Contrary to popular assumptions...research in mathematics doesn’t take talent or genius so much as hard work and obsession. “You get obsessed with certain problems, and you’re not able to stop thinking about them,” she says. “It’s curiosity-driven. Mathematicians study mathematics because they have to know.”
Results shared by Jason McCullough (Rider University) and Irena Peeva (Cornell University) are reshaping the field of commutative algebra: their counterexamples to the Eisenbud–Goto conjecture not only show that the conjectured bound does not hold but also that there is no bound on the regularity of irreducible varieties that is a polynomial function of the degree. Furthermore, McCullough and Peeva produced a beautiful and general machinery that is worthy of deeper study, and in fact they are working with collaborators on further papers.
Aaron Yeiser, a high school student at Perkiomen Valley High School, was award a second place Regeneron STS 2017 scholarship worth $175,000. Through the PRIMES mentoring program, Aaron has been doing research with Prof. Alex Townsend on a novel spectral element method for anisotropic meshes. Bravo, Aaron!