Greg Knapp

Number Theory

Most of my research attention is devoted to number theory, where my interests include diophantine approximation, height functions, the geometry of numbers, and other topics.  I currently have no publications, but I am writing a paper which I hope will be complete in February 2022.  My advisor is Shabnam Akhtari.

Logic

I did my master's thesis under Colin McLarty at Case Western Reserve University in 2017.  I am currently working on completing some of the finer details with Zach Jandrasi and I hope to publish the results some time in 2022.

"Minkowski's Linear Forms Theorem in Elementary Function Arithmetic." Electronic Thesis or Dissertation. Case Western Reserve University, 2017. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1495545998803274