Events

The Colmez Conjecture The Faltings height of an abelian variety is a fundamental invariant that was introduced in the proof of the Mordell conjecture.  Pierre Colmez formulated a conjectural interpretation …

Distributed Storage Erasure codes, originally designed to provide reliability against noise on communication channels, are now widely used in distributed storage systems. Distributed storage systems require the codes to have …

Coded Computing Large-scale distribute computing frameworks such as MapReduce and Spark employ massive parallelization of jobs. While parallelism drastically reduces computation time, slow or straggling nodes can become a bottleneck in job …

Rateless Codes Rateless fountain codes are a class of erasure codes where the source generates an unlimited stream of symbols until the data is recovered at the receiver. This rateless property …

Solved and unsolved problems in additive number theory This will be a survey of recent results in combinatorial and additive number theory. The central object is the set of sums of …

On reductions from subset sum problem to shortest vector problem. The shortest vector problem (SVP) is a fundamental problem in lattice theory and its applications in cryptography. The hardness of SVP is …