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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.

Our grants advance knowledge and strengthen connections between science and society.

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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. Comprehensive study of out-of-equilibrium Kondo effect and Coulomb blockade

    Publication
    We present a comprehensive set of numerically exact results for the Anderson model of a quantum dot coupled to two electrodes in non-equilibrium regime. We use a …
  2. Inchworm tensor train hybridization expansion quantum impurity solver

    Publication
    The investigation of quantum impurity models plays a crucial role in condensed matter physics because of their wide-ranging applications, such as embedding theories and transport problems. Traditional …
  3. Hund’s flat band in a frustrated spinel oxide

    Publication
    … long-standing puzzle on the origin of heavy fermion behavior and unconventional transport in LiV2O4. Simultaneously, it opens a path to achieving flat bands through electronic interactions …
  4. CTSEG: A segment picture quantum impurity solver based on TRIQS

    Publication
    Electron-electron interactions are a key determinant of the electrical and optical response properties in solid-state materials. Yet, the many-electron problem is outstandingly difficult, and can …
  5. Discrete Lehmann representation of three-point functions

    Publication
    We present a generalization of the discrete Lehmann representation (DLR) to three-point correlation and vertex functions in imaginary time and Matsubara frequency. The representation takes the form …
  6. Enhanced Strange Metallicity due to Hubbard-U Coulomb Repulsion

    Publication
  7. Embedded multi-boson exchange: A step beyond quantum cluster theories

    Publication
  8. Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime

    Publication
  9. Cross-extrapolation reconstruction of low-rank functions and application to quantum many-body observables in the strong coupling regime

    Publication
  10. Finite Temperature Minimal Entangled Typical Thermal States Impurity Solver

    Publication
    We present a minimally entangled typical thermal state quantum impurity solver for general multiorbital systems at finite temperatures. We introduce an improved estimator for the single-particle Green …
  11. Dynamical correlation functions from complex time evolution

    Publication
    We present an approach to tame the growth of entanglement during time evolution by tensor network methods. It combines time evolution in the complex plane with a perturbative …
  12. An algorithm for computing perturbation series of dynamical mean field theory

    Publication
  13. Learning tensor networks with tensor cross interpolation: new algorithms and libraries

    Publication
  14. LiV2O4: Hund-Assisted Orbital-Selective Mottness

    Publication
  15. LiV2O4: Hund-Assisted Orbital-Selective Mottness

    Publication
  16. Learning tensor networks with tensor cross interpolation: new algorithms and libraries

    Publication
  17. Equilibrium quantum impurity problems via matrix product state encoding of the retarded action

    Publication
    In the 0 + 1 -dimensional imaginary-time path integral formulation of quantum impurity problems, the retarded action encodes the hybridization of the impurity with the bath. In this …
  18. Low rank Green's function representations applied to dynamical mean-field theory

    Publication
  19. Frequency-Dependent Superconducting States From the Two-Time Linear Response Theory: Application To Sr

    Publication
  20. Exact numerical solution of the classical and quantum Heisenberg spin glass

    Publication
  21. Variational Benchmarks for Quantum Many-Body Problems

    Publication
  22. Exact numerical solution of the classical and quantum Heisenberg spin glass

    Publication
  23. Learning Feynman Diagrams with Tensor Trains

    Publication
  24. Discrete Lehmann representation of imaginary time Green's functions

    Publication
    We present an efficient basis for imaginary time Green's functions based on a low rank decomposition of the spectral Lehmann representation. The basis functions are simply a …
  25. Discrete Lehmann representation of imaginary time Green's functions

    Publication
  26. Automatic, high-order, and adaptive algorithms for Brillouin zone integration

    Publication
  27. Tracking the Footprints of Spin Fluctuations: A Multi-Method, Multi-Messenger Study of the Two-Dimensional Hubbard Model

    Publication
    The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as testing grounds …
  28. Planckian Metal at a Doping-Induced Quantum Critical Point

    Publication
    We numerically study a model of interacting spin-\(1/2\) electrons with random exchange coupling on a fully connected lattice. This model hosts a quantum critical point separating …
  29. Charge self-consistent electronic structure calculations with dynamical mean-field theory using Quantum ESPRESSO, Wannier90 and TRIQS

    Publication
  30. Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids

    Publication
  31. Inter-orbital singlet pairing in Sr

    Publication
  32. Minimally Entangled Typical Thermal States Algorithms for Finite Temperature Matsubara Green Functions

    Publication
  33. Quantum Quasi-Monte Carlo algorithm for out-of-equilibrium Green functions at long times

    Publication
  34. Quantum Quasi-Monte Carlo Technique for Many-Body Perturbative Expansions

    Publication
    High order perturbation theory has seen an unexpected recent revival for controlled calculations of quantum many-body systems, even at strong coupling. We adapt integration methods using low …
  35. Imaginary-time matrix product state impurity solver in a real material calculation: Spin-orbit coupling in Sr2RuO4

    Publication
    Using an imaginary-time matrix-product state (MPS) based quantum impurity solver we perform a realistic dynamical mean-field theory (DMFT) calculation combined with density functional theory (DFT …
  36. A Quantum Monte Carlo algorithm for out-of-equilibrium Green's functions at long times

    Publication
  37. Magnetic response of Sr2RuO4: quasi-local spin fluctuations due to Hund's coupling

    Publication
    We study the magnetic susceptibility in the normal state of Sr2RuO4 using dynamical mean-field theory including dynamical vertex corrections. Besides the well known incommensurate response, our calculations …
  38. Hall coefficient signals orbital differentiation in the Hund’s metal Sr2RuO4

    Publication
    The Hall coefficient RH of Sr2RuO4 exhibits a non-monotonic temperature dependence with two sign reversals. We show that this puzzling behavior is the signature of two crossovers …
  39. Enhancement of Local Pairing Correlations in Periodically Driven Mott Insulators

    Publication
    We investigate a model for a Mott insulator in presence of a time-periodic modulated interaction and a coupling to a thermal reservoir. The combination of drive and …
  40. Reconstructing non-equilibrium regimes of quantum many-body systems from the analytical structure of perturbative expansions

    Publication
    We propose a systematic approach to the non-equilibrium dynamics of strongly interacting many-body quantum systems, building upon the standard perturbative expansion in the Coulomb interaction. High …
  41. Resonant Thermalization of Periodically Driven Strongly Correlated Electrons

    Publication
  42. Renormalization of effective interactions in a negative charge transfer insulator

    Publication
    We compute from first principles the effective interaction parameters appropriate for a low-energy description of the rare-earth nickelate LuNiO3 involving the partially occupied eg states only …

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