Address book
Contacts
LUISA FIOROT
Position
Professoressa Associata
Address
VIA TRIESTE, 63 - TORRE ARCHIMEDE - PADOVA
Telephone
0498271457
LUISA FIOROT, born in Padova 07/25/1975.
Actual Position. Associate professor at the the University of Padua.
• January 2005- October 2022 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, Strasbourg, Rennes, Padua, Milan, Verona, Lisbon, Siviglia, Paris.
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, t-structures, relative D-modules, perverse sheaves.
Notices
Office hours
Wednesday from 11:30 to 13:00
at Torre Archimede studio 6BC8 sesto piano, accesso dalla scala C
Fino al 7 giugno 2023, poi il ricevimento studenti proseguirà su appuntamento. I tesisti hanno un ricevimento studenti dedicato su appuntamento.at Studio 617 Torre Archimede
Su appuntamento inviando una e-mail a luisa.fiorot@unipd.it
Teachings
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2024 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2024 (IN08122537)
- PLANAR ALGEBRIC CURVES, AA 2023 (SCM0014408)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2023 (IN08122537)
- PLANAR ALGEBRIC CURVES, AA 2022 (SCM0014408)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2022 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2022 (IN08122537)
- PLANAR ALGEBRIC CURVES, AA 2021 (SCM0014408)
- PLANAR ALGEBRIC CURVES, AA 2020 (SCM0014408)
- GEOMETRY, AA 2019 (SCN1032568)
- GEOMETRY, AA 2019 (SCN1032568)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2012 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2012 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2012 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2012 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2011 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2011 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2011 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2011 (IN08122537)
Publications
Publications:
FIOROT L., MONTERITO FERNANDES T., SABBAH C.
Relative regular Riemann-Hilbert correspondence II. Preprint arXiv:2203.05444 . Accepted in Compositio Mathematica.
FIOROT L. , GILBALS R.C., TONOLO A.
The Mystery of Anatol Vieru's periodic sequences unveiled. Mathematics and Computation in Music, Volume 13267 of the Lecture Notes in Computer Science series pp. 376--382.
ANDRÉ Y.,FIOROT L.
On the Canonical, fpqc, and finite Topologies on Affine Schemes. The state of the Art. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXIII,(2022) 81-114.
FIOROT L.
N-Quasi-Abelian Categories vs N-Tilting Torsion Pairs. Doc. Math. 26, (2021) 149-197.
FIOROT L., MONTERITO FERNANDES T., SABBAH C.
Relative regular Riemann-Hilbert correspondence. Proc. Lond. Math. Soc. (3) 122 (2021), no. 3, 434–457
FIOROT L., MONTERITO FERNANDES T.
t-Structures for relative D-modules and t-exactness of the de Rham functor. J. Algebra 509, (2018) p. 419–444.
CAILOTTO M., FIOROT L.
Algebraic connections vs. algebraic D-modules: regularity conditions. Rev. Mat. Iberoam. 34 , no. 2, (2018) p. 905–914.
FIOROT L., MATTIELLO F., SAORIN M.
Derived equivalences induced by nonclassical tilting objects. Proc. Amer. Math.Soc. vol. 145 no.4; (2017) p. 1505-1514.
FIOROT L., MATTIELLO F., TONOLO A.
A classification theorem for t-structures. J. of Algebra vol. 465, (2016) p.214-258.
COLPI R., FIOROT L., MATTIELLO F.
On tilted Giraud Subcategories. JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 220, (2016) p. 346-363.
FIOROT L.
Differential complexes and stratified pro-modules. MATHEMATISCHE ZEITSCHRIFT, vol. 267, (2011) p. 433-452.
CAILOTTO M., FIOROT L.
Algebraic Connections vs. Algebraic D-modules: inverse and direct images. PORTUGALIAE MATHEMATICA, vol. 66 Fasc. 3; (2009) p. 303-320.
FIOROT L.
On derived categories of differential complexes. JOURNAL OF ALGEBRA, vol. 312; (2007) p. 362-376.
BALDASSARRI F., CAILOTTO M., FIOROT L.
Poincaré duality for algebraic de Rham cohomology. MANUSCRIPTA MATHEMATICA, vol. 114; (2004) p. 61-116.
Research Area
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 equivalences in 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.
In this period I'm also working in a mathmusic research area, in particular I study the mathematical
proof of the proliferation of values and of Vieru's periodic sequences.
