Anna Barbieri
Research associate at the University of Sheffield
Office: K16, Hicks Building
Address: The Hicks Building, Hounsfield Road, Sheffield, S3 7RH
Sheffield Algebraic Geometry group
EMail: 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.
Research interests
Differential and algebraic geometry.
Geometric structures arising from enumerative theories and wallcrossing phenomena. Bridgeland stability conditions, Frobenius like structures and connections with integrable systems, representation of quivers, mathematical physics.
Teaching
MAS439 Commutative Algebra and Algebraic Geometry (Semester 2, 2018/19  School of Mathematics and Statistic, Sheffield)
Publications and Preprints

A quantized RiemannHilbert problem in DonaldsonThomas theory, A.Barbieri, T.Bridgeland, J.Stoppa, arXiv 1905.00748

A RiemannHilbert 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 CVstructures for DonaldsonThomas 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"
Talks and Conferences

Loughbourough, Workshop in Geometry and Mathematical Physics (30/03/2019), A RiemannHilbert problem for uncoupled BPS structures

Lisbon, Seminario do Grupo do Fisica Matematica (07/01/2019), Introduction to WallCrossing for Bridgeland stability conditions

Workshop Stability conditions and representation theory of finitedimensional algebras, Casa Matematica, Oaxaca  Mexico (29/102/11/2018), A RiemannHilbert problem from stability conditions

EDGE Seminars at Edinburgh (24/05/2018), A RiemannHilbert problem for uncoupled BPS structures

Trieste, SISSA (05/04/2018), Birmingham (14/11/2018), A RiemannHilbert problem for BPS structures

Leicester, East Midlands Seminar in Geometry (14/12/2017), Geometric structures on some spaces of stability conditions

Bonn, Workshop Ainfinity structures and representation theory (48/12/2017), 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 (37/07/2017), A convergence property for a deformation of Joyce generating functions

Cardiff, 2CinC, Cow and Calf Conference in Cardiff (2324/02/2017), A Frobenius type structure from stability data

University of Milano Statale, Seminario di Natale (1920/12/2016), A construction of Frobenius manifold from stability conditions
Activities
In February 2018, with Barbara Bolognese, Joe Karmazyn and Evgeny Shinder, we organized a twodays GLEN meeting at Sheffield.