## Kirsti Biggs

I am an EPSRC-funded PhD student in Analytic Number Theory at the University of Bristol, working under the supervision of Professor Trevor Wooley.

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.

### Recent and Upcoming Travel

Topics in Rational and Integral Points, Basel, September 2019

Number Theory and Dynamics, Cambridge, March 2019

2019 Joint Mathematics Meetings, Baltimore, January 2019

2018 CMS Winter Meeting, Vancouver, December 2018

N-CUBE Days IX, Lund, November 2018

Arithmetic Ramsey Theory, Manchester, September 2018

New Trends in Analytic Number Theory, Exeter, August 2018

CNTA XV, Québec, July 2018

N-CUBE Week, Mittag-Leffler Institute, Stockholm, June 2018

Harmonic Analysis: New Developments on Oscillatory Integrals, Rhode Island, June 2018

Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry, Oberwolfach, October 2017

2017 Clay Research Conference and Workshops, Oxford, September 2017

Diophantine Problems (DIOP), Manchester, September 2017

Where Geometry meets Number Theory, Gothenburg, July 2017

XXX^{th} Journées Arithmétiques, Caen, July 2017

Thematic Program on Unlikely Intersections, Heights, and Efficient Congruencing, Fields Institute, Toronto, February-March 2017

### Preprints and Publications

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

### Contact Details

Fry Building, Woodland Road, Bristol, BS8 1UG

kirsti dot biggs at bristol dot ac dot uk