# Past Events

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## November 2018

### GEMS Workshop: Exploring the fascinating world of prime numbers, Part I with Professor Adolfo Rumbos, from Pomona College.

TOPIC: Exploring the fascinating world of prime numbers, Part I The study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries. Are there formulas that generate prime numbers? Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes? In this series of two workshops, beginning with the proof of the infinitude of the primes and modular arithmetic, we explore some facts about prime numbers, solve some puzzles related to primes,…

Find out more »## December 2018

### GEMS Workshop: Exploring the fascinating world of prime numbers, Part II with Professor Adolfo Rumbos, from Pomona College.

TOPIC: Exploring the fascinating world of prime numbers, Part II The study of patterns in the sequence of prime numbers has fascinated mathematicians for centuries. Are there formulas that generate prime numbers? Are there patterns in the distribution of prime numbers and the distribution of gaps between consecutive primes? In this series of two workshops, beginning with the proof of the infinitude of the primes and modular arithmetic, we explore some facts about prime numbers, solve some puzzles related to…

Find out more »## February 2019

### GEMS Workshop: Graph Theory, Part I with Professor Michael Orrison, from Harvey Mudd College

TOPIC: Graph Theory, Part I On the surface, graphs seem to be some of the simplest objects you might encounter in mathematics. After all, they are made up of just two kinds of parts, vertices and edges, and those parts fit together in simple ways. But appearances can be deceiving! In this series of two workshops, we’ll explore several surprising facts about graphs. Along the way, we’ll see how graphs arise in a variety of settings, and how they give…

Find out more »## March 2019

### GEMS Workshop: Graph Theory, Part II with Professor Michael Orrison, from Harvey Mudd College

TOPIC: Graph Theory, Part II On the surface, graphs seem to be some of the simplest objects you might encounter in mathematics. After all, they are made up of just two kinds of parts, vertices and edges, and those parts fit together in simple ways. But appearances can be deceiving! In this series of two workshops, we’ll explore several surprising facts about graphs. Along the way, we’ll see how graphs arise in a variety of settings, and how they give…

Find out more »## April 2019

### GEMS Workshop: “Graphs, matrices, and recurrences” with Professor Lucas Bang, from Harvey Mudd College

TOPIC: Graphs, matrices, and recurrences Abstract: In mathematics, we are often surprised to find that problems that look very different are actually the same problem in a different guise! In this seminar, we will build on the previous discussions about graph theory and describe how other areas of math are closely related to graphs. Specifically, we will learn how graph problems can be translated to and from matrix problems. We will also see how both graphs and matrices are related…

Find out more »## October 2019

### GEMS Workshop: Symmetry with Professor Michael Orrison, from Harvey Mudd College

TOPIC: Symmetry Symmetry seems to be an important idea in mathematics, but how do mathematicians think about symmetry? In this workshop, we’ll talk about mathematical objects called groups, see how they are used to describe symmetry, and then put them to work to help us answer some nontrivial counting problems. WHAT IS GEMS: The Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science. GEMS meets…

Find out more »## November 2019

### GEMS Workshop: Mathematics of Information with Professor Lucas Bang of Harvey Mudd College

TOPIC: The Mathematics of Information We are surrounded by information. Words in books, ones and zeros in computers, mathematical equations, and DNA sequences are all examples of information, but can we say something more about it? In this workshop, we will learn about the mathematics of information, see how it is related to concepts from physics and artificial intelligence, and explore how it can be used to solve games. WHAT IS GEMS: The Gateway to Exploring Mathematics program (GEMS) is…

Find out more »## December 2019

### GEMS Workshop: Working Together without a Leader with Professor Jasper Weinburd of Harvey Mudd College

TOPIC: Working Together without a Leader Bees all work together by communicating and obeying the orders of the Queen. Other animals gather in swarms, flocks, or schools and move in complicated ways without any leader at all. In a school of fish, each one is identical and they all follow the same simple rules. Yet they still manage to form tight bait balls and make sharp turns in unison. So a school of fish is more than just a group of fish;…

Find out more »## February 2020

### GEMS Workshop: Superheroes vs. Supercomputers with Professor Jeho Park of Claremont McKenna College

TOPIC: Superheroes vs. Supercomputers Superheroes like Wonder Woman, Black Panther, Superman, and Captain Marvel, just to name a few, all have "super" power and they save the world from "super"-villains. Well, just one catch--they are not real. In our real world, there are computers built for super power to save the (real) world. In this talk, you will be introduced to "super"computers built to defeat "super"villains (i.e., super difficult problems). To understand supercomputing, you will learn some (or all) of…

Find out more »## March 2020

### GEMS Workshop: The Mathematics of Reapportionment and Census Data with Professor Adolfo Rumbos of Pomona College

TOPIC: The Mathematics of Reapportionment and Census Data Every ten years, the United States Census Bureau conducts a count of all persons living in the United States; one of those population counts will be carried out this year (2020). This Census is mandated by the US Constitution; it counts all people residing in the United States, regardless of citizenship or immigration status. The data collected from the Census are used to make sure that everyone is equally represented in our…

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