Julia Hartmann

Julia Hartmann is the Fay R. and Eugene L. Langberg Professor in Mathematics at the University of Pennsylvania's Department of Mathematics. Her research focuses on differential Galois theory, algebraic geometry, and arithmetic geometry with applications to field invariants and local-global principles. She has held this position since joining the university, actively contributing to the field through numerous co-authored publications and collaborative research projects.

Her work bridges abstract algebraic structures with concrete problems in differential equations and number theory. Notable contributions include studies on differential embedding problems, cohomology classes over semiglobal fields, and the application of patching techniques to quadratic forms and central simple algebras. She regularly teaches advanced courses like Math3140 (Advanced Linear Algebra).

Hartmann's research emphasizes connections between differential algebra and arithmetic geometry, often addressing questions about Galois groups, torsors, and obstructions in arithmetic curves. Her publications frequently appear in top journals such as the Israel Journal of Mathematics, Michigan Math. J., and Advances in Mathematics. She also contributes to educational initiatives, including advising early-career mathematicians on publication strategies and pipeline development in mathematics.