About Me
I'm a post-doctoral researcher at the Chair of high performance numerical algorithms and simulations at EPFL under the supervision of Laura Grigori. Prior to moving to EPFL, I was a post-doctoral researcher at the Laboratoire Jacques-Louis Lions under the supervision of Yvon Maday. Along with several of Yvon's students and collaborators, I worked on the Extreme-scale Mathematically-based Computational Chemistry ERC Synergy project. Before taking up my post-doctoral position at the LJLL, I studied at RWTH Aachen and ETH Zürich. I wrote my Phd Dissertation under Benjamin Stamm, and before that my MS thesis under Sid Mishra.
News and Updates
- May 2024
- I will be a lecturer at the 6th edition of the GDR NBODY Mini-school on mathematics for theoretical chemistry and physics. The school will take place from the 28th to 31st of May 2024 at the Laboratoire Jacques-Louis Lions at Sorbonne Université Paris. More information can be found here.
- March 2024
- I have the pleasure of hosting a workshop on electronic structure theory for solids in March 2024. More information can be found here.
Research Interests
The main part of my post-doctoral research involves the numerical analysis of state-of-the-art wave-function methods that are used to solve the electronic Schrödinger equation. In my current position at EPFL, I am working on the analysis of the DMRG algorithm for computing the ground states of strongly correlated molecules. In my previous position as a post-doc at the LJLL, I worked on the analysis of coupled cluster methods for computing the ground states of dynamically correlated molecules. In a joint project with Eric Cancès and some colleagues at CERMICS (Ecole des Ponts), I also work on band structure calculations of crystalline materials. Additionally, together with Jean-Philip Piquemal and my former colleagues at the Laboratoire de Chimie Théorique (Sorbonne Université), I work on adaptive variational quantum eigensolvers. During my Phd, I mostly worked on the mathematical analysis of boundary integral equations and domain decomposition methods with applications in polarisable electrostatics.Publications
Preprints
- An L2-maximum principle for circular arcs on the disk.
T. C. Corso, M. Hassan, A. Jha, B. Stamm.
- Analysis of the Single Reference Coupled Cluster Method for Electronic Structure Calculations: The Discrete Coupled Cluster Equations.
M. Hassan, Y. Maday, and Y. Wang.
- Greedy Gradient-free Adaptive Variational Quantum Algorithms on a Noisy Intermediate Scale Quantum Computer.
C. Feniou, B. Claudon, M. Hassan, A. Courtat, O. Adjoua, Y. Maday, and J.-P. Piquemal.
Peer-reviewed Articles
- Continuity estimates for Riesz potentials on polygonal boundaries.
X. Claeys, M. Hassan, and B. Stamm.
Partial Differential Equations and Applications 5, 11 (2024).
- Analysis of the Single Reference Coupled Cluster Method for Electronic Structure Calculations: The Full Coupled Cluster Equations.
M. Hassan, Y. Maday, and Y. Wang.
Numerische Mathematik 155, 121–173 (2023).
- Overlap-ADAPT-VQE: Practical Quantum Chemistry on Quantum Computers via Overlap-Guided Compact Ansätze.
C. Feniou†, M. Hassan†, D. Traoré, E. Giner, Y. Maday, and J.-P. Piquemal.
Communications Physics 6, 192 (2023).
- Modified-operator method for the calculation of band diagrams of crystalline materials.
E. Cancès, M. Hassan, and L. Vidal.
Mathematics of Computation 93, 1203-1245 (2024).
- Manipulating interactions between polarisable particles with electric fields: A general electrostatic many-body framework.
M. Hassan, C. Williamson, J. Baptiste, S. Braun, A. Stace, E. Besley, and B. Stamm.
Journal of Chemical Theory and Computation 18.10 (2022), pp. 6281-6296.
- The influence of surface charge on the coalescence of ice and dust particles in the mesosphere.
J. Baptiste, C. Williamson, J. Fox, A. Stace, M. Hassan, S. Braun, B. Stamm, I. Mann, and E. Besley.
Atmospheric Chemistry and Physics 21.11 (2021), pp. 8735-8745.
- A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the N-Body Dielectric Spheres Problem.
M. Hassan and B. Stamm.
Communications in Computational Physics, 29 (2021), pp. 319-356.
- An Integral Equation Formulation of the N-Body Dielectric Spheres Problem. Part II: Complexity Analysis.
B. Bramas, M. Hassan, and B. Stamm.
ESAIM: Mathematical Modelling and Numerical Analysis, 55 (2021) pp. S625-S651.
- An Integral Equation Formulation of the N-Body Dielectric Spheres Problem. Part I: Numerical Analysis.
M. Hassan and B. Stamm.
ESAIM:Mathematical Modelling and Numerical Analysis, 55 (2021) pp. S65-S102.
- On the Scalability of the Schwarz Method.
G. Ciaramella, M. Hassan, and B. Stamm.
The SMAI Journal of Computational Mathematics, Volume 6 (2020), pp. 33-68.
Proceedings
- On the Scalability of the Parallel Schwarz Method in One Dimension.
G. Ciaramella, M. Hassan, and B. Stamm.
Domain Decomposition Methods in Science and Engineering XXV (2020), pp. 151-158.
Theses
- Mathematical Analysis of Boundary Integral Equations and Domain Decomposition Methods with Applications in Polarisable Electrostatics. Doctoral dissertation, RWTH Aachen, 2020.
- Exploring the Carbuncle Phenomenon in Hypersonic flows using the Framework of Entropy Measure Valued Solutions. MS thesis, ETH Zürich, 2016.
- † indicates equal contribution.
Muhammad Hassan
Post-doctoral Researcher
Chair of High Performance Numerical Algorithms & Simulations
École Polytechnique Fédérale de Lausanne (EPFL)
