[1] Her 1971 doctoral dissertation, Mean Cesaro Summability of Laguerre and Hermite Series and Asymptotic Estimates of Laguerre and Hermite Polynomials, concerned Cesàro summation, Laguerre polynomials, and Hermite polynomials; her doctoral advisor was Benjamin Muckenhoupt, the namesake of Muckenhoupt weights.
[3] In 1967, before she completed her doctorate, Poiani joined the Saint Peter's University faculty as a mathematics instructor.
This was a national program that sponsored women in mathematics to speak to female high school students, with the goal of providing role models to the students and encourage them to continue in mathematics.
[5] Pi Mu Epsilon gave Poiani their C. C. MacDuffee Award for Distinguished Service in 1995.
[2] Saint Peter's University named Poiani an honorary alumna in 2017.