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Department of Mathematics
The City College of New York
NAC 8/133
Convent Ave at 138th Street
New York, NY 10031

Phone: (212) 650-5346
Fax: (212) 650-6294

CCNY :: Division of Science :: Mathematics

Department of Mathematics

Meet the Platonic Solids: Dodecahedron


The Platonic solids have been known since antiquity, and they play a prominent role in Plato's description of the physical world. The planar faces of each solid are identical polygons. Only equilateral triangles, squares and regular pentagons appear.

Although the platonic solids seem to be purely geometric objects, they embody a number of deep algebraic features. Their symmetries, for example, relate to the solution of polynomial equations of low degree.

If you would like to learn more about Platonic solids, you can start here.

Math Club


Welcome to the Math Club page!

Executive Committee, 2019-2020



How to Become a Math Club Member

Please join the Google Group and the Math Club group on Facebook. For any inquiries, email us at ccnymathclub(at)gmail(dot)com.

Announcement: Recruiting New Board Members

We are looking to put together a new set of executive board members to take over operations for the math club starting Fall 2019. For those interested, please get in touch with Pavel Javornik.

Prof. Daugherty's Advice for Applying to PhD Programs

Click here for some very comprehensive guidelines for continuing your education and really great advice for those interested in pursuing a PhD in mathematics.

Undergraduate Lecture Series:

The Math Department is organizing a student seminar designed to have faculty present accessible lectures to start conversations on advanced mathematics. These talks will be accessible to undergraduate students and cover a wide range of topics. For more information, please check out the seminar website or join the Google group to be notified!

Upcoming Events:

Rich Summer Internship participants Ryan Olsen and Abdullah Khan will be giving us 20 minute presentations on their work this summer!

Abdullah Khan:

My work with Professor Medvedev involved studying specific parts of a Theorem by Hrushovski in a paper by Hirotaka Kikyo “On Generic Predicates and Automorphisms” in logic. My goal over the summer was to learn the necessary abstract algebra to parse this theorem and understand it. My final report consists of the preliminary mathematics needed to do this and an exposition of the theorem by Hrushovski from the perspective of an introductory student of mathematics.

Ryan Olsen:

A theoretical cryptographic scheme based upon sending a string of bits, 0 and 1.

This protocol circumvents the computational hardness assumptions found in most cryptosystems used today, although with a slight loss in accuracy. Its implementation and further improvements will be discussed.

There will be pizza and refreshments!

Past Events:

We will be meeting this day to discuss what kinds of events you might want to see the Math Club host, as well as various opportunities for undergraduate students like the department's new 4+1 joint Bachelor's/Master's degree program. Come grab some pizza and meet some other math enthusiasts!

Rich Summer Internship participants Joe Winter and Samuel Young will be giving us 20 minute presentations on their work in two exciting fields.

Joe Winter:

My work focuses on the dynamical system known as the perturbed doubling map, a function on the complex plane that maps a complex number z to z-squared + c, where c is a complex number known as the perturbation constant. My talk will detail computational approaches to estimating and visualizing the Julia set of this map. I will also discuss strategies used to estimate periodic points of the map which are then used to explore the relation between c and the maximization of a particular potential.

Samuel Young:

Local Subgroup Structures of Abstract Commensurators The abstract commensurator of a group, Comm(G), generalizes the notion of the automorphism group Aut(G). We study a new variation of Comm(F2), which embeds in Comm(F2), which we show is not locally residually finite.

There will be pizza and refreshments!

We will show how the basic question of how to lay tiles in a room leads mathematicians to interesting questions and new concepts in geometry.

On May 3rd we will be inviting Tai-Danae Bradley and Jozef Dodziuk from the Grad Center, and Anna Tao from CCNY as panelists on the Friday, May 3 Graduate Panel. We will be asking them questions about the most important things you need to know for getting into a graduate program, and then open the floor for any questions you might have.

The AWM, Math Club, and Women in Computer Science are hosting a data science panel, where we will have professionals and academics at various levels talking about what it is like to be a data scientist. We invite everyone to come listen and ask questions.

The math club and AWM, alongside with Dr. Alice Medvedev, will be hosting an REU Awareness Event. She will be talking about the kinds of REUs available this summer, where to apply, and how to strengthen your application. REUs typically admit first semester sophomores to first semester seniors and range in difficulty.

The Division of Science will be hosting a [Research Opportunities Fair] in the Marshak cafe. The Math Club and other organizations will be tabling there from 12:15 and on. So feel free to come by!

We will be having some students presenting the work they did over the summer with the Math department in NAC 7/312 from 12:30 to 1:50. So if anyone wants to come hang out and discuss about the type of research undergraduates get into, feel free to come by. We'll also have food and refreshments.

We will be hosting an event in NAC 6/114, 12:30 - 1:50. We will have the chair, Michael Shub, professors Bourabee, Wolf, and Santoro talking about things they find interesting and what to expect in higher level math courses, as well as what you might do with a math degree. There will be free food, and everyone is welcome to attend!

For $n$-dimensional Riemannian manifolds $M$ with Ricci curvature bounded below by $-(n-1)$, the volume entropy is bounded above by $n-1$. If $M$ is compact, it is known that the equality holds if and only if $M$ is hyperbolic. We show the same maximal entropy rigidity result holds for a class of metric measure spaces known as $RCD^*(K,N$ spaces. While the upper bound follows quickly, the rigidity case is quite involved due to the lack of a smooth structure on these spaces.

In 1736, Euler was given a problem to which he said there is no solution. This problem laid the foundations of graph theory and prefigured the idea of topology. We will talk about this problem and why it was so significant along with some fun explorations into the world of graph theory!

We're currently putting together a list of all the events we've created, or been a part of. If you're interested, check back later!