Education
Curriculum Vitae.pdfCurriculim Vitae
On May 21st, 2023 I Graduated from Ohio Northern University completing a Bachelor's of Science in Applied Mathematics as well as Minors in Computer Science and Theatre Technology and Design receiving Cum Laude Honors.
Research
Experiments in Greatest Prime Factor Sequences
Alexander Hare Capstone Paper Final.pdfEvery graduate at Ohio Northern University must conduct a capstone project in their senior year in order to complete their degree. This independent research of mine built upon the work done prior with GPF sequences in "A Strange Attractor of Primes" as seen below. In expanding the scope of observation both programs in Maple Computing Software and one built by myself in C++ were used for computational experimentation and analysis of these sequences.
For Ohio Northern University's 2022 Student Research colloqium, experimental research was conducted using the Mathematical Computing Software Maple under the supervision of Dr. Mihai Caragiu where it was presented in a poster format. This research identified and studied the relationship of an iterative map under the greatest prime factor function akin to the relationship between Sophie Germain and Safe primes. Research also included the study of cycles generated by this iterative process and the qualities that the members of that cycle portray.
Personal Projects
This interactive point plot displays the pizano period, or the length of a fibonnocci sequence modulo M, ploted on the Y axis, of starting seeds provided on the X and Z axis.
This program, adapted from a proof of concept written in C++ for the windows console, provides the ability to Encrypt plaintext messages or Decrypt encoded text provided the Vigenère key.