Seminar

"Private messaging, online shopping, and many other computer applications are heavily reliant on cryptography, a set of tools that allow us to prevent third parties from eavesdropping on or interfering with our communications. Turns out, many cryptography algorithms rely heavily on math! We will see how Fermat's Little Theorem, a simple number theory result from the 17th century, forms the basis of the RSA cryptosystem, which is one of the most important modern asymmetric-key cryptography algorithms".

In this talk we present two proofs for the famous Basel problem which concerns Euler's formula for $\zeta(2)$. These two approaches are based on the papers of Stark (1978-https://www.jstor.org/stable/2320072) and Moreno (2016-https://www.tandfonline.com/doi/abs/10.4169/college.math.j.47.2.134). 

An investigation into the humble trigon, including unique triangles with curious properties that yield surprising results and curious patterns. The three-pointed heroes of geometry have a lot to offer but are often overlooked and ignored without realising the marvels that lie within. From the etymology surrounding our geometrical friend, through to a number of not-famous-enough triangles and theorems associated with them, we'll slowly come to the inarguable conclusion that triangles could, in essence, beat all other shapes in a geometrical fight.

The concept of a net generalizes the concept of a sequence. We can talk about convergent nets in a similar way we talk about convergent sequences. Moreover, the concept of a filter allows us to study convergence of nets. These generalizations provide us with more powerful tools to better understand ideas studied in the Calculus courses.

https://pitt.zoom.us/j/93675582095

Meeting ID: 936 7558 2095

Noga Mosheiff will present the following paper: A Model to Predict COVID-19 Epidemics with Applications to South Korea, Italy, and Spain

https://pitt.zoom.us/j/98300182092

Password: nopizza

CHANGED TIME (2PM!!)

If $n<m$ and $f:\mathbb{R}^n \to \mathbb{R}^m$ is an injective (and reasonably nice) function then image of $f$ is an $n$-dimensional object sitting inside the larger $\mathbb{R}^m$. Examples: a curve or surface in $\mathbb{R}^3$. But what if we turn the tables and consider functions $f:\mathbb{R}^m \to \mathbb{R}^n$ where $m > n$? There is just not enough room and many points must map to a common target point. In this talk I will explain the precise mathematical meaning of the following and end with the Coarea Inequality: