Written by: Karthik Prasad Seven Problems. 1 million dollars for each one solved. The Yang-Mills Mass Gap problem is one of the fabled Millenium Problems and is of great interest in mathematical physics. Its statement is…incomprehensible for most, filled with abstract terms: prove that for
By: Andrew D. Katson Definition Category theory, as invented in 1945, is a field of mathematics that works with objects and their relationships. A category is a set made up of multiple elements, called “objects”, and their “mappings” (5, 11). In figure 1, we see
Written by: Gloria Wang As an expanding field with a wide variety of applications, artificial intelligence (AI) has been a hot topic for decades. Machine learning has been applied to board games, language, and healthcare. But for the first time, researchers have applied AI to
Written by: Gautham Anne In 1877, George Cantor discovered that the number of points in a 2-dimensional plane is the same as the number of points in a 1-dimensional line. This is tremendously counterintuitive since a plane can have an infinite number of lines
Written by: Gautham Anne While watching boats travel by or a duck on a pond, one might wonder how the astonishing wake patterns emerge, such as the ones depicted in figure 1. One might also note that the wake patterns, regardless of whether it is
By: Madhav Parthasarathy Have you ever wondered how and why diseases spread? Well, the answer to that is Mathematical Epidemiology! Mathematical Epidemiology is the mathematical modeling of diseases to determine the rate at which people become infected with diseases. The study of infectious disease data
Written by Madhav Parthasarathy A partition of a natural number is the way of writing these numbers as the sum of other natural numbers. The first mathematician to introduce the topic of partitions was Gottfried Wilhelm Leibniz, who is more famously known as one of
Written by Matthew Niemiro Records on the study of geometry date back thousands of years. Between 2000and 1600 BC, ancient Babylonians studied the properties of triangles regardingratio and proportion, and developed what would become the PythagoreanTheorem long before Pythagoras (“The Origins of Geometry,” n.d.). Similargeometric