Outline

• I run a research group at IST Austria, where I work at the interface of analytic number theory and Diophantine geometry. I organise the:
  • ✑ Mathematics Colloquium with Jan Maas
  • ✑ Algebraic Geometry & Number Theory Seminar with Tamas Hausel
  • ✑ Browning group working seminar

Preprints

• a. (With Bonolis and Huang) Density of rational points on some quadric bundle threefolds
• b. (With Sofos and Teräväinen) Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1
• c. (With Pierce and Schindler) Generalised quadratic forms over totally real number fields
• d. (With Bilu) A motivic circle method
• e. (With Shparlinski) Square-free values of random polynomials

Events

• Since 2022: Graz-ISTA Number Theory Number Theory Days, ISTA
• Jan 7-12, 2024: New directions in rational points , Chennai
• Jan-April, 2024: Analytic number theory, Mittag-Leffler, Stockholm

Editorial work

• ✑ Editor for Compositio Mathematica
• ✑ Editor for Commentarii Mathematici Helvetici
• ✑ Editor for Monatshefte für Mathematik

Ph.D. students

• Mike Harvey (2006-2010)
  Diophantine problems in many variables
• Dan Loughran (2007-2011)
  Manin's conjecture for del Pezzo surfaces
• Mike Swarbrick-Jones (2009-2013)
  Rational points on varieties over algebraic number fields
• Damaris Schindler (2010-13; with T. Wooley)
  On Diophantine equations involving norm forms and bihomogeneous forms
• Efthymios Sofos (2011-15; with A. Booker)
  Counting rational points on smooth cubic surfaces
• Vladimir Mitankin (2013-17)
  Integral points on affine surfaces
• Yuchao Wang (2013-2014; from Shandong University)
  On the saturation number for cubic surfaces
• Vinay Kumaraswamy (2014-18)
  Zeros of quadratic forms and the delta-method
• Raphael Steiner (2014-18; with A. Booker)
  The harmonic conjunction of automorphic forms and the Hardy-Littlewood circle method
• Adelina Manzateanu (2015-19)
  Rational points in function fields
• Nicholas Rome (2016-20)
  Local-global problems in Diophantine geometry
• Alec Shute (2018-22)
  Existence and density problems in Diophantine geometry: from norm forms to Campana points
• Jakob Glas (2020-24)
• Lena Wurzinger (2023-)

Postdocs

• Stephan Baier (2009-2011); now at Ramakrishna Mission Vivekananda University
• Lilian Matthiesen (2011-2013); now at KTH
• Sean Prendiville (2012-2013 and 2014-2015); now at Lancaster University
• Shuntaro Yamagishi (2017-2018; 2023-)
• Kevin Destagnol (2018-19); now at Université Paris-Saclay
• Francesca Balestrieri (2019-20); now at American University of Paris
• Dante Bonolis (2019-22); now at Duke University
• Tal Horesh (2019-22); now at ETH
• Julian Lyczak (2019-22); now at University of Bath
• Florian Wilsch (2019-22); now at Leibniz Universität Hannover
• Margaret Bilu (2020-22); now CNRS at Université de Bordeaux
• Zhizhong Huang (2021-22); now at Chinese Academy of Sciences
• Matteo Verzobio (2023-)
• Victor Wang (2023-)
• Stephanie Chan (2023-)
• Loïs Faisant (2023-)

Links

• [ArXiv/AG]   [ArXiv/NT]   [EMS]   [JonB]   [LMS]   [MSciN]   [NTW]