Archive · 13 Aug 2025
Homeschooled Student Gains PhD Admission After Solving Math Theory
A 17-year-old named Hannah, who studied at home, solved a math problem that experts had struggled with for 40 years.
The problem was about how waves behave on curved surfaces.
Hannah showed that a common idea about these waves was wrong.
Because of this, she was accepted into a PhD program at the University of Maryland, skipping high school and college.
It's like she jumped ahead in school because she was so good at math.
Hannah Cairo, a 17-year-old homeschooled student, solved the Mizohata-Takeuchi conjecture.
The conjecture was a 40-year-old math problem in harmonic analysis.
Hannah disproved the conjecture by providing a counter-example.
She was accepted into the University of Maryland's PhD program without a degree.
Hannah was introduced to the conjecture by Professor Ruixiang Zhang.
- Who
- Hannah Cairo, a homeschooled student.
- What
- Hannah Cairo disproved the Mizohata-Takeuchi conjecture.
- When
- Her research was published in February and she was admitted to a PhD program after.
- Where
- University of Maryland PhD program.
- Why
- To pursue a PhD in mathematics after solving a long-standing mathematical problem.
Skepticism
Admiration
Reception
Skepticism
Some experts questioned how someone so young could achieve such a feat.
Admiration
Some experts congratulated her.
- Age
- 17
- Nationality
- Bahamian
- Education
- Homeschooled
- Problem Solved
- Mizohata-Takeuchi conjecture
- PhD Program
- University of Maryland