## Dr Kirsti Biggs

I am currently a Heilbronn Research Fellow at the University of Bristol, working in Analytic Number Theory.

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, also at the University of Bristol, working under the supervision of Professor Trevor Wooley.

### Preprints and Publications

My preprints on the arXiv

Efficient congruencing in ellipsephic sets: the general case

Efficient congruencing in ellipsephic sets: the quadratic case

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 Travel

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

Fry Building, Woodland Road, Bristol, BS8 1UG

kirsti dot biggs at bristol dot ac dot uk