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

  1. Quantitative arithmetic of diagonal degree 2 K3 surfaces (with Dan Loughran and Masahiro Nakahara)
    52 pages, submitted.
  2. Cohomology and the Brauer groups of diagonal surfaces (with Alexei Skorobogatov)
    47 pages, submitted. (full version)
  3. Arithmetic Surjectivity for Zero-Cycles
    26 pages, to appear in Mathematical Research Letters.
  4. Perfectoid Covers of Abelian Varieties (with Clifford Blakestad, Ben Heuer, Daria Schedrina, Koji Shimizu, Peter Wear and Zijian Yao)
    36 pages, submitted.
  5. Mazur’s Conjecture and an Unexpected Rational Curve on Kummer Surfaces and Their Superelliptic Generalisations
    12 pages, Acta Arithmetica 187 (2019), 189-200. (arXiv)
  6. Maximal Orders in Division Algebras (with Gebhard Böckle)
    17 pages, LMS Journal of Computation and Mathematics. London Mathematical Society, 19(A), pp. 178–195.

Travel

A list of conferences where I have been/expect to be.

Other

A Horizontal Introduction to Algebraic Stacks: An expository essay I wrote on algebraic stacks. None of the content is original but I have been told that it is a useful resource to learn the notorious subject. (Did I mention it has pretty pictures?)

I co-founded and organised the London Junior Number Theory Seminar. Here is the old webpage.

Every week I sing with other mathematicians, mostly early music. If you live in the London area, why not join us?

In my school years, I profited a lot from gifted education programmes and later, I became involved in many of them myself as a mentor/tutor/teacher. Some of my favourites with the longest lasting impact are International Summer Science Institute, Life-Science Lab, Hector-Seminar, Deutsche SchülerAkademie, Science-Academy and Bundeswettbewerb Mathematik