My research is primarily in the area of computer-aided design (CAD) of VLSI systems. Advances in integrated circuit technologies allow us to build progressively larger systems, with increasing numbers of transistors. On the other hand, circuit components, such as transistors and wires, shrink in size from one technology generation to the next. Under such a scenario, CAD techniques are essential, both to model physical effects at the nanoscale and to solve large-scale problems with large numbers of variables. The research in our group is centered around design automation for optimization and analysis, concentrating on timing, power and layout issues. Some specific problems that we have worked on in the recent past include thermal analysis, reliability, power grid analysis, and 3D integration. Our focus has been on being able to build practical algorithms that can provide accurate solutions with a reasonable amount of computation.