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.

Geometry and mathematical physics.

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.

2018-19: MAS439 - Commutative Algebra and Algebraic Geometry

*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

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

In*Proceedings of the London Mathematical Society*118 (6), 1328-1366 (2019)*Frobenius type and CV-structures for Donaldson-Thomas theory and a convergence property*, A.Barbieri, J.Stoppa, arXiv 1512.01176

In*Communications in Analysis and Geometry*, Vol. 27, No. 2 (2019)

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

- MSRI Berkeley, Holomorphic differentials in Mathematics and Physics - Connections for women (15-16/08/2019),
*Kontsevich-Soibelman wall-crossing formula and a (quantum) Riemann-Hilbert problem* - 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

- Hamburg, 25-28/11/2019, Workshop on BPS-states, topological recursion, exact WKB and abelianisation