Damián Gvirtz
I have recently moved to Leibniz Universität Hannover. In November 2019, I officially received my PhD from the London School of Geometry and Number Theory at Imperial College London under the supervision of Alexei Skorobogatov. Previously, I studied in Cambridge and under Gebhard Böckle in Heidelberg.
Contact
d DOT [my last name]15 AT ic DOT ac DOT uk
Department of Mathematics
South Kensington Campus
Imperial College London
LONDON
SW7 2AZ
United Kingdom
Research interests
I work at the intersection of algebraic geometry and number theory on the behaviour of rational points on algebraic varieties. My past research interests have included zero-cycles, arithmetic of K3 surfaces, Brauer-Manin obstruction, density of rational points and p-adic
geometry.
Publications
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Quantitative arithmetic of diagonal degree 2 K3 surfaces (with Dan Loughran and Masahiro Nakahara)
52 pages, submitted.
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Cohomology and the Brauer groups of diagonal surfaces (with Alexei Skorobogatov)
47 pages, submitted. (full version)
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Arithmetic Surjectivity for Zero-Cycles
26 pages, to appear in Mathematical Research Letters.
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Perfectoid Covers of Abelian Varieties (with Clifford Blakestad, Ben Heuer, Daria Schedrina, Koji Shimizu, Peter Wear and
Zijian Yao)
36 pages, submitted.
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Mazur’s Conjecture and an Unexpected Rational Curve on Kummer Surfaces and Their Superelliptic Generalisations
12 pages, Acta Arithmetica 187 (2019), 189-200. (arXiv)
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Maximal Orders in Division Algebras (with Gebhard Böckle)
17 pages, LMS Journal of Computation and Mathematics. London Mathematical Society, 19(A), pp. 178–195.