معرفی
Nils Bruin is a Professor in the Department of Mathematics at Simon Fraser University, where he has been a faculty member since 2003, rising from Assistant to Full Professor. He is affiliated with the SFU Algebraic and Arithmetic Geometry group, the SFU Number Theory group, and the Centre for Experimental and Computational Mathematics (CECM). He also serves as an Associate Editor for the journal Research in Number Theory.
- Ph.D. in Mathematics, University of Leiden, 1999
- M.Sc. in Mathematics, University of Leiden, 1995
His research lies at the intersection of number theory and algebraic geometry, with a focus on Diophantine equations, rational points on algebraic varieties, Jacobians of curves, and computational methods in arithmetic geometry. He specializes in techniques such as Chabauty methods, descent via isogeny, and the study of Prym and symmetric differentials. His work often bridges theoretical insights with algorithmic implementation.
The recent publications highlight a consistent focus on explicit computation in arithmetic geometry, particularly concerning genus 2 and genus 4 curves, endomorphism rings, descent methods, and their applications to hyperbolicity and rational points. His research combines deep theoretical number theory with practical computational tools, often implemented in systems like Magma.
He has received the Stieltjes Prize (1999) for best thesis and the C.J. Kok Prize (1999) for research on covering techniques in number theory.
Bruin has advised numerous graduate students, including M.Sc. and Ph.D. candidates, on topics such as 2-isogenies, Brauer-Severi varieties, and arithmetic aspects of the Burkhardt quartic. His work is supported by collaborations with leading mathematicians and participation in research seminars and workshops.
He is a key member of the SFU Number Theory and Algebraic Geometry (NTAG) seminar and has contributed to software and computational tools for algebraic geometry and number theory.
