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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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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. Visualizing the Impact of Quenched Disorder on 2D Electron Wigner Solids

    Publication
    Electron Wigner solids (WSs)1-12 provide an ideal system for understanding the competing effects of electron-electron and electron-disorder interactions, a central unsolved problem in condensed …
  2. Addressing the infinite variance problem in fermionic Monte Carlo simulations: Retrospective error remediation and the exact bridge link method

    Publication
    We revisit the infinite variance problem in fermionic Monte Carlo simulations, which is widely encountered in areas ranging from condensed matter to nuclear and high-energy physics. The …
  3. Quantum Geometry Driven Crystallization: A Neural-Network Variational Monte Carlo Study

    Publication
    Wigner crystals are a paradigmatic form of interaction driven electronic order. A key open question is how Berry curvature and, more generally, quantum geometry reshape crystallization. The discovery …
  4. Competition of fermion pairing, magnetism, and charge order in the spin-doped attractive Hubbard gas

    Publication
    The tension between fermion pairing and magnetism affects numerous strongly correlated electron systems, from high-temperature cuprates to twisted bilayer graphene. Exotic forms of fermion pairing and superfluidity …
  5. Implementing advanced trial wave functions in fermion quantum Monte Carlo via stochastic sampling

    Publication
    We introduce an efficient approach to implement correlated many-body trial wave functions in auxiliary-field quantum Monte Carlo (AFQMC). To control the sign/phase problem in AFQMC …
  6. Critical Gate Distance for Wigner Crystallization in the Two-Dimensional Electron Gas

    Publication
    In devices based on two-dimensional electron gases (2DEGs), gate electrodes can be used to tune the electronic properties by controlling the electron density. Despite the prevalence of …
  7. Excited states in auxiliary field quantum Monte Carlo

    Publication
    We systematically investigate the calculation of excited states in quantum chemistry using auxiliary field quantum Monte Carlo (AFQMC). Symmetry allows targeting of the lowest triplet excited states in …
  8. In search of exotic pairing in the Hubbard model: many-body computation and quantum gas microscopy

    Publication
    Pair density waves and exotic superconductivity have long been of strong interest, and have attracted much recent attention. We present a joint theoretical and experimental exploration of possible …
  9. Single-particle dispersion and density of states of the half-filled two-dimensional Hubbard model

    Publication
    Implementing an improved method for analytic continuation and working with imaginary-time correlation functions computed using quantum Monte Carlo simulations, we resolve the single-particle dispersion relation and …
  10. Spatiotemporal Order and Parametric Instabilities from First-Principles

    Publication
    Shaping crystal structure with light is an enduring goal of physics and materials engineering. Here we present calculations in candidate materials selected by symmetry that allow light-induced …
  11. A neutral-atom Hubbard quantum simulator in the cryogenic regime

    Publication
    Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these …
  12. \(\Sigma\)-Attention: A Transformer-based operator learning framework for self-energy in strongly correlated systems

    Publication
    We introduce Σ-Attention, a Transformer-based operator-learning framework to address a key computational challenge in correlated materials. Our approach utilizes an Encoder-Only Transformer as an …
  13. Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas

    Publication
    In this work, we explore two-dimensional attractive Fermi gases at the microscopic level by probing spatial charge and spin correlations in situ. Using atom-resolved continuum quantum …
  14. Phaseless Auxiliary-Field Quantum Monte Carlo Method for Cavity-QED Matter Systems.

    Publication
    We present a generalization of the phaseless auxiliary-field quantum Monte Carlo (AFQMC) method to cavity quantum-electrodynamical (QED) matter systems. The method can be formulated in both …
  15. Engineering Hubbard models with gated two-dimensional moir\'e systems

    Publication
    Lattice models are powerful tools for studying strongly correlated quantum many-body systems, but their general lack of exact solutions motivates efforts to simulate them in tunable platforms …
  16. An electronic microemulsion phase emerging from a quantum crystal-to-liquid transition

    Publication
    Strongly interacting electronic systems possess rich phase diagrams resulting from the competition between different quantum ground states. A general mechanism that relieves this frustration is the emergence of …
  17. Phaseless auxiliary-field quantum Monte Carlo method for cavity-QED matter systems

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

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

    Publication
  20. Unified Variational Approach Description of Ground-State Phases of the Two-Dimensional Electron Gas

    Publication
  21. Ferromagnetic Semimetal and Charge-Density Wave Phases of Interacting Electrons in a Honeycomb Moiré Potential

    Publication
  22. Ferromagnetic Semimetal and Charge-Density Wave Phases of Interacting Electrons in a Honeycomb Moiré Potential

    Publication
  23. Unified Variational Approach Description of Ground-State Phases of the Two-Dimensional Electron Gas

    Publication
  24. Metal-Insulator Transition in a Semiconductor Heterobilayer Model

    Publication
  25. Re-anchoring Quantum Monte Carlo with Tensor-Train Sketching

    Publication
  26. Emergent polaronic correlations in doped spin liquids

    Publication
  27. Correlation effects in magic-angle twisted bilayer graphene: An auxiliary-field quantum Monte Carlo study

    Publication
  28. The light-matter correlation energy functional of the cavity-coupled two-dimensional electron gas via quantum Monte Carlo simulations

    Publication
  29. Monte Carlo Methods in the Manifold of Hartree-Fock-Bogoliubov Wave Functions

    Publication
  30. Emergent polaronic correlations in doped spin liquids

    Publication
    The interplay between spin and charge degrees of freedom arising from doping a Mott insulating quantum spin liquid (QSL) has been a topic of research for several decades …
  31. Correlation effects in magic-angle twisted bilayer graphene: An auxiliary-field quantum Monte Carlo study

    Publication
  32. Re-anchoring Quantum Monte Carlo with Tensor-Train Sketching

    Publication
  33. The light-matter correlation energy functional of the cavity-coupled two-dimensional electron gas via quantum Monte Carlo simulations

    Publication
  34. Monte Carlo Methods in the Manifold of Hartree-Fock-Bogoliubov Wave Functions

    Publication
  35. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  36. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  37. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  38. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  39. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  40. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  41. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  42. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  43. Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard model

    Publication
  44. Algorithm for branching and population control in correlated sampling

    Publication
  45. Interfacing Branching Random Walks with Metropolis Sampling: Constraint Release in Auxiliary-Field Quantum Monte Carlo

    Publication
  46. Non-perturbative many-body treatment of molecular magnets

    Publication
  47. Computation of forces and stresses in solids: towards accurate structural optimizations with auxiliary-field quantum Monte Carlo

    Publication
  48. Solving 2D and 3D lattice models of correlated fermions -- combining matrix product states with mean field theory

    Publication
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