Daniel Larsen (mathematician)

Larsen was born in 2003 to Indiana University Bloomington mathematics professors Michael J. Larsen and Ayelet Lindenstrauss (sister of Elon Lindenstrauss), and grew up in Bloomington, Indiana. He had a strong interest in mathematics as a child, inspired by the mathematician background of both his parents. While attending Bloomington High School South, he became the youngest accepted contributor to The New York Times crossword puzzle in February 2017 and ended up submitting 11 approved puzzles before his graduation from high school. He applied to and became a finalist in the 2022 Regeneron Science Talent Search for his published research on Carmichael numbers and ultimately won 4th place in the competition, In the fall of 2022, he began attending university at the Massachusetts Institute of Technology (MIT). ==Career and research==

During his teenage years, after watching a documentary about Yitang Zhang, Larsen became interested in number theory and the twin primes conjecture in particular. The subsequent strengthening of Zhang's method by James Maynard and Terence Tao not long after rekindled his desire to better understand the math involved. He found it too complex at that time, and it wasn't until after reading a paper in February 2021 on Carmichael numbers that he gained insight on the fundamentals of the problem. on the open access repository arXiv that made a more consolidated proof of Maynard and Tao's postulate but involving Carmichael numbers into the twin primes conjecture and attempting to shorten the distance between the numbers per Bertrand's postulate. He concretely showed that for any {\displaystyle \delta >0} and sufficiently large {\displaystyle x} in terms of {\displaystyle \delta }, there will always be at least :{\displaystyle \exp {\left({\frac {\log {x}}{(\log \log {x})^{2+\delta }}}\right)}} Carmichael numbers between {\displaystyle x} and :{\displaystyle x+{\frac {x}{(\log {x})^{\frac {1}{2+\delta }}}}.} He then emailed a copy of the paper to mathematician Andrew Granville and others involved in number theory research. ==References==