Jennifer Berg

Assistant Professor of Mathematics
Arithmetic geometry

I joined Bucknell in 2019 after I was an RTG postdoctoral instructor at Rice University for three years.

Educational Background

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

Research interests

I specialize in arithmetic geometry, an area which blends tools from number theory and algebraic geometry to study algebraic varieties, spaces defined by the vanishing of polynomial equations. Loosely speaking, the arithmetic of polynomial equations (e.g. the existence of rational solutions) is governed by the geometry (e.g. curvature, symmetries) of the corresponding variety. My research centers on elucidating the arithmetic of varieties such as K3 surfaces whose geometry is of intermediate type, accessible yet still mysterious. I regularly use computational software to assist in discovering obstructions to the existence of rational solutions, or meaningfully describing structure when solutions do exist.

Jen Berg's website

Location

Olin 471