The Department of Mathematics at MIT is renowned for its rigorous and comprehensive Ph.D. program.
Princeton's Department of Mathematics has a long-standing reputation for its distinguished faculty and research programs.
Stanford's Mathematics Department offers a vibrant research community, with opportunities to engage in cutting-edge research across various subfields of mathematics.
Berkeley's Mathematics Department has a rich history and is known for its faculty's influential research.
Harvard's Mathematics Department offers a rigorous and flexible Ph.D. program that covers a broad spectrum of mathematical disciplines.
Department of Computer Science and Engineering: UC San Diego's computer science program offers a diverse range of research opportunities, including areas such as algorithms, systems, and data science.
Department of Computer Science: UIUC's computer science program is renowned for its faculty expertise, research output, and collaborative research environment.
Department of Computer Science: Cornell's computer science program combines foundational research with interdisciplinary collaborations, offering opportunities in areas such as machine learning, robotics, and computer vision.
Paul G. Allen School of Computer Science & Engineering: UW's computer science program is known for its research impact, faculty caliber, and focus on cutting-edge technologies and applications.
UT Austin's computer science program offers a comprehensive curriculum, world-class faculty, and vibrant research community.