used to draw samples from probability distributions in arbitrary …
  37. Neural network learns low-dimensional polynomials with SGD near the information-theoretic limit

    Publication
    We study the problem of gradient descent learning of a single-index target function f∗(x) = σ∗(⟨x,θ⟩) under isotropic Gaussian data in Rd, where the unknown …
  38. Liquid Filled Elastomers: From Linearization to Elastic Enhancement

    Publication
    Surface tension at cavity walls can play havoc with the mechanical properties of perforated soft solids when the cavities are filled with a fluid. This study is an …
  39. Learning locally dominant force balances in active particle systems

    Publication
    We use a combination of unsupervised clustering and sparsity-promoting inference algorithms to learn locally dominant force balances that explain macroscopic pattern formation in self-organized active particle …
  40. ChronoFlow: A Data-Driven Model for Gyrochronology

    Publication
    Gyrochronology is a technique for constraining stellar ages using rotation periods, which change over a star's main sequence lifetime due to magnetic braking. This technique shows promise …
  41. A two-step dance commits collagen to folding

    Publication
  42. A minimal dynamical system and analog circuit for non-associative learning

    Publication
    Learning in living organisms is typically associated with networks of neurons. The use of large numbers of adjustable units has also been a crucial factor in the continued …
  43. Planet formation theory: an overview

    Publication
    The standard model for planet formation is a bottom-up process in which the origin of rocky and gaseous planets can be traced back to the collision of …
  44. Soft Matching Distance: A metric on neural representations that captures single-neuron tuning

    Publication
    Common measures of neural representational (dis)similarity are designed to be insensitive to rotations and reflections of the neural activation space. Motivated by the premise that the tuning …
  45. xVal: A Continuous Numerical Tokenization for Scientific Language Models

    Publication
    Due in part to their discontinuous and discrete default encodings for numbers, Large Language Models (LLMs) have not yet been commonly used to process numerically-dense scientific datasets …
  46. Trapped acoustic waves and raindrops: high-order accurate integral equation method for localized excitation of a periodic staircase

    Publication
    We present a high-order boundary integral equation (BIE) method for the frequency-domain acoustic scattering of a point source by a singly-periodic, infinite, corrugated boundary. We …
  47. A normative model representing autistic individuals amidst autism spectrum phenotypic heterogeneity.

    Publication
  48. A tug-of-war between germ cell motility and intercellular bridges controls germline cyst formation in mice

    Publication
    Gametes in many species develop in cysts—clusters of germ cells formed by incomplete cytokinesis—that remain connected through intercellular bridges (ICBs). These connections enable sharing of cytoplasmic …
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