FIOROT LUISA

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Structure Department of Mathematics
Telephone 0498271457
Qualification Ricercatore universitario confermato
Scientific sector MAT/03 - GEOMETRY
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Notice and additional information
Nell'A.A. 2019/2020 insegnerò il corso di Geometria per il corso di laurea triennale in Fisica.

Office hours
Thursday from 16:30 to 18:00 Studio 617 Torre Archimede Oppure su appuntamento inviando una e-mail a luisa.fiorot@unipd.it
(updated on 26/02/2018 13:09)

Curriculum Vitae
LUISA FIOROT, born in Padova 07/25/1975.
Actual Position. Researcher at the the University of Padua
• May 2003- September 2003 Université de Strasbourg, France.
Post-doc scholarship of the UE network Arithmetic Algebraic Geometry.
• November 2002- April 2003 Université de Strasbourg, France.
Pre-doc scholarship of the UE network Arithmetic Algebraic Geometry.
• November 1998- October 2002: Università degli Studi di Padova
PhD Student in Mathematics; first classified at the competition for the admission at the PhD.
• 20 February 2003, PhD Doctor with a thesis titled: Cohomology of Differential Complexes and Algebraic Poincaré Duality; under the supervision of Prof. Francesco Baldassarri.
• 30 October 1998: Università degli Studi di Padova. Graduated in mathematics with laude.
Title of the degree thesis: Algebraic Poincaré Duality; under the supervision of Prof. Francesco Baldassarri.

Comunications: Anacapri, Kaiserslautern, Strasburgo, Rennes, Padova, Milano, Verona, Lisbona, Siviglia, Parigi.

Schools and conferences: 1999: Venezia, International Conference in Arithmetic Algebraic Geometry, 2001: Scuola di Geometria dal titolo: Topologia delle varieta` e delle applicazioni algebriche organizzata dal Dottorato di Ricerca in Matematica dell'Universita` di Trento. 2001: Padova, trimestre di conferenze in onore del Prof. Bernard Dwork. 2002: Eager 2002 Advanced School in Algebraic Geometry: Cycles on Varieties; tenutasi a Levico Terme. 2002: Regensburg, International Conference in Arithmetic Algebraic Geometry. 2002: Kaiserslautern; Scuola estiva dal titolo: Differential Modules. 2003: Venezia, International Conference in Algebraic Analysis. 2003: Rennes, A Cohomological week. 2003: Trieste, Advanced School in Basic Algebraic Geometry. 2003: Bonn, Conferenza finale del network AAG Arithmetic Algebraic Geometry. 2004: Padova; workshop su Geometria Algebrica ed Aritmetica.
2004: Sestri Levante, Scuola estiva e workshop dal titolo: Motives, K-theory and Arithmetical Geometry. 2005: Paris, Semaine derivée tenutosi all'Institut de Mathématiques de Jussieu, Parigi.
2005: Rennes, workshop on Kedelaya. 2005: Paris, Congresso in onore del Prof. Luc Illusie.
2006: RIMS di Kyoto, Workshop internazionale: Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painleve' Hierarchies. 2006: Venezia, Congresso internazionale Hodge Theory. 2010: Marsiglia, scuola su Mirror Symmetry. 2010: Seminaire Bourbaki, Parigi. 2013: Recent trends in Algebraic Analysis, Padova. 2014: Winter School and Workshop "Higher Structures in Algebraic Analysis", Padova. 2015 Silting Theory and related topics, Verona.2017 Meeting on D-modules and singularities tenutosi Siviglia. 2018 ICM Rio de Janeiro. 2019 D-modules and the Riemann-Hilbert correspondence, Berlino. 2019 Algebraic Analysis and Geometry with a view on Higgs bundles and D-modules.

Research activity in: triangulated categories, tilting equivalences, D-modules, motives. Bondal-Orlov conjecture.

Research areas
My research domain is algebraic geometry and representation theory.
In this last period I'm involved in the study of some applications of quasi-abelian categories to
derived equivalencesin algebraic geometry. In particular I work on applications to birational derived equivalences and to the construction of n-motivic t-structures.
I work also in D-modules theory (algebraic and analytic setting) and in particular to the Riemann-Hilbert equivalence in the relative case.

Publications
Publications:
FIOROT L., MONTERITO FERNANDES T. (2018).
t-Structures for relative D-modules and t-exactness of the de Rham functor. J. Algebra 509, p. 419–444.
CAILOTTO M., FIOROT L. (2018).
Algebraic connections vs. algebraic D-modules: regularity conditions. Rev. Mat. Iberoam. 34 , no. 2, p. 905–914.
FIOROT L., MATTIELLO F., SAORIN M. (2017).
Derived equivalences induced by nonclassical tilting objects. Proc. Amer. Math.Soc. vol. 145 no.4; p. 1505-1514.
FIOROT L., MATTIELLO F., TONOLO A. (2016) A classification Theorem for t-structures. J. of Algebra vol. 465 p.214-258.
COLPI R., FIOROT L., MATTIELLO F. (2016). On tilted Giraud Subcategories. JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 220, p. 346-363.
FIOROT L. (2011). Differential complexes and stratified pro-modules. MATHEMATISCHE ZEITSCHRIFT, vol. 267, p. 433-452
CAILOTTO M, FIOROT L. (2009). Algebraic Connections vs. Algebraic D-modules: inverse and direct images. PORTUGALIAE MATHEMATICA, vol. 66 Fasc. 3; p. 303-320.
FIOROT L. (2007). On derived categories of differential complexes. JOURNAL OF ALGEBRA, vol. 312; p. 362-376.
BALDASSARRI F., CAILOTTO M., FIOROT L. (2004). Poincaré duality for algebraic de Rham cohomology. MANUSCRIPTA MATHEMATICA, vol. 114; p. 61-116.


Preprint submitted:
FIOROT L., MONTERITO FERNANDES T., SABBAH C. (2019). Relative regular Riemann-Hilbert correspondence.

FIOROT L. (2016) N-Quasi-Abelian Categories vs N-Tilting Torsion Pairs.

List of taught course units in A.Y. 2019/20
Degree course code (?) Degree course track Course unit code Course unit name Credits Year Period Lang. Teacher in charge
SC1158 COMMON SCN1032568 8 1st Year (2019/20) First
semester
ITA LUISA FIOROT
SC1160 COMMON SCN1032568 8 1st Year (2019/20) First
semester
ITA LUISA FIOROT