About me

Hi, my name is Nick Rome, I am a final year PhD student at the University of Bristol, currently based at IST Austria, under the supervision of Prof. Tim Browning.

My research interests are in analytic number theory, both classically and in application to problems in Diophantine geometry and arithmetic statistics.

The latest version of my CV is available here.

Research

Publications and Pre-prints

  1. The Hasse Norm Principle in Biquadratics, arXiv, article.
    Journal de Théorie des Nombres de Bordeaux. 30 (2018), no. 3, 947-964.


  2. A Positive Proportion of Hasse Principle Failures in a Family of Châtelet Surfaces, arXiv, article.
    International Journal of Number Theory. 15 (2019), no. 6, 1237-1249.


  3. Fields of definition of rational curves of a given degree, (with David Holmes), arXiv.
    Accepted, Journal de Théorie des Nombres de Bordeaux.

  4. On the diffraction measure of k-free integers, (with Efthymios Sofos), arXiv.

Conferences

Future conferences I will be attending

  • The Circle Method: Entering its Second Century; Bonn, Germany; 29 June - 3 July 2020.

  • Analytic and Geometric Number Theory; Bath, UK; 11-12 June 2020.


Some recently attended conferences

  • Trace Functions and their Applications; Monte Verita, Switzerland; 13-18 January 2019.

  • Rational points on Fano and similar varieties; IHP, France; 20-24 May 2019.

  • Rational points on irrational varieties; IHP, France; 24-28 June 2019.

  • Symposium on Analytic Number Theory; Calabria, Italy; 8-12 July 2019.

  • Topics in Rational and Integral Points; Basel, Switzerland; 2-13 September 2019.

  • ÖMG Annual Meeting 2019; Dornbirn, Austria; 16-21 September 2019.

Contact Information

School of Mathematics, Fry Building, Woodland Road, Bristol, UK, BS8 1UG.

IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria.