# Per Salberger

**Full Professor at Algebra and geometry**

Per Salberger is active in the research group in algebraic geometry and number theory. His recent research concerns the density of integral solutions of systems of Diophantine equations with infinitely many solutions. One studies then the asymptotic behaviour of the number of solutions in boxes when the sizes of the boxes increase. The methods used by Salberger combine algebraic geometry and analytic number theory.

Salberger is also collaborating with members of the research groups in complex analysis and fundamental physics at Chalmers.

**Source: chalmers.se**

Showing 11 publications

**2021**

Chapter VI: On the Determinant Method and Geometric Invariant Theory

**Per Salberger**

**2018**

The Manin-Peyre formula for a certain biprojective threefold

**Valentin Blomer, Joerg Bruedern, Per Salberger**

**2016**

Counting rational points on the Cayley ruled cubic

**R. de la Bretèche, T.D. Browning, Per Salberger**

**2015**

Uniform bounds for rational points on cubic hypersurfaces

**Per Salberger**

**2014**

On a certain senary cubic form

**V. Blomer, J. Brudern, Per Salberger**

**2010**

Rational points on complete intersections of higher degree, and mean values of Weyl sums

**Per Salberger, T. D. Wooley**

**2008**

Rational points of bounded height on projective surfaces

**Per Salberger**

**2007**

On the density of rational and integral points on algebraic varieties

**Per Salberger**

**2007**

Rational points of bounded height on threefolds

**Per Salberger**

**2006**

Counting rational points on algebraic varieties

**Per Salberger, Tim Browning, Roger Heath-Brown**

**2005**

Counting rational points on hypersurfaces of low dimension

**Per Salberger**

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Showing 1 research projects

**2011–2013**

Asymptotics for solutions of Diophantine equations

**Per Salberger**Algebra and geometry

**Swedish Research Council (VR)**