Ma 191c-sec2:  Geometric Incidences (Spring 2016-17)

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COURSE DESCRIPTION

Geometric incidences are a family of combinatorial problems. While these problems existed for several decades, in the past few years they have been experiencing a renaissance: Many new incidence results are being derived by using algebraic methods, while at the same time interesting connections between incidences and other parts of mathematics are being exposed (such as Harmonic Analysis and Theoretical Computer Science). This is currently an active research field which seems to attract the interest of various prominent mathematicians. In this class we will study this subfield and some of its connections to other parts of mathematics.

Each course participant is expected to read one related paper and to present it in class. This webpage will contain a list of possible papers. If more than a few students enroll, some of the undergrad participants would instead submit 3 homework assignments. Students are also expected to attend most of the classes.


PREREQUISITES

The class requires a basic mathematical understanding, such as basic familiarity with combinatorics, probability, and linear algebra. We will go over most of the mathematical concepts that we rely on.


SCHEDULE

MWF, 15:00 - 15:55, 103 Downs


INSTRUCTORS

Adam Sheffer
HARRY BATEMAN INSTRUCTOR IN MATHEMATICS
Sloan 276
626-395-4347


TA's

TBA


OFFICE HOURS

TBA


TEXTBOOKS

Detailed lecture notes would be uploaded before each class (for example, see last year's additive combinatorics lecture notes). Other related sources are Larry Guth's book on polynomial methods in combinatorics and Ze'ev Dvir's survey.


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
     
     
     

READING