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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

Topology and Complexity

November 19, 2014

Results

  1. New magnetic topological materials from high-throughput search

    Publication
    We conducted a high-throughput search for topological magnetic materials across 522 new, experimentally reported commensurate magnetic structures from MAGNDATA, doubling the number of available materials on the …
  2. Does Moire Matter? Critical Moire Dependence with Quantum Fluctuations in Graphene Based Integer and Fractional Chern Insulators

    Publication
    Rhombohedral multilayer graphene has emerged as a powerful platform for investigating flat-band-driven correlated phenomena, yet most aspects remain not understood. In this work, we systematically study …
  3. Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe\(_2\)

    Publication
    The interplay between moiré flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic properties …
  4. Obtaining the Spectral Function of Moir\'e Graphene Heavy-Fermions Using Iterative Perturbation Theory

    Publication
    The spectral functions of twisted bilayer graphene (TBG) in the absence of strain have recently been investigated in both the symmetric and symmetry-broken phases using dynamical mean …
  5. Topological heavy fermion model as an efficient representation of atomistic strain and relaxation in twisted bilayer graphene

    Publication
    Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald Hamiltonian, there is mounting evidence that strain and lattice …
  6. Kekul\'e spiral order from strained topological heavy fermions

    Publication
    The topological heavy fermion (THF) model of twisted bilayer graphene is a framework for treating its strongly interacting topological flat bands. In this work, we employ the THF …
  7. Multiband exact diagonalization and an iteration approach to search for fractional Chern insulators in rhombohedral multilayer graphene

    Publication
    We perform a multi-band exact diagonalization (ED) study of rhombohedral pentalayer graphene twisted on hexagonal boron nitride with a focus on fractional Chern insulators (FCI) in systems …
  8. Spinless and spinful charge excitations in moir\'e Fractional Chern Insulators

    Publication
    Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spontaneous …
  9. Observation of High-Temperature Dissipationless Fractional Chern Insulator

    Publication
    The fractional quantum anomalous Hall effect has recently been experimentally observed in zero-field fractional Chern insulators (FCI). However, an outstanding challenge is the presence of a substantial …
  10. Semi-Dirac Fermions in a Topological Metal

    Publication
  11. Dynamical Correlations and Order in Magic-Angle Twisted Bilayer Graphene

    Publication
  12. Dynamical Correlations and Order in Magic-Angle Twisted Bilayer Graphene

    Publication
  13. 2D Theoretically Twistable Material Database

    Publication
  14. Two-dimensional Topological Quantum Chemistry and Catalog of Topological Materials

    Publication
  15. Universal Moiré-Model-Building Method without Fitting: Application to Twisted MoTe

    Publication
  16. Topological Materials Discovery from Crystal Symmetry

    Publication
  17. Topology invisible to eigenvalues in obstructed atomic insulators

    Publication

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