Julia Brandes

Senior Lecturer at Algebra and geometry

My research interests lie in the area of analytic number theory, especially applications of the Hardy-Littlewood circle method. This is a Fourier-analytic method for estimating the number of solutions of diophantine equations which has been developed in the 1920s. But although the basic method is quite classical, its versatility makes it a strong tool that continues to yield new and exciting results. Furthermore, since polynomial equations occupy a central position in many fields of mathematics, results obtained by the circle method find applications in a wide range of problems.

Source: chalmers.se

Showing 6 publications


Rational lines on cubic hypersurfaces

Julia Brandes, Rainer Dietmann
Mathematical Proceedings of the Cambridge Philosophical Society. Vol. In Press
Journal article

On the number of linear spaces on hypersurfaces with a prescribed discriminant

Julia Brandes
Mathematische Zeitschrift. Vol. 289 (3-4), p. 803-827
Journal article

Vinogradov systems with a slice off

Julia Brandes, Trevor D. Wooley
Mathematika. Vol. 63 (3), p. 797-817
Journal article

Simultaneous Additive Equations: Repeated and Differing Degrees

Julia Brandes, S. T. Parsell
Canadian Journal of Mathematics. Vol. 69 (2), p. 258-283
Journal article

Linear spaces on hypersurfaces over number fields

Julia Brandes
Michigan Mathematical Journal. Vol. 66 (4), p. 769-784
Journal article

The Hasse Principle for Systems of Quadratic and Cubic Diagonal Equations

Julia Brandes
Quarterly Journal of Mathematics. Vol. 68 (3), p. 831-850
Journal article

Download publicaton list

You can download this list to your computer.

Filter and download publication list

As logged in user (Chalmers employee) you find more export functions in MyResearch.

You may also import these directly to Zotero or Mendeley by using a browser plugin. These are found herer:

Zotero Connector
Mendeley Web Importer

Showing 1 research projects


Higher-dimensional structures on hypersurfaces

Julia Brandes Algebra and geometry
Swedish Research Council (VR)

There might be more projects where Julia Brandes participates, but you have to be logged in as a Chalmers employee to see them.