I am a PhD student in my last year in the algebra group at KU Leuven under the supervision of Arne Smeets (KU Leuven) and Daniel Loughran (U Bath).

My research focuses on rational points on varieties, a subject lying at the intersection of algebraic geometry and number theory. I use geometric, algebraic and analytic techniques in my work. More particularly, some of my research interests are:

• Brauer-Manin obstruction

• Counting problems related to rational points

• Campana points

• Rational and integral points on stacks

Contact:

Address: KU Leuven, Department of Mathematics, Celestijnenlaan 200B, Leuven 3001, Belgium

Email: Tim.Santens(at)kuleuven.be

Articles:

1. Integral points on affine quadric surfaces. [Arxiv], Journal de Théorie des Nombres de Bordeaux, 2022.

2. Diagonal quartic surfaces with a Brauer-Manin obstruction. [Arxiv], [Magma code], Compositio Mathematica, 2023.

3. The Brauer-Manin obstruction for stacky curves. [Arxiv].

4. Manin's conjecture for integral points on toric varieties. [Arxiv].