Andrew Brouwer is an Assistant Research Scientist in the Department of Epidemiology at the University of Michigan. He earned his PhD in applied and interdisciplinary mathematics (2015) at the University of Michigan; he also has an MA in statistics and an MS in environmental science and engineering. Andrew is a mathematical epidemiologist whose research focuses on mathematical and statistical modeling for public health, particularly models of infectious disease and cancer. Rigorous consideration of parameter identifiability, parameter estimation, and uncertainty quantification are underlying themes in Andrew’s work.
Shasha Zou is an Associate Professor of Climate and Space Science and Engineering. Her general research interest is about studying the dynamic interaction between the Sun’s extended atmosphere, i.e., solar wind, and the near-Earth space environment. In particular, she is interested in the physical processes of formation and evolution of ionospheric structures and their impact on technology, such as global navigation and communication satellite system (GNSS), during space weather disturbances using multi-instrument observations and numerical models. Numerical models often used include magnetohydrodynamic (MHD) model of the global magnetosphere, and physics-based global ionosphere and thermosphere model.
Evgueni Filipov is an Assistant Professor in the Department of Civil and Environmental Engineering. His research interests lie in the field of deployable and reconfigurable structural systems. Folding and adaptable structures based on the principles of origami can have practical applications ranging in scale and discipline from biomedical robotics to deployable architecture.
His research is focused on developing computational tools that can simulate mechanical and multi-physical phenomena of deployable structures. The analytical models incorporate folding kinematics along with local and global phenomenological behaviors. Prof. Filipov uses finite element and constitutive modeling to better understand how geometry affects elastic deformations and other physical properties of the deployable and adaptable structures. He is interested in optimization of such systems and large scale parametric studies to explore the design space and potential applications of the systems.
Phani Motamarri is an Assistant Research Scientist in the department of Mechanical Engineering. His research interests lie in the broad scope of computational materials science with emphasis on computational nano-science leading to applications in the areas of mechanics of materials and energy. His research is strongly multidisciplinary, drawing ideas from applied mathematics, data science, quantum-mechanics, solid-mechanics, materials science and scientific computing.
The current research focus lies in developing systematically improvable real-space computational methodologies and associated mathematical techniques for conducting large-scale electronic-structure (ab-initio) calculations -via- density functional theory (DFT). Massively parallel and scalable numerical algorithms using finite-elements (DFT-FE) are developed as a part of this research effort, which enabled large-scale DFT calculations on tens of thousands of atoms for the first time using finite-element basis. These computational methods will aid fundamental studies on defects in materials, molecular and nanoscale systems which otherwise would have been difficult to study with the existing state of the art computational methods. Current areas of application include — (a) first-principles modelling of energetics of point defects and dislocations in Al, Mg and its alloys which are popular in light-weighting applications to provide useful inputs to meso-scale and continuum models, (b) providing all-electron DFT input to advanced electronic structure approaches like the GW method for accurate prediction of electronic properties in semiconductor-materials.
Silas Alben is an Associate Professor in the Department of Mathematics, and the Director of the Applied & Interdisciplinary Mathematics program. He uses theoretical analysis, and develops numerical methods and models of problems arising from biology, especially biomechanics and engineering. Some of his group’s current applications are piezoelectric flags, flag fluttering in inviscid channel flow, snake locomotion and jet-propelled swimming.
Santiago Schnell’s lab combines chemical kinetics, molecular modeling, biochemical measurements and computational modeling to build a comprehensive understanding of proteostasis and protein forlding diseases. They also investigate other complex physiological systems comprising many interacting components, where modeling and theory may aid in the identification of the key mechanisms underlying the behavior of the system as a whole.
His research focuses on understanding the role of strong correction effects in many-body quantum systems. The objective is to discover novel quantum states/materials and to understand their exotic properties using theoretical/numerical methods (with emphasis on topological properties). In his research, numerical techniques are applied to resolve the fate of a quantum material (or a theoretical model) in the presence of multiple competing ground states and to provide quantitative guidance for further (experimental/theoretical) investigations.
Eric Michielssen is the Louise Ganiard Johnson Professor of Electrical Engineering and Computer Science – Electrical and Computer Engineering Division.
His research interests include all aspects of theoretical, applied, and computational electromagnetics, with emphasis on the development of fast (primarily) integral-equation-based techniques for analyzing electromagnetic phenomena. His group studies fast multipole methods for analyzing static and high frequency electronic and optical devices, fast direct solvers for scattering analysis, and butterfly algorithms for compressing matrices that arise in the integral equation solution of large-scale electromagnetic problems.
Furthermore, the group works on plane-wave-time-domain algorithms that extend fast multipole concepts to the time domain, and develop time-domain versions of pre-corrected FFT/adaptive integral methods. Collectively, these algorithms allow the integral equation analysis of time-harmonic and transient electromagnetic phenomena in large-scale linear and nonlinear surface scatterers, antennas, and circuits.
Recently, the group developed powerful Calderon multiplicative preconditioners for accelerating time domain integral equation solvers applied to the analysis of multiscale phenomena, and used the above analysis techniques to develop new closed-loop and multi-objective optimization tools for synthesizing electromagnetic devices, as well as to assist in uncertainty quantification studies relating to electromagnetic compatibility and bioelectromagnetic problems.