Moduli Spaces and Rational Points

This page collects activities related to the EPSRC grant EP/K019279/1, Moduli Spaces and Rational Points.

Papers published during the grant period

• Bjorn Poonen, Damiano Testa, Ronald van Luijk Computing Néron-Severi groups and cycle class groups; Compositio Mathematica, 151 (2015), no. 4, 713-734.

• E. Victor Flynn and Damiano Testa Finite Weil restriction of curves; Monatsh. Math., 176 (2015), 197-218.

• Wouter Castryck, Marco Streng, Damiano Testa Curves in characteristic 2 with non-trivial 2-torsion; Advances in Mathematics of Communications 8(4), 479-495 (2014).

• Nils Bruin, E. Victor Flynn, Damiano Testa Descent via (3,3)-isogeny on Jacobians of genus 2 curves; Acta Arith. 165 (2014), 201-223.

• Cecília Salgado, Damiano Testa, Anthony Várilly-Alvarado On the unirationality of del Pezzo surfaces of degree two; Journal of the London Mathematical Society, 90:121-139, 2014.

Preprints written during the grant period

• Ciro Ciliberto, Andreas Leopold Knutsen, John Lesieutre, Victor Lozovanu, Rick Miranda, Yusuf Mustopa, Damiano Testa A few questions about curves on surfaces; Rend. Circ. Mat. Palermo (2) 66 (2017), no. 2, 195-204.

• Antonio Laface, Damiano Testa On minimal rational elliptic surfaces.

• Andrew Brooke-Taylor, Damiano Testa The infinite random simplicial complex.

Seminars, conferences, minicourses, workshops

Below is a chronological list of academic activities associated with the grant.

2015

• June 1-12, 2015 — Cabo Frío, Brazil II ELGA K3 surfaces arising from arithmetic problems

• May 5-7, 2015 — IMPA, Rio de Janeiro Two lectures on rational points

• March 27 - June 13, 2015 — IMPA, Rio de Janeiro Special Thematic Program on Algebraic Geometry

• February 9-13, 2015 — Università di Padova Conference: Recent advances in Linear series and Newton-Okounkov bodies

• February 5-6, 2015 — Università di Milano-Bicocca Conference: Geometria in Bicocca 2015 K3 surfaces arising from arithmetic problems

2014

• December 10, 2014 — Humboldt University, Berlin Algebraic geometry seminar K3 surfaces arising from arithmetic problems

• November 15-17, 2014 — Kobe, Japan Collaboration with Andrew Brooke-Taylor

• November 10-14, 2014 — Nagoya University Conference: K3, Enriques Surfaces and Related Topics

• November 6, 2014 — Oxford COW Seminar K3 surfaces arising from arithmetic problems

• October 15, 2014 — University of Nottingham Number theory and geometry seminar The Büchi K3 surface and its rational points

• September 8-9, 2014 — Università di Milano Workshop: Fibrations on algebraic varieties and related topics The Büchi K3 surface and its rational points

• August 1-16, 2014 — Thohoyandou, South Africa Masterclasses for Warwick in Africa

• July 14-18, 2014 — UNIS, Longyearbyen, Norway Conference: Frontiers of rationality

• June 30 - July 4, 2014 — University of Warwick Visit of Anthony Várilly-Alvarado

• June 12-19, 2014 — AUB, Beirut, Lebanon Collaboration with Martin Bright and Ronald van Luijk

• June 6-8, 2014 — University of Edinburgh Conference: Edge Days Certain rational elliptic fibrations and their exceptional curves

• May 26 - June 1, 2014 — Rice University Collaboration with Anthony Várilly-Alvarado and Mauricio Velasco

• May 12-16, 2014 — AIM, Palo Alto Workshop: Rational and integral points on higher-dimensional varieties Special hyperplane sections of Fermat hypersurfaces and sums of roots of unity

• April 30, 2014 — UGA, Athens, Georgia Algebraic Geometry Seminar The Büchi K3 surface and its rational points

• April 4-6, 2014 — Rice University TAGS 2014 The Büchi K3 surface and its rational points

• March 31 - June 1, 2014 — Rice University Visiting Brendan Hassett and Anthony Várilly-Alvarado

• February 18-21, 2014 — Teresópolis, Brazil Minicourse at LEGAL