The City College of New YorkCCNY
Department of Mathematics
Division of Science

Recent Rich Internship Project

This is a list of recent Rich Internship Projects.

Summer 2024

  • Tabitha Ramirez, Investigation of Self Similar Groups, mentored by Benjamin Steinberg.
  • Sebastian Ortiz, Averages of Secular Coefficients of Random Unitary Matrices, mentored by Emma Bailey, CUNY Graduate Center.
  • Nicholas Videen, A Computer-Assisted Analysis of Algorithms in Approximation Theory, mentored by Joseph Bak.
  • Kadar He, Wandering Domains, mentored by Sergiy Merenkov.
  • Elliot Kimbrough-Perry, Existence of Phase Transitions for One-sided symbolic Systems, mentored by Tamara Kucherenko.
  • Lenise Kwain and Lycencia Ilderice, Minus-Plus Algebras: Determining their potential as platforms for cryptographic primitives, mentored by Vladimir Shpilrain.
  • Michelle Madera and Aidan Jimenez, Conceptual Modeling for Permafrost in Fairbanks, Alaska, mentored by Maria Sanchez-Muniz.
  • Danielle Seranno, Developing a Module for a College Math Algebra Textbook, mentored by Maria Sanchez-Muniz.
  • Luis Lopez, Free Groups, Topology and Biology, mentored by Alina Vdovina.

Summer 2023

  • Max Sehaumpai, Identification of individual actions potentials from individual neurons, mentored by Asohan Amarasingham.
  • Elliot Kimbrough-Perry, Multiple Phase Transitions on One-Sided Symbolic Systems, mentored by Tamara Kucherenko.
  • Jeremy Weissmann, Continued his work on his previous summer (2022) internship, mentored by Benjamin Steinberg.
  • Sevan Bharathan, Finding an alternate proof for Quillen's Theorem, mentored by Benjamin Steinberg.
  • Terry Guan, Investigating Field Computability Theory, mentored by Chris Conidis, Staten Island.
  • Nicholas Videen, Scientific Computing and Analysis of Climate Data, mentored by Weilin Li.
  • Adrian Cabreja , Investigating generalizations of the Groups, mentored by Alina Vdovina.
  • William Taylor, Applications to Group theory to other aspects of Cryptography, mentored by Vladimir Shpilrain.
  • Jiale Chen, Application of combinatorial algebra to constructing digital signature schemes with postquantum security, mentored by Vladimir Shpilrain.

Summer 2022.

  • Abdullah Khan, Modulus of Continuity of the Roof Function for Suspension Flows over the Full Shift, mentored by Tamara Kucherenko.
  • Daniel Pfeffer, Investigating the Properties of Periodic Orbits, mentored by Tamara Kucherenko.
  • Zhi Heng Liu, Discrete Groups, Expanding Graphs and Invariant Measures, mentored by Brooke Feigon.
  • Benjamin Tupper, Examining periodic polygonal surfaces, mentored by Pat Hooper.
  • Seth Foster, Construction of highly symmetric surfaces from polygons, mentored by Pat Hooper.
  • Adrian Cabreja, Investigation of the Geometric Statistic called the 'sprawl' of a Group with respect to a generating set, mentored by Sean Cleary.
  • Yussef Ibarra, mentored by Asohan Amarasingham.
  • Jeremy Weissmann, Defining Burnside Rings for Monoids, mentored by Benjamin Steinberg.
  • Gabriela Brown, Generalizing some of Steinberg's work on the Dedekind-Frobenius Determinant of a semigroup, mentored by Benjamin Steinberg.
  • Hong Zhaung and Sharmin Begum, Network Interface Based on Partially Observed Data, mentored by Shirshendu Chatterjee.
  • William Taylor and Jiale Chen, The Intersection of Group theory, Cryptography and Computation, mentored by Vladimir Shpilrain.
  • Micheal Gaziani, Tabitha Ramirez, and Alexander Cernei, Using Distance Functions for Dimension Reduction of Large Data Sets, mentored by Professor Sormani, Lehman.

Meet the Platonic Solids: Octahedron

The octahedron

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.

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