- Series
- Dissertation Defense
- Time
- Friday, July 17, 2015 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Albert Bush – School of Mathematics, Georgia Tech
- Organizer
- Albert Bush
The thesis investigates a version of the sum-product inequality studied by
Chang in which one tries to prove the h-fold sumset is large under the
assumption that the 2-fold product set is small. Previous bounds were
logarithmic in the exponent, and we prove the first super-logarithmic
bound. We will also discuss a new technique inspired by convex geometry to
find an order-preserving Freiman 2-isomorphism between a set with small
doubling and a small interval. Time permitting, we will discuss some
combinatorial applications of this result.