• Compactness in Abelian Group Theory

• Project Year: 2025
• REU Student (s):   Ava Ostrem | Rutgers University-New Brunswick NJ  
• Student 1 Institution: Rutgers University-New Brunswick
• Project Mentor: Filippo Calderoni
• Project Mentor Area: Mathematics
• Project Abstract: We worked on large cardinals and compactness theorems in abelian group theory. More specifically, we generalize two classical compactness results for free abelian groups to the broader context of direct sums of cyclic groups.