Jen Berg

Personal website

I have been at Bucknell since 2019. I spent spring 2023 as a Research Member at SLMath.

Educational Background

• University of Texas at Austin, Ph.D.
• University of Illinois at Urbana-Champaign, B.S.

Research interests

My scholarship blends tools from the areas of arithmetic, the study of polynomial equations and their solutions, with geometry, the study of shapes and their structures. Polynomial equations are formed by setting a polynomial equal to zero, and those where only integer solutions are considered are called Diophantine equations. My work often focuses on determining when various Diophantine equations (or their geometric avatars called algebraic varieties) have solutions or provide a definitive explanation for why no solutions can exist, usually by describing an obstruction. I am also broadly interested in number theory informed by computation and I regularly use computational software in my work.