Paris Mathematics Spring 2009
Course Offerings

Course 1 (Weeks 1-3): TBA
Instructor: TBA

Course 2 (Weeks 4-6): Introduction to Stochastic Processes
Instructor: Greg Lawler

Stochastic processes are processes that evolve with time with some randomness. We will study a number of such processes including: Markov chains, branching processes (population models), queues, martingales (fair games), and Brownian motion. The main text will be my book of the same name. Concepts from probability theory will be introduced as needed.

Course 3 (Weeks 8-10): Introduction to p-Groups
Instructor: Diane Herrmann

This course is an introduction to the p-groups, which play an important role in solvable groups and Lie Algebras. Beginning from the Sylow structure of groups, we will study commutators, the Frattini subgroup, automorphisms, and central products. The course will include a project. The level of difficulty of the project chosen will determine whether this course may be substituted for Math 25600 or Math 25900 in the BS program.

To be eligible to for this program, you must have completed any analysis sequence and either Math 25800 or Math 25500.

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