## Conspiracy Theories in Medicine

This lecture was part of the Institute for Advanced Study’s celebration of its eightieth anniversary, and took place during the events related to the Schools and Mathematics and Natural Sciences.

Didier Fassin, James D. Wolfensohn Professor, School of Social Science

Institute for Advanced Study

September 25, 2010

This lecture was part of the Institute for Advanced Study’s celebration of its eightieth anniversary, and took place during the events related to the Schools and Mathematics and Natural Sciences.

Nima Arkani-Hamed, Professor, School of Natural Sciences

Institute for Advanced Study

September 24, 2010

Jean Bourgain, Professor, School of Mathematics

Institute for Advanced Study

September 24, 2010

John Milnor

Co-Director, Institute for Mathematical Sciences, Stony Brook University

September 24, 2010

Vladimir Voevodsky, Professor, School of Mathematics

Institute for Advanced Study

September 25, 2010

This lecture was part of the Institute for Advanced Study’s celebration of its eightieth anniversary, and took place during the events related to the Schools of Mathematics and Natural Sciences.

Boaz Barak

Institute for Advanced Study

May 24, 2010

We consider the following two questions:

Madhur Tulsiani

Institute for Advanced Study

May 18, 2010

The small-set expansion conjecture introduced by Raghavendra and Steuerer is a natural hardness assumption concerning the problem of approximating edge expansion of small sets (of size $\delta n$) in graphs. It was shown to be intimately connected to the well-known Unique Games Conjecture.

Pursuing this line of research further, we obtain the following results:

Avi Wigderson

Institute for Advanced Study

May 25, 2010

The Stepanov method is an elementary method for proving bounds on the number of roots of polynomials. At its core is the following idea. To upper bound the number of roots of a polynomial f(x) in a field, one sets up an auxiliary polynomial F(x) , of (magically) low degree, which vanishes at the roots of f with high multiplicity. That appropriate F exits is usually proved by a dimension argument.

Amir Yehudayoff

Institute for Advanced Study

May 11, 2010

Benny Sudakov

University of California at Los Angeles

September 20, 2010