academic

CV - Alexandros Konstantinou 

Publications/Preprints:

1. A note on the order of the Tate--Shafarevich group modulo squares, 2024 (arxiv link).

2. Étale algebras over function fields, covers of curves and arithmetic of Jacobians with A. Morgan, 2024  (preprint).

3. Brauer relations, isogenies and parities of ranks, 2023 (arxiv link).

4. Parity of ranks of Jacobians of curves with V. Dokchitser, H. Green and A. Morgan, 2022 (arxiv link).

Past Talks:

1. Isogeny decompositions, the parity conjecture and the Tate--Shafarevich group - Universitat Bayreuth number theory seminar, June 2024

2. Dissecting Jacobians and their motivic pieces- UCL algebraic number theory seminar, Dec 2023.

3. Unveiling the power of isogenies: From Galois theory to the Birch and Swinnerton-Dyer conjecture- Warwick seminar, Nov 2023.

4. The parity conjecture and isogenies between Jacobians - Number theory day conference, Nottingham University,  July 2023.

5. Motivic pieces of curves- Explicit methods in automorphic forms and arithmetic geometry, Trinity College Dublin,  joint talk with V. Dokchitser, June 2023 .

6. Isogenies between Jacobians - Explicit methods in automorphic forms and arithmetic geometry, Trinity College Dublin joint talk with V. Dokchitser, June 2023.

7. Stark Heegner points - UCL Number theory study group on L-functions, May 2023.

8. Endomorphism algebras and the Weil conjecture - London number theory study group on Abelian varieties over finite fields, Jan 2023.

9. Elliptic Surfaces and the Neron Severi Group - London junior number theory seminar, Dec 2022.

10. $\ell$-adic Galois Representations - Part 1, Part 2- UCL number theory study group on $\ell$-adic Galois representations and root numbers, Oct 2022.

11. A quest for deriving local formulae - YRANT 2022 held at the University of Glasgow, Aug 2022.

12. Isogeny relations between Jacobians of Curves and BSD - London junior number theory seminar, Oct 2021.

13. Riemann Roch and moduli problems - UCL/Bristol Study group on Curves, Mar 2021.

Various Projects (pre-PhD):

1. Axiomatic class field theory approach and Kronecker's Jugendtraum - Part C essay, Apr 2020.

2. On a Mayer-Vietoris like sequence for simplicial complexes and Morse Theory - Part C mini-project, Computational Algebraic Topology, Apr 2020.