Welcome to the Jean Omniverse:
An Insight to the Omniverse of Ryan Jean
Ryan Jean
Georgia Institute of Technology
School of Mathematics
686 Cherry Street
Atlanta, GA 30332
Office:
Skiles 230
Hours:
By appointment via email at the bottom of this page
My name is Ryan Jean, and I earned my undergraduate degree in physics with a concentration in astrophysics and a minor in mathematics from the Georgia Institute of Technology in Atlanta, Georgia. My early interests centered around spacetime, black holes, dark matter, and dark energy. However, as I progressed in my studies, I became increasingly drawn to the mathematical structures underlying physical phenomena. This led me to shift my focus toward analyzing integral algorithms to uncover hidden patterns and relationships among special sequences, and to explore their unique behaviors under continuous mappings. Currently, I am pursuing graduate research in discrete mathematics at Georgia Tech under the guidance of my advisor, Ernest Croot. I am especially passionate about teaching mathematics and making the subject more accessible to individuals with disabilities, with the goal of fostering a more inclusive mathematical community. For me, there is no greater reward than helping curious minds discover and explore mathematical ideas. On this website, I hope to share my knowledge and the projects I undertake along the way.
Images
Ryan Jean and Sal Barone
Ryan Jean and John Rhys-Davies
Papers/Projects
The Partition Problem: The Two Trivial Cases (Video; Ryan Jean, Host: Isabella Prince, 2024-08-10)
What Can’t Be an Odd Perfect Number? (Video; Ryan Jean, Host: Isabella Prince, 2024-07-20)
What Is the Average Paradox of Infinity? (Video; Ryan Jean, Host: Isabella Prince, 2024-03-30)
Can We Reduce a Factorial to One? (Video; Ryan Jean, Host: Isabella Prince, 2024-01-27)
What Is the Sum of an Infinite Amount of Ones? (Video; Ryan Jean, Host: Isabella Prince, 2024-01-06)
What is the Gaussian Delta Function? (Video; Ryan Jean, Host: Isabella Prince, 2023-12-09)
Are There Infinitely Many Twin Primes? (Video; Ryan Jean, Host: Isabella Prince, 2023-10-07)
A Closed Prime Number Test Function (Paper; Ryan Jean, 2023-03-28)
Is There a Non-Integer Test Function? (Video; Ryan Jean, Host: Isabella Pontbriand, 2023-02-25)
Can We Force a Bijection? (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-09-27)
Five-Word Five-Letter Challenge (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-09-06)
How Can Nothing Produce Something? (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-08-17)
Does Ten Have a Friend? (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-03-29)
What Happens When We Remove the Floor? (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-03-09)
What Are All the Solutions to a Monomial? (Video; Ryan Jean, Host: Isabella Pontbriand, 2022-02-13)
When is an Image an Integer? (Video; Ryan Jean, Host: Isabella Pontbriand, 2021-12-11)
What is the Height of a Simplex? (Video; Ryan Jean, Host: Isabella Pontbriand, 2021-11-19)
How Do We Calculate a Vieta Vector? (Video; Ryan Jean, Host: Christina Martine, 2021-06-28)
A New Closed Formula for Doubly Triangular Numbers (Paper; Ryan Jean, 2021-03-28)
The Online Encyclopedia of Integer Sequences - A002817 (Formula Submission; Ryan Jean, 2021-03-20)
How Many Full Cups Are There? (Video; Ryan Jean, 2020-07-20)
How Many Cycles Does It Take to Reach a Single Digit? (Video; Ryan Jean, 2020-02-10)
Supreme Quarto (Paper; Ryan Jean, Supervisor: Salvador Barone, 2018-01-17)
Conferences/Conventions
Tech Topology Summer School 2023
2022 Georgia Topology Conference
Undergraduate Mathematics Research Conference 2022
2022 Graduate Student Topology and Geometry Conference
Combinatorial Algebra Meets Algebraic Combinatorics 2022
Tech Topology Summer School 2021
Courses
Courses In Progress
- Dissertation Research
Mathematics Courses Completed
- Calculus I: Differential Calculus
- Calculus II: Integral Calculus
- Calculus III: Multivariable Calculus
- Linear Algebra
- Differential Equations
- Fundamentals of Mathematical Proofs
- Applied Combinatorics
- Probability Theory
- Abstract Algebra I
- Introduction to Number Theory
- Analysis I
- Analysis II
- Complex Analysis
- Introduction to Topology
- Differential Geometry
- Algebra I
- Ordinary Differential Equations I
- Functions of a Complex Variable
- Real Analysis I
- Real Analysis II
- Algebraic Topology
- Differential Topology
- Enumerative Combinatorics
- Knots, 3-Manifolds, & 4-Manifolds
- Analytic Number Theory I
Physics Courses Completed
- Introduction to Physics I: Newtonian Mechanics
- Introduction to Physics II: Electromagnetivity
- Modern Physics
- Classical Mechanics
- Electromagnetostatics
- Electrodynamics
- Modern Optics Lab
- Thermodynamics
- Statistical Mechanics
- Quantum Mechanics I
- Quantum Mechanics II
- Atomic Physics
- Advanced Lab
- Stars, Galaxies, & Universe
- Stellar Astrophysics
- Relativity
- Cosmology
Influential Modern Scientists and Mathematicians
- Albert Einstein (special and general relativity)
- Hermann Minkowski (spacetime geometry)
- Henri Poincaré (chaos theory)
- Ludwig Boltzmann (entropy)
- Pierre-Simon Laplace (all-knowing demon)
- Wolfgang Pauli (Pauli Exclusion Principle)
- Srinivasa Ramanujan (infinite series)
- Karl Schwarzschild (black hole geometry)
- Werner Heisenberg (Uncertainty Principle)
- John Nash Jr. (number theory and cryptography)
- Richard Feynman (Principle of Least Action)
- Stephen Hawking (Big Bang and black holes)
- Alan Guth (inflation)
- Vera Rubin (dark matter)
- Leonard Susskind (Holographic Principle)
- Lawrence Krauss (dark energy)
- Neil deGrasse Tyson (black holes and galaxies)
- Sean Carroll (Arrow of Time)
Select Georgia Tech Mathematics Professor Pages
Thank You
Loren Williams and Ryan Jean
Loren Williams, an astrobiologist at Georgia Tech and my chemistry professor during my first semester as a freshman, has been a remarkable mentor to me ever since. He has consistently recognized my potential and encouraged me to push beyond my limits. I am deeply grateful for his unwavering support and guidance. His mentorship is one of the key reasons behind my dedication to my work. I sincerely thank him for investing his time in me and for being a constant source of encouragement throughout the years.
Contact
"What then is time? If no one asks me, I know what it is. If I wish to explain it to him who asks, I do not know."
- St. Augustine
If you would like to contact me, please do so by emailing me here.