I am a Lecturer (equivalent to a U.S. Assistant Professor) in Pure Mathematics at the University of Glasgow.
Contact
damian[insert a dot here]gvirtz@glasgow.ac.uk
Room 209B
School of Mathematics and Statistics
University of Glasgow
University Place
Glasgow G12 8QQ
United Kingdom
Tel: 01413302981
Research
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 K3 surfaces,
zero-cycles, Brauer-Manin obstruction, density of rational points, the Hilbert Property and
p-adic geometry.
Publications and preprints
Past papers of mine have appeared under the author name Damián Gvirtz.
Hilbert modular surfaces with the Hilbert property (with Julian Demeio) in preparation.
Perfectoid Covers of Abelian Varieties (with Clifford Blakestad, Ben Heuer, Daria Schedrina, Koji Shimizu, Peter Wear and
Zijian Yao)
32 pages, Mathematical Research Letters, Vol. 29, No. 3 (2022). (arXiv)
Topics in the arithmetic of hypersurfaces and K3 surfaces PhD thesis, Imperial College, November 2019.
On integral models of τ-sheaves for Drinfeld-Hayes modules in the elliptic
curve case undergraduate research thesis, February 2014.
Conference organisation
I am organising a mini-conference on Rational Points in Glasgow, on 29th May 2024. The conference website is here.
PhD applicants
I welcome enquiries from potential PhD students. Please send me an informal email detailing your experience and interests (e.g. as a Curriculum Vitae).
Teaching
I am teaching MATHEMATICS 2A: MULTIVARIABLE CALCULUS MATHS2001 in the first semester of the academic session 2022-23. All course materials will be available on Moodle.
Travel
A list of conferences and meetings where I have been/expect to be.
Frontiers in Arithmetic Dynamics, 4th to 8th May 2024, BICMR
Degree d points on algebraic surfaces, 18th to 22nd March 2024, AIM
New Directions in Rational Points, 8th to 12th January 2024, Chennai Mathematical Institute
Workshop on Arithmetic and Algebra of Rational Points, 11th to 15th September 2023, University of Bristol
Specializations in Algebra and Number Theory, 26th to 29th June 2023, CMS Technion
Arithmetic Geometry, Cryptography and Coding Theory, 5th to 9th June 2023, CIRM
Arithmetic Statistics, 15th to 19th May 2023, CIRM
Diophantine Geometry, 10th to 28th April 2023, MSRI
The advent of rational points, 12th December 2023, KCL
JNT Biennial Conference, 18th to 22nd July 2022, Cetraro
ICM Number Theory and Geometry, 11th to 14th July 2022, ETH
Rational Points on Higher-Dimensional Varieties, 25th to 29th April 2022, ICMS
Rational Points Day, 9th November 2021, University of Bath
Paris-London number theory seminar, 29th to 30th November 2021, Paris 13
Skoro60bis, 3rd to 5th November 2021, IHP
Arithmetic Statistics and Local-Global Principles, 20th to 24th September 2021, ESI
Swinnerton-Dyer Memorial, 17th to 20th May 2021, Newton Institute
Research Programme on Number Theory, Section on Rational Points, 29th March to 30th April 2021, IML
Lean for the working mathematician, 13th to 17th July 2020, online
Göttingen-Hannover number theory workshop, 22nd January 2020, Georg August University of Göttingen
À la redécouverte des points rationnels - special trimester, 20th April to 12th July 2019, IHP
À la redécouverte des points rationnels - preschool, 15th to 19th April 2019, CIRM
Higher Dimensional Arithmetic Geometry, 18th to 21st February 2019, Kumamoto University
Y-Rant, 8th to 9th November 2018, University of Sheffield
Rational Points on Schiermonnikoog, 2nd to 6th July 2018, Schiermonnikoog
K3 surfaces and Galois representations, 2nd to 4th May 2018, Shepperton
Autumn school: Topics in arithmetic and algebraic geometry, 9th to 13th October 2017, Johannes Gutenberg University Mainz
Diophantine Problems, 11th to 15th September 2017, University of Manchester
Arizona Winter School 2017, 11th to 15th March 2017, University of Arizona
Perfectoid Spaces, 16th to 22nd Oct 2016, MFO
Rational Points and Algebraic Geometry, 26th to 30th September 2016, CIRM
Twelfth Algorithmic Number Theory Symposium, 29th August to 2nd September 2016, University of Kaiserslautern
Fundamental Groups in Arithmetic Geometry, 26th May to 3rd June 2016, IHP
Short Biography
since 2022: Lecturer in Pure Mathematics, University of Glasgow
2020-2022: Research fellow, University College London
2019-2020: Postdoctoral researcher, Leibniz University Hannover
2015-2019: PhD, Imperial College London
2011-2015: Undergraduate studies in Heidelberg and Cambridge
I co-founded and organised the London Junior Number Theory Seminar. Here is the old webpage.
A Horizontal Introduction to Algebraic Stacks:
An expository essay I wrote on algebraic stacks a long time ago. None
of the content is original but I have been told that it is a useful
resource to learn the notorious subject.
Every week I sang with other mathematicians, mostly early music. If you live in the London area, maybe you would like join?