Mathematics Department

The newly formed Mathematics Department at Berkeley Lab is comprised of three groups: Software Design for Experimental Science, Mathematics for Experimental Data Analysis, and the Mathematics Group. Together, these groups develop an integrated, cross-disciplinary approach to bringing state-of-the-art mathematics to challenging problems across the Department of Energy.

Our work spans multiple areas of investigation:

• Complex physics simulations, including those from fluid mechanics, aerodynamics, and industrial manufacturing, making use of a variety of techniques, such as discontinuous Galerkin solvers, level set methods, and projection methods.
• Inverse problems arising from data science and experimental facilities, including tomography, free-electron lasers, x-ray photon correlation spectroscopy, image understanding through computer vision and machine learning, and autonomous self-driving experiments, making use of a variety of mathematical approaches, including computational harmonic analysis, correlation methods, Mixed-Scale Dense convolution neural networks, statistical methods, and dimensional reduction.
• Software design and workflow protocols for efficient delivery and execution of algorithms across a spectrum of computing platforms.

Department Head: James Sethian