Over the past decades, construction industry has been attracted to modular because of its benefits for reduced project scheduling and costs. However, schedule deviation risks in logistics process can derail thus interfere with widespread application. To address this issue, we aim develop a digital twin framework real-time simulation, which predict potential accurate module arrival time. The twi...

Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta Doctor of Philosophy in Mathematics University of California, Berkeley Professor Kenneth Ribet, Chair We present two generalizations of Darmon’s construction of Stark–Heegner points on elliptic curves defined overQ. First, we provide a lifting of Stark–Heegner points from elliptic curves to cert...