Master of Mathematics in Applied Mathematics - Mathematical Physics in Waterloo Canada | University of Waterloo

Contemporary civilization has been profoundly influenced by the enduring interplay between Mathematics and the Sciences. Within this framework, the Department of Applied Mathematics provides graduate students with specialized study options in Control Theory and Dynamical Systems, Fluid Mechanics, Mathematical Medicine and Biology, Mathematical Physics, and Scientific Computation. Student research initiatives employ advanced mathematical applications across diverse scientific disciplines, spanning from optimizing cancer treatments and manipulating shape memory alloys to processing fractal images, advancing quantum computing, and investigating climate patterns, cosmic inflation, and nanoscale technologies. As part of the University of Waterloo's Faculty of Mathematics - ranked 20th globally in the 2015 QS University Rankings for mathematics - our department maintains strong collaborations with Science and Engineering faculties, along with numerous research centers including those focused on Mathematical Medicine, Theoretical Neuroscience, Quantum Computing, and Nanotechnology. The department provides both Master's and doctoral programs, with the thesis-based MMath typically requiring two years of study. Graduates often continue to PhD programs or secure prominent roles in industry and government sectors. The PhD program, usually completed in four years, primarily leads to academic research positions, though some graduates enter industrial, governmental, or commercial R&D roles.

Mathematical Physics research at our institution concentrates on quantum information theory, nanotechnology, and quantum gravity/cosmology. Quantum information theory explores how quantum phenomena can revolutionize information transmission and processing, contributing to global efforts in molecular and atomic control. A key objective involves harnessing quantum entanglement to enable parallel computations, potentially yielding exponential efficiency gains for specific calculations. These quantum principles also facilitate secure communication channels, with existing applications in cryptography. Several faculty members actively collaborate with the University's Institute for Quantum Computing (IQC), advancing these cutting-edge developments.