Homepage of Julia Brandes

About me

I am an associate senior lecturer in mathematics at Chalmers Tekniska Högskola and University of Gothenburg.

Previously, I was a postdoc at the University of Waterloo under the mentorship of Yu-Ru Liu, at Chalmers/University of Gothenburg under the guidance of Per Salberger, and at the University of Göttingen, where my mentor was Jörg Brüdern.
During the spring term 2017 I participated in the the MSRI programme Analytic Number Theory, where I held the Viterbi Postdoc position. My mentor in the programme was Ciprian Demeter.


I was awarded my PhD in 2014 at the University of Bristol. My supervisor was Trevor Wooley, and the topic was Local-Global Principles for Linear Spaces on Hypersurfaces.


Research

My research interests lie in the area of analytic number theory, especially applications of the circle method. This is a Fourier-analytic method for estimating the number of solutions of diophantine equations which has been first developed by Hardy and Littlewood in the 1920s. But even though the basic method is quite classical, its versatility makes it a strong tool that continues to yield new and exciting results. Furthermore, since the problem of solving polynomial equations occupies a very central position in not only number theory, but also many of its neighbouring fields such as geometry, combinatorics or ergodic theory, results obtained by the circle method or modifications thereof find applications in a wide range of problems.


Postdoc: Kirsti Biggs, PhD 2019 (Bristol)

Teaching

I am not teaching at the moment.


Bachelor theses
I am happy to supervise Bachelor projects ("kandidatarbete"). Interested candidates are invited to contact me.


Master's theses
I am happy to supervise Master's projects. Interested candidates are invited to contact me.

Contact

My contact details are:
Room:H:4018, Chalmers tvärgata 3
Address:Matematiska Vetenskaper
Chalmers tekniska högskola och Göteborgs universitet
412 96 Göteborg
Email:brjulia<at>chalmers.se
Phone: +46 31 772 5367