Biology of Cancer and AIDS

Not for credit toward major. How cancer and AIDS begin and progress. The roles of individual cells, the immune system, mutations and viruses. How various physical and subtle factors influence one's chances of getting cancer. How to not get AIDS. The principles of vaccine development and why AIDS presents special difficulties. Established and new medical treatments for cancer and AIDS. What cancer and AIDS can teach us about health, healing, disease, living, and dying. (Gen.Ed. BS)

Intr-Prtl Dftl Eq I

Introduction to the modern methods in partial differential equations. Calculus of distributions: weak derivatives, mollifiers, convolutions and Fourier transform. Prototype linear equations of hyperbolic, parabolic and elliptic type, and their fundamental solutions. Initial value problems: Cauchy problem for wave and diffusion equations; well-posedness in the Hilbert-Sobolev setting.

Representation Theory

Representation theory studies the way groups, rings and other algebraic structures can act by linear symmetries. We will consider representations of finite groups, the general linear group, the symmetric group, and quiver algebras. If time permits, we cover the theory of Soergel bimodules and applications to knot homology. We will provide suggestions for further reading to explore the beyond the listed examples. Students will prepare a presentation on a topic related to class discussion. A list of topics will offered in class.
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