Gull group at the University of Warsaw

The Computational Quantum Many-Body Theory group has several openings at the Physics Department of the University of Warsaw as a part of the ERC Advanced grant Quantum Algorithms. Openings are available for postdocs, PhD students, and master students on research topics in condensed matter theory and high-performance computing, including the development of field-theoretic methods for realistic correlated electron systems and their application to systems of interest. A wide range of topics is available. Previous work (see below) provides a general overview of the research areas. The Gull group will maintain an affiliation with the University of Michigan.

Available positions

Postdoc positions

The Gull group has several postdoc positions available. Due to the extensive paperwork required by the funding agencies and by local employers, prospective candidates are asked to contact emanuel.gull@gmail.com as early as possible to express interest.

Postdocs are required to have a PhD at the time of their employment. Areas include computational and/or analytical condensed matter theory, applied mathematics, quantum chemistry, and/or high-performance computing. Experience with modern analytic or numerical methods in quantum theory is desired. Experience with numerical methods in physics and a solid foundation in code development is especially welcome. Interested parties should contact emanuel.gull@gmail.com for information.

Formal applications will need to respond to an official job posting on euraxess. These positions are advertised on a rolling basis. If you are interested in a position but none is currently advertised please reach out.

Master and Bachelor students

Several topics for master and bachelor theses at the University of Warsaw are available. Candidates are encouraged to contact emanuel.gull@gmail.com for information. International candidates are welcome to explore options via Erasmus and other exchange programs.

PhD positions

Several positions for PhD candidates are available. Candidates are expected to become part of the Graduate School at the University of Warsaw. Please contact emanuel.gull@gmail.com for information and help with the application procedure. Detailed information can be found at the physics department and at the doctoral school. In the past, the timeline for applications was as follows:

  1. Application to the Doctoral School: Middle of April
  2. Recommendation letters: Until beginning of June
  3. Interview and entrance exam: Middle of June to middle of August
  4. Admission decisions: Early August
  5. Start of graduate school: Late September

Related Work and References

Note that this subset of relevant publications is quickly outdated. For a more recent list of published work and preprints see the Google Scholar profile.

Quantum Impurity Solvers

  1. Tensor train continuous time solver for quantum impurity models
  2. Continuous-time Monte Carlo methods for quantum impurity models

Realistic Theoretically Rigorous Electronic Structure Methods

  1. Symmetry adaptation for self-consistent many-body calculations
  2. Equivariant neural network for Green’s functions of molecules and materials
  3. Fully self-consistent finite-temperature 𝐺⁡𝑊 in Gaussian Bloch orbitals for solids
  4. Relativistic self-consistent 𝐺⁡𝑊: Exact two-component formalism with one-electron approximation for solids

Mathematical Properties of Green’s Functions and Numerical Algorithms

  1. Minimal pole representation and analytic continuation of matrix-valued correlation functions
  2. Feynman diagrammatics based on discrete pole representations: A path to renormalized perturbation theories
  3. Denoising of imaginary time response functions with Hankel projections
  4. Minimal pole representation and controlled analytic continuation of Matsubara response functions
  5. Robust analytic continuation of Green’s functions via projection, pole estimation, and semidefinite relaxation

Application projects

  1. Large exciton binding energy in a bulk van der Waals magnet from quasi-1D electronic localization
  2. Ab initio self-energy embedding for the photoemission spectra of NiO and MnO

Open Source Software

  1. Green/WeakCoupling: Implementation of fully self-consistent finite-temperature many-body perturbation theory for molecules and solids