Seminar

Title: The Iterated Local Model for Social Networks

Abstract:

On-line social networks such as Facebook and Twitter are often studied through friendships between users. Adversarial relationships also play an important role in the structure of these social networks.

Title: High-dimensional probability: Random vectors in high dimensions

Abstract:

In this talk, I will finish our discussion of concentration inequalities, particularly, I will discuss the sub-exponential distribution and state Bernstein’s inequality; thereby completing our study of large deviations.

Title: Hypergraphs, Entropy, and Inequalities

Abstract:

In this talk, we discuss a generalization of Shearer's entropy lemma for weighted hypergraphs due to Friedgut (2004).

Title: Is any knot not the unknot?

Abstract:

Ever wanted to learn something about knots? This is your chance! We'll talk about some basics of knot theory, including how to prove some intuitively `obvious' but mathematically tricky results. 

Title: Counting maximal independent sets in the hypercube

Abstract:

In this talk we count the number of maximal independent set in the hypercube. It is not hard to see that the n-dimensional hypercube contains at least 2^(n-2) maximal independent sets.

Title: High-dimensional probability: Random vectors in high dimensions

Abstract:

In this talk, I will finish our discussion of concentration inequalities, particularly, I will discuss the sub-exponential distribution and state Bernstein’s inequality; thereby completing our study of large deviations.

Title: Approximate Coloring of 2-Colorable 4-Uniform Hypergraphs

Abstract:

In this talk, we discuss several inapproximability results of Bhangale for 2-colorable 4-uniform hypergraphs.

Title: IETF encryption standards post-TLS 1.3

Abstract:

TLS is one of the most important security protocols online. It’s most famously used in web browsing, providing the S in HTTPS.

Title: Optimization in Data Analysis: Some Recent Developments

Abstract:

Optimization is vital to the modern revolution in data science, and techniques from optimization have become essential in formulating and solving a wide variety of data analysis problems. In turn, data science has caused a ferment of new research activity in optimization by posing challenging new problems and new contexts.

Title: Ideal clutters and k-wise intersecting families

Abstract:

A clutter is *ideal* if the corresponding set covering polyhedron has no fractional vertices, and it is *k-wise intersecting* if the members don’t have a common element but every k members do.