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
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)
- PLANE ALGEBRAIC CURVES, AA 2023 (SCM0014408)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2023 (IN08122537)
- PLANE ALGEBRAIC CURVES, AA 2022 (SCM0014408)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2022 (IN08122537)
- TOPICS IN LINEAR ALGEBRA AND GEOMETRY, AA 2022 (IN08122537)
- PLANE ALGEBRAIC CURVES, AA 2021 (SCM0014408)
- PLANE ALGEBRAIC 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. Compositio Math. 159, pp. 1413--1465 (2023).
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 (2022).
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.
