Semiconductors sit at the intersection of physics, engineering, and applied mathematics, and virtually every modern device—from smartphones to solar panels—depends on their reliable design and optimization. Mathematical models based on partial differential equations describe how charge, heat, and light move through semiconductor materials, while numerical analysis, optimization, and machine learning are used to simulate device performance and guide new designs before a single chip is fabricated. This makes semiconductor technology a rich source of real‑world problems in areas such as PDE modeling, scientific computing, uncertainty quantification, and optimal design.
Arizona has rapidly become a national hub for advanced semiconductor manufacturing, ranking No. 1 in the U.S. for semiconductor strength and attracting more than $210 billion in announced industry investment and over 25,000 projected new jobs since 2020. Major companies like TSMC and Intel are building and expanding leading‑edge fabrication facilities in the Phoenix area, including multiple advanced fabs that will produce some of the most sophisticated chips made on U.S. soil. Arizona’s public universities, including the University of Arizona, play a central role in this growth by expanding micro/nano‑fabrication facilities, developing semiconductor workforce training programs, and partnering with industry to drive innovation and talent development across the state.
Arizona Commerce Authority – Semiconductor advantages and recent investments
Arizona’s public universities and semiconductor growth (ASU, NAU, UArizona overview)
Microelectronics at ASU – statewide microelectronics and workforce initiatives
TSMC Arizona – overview of advanced fabs in Phoenix and their role in U.S. chip manufacturing
Intel in Chandler, AZ – advanced chip fab activity and manufacturing expansion