Class meets at: Goldsmith 226,
MW 5:10 -- 6:30 PM
Lecturer: Dmitry Kleinbock
Office: Goldsmith 207, phone 6-3059
Office Hours: Wed 2:30-3:30 PM, or by appt.
E-mail address: kleinboc@brandeis.edu
This is a new experimental graduate course which is a part of my NSF CAREER grant proposal. It has never been taught at Brandeis, although similar courses have been offered at various other universities.
The idea is to engage students in problem-solving activity without restricting to particular fields of mathematics and without assuming a lot of background. The course will feature weekly problem assignments, to be discussed in class. It should be suitable for graduate students of any age and any mathematical interests. The beginning of the course is planned to be very elementary; later on some material from the first-year graduate curriculum may be incorporated. Additional topics will be reviewed in class and in the handouts before problems on those topics are assigned. Students will be encouraged to give presentations on their solutions of weekly problems, or perhaps on some other topics of their choice.
Homework 1: Invariants and Semi-invariants (PDF).
Problem 0
will be discussed on Wednedsay 9/13, the rest are due
in writing on Monday 9/18.
Homework 2: The Box Principle (PDF).
Written solutions are due on
Tuesday (Brandeis Monday) 10/3.
Homework 3: Dani's Conjecture (PDF).
Written solutions are due on
Monday 10/16.
Homework 4: Some Remarks on Problem Sets 1,2 (PDF).
Written solutions are due on
Monday 10/23.
Homework 5: The Extremal Principle (PDF).
Written solutions are due on
Wednesday 11/1.
Homework 6: (C,α)-good functions (PDF).
Written solutions are due on
Monday 11/20.
Homework 7: Elementary Number Theory (PDF).
Written solutions are due on
Wednesday 11/22.
Homework 8: Games!!! (PDF).
Written solutions are due on
Wednesday 12/6.