Past Events

I will describe some scary moments that have occurred in the history of elliptic curve cryptography almost from its inception; talk about some of the ironies of controversies in cryptography -- such as RSA's role as defender of strong encryption; and...

The last years have seen the proof of many results concerning the prime numbers. We will show how these results are all related to linear equations with prime indeterminates, and from then on, recount the history of the quantitative version of the...

I will discuss how sketching techniques from the data stream literature can be used to speed up well-studied algorithms for problems occurring in numerical linear algebra, such as least squares regression and approximate singular value decomposition...

We will present a surprising exact and truncated Perron summation formula as well as several other formulaes. We will proceed by comparing the relative strenghts of the smoothing method versus Perron summation.

Motohashi (following Selberg) developped in 1978 a method to prove the Hoheisel and Linnik theorem without any deep mention of the zeros. We will present this approach. The first lecture will be a sketch of the argument and will introduce the tools...

Motohashi (following Selberg) developped in 1978 a method to prove the Hoheisel and Linnik theorem without any deep mention of the zeros. We will present this approach. The first lecture will be a sketch of the argument and will introduce the tools...

The dichotomy between sparse and dense structures is one of the profound, yet fuzzy, features of contemporary mathematics and computer science. We present a framework for this phenomenon, which equivalently defines sparsity and density of structures...

If the average behaviour of the prime numbers is well known, the local one is much more mysterious, and many questions are not even amenable (as of today) to heuristics! We will address three questions: what is the largest number of primes in a given...

Dirichlet polynomials do not take large values at close-by points. The theory of large values of Dirichlet polynomials introduced by Montgomery in 1969 elaborates on this idea. We will present the large sieve argument of Montgomery, the dissection...

The talk will describe a recent mathematical/computational model for understanding aspects of cancer metastasis, initiated when primary tumor cells enter the vasculature and lymphatic system becoming circulating tumor cells (CTC's). The model is...