Math 497A - Honors MASS Algebra
Introduction to Ramsey Theory
Instructor: Jan Reimann, Assistant Professor of Mathematics
TA: Matt Katz
MWRF 10:10 - 11:00
Description: The course gives a basic introduction to Ramsey Theory and its applications in number theory, logic, and combinatorics
Readings: No textbook will be used only lecture notes.
Math 497B - Honors MASS Analysis
Spaces: from geometry to analysis and back
Instructor: Anatole Katok, Raymond Shibley Professor of Mathematics
TA: Paul Siegel
MWRF 11:15 - 12:05
Description: We will show how to translate problems of analysis, i.e. properties of functions such as differentiation, integration, expansion into series of various kinds and suchlike, into geometric problems in certain infinite-dimensional spaces. Geometry of those spaces will be studied using both analogies and insights coming from the familiar finite-dimensional situations (such as convexity) and new features associated with infinite dimension, e.g. reflexivity or its absence.
Math 497C - Honors MASS Geometry
From Euclid to Alexandrov; a guided tour
Instructor: Anton Petrunin, Associate Professor of Mathematics
TA: Allan Yashinski
MWRF 1:25 - 2:15
Description: Flexible and rigid polyhedral; piecewise linear isometries; Nash—Kuiper type theorems; intrinsic metric of convex surface; beginning of Alexandrov geometry.
- A. Alexandrov. Convex polyhedra.
- D. Burago, Yu. Burago, S. Ivanov. A course in metric geometry.