Per official university policy, we will unfortunately not be able to run the 2020 Summer Illinois Mathematics (SIM) Camp as previously planned. However, we will offer an online alternative, and are in the process of brainstorming what shape this might take. We will continue to update our website and Facebook page with more information as it becomes available. Thank you for your patience and please stay safe.

Topics for the online camp will tentatively be:

Classical Constructions: Learn to Draw Algebra

What can we do with a compass and a straightedge? These simple tools can be used to create shapes, do arithmetic, and prove fun facts about geometry. This course will teach students geometry as the ancient Greeks saw it, using only tools that were available then.

Counting to Infinity (Plus One!)

Is infinity a number greater than all other numbers, or is it the size of a set that is larger than all finite sets? Are these two notions the same, and how do we make them mathematically rigorous?  In this course, students will learn how to show that different infinite sets have different sizes; indeed, some infinities are bigger than others!  Along the way we will develop the basic elements of set theory and grapple with notions of orderings on infinite sets and maps between sets.

Counting, Coloring, and Graphs

In combinatorics, mathematicians answer the question "How many?" through various methods. They also study objects called graphs, which are sets of vertices connected by edges. Campers will learn about properties of graphs, coloring the vertices and edges of graphs, and how mathematicians count.

## SIM Camp Epsilon:

Classical Constructions: Learn to Draw Algebra

• Instructor: Joseph Malionek
• Assistant Instructor: TBA

Counting to Infinity (Plus One!)

• Instructor: Dania Morales
• Assistant Instructor: TBA

## SIM Camp Delta

Classical Constructions: Learn to Draw Algebra

• Instructor: Joseph Malionek
• Assistant Instructor: TBA

Counting, Coloring, and Graphs

• Instructor: Grace McCourt
• Assistant Instructor: TBA

## Instructors

Joseph Malionek will be teaching Classical Constructions: Learn to Draw Algebra at SIM Camps Epsilon and Delta. Joseph is a graduate student interested in low-dimensional topology and geometry, specifically the topology and geometry of 3-manifolds. Outside of math, he enjoys musical theater, playing video games, juggling, and reading.

Grace McCourt will be teaching the Counting, Coloring, and Graphs course at SIM Camp Delta and will be the program coordinator for SIM Camp Epsilon. Grace is a graduate student in mathematics interested in combinatorics and graph theory. Outside of math, she enjoys cooking, crocheting, and board/card games.

Dania Morales will be teaching the Counting to Infinity (Plus One!) course at SIM Camp Epsilon and will be the program coordinator for SIM Camp Delta.

TBA

## Organizers

Alexi Block Gorman is an assistant director for the 2020 SIM Camp. She was also an assistant director for the 2019 SIM Camp, and was an instructor for SIM Camps Delta and Omega in 2018. Alexi is a graduate student in mathematics working in logic on problems in model theory.  Her favorite theorem is Gödel's First Incompleteness theorem, because it guarantees that mathematicians will not be out of a job any time soon.

Grace Jaffe is the director of SIM Camp. She ran the Number Theory courses at SIM Camp Epsilon and Delta in 2019. Grace is a graduate student in mathematics interested in number theory, especially the Stern sequence and the Riemann zeta function. Outside of math, she likes singing, knitting, and baking.

Jenna Zomback is an assistant director for the 2020 SIM Camp. She was also the director for the 2019 SIM Camp, and was an instructor for SIM Camp Epsilon and an assistant program coordinator in 2018. Jenna is a graduate student in mathematics interested in descriptive set theory. When she's not doing math or teaching, she enjoys running, cooking, traveling, and fantasy football.

Philipp Hieronymi is a faculty organizer at SIM Camp. He is a Professor in the University of Illinois at Urbana-Champaign Department of Mathematics and director of the Illinois Geometry Lab.

Jennifer McNeilly is a faculty organizer at SIM Camp. She has been Director of the Math Merit Program for Emerging Scholars since 2001. She has won multiple teaching awards, primarily teaching courses at the precalculus level. She is also an advisor to the math majors in the secondary education program.

Jeremy Tyson is a faculty organizer at SIM Camp. He is a Professor and Chair of the University of Illinois at Urbana-Champaign Department of Mathematics.