معرفی
Jen Berg is an Associate Professor of Mathematics at Bucknell University, where she has held a faculty position since 2019. She spent spring 2023 as a Research Member at the Simons Laufer Mathematical Sciences Institute (SLMath), reflecting her active engagement in the mathematical community.
Education:
- Ph.D. in Mathematics, University of Texas at Austin, 2016
- B.S. in Mathematics, University of Illinois at Urbana-Champaign, 2010
Her research lies at the intersection of number theory and algebraic geometry, focusing on Diophantine equations and the existence of integer/rational solutions on algebraic varieties. She investigates obstructions to local-to-global principles, particularly through the Brauer-Manin obstruction framework, with significant contributions to understanding rational points on K3 surfaces and higher-dimensional varieties. Computational methods frequently complement her theoretical work.
Analysis of her 13 publications (2014-2025) reveals consistent exploration of rational/integral points, with recent work (2020-2025) expanding into coding theory applications and modular forms. Her research demonstrates increasing sophistication in handling obstructions across diverse algebraic structures while maintaining focus on foundational arithmetic geometry questions.
Awards and Recognition:
- No specific scientific awards documented in provided materials
Professor Berg co-organizes the Rethinking Number Theory workshop series and receives research support from the Simons Foundation. While student advising details are unavailable, her collaborative publications with prominent mathematicians indicate active mentorship and teamwork. She maintains strong institutional ties through her Bucknell affiliation and SLMath membership.
Her work continues to advance arithmetic geometry through innovative combinations of classical obstruction theory and modern computational approaches, as evidenced by her sustained publication record in top-tier journals.
