## Dr Kirsti Biggs

I am currently a postdoctoral researcher in analytic number theory at the Chalmers University of Technology / University of Gothenburg, working with Dr Julia Brandes.

My research involves the Hardy–Littlewood circle method and its application to Diophantine problems, particularly various analogues of Waring's problem.
I am also interested in Diophantine approximation and additive combinatorics.

Prior to this, I was a PhD student at the University of Bristol, working under the supervision of Professor Trevor Wooley.

### Preprints and Publications

My preprints on the arXiv

(with J. Brandes and K. Hughes) Reinforcing a philosophy: a counting approach to square functions over local fields

Efficient congruencing in ellipsephic sets: the general case, International Journal of Number Theory (2022)

Efficient congruencing in ellipsephic sets: the quadratic case, Acta Arithmetica (2021)

Almost equal summands in Waring's problem with shifts, Monatshefte für Mathematik (2019)

On the asymptotic formula in Waring's problem with shifts, Journal of Number Theory (2018)

Lower bounds for heights in relative Galois extensions (with S. Akhtari, K. Aktaş, A. Hamieh, K. Petersen, L. Thompson)
- Women in Numbers Europe II: Contributions to Number Theory and Arithmetic Geometry

### Recent and Upcoming Activities

Arithmetic (and) Harmonic Analysis, Institut Mittag-Leffler, May--June 2021

Online Hausdorff school on "The Circle Method: Entering its Second Century", Hausdorff Center for Mathematics, May 2021

N-CUBE Days XIII, Copenhagen and Zoom, November 2020

~~ AMS Spring Sectional Meeting, Purdue, April 2020~~

N-CUBE Days XI, Gothenberg, November 2019

Analytic Number Theory, Oberwolfach, November 2019

Topics in Rational and Integral Points, Basel, September 2019

Number Theory and Dynamics, Cambridge, March 2019

2019 Joint Mathematics Meetings, Baltimore, January 2019

### Contact Details

Mathematical Sciences, Chalmers Institute of Technology and University of Gothenburg, Chalmers tvärgata 3, 412 96 Gothenburg, Sweden.

biggs at chalmers dot se