Ryan Jean |
Georgia Institute of Technology Office: Hours: |
My name is Ryan Jean and I received my undergraduate degree at the Georgia Institute of Technology in Atlanta, Georgia, in physics with a concentration in astrophysics and a minor in mathematics. My interests began in spacetime, black holes, dark matter, and dark energy. However, during the course of my studies, I became more fascinated by the mathematics behind the physics. So I decided to switch my focus to analyzing integral algorithms to determine their exact closed forms and observe their consequences under continuous mappings. I am a graduate student at Georgia Tech studying pure mathematics under the counsel of Ernest Croot. My passion is doing research in discrete mathematics and teaching mathematics to our future generations, incorporating accessibility to assist those with disabilities to be more active in the mathematics community. Nothing is more rewarding than to impart knowledge on those who are motivated to seek it. On this website, I wish to share my knowledge and projects that I embark.
Ryan Jean and Sal Barone | Ryan Jean and John Rhys-Davies (Professor Arturo) |
Papers/Projects
The Partition Problem: The Two Trivial Cases (Video; Ryan Jean, Host: Isabella Prince, 2024-08-10)
What Canâ€™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 In Progress
- Ordinary Differential Equations I
- Enumerative Combinatorics
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
- Functions of a Complex Variable
- Real Analysis I
- Real Analysis II
- Algebraic Topology
- Differential Topology
- Knots, 3-Manifolds, & 4-Manifolds
- Analytic Number Theory
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 PoincarĂ© (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 my first semester as a freshman, has been a wonderful mentor to me ever since. He has always seen great potential in me and has always encouraged me to strive to be my best. I certainly appreciate him wholeheartedly as he is one of the main reasons for my dedication to my work. I thank him for taking the time to mentor me and being there for me throughout the years.
"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.