معرفی
Peter Bruin is an Assistant Professor at the Mathematical Institute of Leiden University, specializing in algebra, geometry, and number theory. He is affiliated with the Quantum Software Consortium, an NWO Gravitation project, and the ALGANT Organisation. His research focuses on concrete arithmetic between geometry and number theory, with particular interest in elliptic curves, Galois representations, and modular forms.
Peter Bruin completed his PhD at Universiteit Leiden in 2010 with the thesis "Modular curves, Arakelov theory, algorithmic applications" under the supervision of Prof. dr. S. J. Edixhoven and Dr. R. S. de Jong. Prior to that, he earned his Master's degree from the same institution in 2006 with the thesis "Green functions on Riemann surfaces and an application to Arakelov theory." His academic journey includes postdoctoral positions at Université Paris-Sud 11, Institut des Hautes Études Scientifiques, Universität Zürich, and the University of Warwick, where he served as an Assistant Professor (Warwick Zeeman Lecturer).
Bruin's research interests lie at the intersection of algebraic geometry and number theory, with particular focus on elliptic curves, Galois representations, modular forms, and arithmetic geometry. His work often involves developing computational methods and software tools to explore theoretical questions in these areas. He has made significant contributions to understanding torsion structures of elliptic curves, L-functions, and the connections between modular curves and number fields. His research has applications in cryptography, particularly in lattice-based and post-quantum cryptographic systems.
His recent publications demonstrate a strong focus on the arithmetic properties of elliptic curves and their generalizations, with particular attention to torsion structures, modular curves, and the computational aspects of Galois representations. His work spans both theoretical developments and practical implementations, as evidenced by his creation of specialized mathematical software packages.
- Organized "An Expedition into Arithmetic Geometry" (2023) in memory of Bas Edixhoven
- Co-organized COUNT workshop (2023) on computations in number theory
- Organized 6th General Assembly of Quantum Software Consortium (2021)
- Organized Algorithms in Number Theory and Arithmetic Geometry workshop (2017)
As an educator, Bruin teaches a variety of courses including Linear Algebra, Topology, Modular Forms, and Representation Theory of Finite Groups. He also leads seminars on presenting and communicating mathematical concepts. His teaching philosophy emphasizes connecting theoretical concepts with practical applications, particularly in the emerging field of quantum computing.
