The Department of Mathematics presents the annual Kemeny Lecture Series:

**Mathematics Department**

**Princeton University**

Wednesday, April 24, 4pm

Thursday, April 25, 4pm

**The distribution of prime numbers**,

Tuesday, April 23, 7pm, Filene Auditorium,

There will be a reception from 8:30-11:30 at the Dent Cabin.This year marks the 100th anniversary of the proof of the prime number theorem. We give an account of this celebrated theorem as well as some recent developments.

**The spectral nature of the zeros of zeta functions**,

Wednesday, April 24, 4pm, 102 Bradley Hall,

There will be high tea at 3:30 in the Lounge of Bradley Hall.The distribution of the spacings between the zeros of the Riemann zeta function reveals a striking relation to the spectra of random matrices. We will describe and explain(to the extent that it is understood) this phenomenon.

**Spectra of Riemannian manifolds**,

Thursday, April 25, 4pm, 102 Bradley Hall,

There will be high tea at 3:30 in the Lounge of Bradley Hall.We survey some direct and inverse problems in spectral geometry, that is, the relation between a manifold and its spectrum.

Please contact Shunhui Zhu at (603)646-3678, or Shunhui.Zhu@Dartmouth.EDU if you have questions.