• Advances in Atomic Physics

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    Advanced level course in atomic physics. Progress in laser control of atoms has led to the creation of Bose-Einstein condensates, ultrafast time and...

  • Bioorganic Chemistry

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    Design and synthesize small organic functional molecules for understanding and controlling biological systems. Build a strong foundation of modern syn...

  • Advanced Optics

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    Review of geometrical optics; wave properties of light and the wave equation; Helmholtz equation; wave optics, including Fresnel and Fraunhofer diffr...

  • Quantum Field Theory

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    Learn quantum field theory from lectures and by working through classic and recent papers to follow developments in the field.  Progress from a recon...

  • Measure Theory and Integration

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    Explore foundational concepts of modern measure theory that  underpin advanced mathematical topics such as functional analysis, partial differential ...

  • Nonlinear Time Series Analysis and Manifold Learning

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    Over the last 50 years or so nonlinear dynamics and chaos has revolutionized our understanding of the complexity of the natural world. However, the va...

  • Partial Differential Equations II

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    Learn modern theory of partial differential equations (PDEs) with emphasis on linear and nonlinear PDEs arising in various applications such as mathem...

  • Partial Differential Equations

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    Through lectures and assignments, explore a variety of PDEs with emphasis on the theoretical aspects and related techniques to find exact solutions an...

  • Lie Algebras

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    Learn the fundamental objects in algebra, especially representation theory, with hands-on experience in computing representations and constructing sop...

  • Computational Mechanics

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    Numerical solutions to partial differential equations have wide application in many areas of physics, mechanics, engineering, and applied mathematics....