Research associate at the University of Sheffield

Office: K16, Hicks Building

Address: The Hicks Building, Hounsfield Road, Sheffield, S3 7RH

Sheffield Algebraic Geometry group

**E-Mail**: a.barbieri@sheffield.ac.uk

I am currently a postdoc at the University of Sheffield, UK, with Tom Bridgeland. I completed my PhD studies at the University of Pavia, Italy, under the supervision of Jacopo Stoppa.

Differential and algebraic geometry.

Geometric structures arising from enumerative theories and wall-crossing phenomena. Bridgeland stability conditions, Frobenius like structures and connections with integrable systems, representation of quivers, mathematical physics.

MAS439 Commutative Algebra and Algebraic Geometry (Semester 2, 2018/19 -- School of Mathematics and Statistic, Sheffield)

*A quantized Riemann-Hilbert problem in Donaldson-Thomas theory*, A.Barbieri, T.Bridgeland, J.Stoppa, arXiv 1905.00748*A Riemann-Hilbert problem for uncoupled BPS structures*, arXiv 1802.07655

Accepted to*Manuscripta Mathematica*(2019)*A construction of Frobenius manifolds from stability conditions*, A.Barbieri, J.Stoppa, T.Sutherland , arXiv 1612.06295

Accepted to*Proceedings of the London Mathematical Society*(2018)*Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property*, A.Barbieri, J.Stoppa, arXiv 1512.01176

Accepted to*Communications in Analysis and Geometry*(2017)

Phd Thesis: "Frobenius type structures and manifolds from stability conditions on quiver categories"

- Loughbourough, Workshop in Geometry and Mathematical Physics (30/03/2019),
*A Riemann-Hilbert problem for uncoupled BPS structures* - Lisbon, Seminario do Grupo do Fisica Matematica (07/01/2019),
*Introduction to Wall-Crossing for Bridgeland stability conditions* - Workshop Stability conditions and representation theory of finite-dimensional algebras, Casa Matematica, Oaxaca - Mexico (29/10-2/11/2018),
*A Riemann-Hilbert problem from stability conditions* - EDGE Seminars at Edinburgh (24/05/2018),
*A Riemann-Hilbert problem for uncoupled BPS structures* - Trieste, SISSA (05/04/2018), Birmingham (14/11/2018),
*A Riemann-Hilbert problem for BPS structures* - Leicester, East Midlands Seminar in Geometry (14/12/2017),
*Geometric structures on some spaces of stability conditions* - Bonn, Workshop A-infinity structures and representation theory (4-8/12/2017),
*A construction of Frobenius manifold from stability conditions on Rep(Q)* - Sheffield, Pure Maths Colloquium (29/11/2017),
*Introduction to Frobenius manifolds* - Contributed talk at SISSA, Summer school in enumerative geometry (3-7/07/2017),
*A convergence property for a deformation of Joyce generating functions* - Cardiff, 2CinC, Cow and Calf Conference in Cardiff (23-24/02/2017),
*A Frobenius type structure from stability data* - University of Milano Statale, Seminario di Natale (19-20/12/2016),
*A construction of Frobenius manifold from stability conditions*

In February 2018, with Barbara Bolognese, Joe Karmazyn and Evgeny Shinder, we organized a two-days GLEN meeting at Sheffield.

I will speak at

- MSRI Berkeley, 15-16/08/2019, Connection for women (Holomorphic differentials in Mathematics and Physics)
- Hamburg, 25-28/11/2019, Workshop on BPS-states, topological recursion, exact WKB and abelianisation

and I will participate to

- Cambridge, 15-18/07/2019, Mirror Symmetry and Cluster Algebras Workshop
- Bonn, 29/07-02/08/2019, Integrability, Geometry and Moduli
- MSRI Berkeley, 19-23/08/2019, Introductory Workshop (Holomorphic differentials in Mathematics and Physics)
- Pavia, 2-7/09/2019, XXI Congresso UMI
- Leeds, 9-11/09/2019, Curve counting theories and related algebraic structures