Born 05.05.1978 in Copparo (Fe)
STUDIES AND CAREER:
- Scientific Maturity, achieved at High School "A.Roiti" of Ferrara in July 1997, rating: 60/60.
- Degree in Mathematics (old system), awarded by the University of Ferrara 13.07.2001, rating: 110/110 cum laude.
- PhD in Mathematics, cycle XVII, awarded by University of Ferrara on 25.02.2005, rating: excellent.
- Research Fellowship, sector MAT/05 - Mathematical Analysis, Department of Mathematics at the University of Ferrara from 01.02.2005 to 31.01.2010.
- Contract Professor at University of Ferrara, Faculty of Sciences and Faculty of Pharmacy, A.A. from 2007/08 to 2011/12.
- Researcher, sector 01/A3 - Mathematical analysis, probability and mathematical statistics (ex MAT/05 - Mathematical Analysis), at the Faculty of Science, University of Ferrara, from 31.12.2011 (permanent position), then at the Department of Mathematics and Computer Science, University of Ferrara, from 10.01.2012 to 30.11.2018
- Current position: Associate Professore , sector 01/A3 - Mathematical analysis, probability and mathematical statistics (ex MAT/05 - Mathematical Analysis), Department of Mathematics and Computer Science, University of Ferrara, since 1.12.2018.
MAIN RESEARCH TOPICS:
Well posedness of the Cauchy problem for evolution equations, more precisely:
- hyperbolic equations with coefficients of low regularity with respect to time;
- hyperbolic equations with characteristics of variabile multiplicity and Levi conditions;
- p-evolution equations with real characteristics (p=2 Schrödinger's equation, p=3 Korteweg-de-Vries equation, ... );
- stochastic pdes: existence and uniqueness of random field solutions, existence and uniqueness of function-valued solutions.
Considering equations with either uniformly bounded in space coefficients or coefficients having a polynomial growth/decay as |x| goes to infinity, I get results of well posedenss (local or global) of the Cauchy problem, by means of either the energy method or the construction of the fundamental solution, and study the propagation of singularities of the solution.
SCIENTIFIC ACTIVITIES
-DEGREE THESIS: “Buona positura del problema di Cauchy per equazioni iperboliche non regolari rispetto alla variabile tempo", advisor Prof. Luisa Zanghirati, University of Ferrara, discusse in Ferrara on July 13, 2001.
- PHD THESIS: "The Cauchy Problem for some Degenerate Hyperbolic Equations", advisor Prof. Massimo Cicognani, University of Bologna, discussed in Ferrara on February 25, 2005.
- SCIENTIFIC PUBLICATIONS ON JOURNALS: see the "Publications list"
- PREPRINTS:
-- A.Abdeljawad, A.Ascanelli, S.Coriasco: "Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on R^n", submitted (2018), arxiv:1810.05009
- TALKS AT CONFERENCES:
- "The Cauchy problem for operators with log-Lipschitz coefficients with respect to time," IperFe2002, Ferrara (October 2002)
- "The Cauchy problem for a class of p-evolution equations", Directions on Partial Differential Equations, Ferrara (November 2003)
- "Energy Estimate and Fundamental Solution for some degenerate hyperbolic Cauchy problems", IPERPISA, Pisa (October 2004)
- "Propagation of singularities of the solution in some degenerate hyperbolic Cauchy problems," Partial Differential Equations and Applications, Ferrara (March-April 2005)
- "A weakly hyperbolic equation with Hoelder continuous coefficients in Gevrey classes ", Around Hyperbolic Systems, in memory of Stephen Welcome, Ferrara, (June 2005)
- "Degenerate hyperbolic equations with polynomial coefficients", IperBA2009, Bari (February 2009);
- "The Cauchy problem for equations of p-evolution", XIX Congress UMI, Bologna (September 2011).
- "$H^infty$ well-posedness of the Cauchy problem for p-evolution equations", Modern Aspects in Phase Space Analysis, Freiberg University of Mining and Technology, Germany (February 2012).
- "Well posedness for Schroedinger type equations ", 14th International Conference on Hyperbolic Problems - HYP2012, Padua, Italy, 25-29 June 2012
-- "The Cauchy problem for higher order p-evolution equations", Proprietà Geometriche Microlocali delle Equazioni alle Derivate Parziali, Cesena, 15-16 March 2013
-- "The Cauchy problem for higher order p-evolution equations", 9th International ISAAC Congress, Krakow (Poland), 5-9 August 2013
-- "Necessary and sufficient conditions for well-posedness of p-evolution equations with time and space depending coefficients.", First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao (Spain), 30 June - 4 July 2014
-- "Random-fieleld solutions for linear hyperbolic stochastic PDEs with variable coefficients", BFA2016, Rzeszow (Poland), 20-23 April 2016
-- "Random-field Solutions to Linear Hyperbolic Stochastic Partial Differential Equations with variable Coefficients", convegno GNAMPA2016, Montecatini Terme, 20-23 June 2016
-- "Stochastic hyperbolic equations on R^n$", "A life in mathematics: generalized functions, microlocal analysis, pdes and dynamical systems (in memory of T.Gramchev)", Torino, 1-3 February 2017
-- "Hyperbolic stochastic PDEs on R^n$", "IperPv2017", Pavia, 6-8 September 2017
-- "Schrödinger-type equations in Gelfand-Shilov classes", MLTFA18 (MicroLocal and Time Frequency Analysis 2018), Torino, 2-6 July 2018
-- "Random-field Solutions of Weakly Hyperbolic Stochastic PDEs with Polynomially Bounded Coefficients", Conference on Mathematics of Wave Phenomena, Karlsruhe (Germany), 23-27 July 2018, Minisymposium "Stochastic non linear waves and Schrödinger equations and applications".
-- "Decay of the data and regularity of the solution in Shrödinger equations", 12th ISAAC congress, Aveiro (Portugal), 29 July- 2 August 2019
-- "The interplay between decay of the data and regularity of the solution in Schrödinger equations", Anomalies in Partial Differential Equations, Rome, 9-13 September 2019.
- PARTICIPATION AT CONFERENCES (without talk):
- Cesena, "Questions of regularity in hyperbolic problems and related topics", 13-14 December 2002
- Turin, "Quantization and numerical harmonic analysis", 11-12 June 2003
- Grado, "Phase Space Analysis and Related Topics", 15-18 September 2004
- London, Imperial College, "Fourier Analysis and Hyperbolic PDEs", 10-12 May 2005
- Pienza, "Phase Space Analysis of PDE's", 8-13 November 2005
- Bertinoro (Forlì),'' Regularity in hyperbolic problems'', 23-25 November 2006
- Siena, "Phase Space Analysis of PDE's 2007", 10-13 October 2007
- Ferrara, "Black Holes in Binary Systems", 11-12 September 2009
- Bologna, "Nonlinear Partial Differential Equations and Applications in Finance", October 16, 2009
- Bertinoro (Forlì),'' Perspectives in Phase Space Analysis of Partial Differential Equations'', 27-30 September 2011
- WORKSHOPS ORGANIZATION:
- Ferrara, "IperFe2002", 10-12 October 2002
- Ferrara, "Partial Differential Equations and Applications", 31 March-3 April 2005
- Ferrara, "Around Hyperbolic Systems, in memory of Stefano Benvenuti" ,15-17 June 2005
- Ferrara, "Fourier Analysis and Partial Differential Equations", 10-11 September 2018
- SEMINARS HELD:
- "The Cauchy problem for quasilinear operators, hyperbolic, with log-Lipschitz coefficients", Bologna, 10.01.2003
- "Quasilinear operators with absolutely continuous coefficients", Ferrara, 20.03.2003
- "The Cauchy problem for equations of p-evolution", Ferrara, 23.06.2009
-- "An introduction to pseudo-differential operators", Barcellona, Spagna, 22.01.2014
-- "Equazioni alle derivate parziali stocastiche iperboliche: soluzioni di tipo "random field", Torino, 21.5.2014
- RESPONSIBILITY OF RESEARCH PROJECTS:
-- Research fund FIR2017
-- National research fund FFABR2017
-- Research fund FAR 2017, 2018, 2019
-- Head of the fund Progetto Gnampa 2015 entitled "Equazioni differenziali a derivate parziali di evoluzione e stocastiche", 12 months.
- Head of the Fund FAR2010 entitled "Partial Differential Equations" from 11/01/2012 to 20/12/2013
- Research fund "Fondo per le necessità di base della ricerca 2012", entitled "Equazioni alle derivate parziali stocastiche", 10 months
- Research fund "Fondo per le necessità di base della ricerca 2013", entitled "Equazioni alle derivate parziali stocastiche", 15 months
- PARTICIPATION IN RESEARCH PROJECTS:
-- Gnampa Project 2017 entitled "Equazioni a derivate parziali, analisi di Gabor e analisi microlocale" (Ferrara, Torino), responsible A.Oliaro
- - Gnampa Project 2016 entitled "Nuove prospettive nell'analisi microlocale e tempo-frequenza" (Torino, Ferrara), responsible C.Boiti
- Gnampa Project 2014 entitled "Equazioni differenziali a derivate parziali di evoluzione e stocastiche" (Torino, Ferrara), responsible S.Coriasco
- Gnampa Project 2013 entitled "Operatori a coefficienti poco regolari e questioni collegate", responsible D.Del Santo
- Research local funds FAR 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, responsible L.Zanghirati
- Gnampa Project 2009 entitled "Analysis and Geometry in the phase space and Equations
Partial Differential "(Bologna, Ferrara, Pisa, Trieste) responsible M.Cicognani
- Gnampa Project 2008 entitled "Analysis and Geometry in the phase space and
Partial Differential Equations "(Bologna, Ferrara, Pisa) responsible M.Cicognani
- PRIN 2008 (Turin, Ferrara, Cagliari, Padua, Bologna) entitled "Microlocal Analysis", responsible G.Zampieri.
- PRIN 2006 entitled "Partial differential equations - analytic and Gevrey microlocal analysis" (Turin, Ferrara, Cagliari, Padua), responsible G.Zampieri.
- PRIN 2002 "Partial Differential Equations - Microlocal analytic and Gevrey Analysis- symplettic and integral Transformations" (Turin, Ferrara, Padua), responsible G.Zampieri.
- FIRB 2001 "Microlocal Analysis linear and non-linear and applications," responsible L.Rodino
- Project "Hyke" (Hyperbolic and Kinetic Equations: Asymptotics, Numerics, Analysis) 2002/04: research network funded by the European Union, I2 team, responsible N.Mauser
- PARTICIPATION IN SCHOOLS:
- INDAM's Two months intensive period entitled "Microlocal analysis and related subjects", Turin, May-June 2003.
- INDAM's three months intensive period, entitled "Phase Space Analysis of Partial Differential Equations", Pisa, March-May 2004.
- School "Lectures on Transport Equations and Multi-D Hyperbolic Conservation Laws", Bologna, 17-20 January 2005
- Participating in the "Internet 14th Seminar on Evolution Equations-Operator semigroups and dispersive equations ", 2012/2013
- CURATORSHIPS:
I supervised the preparation of the book: Annals of the University of Ferrara, sex.VII, Cl.sci.mat. 52 (2006), No. 2
- REFEREE ACTIVITIES:
- Referee of the journals "Journal of Mathematical Analysis and Applications", "Nonlinear Analysis: Real World Applications", "Journal of Differential Equations", "Applicable Analysis"
- AFFILIATIONS:
-- Permanent member of the ISAAC (International Society for Analysis, its Applications and Computation)
-- Member of the italian group GNAMPA (National Group for Mathematical Analysis, Probability and its Applications), sec.1: differential equations and dynamical systems.
TEACHING AT UNIVERSITY
-COURSES:
- A.A. 2019-2020:
-- Teacher of the official course "Analisi matematica II", three year's degree curse in Mathematics, Univ Ferrara, 80 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2018-2019:
-- Teacher of the official course "Analisi matematica II", three year's degree curse in Mathematics, Univ Ferrara, 80 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2017-2018:
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher Teacher of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2016-2017:
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher for 24 hours of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2015-2016:
-- Teacher of the official course "Analisi III", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2014-2015:
-- Teacher of the official course "Istituzioni di Analisi Matematica Superiore", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Calcolo delle Probabilita'", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of 1cfu in the official course "Didattica della Matematica" TFA (Tirocinio Formativo Attivo) of I degree, classe A/059, 7 hours;
- A.A. 2013-2014:
-- Teacher of the official course "Istituzioni di Analisi Matematica Superiore", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara (lessons together with the previous one);
-- Teacher of the official course "Calcolo delle Probabilita' I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of 1cfu in the official course "Didattica della Matematica con Laboratorio" PAS (Percorsi Abilitanti Speciali) of I degree, classe A/059, 7 hours;
- A. A. 2012-2013:
- Teacher of the official course "Institutions of Higher Mathematics", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- Teacher of the official course "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2011-2012:
- Professor of the official course "Institutions of Higher Mathematics", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- Teacher (teaching load of the researcher) of the official "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2010-2011:
- Professor of the official course "Mathematics V," three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in Pharmacy, Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- A.A. 2009-2010:
- Professor of the official course "Mathematical Analysis III", three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- A.A. 2008-2009:
- Professor of the official course "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 40 hours;
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- A.A. 2007-2008:
- Professor of the official course "Calculus of Probability 'I", there years degree course in Mathematics, Univ. Ferrara, 56 hours;
- Professor of the official course "Mathematics", degree course in STP (Science and Technology of herbal products, dietetic and cosmetic), Faculty of Pharmacy, Univ Ferrara, 24 hours;
- Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- A.A. 2006-2007:
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- Exercises for the course "Mathematics", degree course in Economics, Univ Ferrara, 30 hours.
- A.A. 2005-2006:
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics III", degree course in Civil Engineering, Univ Ferrara, 15 hours;
- Contract of Tutor for the course "Mathematical Analysis LB", degree course in Electronic Engineering and Telecommunications Engineering, University of Bologna, Cesena, 45 hours;
- Exercises for the course "Mathematics", degree course in Economics, Univ Ferrara, 30 hours.
- A.A. 2004-2005:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 30 hours.
- A.A. 2003-2004:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 60 hours;
- A.A. 2002-2003:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 60 hours.
- A.A. 2001-2002:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 50 hours.
-ADVISOR OF THESIS:
- Elisa Leone, "Markov chains applied to the study of the probability of precipitation in Sicily", first level degree in Mathematics, Ferrara14/12/2012
-- Filippo Bighi, "General Strichartz Estimates and applications to the study of the nonlinear Schroedinger equation in Sobolev spaces}, second level degree in Mathematics, Ferrara, 4/10/2013
-- Giulia Zadra, "Representation and long time behavior of the solution to a damped wave equation", second level degree in Mathematics, Ferrara, 21/03/2014
-- Giulia Bolzonaro, "Introduzione alle martingale ed alcune applicazioni", first level degree in Mathematics, Ferrara, 26/9/2014
-- Riccardo Tonin, "Stochastic integration: a comparison between different theories. With application to the stochastic wave equation." second level degree in Mathematics, Ferrara, 12/12/2014
-- Giulia Zanirato, "Modelli matematici deterministici e stocastici di tipo SIS e SIR per la diffusione di infezioni", second level degree in Mathematics, Ferrara, 12/12/2014
-- Matteo Modonesi, "Catene di Markov a tempo discreto e genetica delle popolazioni", first level degree in Mathematics, Ferrara, 20/2/2015
-- Mirco Bonati, "Giochi cooperativi a n persone: contrattazioni e soluzioni", first level degree in Mathematics, Ferrara, 17/7/2015
-- Chiara Alessi, "Legge dei Grandi Numeri: dall'esperimento di Bernoulli alla legge debole e forte", first level degree in Mathematics, Ferrara, 18/3/2016
-- Arianna Caselli, "Il teorema di Cauchy-Kowalewsky per equazioni alle derivate parziali lineari e non lineari", first level degree in Mathematics, Ferrara, 18/3/2016
-- Nicola Ferrara, "Trasformata di Fourier in spazi di distribuzioni e caratterizzazione mediante il teorema di Paley-Wiener", first level degree in Mathematics, Ferrara, 15/07/2016
-- Valeria Bergami, "Un modello probabilistico in fisica quantistica: la condensazione di Bose-Einstein", first level degree in Mathematics, Ferrara, 30/09/2016.
-- Giulia Bolzonaro, "Un modello matematico per la struttura finanziaria d'impresa con utili mean-reverting", second level degree in Mathematics, Ferrara, 17/03/2017, co-advisor prof.Rossella Agliardi (Università di Bologna);
-- Francesca Antonioni, "L'importanza della numerosità campionaria negli studi clinici: una sfida ancora aperta." second level degree in Mathematics, Ferrara, 17/03/2017 , co-advisors Laura Pozzatti and Donata Rodi;
-- Soukaina Chaibi, "Analisi della struttura genetica di una popolazione: equilibrio di Hardy-Weinberg e processi
evolutivi." first level degree in Mathematics, Ferrara, 18/07/2017;
-- Alessia Fracca, "La trasformata di Laplace: proprietà e applicazioni ad equazioni differenziali ordinarie e alle derivate parziali", first level degree in Mathematics, Ferrara, 29/09/2017
-- Gloria Morbidelli "Il problema della ricorrenza per passeggiate aleatorie", first level degree in Mathematics, Ferrara, 29/09/2017;
-- Fabio Pio Palumbo, "Teorema di Radon-Nikodym e dualità negli spazi L^p", first level degree in Mathematics, Ferrara, 15/12/2017
-- Valentina Veronesi, "Il modello Lotka-Volterra: analisi di dinamiche preda-predatore attraverso la teoria dei sistemi autonomi", first level degree in Mathematics, Ferrara, 15/12/2017
-- Stefania Ghiraldelli, "Giochi non cooperativi: equilibri di Nash e strategie minimax", first level degree in Mathematics, Ferrara, 16/03/2018.
-- Arianna Caselli, "Il problema di Cauchy per equazioni alle derivate parziali di evoluzione iperbolica", Laurea Magistrale in Matematica, Ferrara, 27 Luglio 2018
-- Valeria Manfredini, "Catene di Markov a tempo continuo e processi di coda a disciplina First In First Out", Laurea Triennale in Matematica, Ferrara, 21 Settembre 2018
-- Nicola Ferrara, "Il teorema di Nash-Moser per l'invertibilità locale ed un'applicazione a PDE
iperboliche semilineari", second level degree in Mathematics, Ferrara, 15/03/2019
-- Francesca Bonato, "Teoremi della funzione implicita", first level degree in Mathematics, Ferrara, 20/09/2019
-- Gloria Morbidelli, "Il problema di Cauchy per l'equazione della piastra vibrante: buona positura in spazi di Sobolev e classi di Gevrey", second level degree in Mathematics, Ferrara 20/12/2019
-- Ilaria Cavazzini, "Teoremi di punto fisso e applicazioni", first level degree in Mathematics, Ferrara 20/12/2019
- ADVISOR OF TEACHING QUALIFICATION THESIS, CLASS A/049:
-- Benedetta Comandini, Elena Conti, Ernesto Tomaselli, Giovanna Pasti, Amanda Montanari, Paola Tiso, July 2014 (PAS)
-- Marta Miazzi, Laura Sirna, July 2015 (TFA)
- BOOKS:
- Andrea Corli, Alessia Ascanelli, "Esercizi di analisi mathematic 1" for the degree course in Civil Engineering and Civil Engineering for the environment and the territory;
- Andrea Corli, Alessia Ascanelli, "Esercizi di analisi mathematica 2" for the degree course in Civil Engineering and Civil Engineering for the environment and the territory;
- Andrea Corli, Alessia Ascanelli, "Esercizi del corso di Complementi di Analisi Matematica", for the Master of Science in Civil Engineering, Civil Engineering for the environment and the land, Materials Engineering, Mechanical Engineering.
The text can be found at: https://sites.google.com/a/unife.it/alessia-ascanelli/testi
E-LEARNING FORM:
- Alessia Ascanelli: "Qualche consideration sul linguaggio universal della matematica", prepared for the scientific and educational Polo of Cesena (University of Bologna) within the project "The laws and patterns of mathematics and physics beyond the scientific culture basic "(January 2007).
(These short notes are addressed to high school students who wish to enroll in undergraduate courses in Engineering at the scientific and educational Polo in Cesena. Introduces some parts of the course syllabus Analysis A through problems and applications. The aim is to reflect the student that, in mathematics, by examining primitive concepts we meet immediately sensitive points along with applications.)
The module is available at: https://sites.google.com/a/unife.it/alessia-ascanelli/testi
- NOMINATIONS AT THE UNIVERSITY:
-- Manager of the Orientation activities of the Mathematics and computer Science Department in the academic periods 2018/21 and 2015/18
-- Operating Teacher of the degree course in Mathematics (LT+LM) for the periods 2018/21 and 2015/18
-- deputy of the sector "Mathematical Analysis" in the Library Committee of the Department of Mathematics and Computer Science (since 2013)
-- Member of the Committee for completing the SUA form of the degree course in Mathematics (LT+LM) for the period 2012/15
-- Secretary of the council of the degree courses in Mathematics, University of Ferrara, from 2013 to 2014
-- Local commissioner of competition for the award of INdAM scholarships, A.A.2015/16, 2016/17, 2017/18, 2018/19
- ORIENTATION ACTIVITIES ADDRESSED TO STUDENTS OF HIGH SCHOOLS:
-- every year the degree Courses in Mathematics organize in the month of June at the Department of Mathematics and Computer Science a stage of 20 hours for students of the fourth year of high school. I had seminars of 90 minutes, entitled "Probability: born to win" in the editions 2013, 2012, 2011 of the stage
-- every year the Department of Mathematics and Computer Science organizes, in the field of Piano Lauree Scientifiche, seminars for high school students who access the provincial phase of the Mathematical Olympiad. I held seminars lasting 2 hours each (topic: combinatorics and calculation of probability) every year since 2011/12; the seminars were held at the Department of Mathematics and Computer Science of the University of Ferrara, at the Liceo Scientifico Roiti in Ferrara, at the Liceo Paleocapa in Rovigo.
-- since 2012, I hold every year seminars of presentation of the degree courses in Mathematics, University of Ferrara, in various high schools of Ferrara, Rovigo, Ravenna, Padova; since 2014 I also hold presentations of degree courses in Mathematics during the Orientation Forum of the University of Ferrara, which is held annually in Ferrara in February.
- REVISOR ACTIVITIES:
- In 2009 I worked as revisor of a college textbook at the request of the publisher McGraw-Hill.
TEACHING ACTIVIY IN HIGH SCHOOL:
- In service as a teacher of Physics (A/038) at IPSIA Ercole I d'Este of Lido Este (Ferrara), from 17/09/2001 to 31/12/2001;
- In service as a teacher of Computer Science (A/042) at Liceo Classico "L.Ariosto" of Ferrara, from 01/10/2010 to 30/06/2011;
- In service as a teacher of Mathematics (A/049) at Liceo Classico "L.Ariosto" of Ferrara, from 22/10/2010 to 31/10/2011;
- In service as a teacher of Mathematics (A/049) at Liceo Classico "L.Ariosto" of Ferrara, from 25/01/2011 to 12/06/2011 and from 14/06/2011 to 17/06/2011;
- Contract for the provision of intellectual work occasionally for two remedial courses summer of Mathematics at Liceo Classico "L.Ariosto" of Ferrara, from 05/07/2011 to 13/07/2011.
STUDIES AND CAREER:
- Scientific Maturity, achieved at High School "A.Roiti" of Ferrara in July 1997, rating: 60/60.
- Degree in Mathematics (old system), awarded by the University of Ferrara 13.07.2001, rating: 110/110 cum laude.
- PhD in Mathematics, cycle XVII, awarded by University of Ferrara on 25.02.2005, rating: excellent.
- Research Fellowship, sector MAT/05 - Mathematical Analysis, Department of Mathematics at the University of Ferrara from 01.02.2005 to 31.01.2010.
- Contract Professor at University of Ferrara, Faculty of Sciences and Faculty of Pharmacy, A.A. from 2007/08 to 2011/12.
- Researcher, sector 01/A3 - Mathematical analysis, probability and mathematical statistics (ex MAT/05 - Mathematical Analysis), at the Faculty of Science, University of Ferrara, from 31.12.2011 (permanent position), then at the Department of Mathematics and Computer Science, University of Ferrara, from 10.01.2012 to 30.11.2018
- Current position: Associate Professore , sector 01/A3 - Mathematical analysis, probability and mathematical statistics (ex MAT/05 - Mathematical Analysis), Department of Mathematics and Computer Science, University of Ferrara, since 1.12.2018.
MAIN RESEARCH TOPICS:
Well posedness of the Cauchy problem for evolution equations, more precisely:
- hyperbolic equations with coefficients of low regularity with respect to time;
- hyperbolic equations with characteristics of variabile multiplicity and Levi conditions;
- p-evolution equations with real characteristics (p=2 Schrödinger's equation, p=3 Korteweg-de-Vries equation, ... );
- stochastic pdes: existence and uniqueness of random field solutions, existence and uniqueness of function-valued solutions.
Considering equations with either uniformly bounded in space coefficients or coefficients having a polynomial growth/decay as |x| goes to infinity, I get results of well posedenss (local or global) of the Cauchy problem, by means of either the energy method or the construction of the fundamental solution, and study the propagation of singularities of the solution.
SCIENTIFIC ACTIVITIES
-DEGREE THESIS: “Buona positura del problema di Cauchy per equazioni iperboliche non regolari rispetto alla variabile tempo", advisor Prof. Luisa Zanghirati, University of Ferrara, discusse in Ferrara on July 13, 2001.
- PHD THESIS: "The Cauchy Problem for some Degenerate Hyperbolic Equations", advisor Prof. Massimo Cicognani, University of Bologna, discussed in Ferrara on February 25, 2005.
- SCIENTIFIC PUBLICATIONS ON JOURNALS: see the "Publications list"
- PREPRINTS:
-- A.Abdeljawad, A.Ascanelli, S.Coriasco: "Deterministic and stochastic Cauchy problems for a class of weakly hyperbolic operators on R^n", submitted (2018), arxiv:1810.05009
- TALKS AT CONFERENCES:
- "The Cauchy problem for operators with log-Lipschitz coefficients with respect to time," IperFe2002, Ferrara (October 2002)
- "The Cauchy problem for a class of p-evolution equations", Directions on Partial Differential Equations, Ferrara (November 2003)
- "Energy Estimate and Fundamental Solution for some degenerate hyperbolic Cauchy problems", IPERPISA, Pisa (October 2004)
- "Propagation of singularities of the solution in some degenerate hyperbolic Cauchy problems," Partial Differential Equations and Applications, Ferrara (March-April 2005)
- "A weakly hyperbolic equation with Hoelder continuous coefficients in Gevrey classes ", Around Hyperbolic Systems, in memory of Stephen Welcome, Ferrara, (June 2005)
- "Degenerate hyperbolic equations with polynomial coefficients", IperBA2009, Bari (February 2009);
- "The Cauchy problem for equations of p-evolution", XIX Congress UMI, Bologna (September 2011).
- "$H^infty$ well-posedness of the Cauchy problem for p-evolution equations", Modern Aspects in Phase Space Analysis, Freiberg University of Mining and Technology, Germany (February 2012).
- "Well posedness for Schroedinger type equations ", 14th International Conference on Hyperbolic Problems - HYP2012, Padua, Italy, 25-29 June 2012
-- "The Cauchy problem for higher order p-evolution equations", Proprietà Geometriche Microlocali delle Equazioni alle Derivate Parziali, Cesena, 15-16 March 2013
-- "The Cauchy problem for higher order p-evolution equations", 9th International ISAAC Congress, Krakow (Poland), 5-9 August 2013
-- "Necessary and sufficient conditions for well-posedness of p-evolution equations with time and space depending coefficients.", First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao (Spain), 30 June - 4 July 2014
-- "Random-fieleld solutions for linear hyperbolic stochastic PDEs with variable coefficients", BFA2016, Rzeszow (Poland), 20-23 April 2016
-- "Random-field Solutions to Linear Hyperbolic Stochastic Partial Differential Equations with variable Coefficients", convegno GNAMPA2016, Montecatini Terme, 20-23 June 2016
-- "Stochastic hyperbolic equations on R^n$", "A life in mathematics: generalized functions, microlocal analysis, pdes and dynamical systems (in memory of T.Gramchev)", Torino, 1-3 February 2017
-- "Hyperbolic stochastic PDEs on R^n$", "IperPv2017", Pavia, 6-8 September 2017
-- "Schrödinger-type equations in Gelfand-Shilov classes", MLTFA18 (MicroLocal and Time Frequency Analysis 2018), Torino, 2-6 July 2018
-- "Random-field Solutions of Weakly Hyperbolic Stochastic PDEs with Polynomially Bounded Coefficients", Conference on Mathematics of Wave Phenomena, Karlsruhe (Germany), 23-27 July 2018, Minisymposium "Stochastic non linear waves and Schrödinger equations and applications".
-- "Decay of the data and regularity of the solution in Shrödinger equations", 12th ISAAC congress, Aveiro (Portugal), 29 July- 2 August 2019
-- "The interplay between decay of the data and regularity of the solution in Schrödinger equations", Anomalies in Partial Differential Equations, Rome, 9-13 September 2019.
- PARTICIPATION AT CONFERENCES (without talk):
- Cesena, "Questions of regularity in hyperbolic problems and related topics", 13-14 December 2002
- Turin, "Quantization and numerical harmonic analysis", 11-12 June 2003
- Grado, "Phase Space Analysis and Related Topics", 15-18 September 2004
- London, Imperial College, "Fourier Analysis and Hyperbolic PDEs", 10-12 May 2005
- Pienza, "Phase Space Analysis of PDE's", 8-13 November 2005
- Bertinoro (Forlì),'' Regularity in hyperbolic problems'', 23-25 November 2006
- Siena, "Phase Space Analysis of PDE's 2007", 10-13 October 2007
- Ferrara, "Black Holes in Binary Systems", 11-12 September 2009
- Bologna, "Nonlinear Partial Differential Equations and Applications in Finance", October 16, 2009
- Bertinoro (Forlì),'' Perspectives in Phase Space Analysis of Partial Differential Equations'', 27-30 September 2011
- WORKSHOPS ORGANIZATION:
- Ferrara, "IperFe2002", 10-12 October 2002
- Ferrara, "Partial Differential Equations and Applications", 31 March-3 April 2005
- Ferrara, "Around Hyperbolic Systems, in memory of Stefano Benvenuti" ,15-17 June 2005
- Ferrara, "Fourier Analysis and Partial Differential Equations", 10-11 September 2018
- SEMINARS HELD:
- "The Cauchy problem for quasilinear operators, hyperbolic, with log-Lipschitz coefficients", Bologna, 10.01.2003
- "Quasilinear operators with absolutely continuous coefficients", Ferrara, 20.03.2003
- "The Cauchy problem for equations of p-evolution", Ferrara, 23.06.2009
-- "An introduction to pseudo-differential operators", Barcellona, Spagna, 22.01.2014
-- "Equazioni alle derivate parziali stocastiche iperboliche: soluzioni di tipo "random field", Torino, 21.5.2014
- RESPONSIBILITY OF RESEARCH PROJECTS:
-- Research fund FIR2017
-- National research fund FFABR2017
-- Research fund FAR 2017, 2018, 2019
-- Head of the fund Progetto Gnampa 2015 entitled "Equazioni differenziali a derivate parziali di evoluzione e stocastiche", 12 months.
- Head of the Fund FAR2010 entitled "Partial Differential Equations" from 11/01/2012 to 20/12/2013
- Research fund "Fondo per le necessità di base della ricerca 2012", entitled "Equazioni alle derivate parziali stocastiche", 10 months
- Research fund "Fondo per le necessità di base della ricerca 2013", entitled "Equazioni alle derivate parziali stocastiche", 15 months
- PARTICIPATION IN RESEARCH PROJECTS:
-- Gnampa Project 2017 entitled "Equazioni a derivate parziali, analisi di Gabor e analisi microlocale" (Ferrara, Torino), responsible A.Oliaro
- - Gnampa Project 2016 entitled "Nuove prospettive nell'analisi microlocale e tempo-frequenza" (Torino, Ferrara), responsible C.Boiti
- Gnampa Project 2014 entitled "Equazioni differenziali a derivate parziali di evoluzione e stocastiche" (Torino, Ferrara), responsible S.Coriasco
- Gnampa Project 2013 entitled "Operatori a coefficienti poco regolari e questioni collegate", responsible D.Del Santo
- Research local funds FAR 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, responsible L.Zanghirati
- Gnampa Project 2009 entitled "Analysis and Geometry in the phase space and Equations
Partial Differential "(Bologna, Ferrara, Pisa, Trieste) responsible M.Cicognani
- Gnampa Project 2008 entitled "Analysis and Geometry in the phase space and
Partial Differential Equations "(Bologna, Ferrara, Pisa) responsible M.Cicognani
- PRIN 2008 (Turin, Ferrara, Cagliari, Padua, Bologna) entitled "Microlocal Analysis", responsible G.Zampieri.
- PRIN 2006 entitled "Partial differential equations - analytic and Gevrey microlocal analysis" (Turin, Ferrara, Cagliari, Padua), responsible G.Zampieri.
- PRIN 2002 "Partial Differential Equations - Microlocal analytic and Gevrey Analysis- symplettic and integral Transformations" (Turin, Ferrara, Padua), responsible G.Zampieri.
- FIRB 2001 "Microlocal Analysis linear and non-linear and applications," responsible L.Rodino
- Project "Hyke" (Hyperbolic and Kinetic Equations: Asymptotics, Numerics, Analysis) 2002/04: research network funded by the European Union, I2 team, responsible N.Mauser
- PARTICIPATION IN SCHOOLS:
- INDAM's Two months intensive period entitled "Microlocal analysis and related subjects", Turin, May-June 2003.
- INDAM's three months intensive period, entitled "Phase Space Analysis of Partial Differential Equations", Pisa, March-May 2004.
- School "Lectures on Transport Equations and Multi-D Hyperbolic Conservation Laws", Bologna, 17-20 January 2005
- Participating in the "Internet 14th Seminar on Evolution Equations-Operator semigroups and dispersive equations ", 2012/2013
- CURATORSHIPS:
I supervised the preparation of the book: Annals of the University of Ferrara, sex.VII, Cl.sci.mat. 52 (2006), No. 2
- REFEREE ACTIVITIES:
- Referee of the journals "Journal of Mathematical Analysis and Applications", "Nonlinear Analysis: Real World Applications", "Journal of Differential Equations", "Applicable Analysis"
- AFFILIATIONS:
-- Permanent member of the ISAAC (International Society for Analysis, its Applications and Computation)
-- Member of the italian group GNAMPA (National Group for Mathematical Analysis, Probability and its Applications), sec.1: differential equations and dynamical systems.
TEACHING AT UNIVERSITY
-COURSES:
- A.A. 2019-2020:
-- Teacher of the official course "Analisi matematica II", three year's degree curse in Mathematics, Univ Ferrara, 80 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2018-2019:
-- Teacher of the official course "Analisi matematica II", three year's degree curse in Mathematics, Univ Ferrara, 80 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2017-2018:
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher Teacher of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2016-2017:
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher for 24 hours of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2015-2016:
-- Teacher of the official course "Analisi III", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Calcolo delle Probabilita' e statistica", three year's degree curse in Mathematics, Univ Ferrara, 72 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2014-2015:
-- Teacher of the official course "Istituzioni di Analisi Matematica Superiore", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Calcolo delle Probabilita'", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of 1cfu in the official course "Didattica della Matematica" TFA (Tirocinio Formativo Attivo) of I degree, classe A/059, 7 hours;
- A.A. 2013-2014:
-- Teacher of the official course "Istituzioni di Analisi Matematica Superiore", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Equazioni differenziali ordinarie", three year's degree curse in Mathematics, Univ Ferrara (lessons together with the previous one);
-- Teacher of the official course "Calcolo delle Probabilita' I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of the official course "Inglese", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
-- Teacher of 1cfu in the official course "Didattica della Matematica con Laboratorio" PAS (Percorsi Abilitanti Speciali) of I degree, classe A/059, 7 hours;
- A. A. 2012-2013:
- Teacher of the official course "Institutions of Higher Mathematics", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- Teacher of the official course "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2011-2012:
- Professor of the official course "Institutions of Higher Mathematics", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- Teacher (teaching load of the researcher) of the official "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 48 hours;
- A.A. 2010-2011:
- Professor of the official course "Mathematics V," three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in Pharmacy, Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- A.A. 2009-2010:
- Professor of the official course "Mathematical Analysis III", three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics and Computer Science" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 48 hours;
- A.A. 2008-2009:
- Professor of the official course "Calculus of Probability 'I", three year's degree curse in Mathematics, Univ Ferrara, 56 hours;
- Professor of the official course "Mathematics" course Degree in CTF (Chemistry and Pharmaceutical Tecnology), Faculty 'of Pharmacy, Univ Ferrara, 40 hours;
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- A.A. 2007-2008:
- Professor of the official course "Calculus of Probability 'I", there years degree course in Mathematics, Univ. Ferrara, 56 hours;
- Professor of the official course "Mathematics", degree course in STP (Science and Technology of herbal products, dietetic and cosmetic), Faculty of Pharmacy, Univ Ferrara, 24 hours;
- Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- A.A. 2006-2007:
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours.
- Exercises for the course "Mathematics", degree course in Economics, Univ Ferrara, 30 hours.
- A.A. 2005-2006:
- Contract Professor of integrative course "Applications of Mathematics I," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics II," degree course in Civil and Environmental Engineering, Univ Ferrara, 15 hours;
- Contract Professor of integrative course "Applications of Mathematics III", degree course in Civil Engineering, Univ Ferrara, 15 hours;
- Contract of Tutor for the course "Mathematical Analysis LB", degree course in Electronic Engineering and Telecommunications Engineering, University of Bologna, Cesena, 45 hours;
- Exercises for the course "Mathematics", degree course in Economics, Univ Ferrara, 30 hours.
- A.A. 2004-2005:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 30 hours.
- A.A. 2003-2004:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 60 hours;
- A.A. 2002-2003:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 60 hours.
- A.A. 2001-2002:
- Contract for the Provision of Professional Opera (ex art.26 Presidential Decree 382/80) at the Department of Engineering, Univ Ferrara, 50 hours.
-ADVISOR OF THESIS:
- Elisa Leone, "Markov chains applied to the study of the probability of precipitation in Sicily", first level degree in Mathematics, Ferrara14/12/2012
-- Filippo Bighi, "General Strichartz Estimates and applications to the study of the nonlinear Schroedinger equation in Sobolev spaces}, second level degree in Mathematics, Ferrara, 4/10/2013
-- Giulia Zadra, "Representation and long time behavior of the solution to a damped wave equation", second level degree in Mathematics, Ferrara, 21/03/2014
-- Giulia Bolzonaro, "Introduzione alle martingale ed alcune applicazioni", first level degree in Mathematics, Ferrara, 26/9/2014
-- Riccardo Tonin, "Stochastic integration: a comparison between different theories. With application to the stochastic wave equation." second level degree in Mathematics, Ferrara, 12/12/2014
-- Giulia Zanirato, "Modelli matematici deterministici e stocastici di tipo SIS e SIR per la diffusione di infezioni", second level degree in Mathematics, Ferrara, 12/12/2014
-- Matteo Modonesi, "Catene di Markov a tempo discreto e genetica delle popolazioni", first level degree in Mathematics, Ferrara, 20/2/2015
-- Mirco Bonati, "Giochi cooperativi a n persone: contrattazioni e soluzioni", first level degree in Mathematics, Ferrara, 17/7/2015
-- Chiara Alessi, "Legge dei Grandi Numeri: dall'esperimento di Bernoulli alla legge debole e forte", first level degree in Mathematics, Ferrara, 18/3/2016
-- Arianna Caselli, "Il teorema di Cauchy-Kowalewsky per equazioni alle derivate parziali lineari e non lineari", first level degree in Mathematics, Ferrara, 18/3/2016
-- Nicola Ferrara, "Trasformata di Fourier in spazi di distribuzioni e caratterizzazione mediante il teorema di Paley-Wiener", first level degree in Mathematics, Ferrara, 15/07/2016
-- Valeria Bergami, "Un modello probabilistico in fisica quantistica: la condensazione di Bose-Einstein", first level degree in Mathematics, Ferrara, 30/09/2016.
-- Giulia Bolzonaro, "Un modello matematico per la struttura finanziaria d'impresa con utili mean-reverting", second level degree in Mathematics, Ferrara, 17/03/2017, co-advisor prof.Rossella Agliardi (Università di Bologna);
-- Francesca Antonioni, "L'importanza della numerosità campionaria negli studi clinici: una sfida ancora aperta." second level degree in Mathematics, Ferrara, 17/03/2017 , co-advisors Laura Pozzatti and Donata Rodi;
-- Soukaina Chaibi, "Analisi della struttura genetica di una popolazione: equilibrio di Hardy-Weinberg e processi
evolutivi." first level degree in Mathematics, Ferrara, 18/07/2017;
-- Alessia Fracca, "La trasformata di Laplace: proprietà e applicazioni ad equazioni differenziali ordinarie e alle derivate parziali", first level degree in Mathematics, Ferrara, 29/09/2017
-- Gloria Morbidelli "Il problema della ricorrenza per passeggiate aleatorie", first level degree in Mathematics, Ferrara, 29/09/2017;
-- Fabio Pio Palumbo, "Teorema di Radon-Nikodym e dualità negli spazi L^p", first level degree in Mathematics, Ferrara, 15/12/2017
-- Valentina Veronesi, "Il modello Lotka-Volterra: analisi di dinamiche preda-predatore attraverso la teoria dei sistemi autonomi", first level degree in Mathematics, Ferrara, 15/12/2017
-- Stefania Ghiraldelli, "Giochi non cooperativi: equilibri di Nash e strategie minimax", first level degree in Mathematics, Ferrara, 16/03/2018.
-- Arianna Caselli, "Il problema di Cauchy per equazioni alle derivate parziali di evoluzione iperbolica", Laurea Magistrale in Matematica, Ferrara, 27 Luglio 2018
-- Valeria Manfredini, "Catene di Markov a tempo continuo e processi di coda a disciplina First In First Out", Laurea Triennale in Matematica, Ferrara, 21 Settembre 2018
-- Nicola Ferrara, "Il teorema di Nash-Moser per l'invertibilità locale ed un'applicazione a PDE
iperboliche semilineari", second level degree in Mathematics, Ferrara, 15/03/2019
-- Francesca Bonato, "Teoremi della funzione implicita", first level degree in Mathematics, Ferrara, 20/09/2019
-- Gloria Morbidelli, "Il problema di Cauchy per l'equazione della piastra vibrante: buona positura in spazi di Sobolev e classi di Gevrey", second level degree in Mathematics, Ferrara 20/12/2019
-- Ilaria Cavazzini, "Teoremi di punto fisso e applicazioni", first level degree in Mathematics, Ferrara 20/12/2019
- ADVISOR OF TEACHING QUALIFICATION THESIS, CLASS A/049:
-- Benedetta Comandini, Elena Conti, Ernesto Tomaselli, Giovanna Pasti, Amanda Montanari, Paola Tiso, July 2014 (PAS)
-- Marta Miazzi, Laura Sirna, July 2015 (TFA)
- BOOKS:
- Andrea Corli, Alessia Ascanelli, "Esercizi di analisi mathematic 1" for the degree course in Civil Engineering and Civil Engineering for the environment and the territory;
- Andrea Corli, Alessia Ascanelli, "Esercizi di analisi mathematica 2" for the degree course in Civil Engineering and Civil Engineering for the environment and the territory;
- Andrea Corli, Alessia Ascanelli, "Esercizi del corso di Complementi di Analisi Matematica", for the Master of Science in Civil Engineering, Civil Engineering for the environment and the land, Materials Engineering, Mechanical Engineering.
The text can be found at: https://sites.google.com/a/unife.it/alessia-ascanelli/testi
E-LEARNING FORM:
- Alessia Ascanelli: "Qualche consideration sul linguaggio universal della matematica", prepared for the scientific and educational Polo of Cesena (University of Bologna) within the project "The laws and patterns of mathematics and physics beyond the scientific culture basic "(January 2007).
(These short notes are addressed to high school students who wish to enroll in undergraduate courses in Engineering at the scientific and educational Polo in Cesena. Introduces some parts of the course syllabus Analysis A through problems and applications. The aim is to reflect the student that, in mathematics, by examining primitive concepts we meet immediately sensitive points along with applications.)
The module is available at: https://sites.google.com/a/unife.it/alessia-ascanelli/testi
- NOMINATIONS AT THE UNIVERSITY:
-- Manager of the Orientation activities of the Mathematics and computer Science Department in the academic periods 2018/21 and 2015/18
-- Operating Teacher of the degree course in Mathematics (LT+LM) for the periods 2018/21 and 2015/18
-- deputy of the sector "Mathematical Analysis" in the Library Committee of the Department of Mathematics and Computer Science (since 2013)
-- Member of the Committee for completing the SUA form of the degree course in Mathematics (LT+LM) for the period 2012/15
-- Secretary of the council of the degree courses in Mathematics, University of Ferrara, from 2013 to 2014
-- Local commissioner of competition for the award of INdAM scholarships, A.A.2015/16, 2016/17, 2017/18, 2018/19
- ORIENTATION ACTIVITIES ADDRESSED TO STUDENTS OF HIGH SCHOOLS:
-- every year the degree Courses in Mathematics organize in the month of June at the Department of Mathematics and Computer Science a stage of 20 hours for students of the fourth year of high school. I had seminars of 90 minutes, entitled "Probability: born to win" in the editions 2013, 2012, 2011 of the stage
-- every year the Department of Mathematics and Computer Science organizes, in the field of Piano Lauree Scientifiche, seminars for high school students who access the provincial phase of the Mathematical Olympiad. I held seminars lasting 2 hours each (topic: combinatorics and calculation of probability) every year since 2011/12; the seminars were held at the Department of Mathematics and Computer Science of the University of Ferrara, at the Liceo Scientifico Roiti in Ferrara, at the Liceo Paleocapa in Rovigo.
-- since 2012, I hold every year seminars of presentation of the degree courses in Mathematics, University of Ferrara, in various high schools of Ferrara, Rovigo, Ravenna, Padova; since 2014 I also hold presentations of degree courses in Mathematics during the Orientation Forum of the University of Ferrara, which is held annually in Ferrara in February.
- REVISOR ACTIVITIES:
- In 2009 I worked as revisor of a college textbook at the request of the publisher McGraw-Hill.
TEACHING ACTIVIY IN HIGH SCHOOL:
- In service as a teacher of Physics (A/038) at IPSIA Ercole I d'Este of Lido Este (Ferrara), from 17/09/2001 to 31/12/2001;
- In service as a teacher of Computer Science (A/042) at Liceo Classico "L.Ariosto" of Ferrara, from 01/10/2010 to 30/06/2011;
- In service as a teacher of Mathematics (A/049) at Liceo Classico "L.Ariosto" of Ferrara, from 22/10/2010 to 31/10/2011;
- In service as a teacher of Mathematics (A/049) at Liceo Classico "L.Ariosto" of Ferrara, from 25/01/2011 to 12/06/2011 and from 14/06/2011 to 17/06/2011;
- Contract for the provision of intellectual work occasionally for two remedial courses summer of Mathematics at Liceo Classico "L.Ariosto" of Ferrara, from 05/07/2011 to 13/07/2011.
