CRYPTOGRAPHY DAY

Speaker: 

Kristin Lauter and Daniele Micciancio

Institution: 

Microsoft Research and UCSD, resp.

Time: 

Wednesday, May 13, 2015 - 1:30pm to 5:00pm

Host: 

Alice Silverberg

Location: 

NS2, room 2201

The second, third, and fourth talks at CRYPTOGRAPHY DAY are 1:30-5 pm in NS2, room 2210. 

CRYPTOGRAPHY DAY is a one-day meeting on the Mathematics of Cryptography sponsored by the Alfred P. Sloan Foundation.  All are encouraged/welcome to attend!

Note the change in room between the morning and afternoon talks.

Schedule:

11-12: Daniele Micciancio speaking on "Modern Lattice Cryptography: an introduction" in RH 440R

1:30-2:30: Kristin Lauter speaking on "Practical Applications of Homomorphic Encryption" in Natural Sciences II, room 2201

2:45-3:45: Daniele Micciancio speaking on "FHEW: Bootstrapping  Homomorphic Encryption in less than a Second" in Natural Sciences II, room 2201

4-5: Kristin Lauter speaking on "Some recent attacks on lattice-based crypto" in Natural Sciences II, room 2201

Modern Lattice Cryptography: an introduction

Speaker: 

Daniele Micciancio

Speaker Link: 

https://cseweb.ucsd.edu/~daniele/

Institution: 

UCSD

Time: 

Wednesday, May 13, 2015 - 11:00am to 12:00pm

Host: 

Alice Silverberg

Location: 

RH 440R

This is the first talk at CRYPTOGRAPHY DAY, a one-day meeting on the Mathematics of Cryptography sponsored by the Alfred P. Sloan Foundation.  It will be at the level of a colloquium talk. All are encouraged/welcome to attend!

For more information:

http://www.math.uci.edu/~asilverb/CryptoDay.html

Coating flow of viscous Newtonian liquids on a rotating cylinder

Speaker: 

Marina Chugunova

Institution: 

Claremont Graduate University

Time: 

Thursday, October 22, 2015 - 3:00pm

Location: 

RH 440R

In this talk I discuss the different types of models which originate from a lubrication approximation of viscous coating flow dynamics on the outer surface of a rotating cylinder, that is in the presence of a gravitational field. Analytical and numerical results related to existence, uniqueness and stability of solutions will be presented.

Galois theory, automorphic forms, and number fields with prescribed ramification

Speaker: 

Brian Hwang

Institution: 

Caltech

Time: 

Tuesday, April 28, 2015 - 2:00pm to 3:00pm

Location: 

RH 340P

A classical problem in Galois theory is a strong variant of
the Inverse Galois Problem: "What finite groups arise as the Galois
group of a finite Galois extension of the rational numbers, if you
impose the additional condition that the extension can only ramify at
finite set of primes?" This question is wide open in almost every
nonabelian case, and one reason is our lack of knowledge about how to
find number fields with prescribed ramification at fixed primes. While
such fields are often constructed to answer arithmetic questions,
there is currently no known way to systematically construct such
extensions in full generality.

However, there are some inspiring programs that are gaining ground on
this front. One method, initiated by Chenevier, is to construct such
number fields using Galois representations and their associated
automorphic representations via the Langlands correspondence. We will
explain the method, show how some recent advances in these subfields
allow us to gain some additional control over the number fields
constructed, and indicate how this brings us closer to our goal. As a
application, we will show how one can use this knowledge to study the
arithmetic of curves over number fields.

On stability of Hawkes Process with Applications

Speaker: 

Dmytro Karabash

Institution: 

NYU

Time: 

Wednesday, April 22, 2015 - 2:00pm to 3:45pm

Host: 

Matthew D. Foreman (he/him/his)

This talk is on a particular type of self-exciting process. In focus of this talk is study of stability under coefficients previously not touched in literature while local tails are proved as lemma. The tree structure and domination structure are observed and explicitly used in proofs. The main stability result lifts condition of 1-Lipschitz continuity that was previously imposed in Brémaud-Massoulié. First result replaces 1-Lipschitz condition with continuous modulus of continuity and second result allows jumps under some additional but natural assumptions. Generalizations and ramifications are provided. At the end we discuss applications to finance.

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