Peter Koymans

Peter Koymans is a Research Fellow at Utrecht University's Mathematical Institute, funded by a Veni grant for "New methods in arithmetic statistics." He holds a PhD from Leiden University, supervised by Jan-Hendrik Evertse and Peter Stevenhagen. Koymans serves as an editor for Indagationes Mathematicae and organizes academic seminars on anabelian geometry and arithmetic statistics.

His research focuses on arithmetic statistics, analytic number theory, and algebraic number theory, with emphasis on Diophantine equations, class groups, and elliptic curves. Key methodologies include combinatorial approaches to Hilbert's 10th problem, distribution analysis of class groups, and the study of binary forms.

Koymans' publications demonstrate consistent focus on:

• Advanced techniques in arithmetic statistics (e.g., torsion bounds, distribution theorems)
• Diophantine problems (Fermat equations, integral points)
• Algebraic structures (elliptic curves, binary forms)
• Interdisciplinary connections with algebraic geometry and logic

Awards:

• Veni Grant (NWO)

Student Advising: Supervised 5+ graduate students including Margherita Piccolo (2019) and Joel Sommer (2024). Coordinates seminars and reading groups for early-career researchers.

Collaborations: Leads the WASP (Workshop on Arithmetic Statistics Problems) initiative and maintains extensive co-author networks across Europe and North America.