# Julia Brandes

Associate professor, Mathematical Sciences

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.