## 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.

### Talks and Presentations

"Waring's problem with shifts" - Where Geometry meets Number Theory, July 2017

"Waring's problem with shifts" - XXX^{th} Journées Arithmétiques, July 2017

"Waring's problem with shifts" - Linfoot seminar, University of Bristol, March 2017

"Waring's problem with shifts" - Number theory seminar, University of Manchester, March 2017

"Waring's problem with shifts" - Pure postgraduate seminar, University of Bristol, October 2016

"Waring's problem with shifts" - Young Researchers in Mathematics, St Andrews, August 2016

"The ends of prime numbers" - Postgraduate Two-Minute Talks (organiser), May 2016

"The Weil conjectures and lines on cubic hypersurfaces I" - Linfoot seminar, University of Bristol, November 2015

### Conferences and Workshops

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

LGBT STEMinar 2017, Sheffield, January 2017 (Poster, with Wren Robson: Perspectives on Number Theory)

Arbeitsgemeinschaft: Diophantine Approximation, Fractal Geometry and Dynamics, Oberwolfach, October 2016

Women in Numbers Europe 2, Leiden, September 2016

Young Researchers in Mathematics 2016, St Andrews, August 2016

CNTA XIV, Calgary, June 2016

British Mathematical Colloquium 2016, Bristol, March 2016

### Preprints

Lower bounds for heights in relative Galois extensions (with S. Akhtari, K. Aktaş, A. Hamieh, K. Petersen, L. Thompson)

On the asymptotic formula in Waring's problem with shifts

### Teaching

2016-17: Teaching Support Assistant for Foundations & Proof and Analysis 1A.

2015-16: Teaching Support Assistant for Foundations & Proof, Analysis 1A and 1B, and Introduction to Group Theory.

### Contact Details

Howard House, Queen's Avenue, Bristol, BS8 1SD

kirsti dot biggs at bristol dot ac dot uk