Joe Kramer-Miller

Joe Kramer-Miller is an Assistant Professor in the Department of Mathematics at Lehigh University. His contact details include the phone number 610.758.4376 and email jjk221@lehigh.edu, located in room 0017 of Chandler-Ullmann Hall. His research focuses on Algebra and Number Theory, with particular emphasis on arithmetic geometry, p-adic analysis, and Iwasawa theory. Current research interests include the study of Newton polygons on algebraic curves, Frobenius-torsion class group schemes, and the transcendence properties of exponential functions in modular arithmetic contexts.

Key research directions involve exploring zeros of zeta functions, monodromy of F-isocrystals, and p-adic estimates of L-functions and exponential sums. His work often intersects with geometric aspects of arithmetic, such as Torelli loci and Newton strata in moduli spaces. Recent articles highlight advancements in understanding local-to-global principles for Newton polygons and logarithmic decay properties of isocrystals.

No scientific awards or grants are explicitly listed in the provided information. He has not yet supervised any documented PhD or Master’s students, though this may reflect early career status rather than absence of advising activity.

Laboratory or collaborative team affiliations are not detailed in the text. Office location and contact information are provided for direct academic engagement.