Curriculum

Research interests

• Volterra composition and its application to ODEs’ approximation.

• Functions of matrices and decay phenomenon;

• Krylov subspace methods and rational Krylov subspace methods;

• Gauss quadrature, orthogonal polynomials, and the moment problem;

• Extrapolation methods for accelerating the convergence of sequences.

Employment history

• May 2019 - present - Assistant professor, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic.

• Apr 2017 - Apr 2019 -  Postdoctoral researcher (based on the Charles University two-year fellowship), Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic. Postdoc mentor: Prof. Zdeněk Strakoš;

• Nov 2016 - Apr 2017  Research staff (temporary) at ISTI, Istituto di Scienza e Tecnologie dell'Informazione "A. Faedo'' (CNR), Pisa, Italy; Supervisor: Cristina Padovani.

• Oct 2015 - Sept 2016 Postdoctoral position at Department of Mathematics (based on the University of Bologna one-year fellowship), University of Bologna, Italy. Tutor: Prof. Valeria Simoncini.

Education

• Jan 2012 - Oct 2015  Ph.D in Mathematical Sciences - Computational Mathematics,  at University of Padova, Italy. Supervisor: Prof. Michela Redivo-Zaglia;

• Oct 2011 Master's degree summa cum laude in Mathematical Sciences at the University of Padova, Italy. Supervisor: Prof. Michela Redivo-Zaglia.

Grants and fellowships

In addition to 2017-2019 Charles University fellowship and 2015-2016 University of Bologna fellowship mentioned above.

• Jan 2021 to Dec 2025 - Partner of the ANR research project MAGICA (MAGnetic resonance techniques and Innovative Combinatorial Algebra), France.

• Jan 2021 to Dec 2025 - Principal Investigator of the PRIMUS research project A Lanczos-like Method for the Time-Ordered Exponential,  Charles University.

• Jan 2018 - Dec 2023 - Junior member of the team, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE), principal investigator: Prof. Josef Málek;

• Jan 2017 - Dec 2017 - Young researcher grant, Gruppo Nazionale per il Calcolo Scientifico (GNCS);

Short term research visits

• Jun 24-30, 2019 - Visit to Université du Littoral Côte d’Opale, Calais, France, invited by: Pierre-Louis Giscard;

• Feb 5-16, 2019 - Visit to University of Strathclyde, Glasgow, UK, invited by: Francesca Arrigo and Francesco Tudisco;

• Jun 14-19, 2018 - Visit to University of Strathclyde, Glasgow, UK, invited by: Francesco Tudisco;

• Jun 20-24, 2016 - Visit to Mining Faculty, Banja Luka University, Prijedor, Bosnia and Herzegovina invited by: Prof. Miroslav Pranić;

• Nov 9-22, 2014 -  Visit to the Department of Numerical Mathematics, Charles University, Prague, Czech Republic invited by: Prof. Zdeněk Strakoš;

• Oct 12-18, 2014 - Visit to the  Banja Luka University, Banja Luka, Bosnia and Herzegovina invited by: Prof. Miroslav Pranić;

• Jan 20 - Feb 1, 2014 - Visit to the Department of Numerical Mathematics, Charles University, Prague, Czech Republic invited by: Prof. Zdeněk Strakoš;

Organization of scientific meetings

• Since 2023,  Co-organizer (with Iveta Hnětynková and Václav Kučera) of the Seminar in numerical mathematics, Charles University, Prague, Czech Republic;

• July 20-21, 2023, Organizer of the Prague Workshop on Numerical Mathematics, Prague, Czech Republic;

• Sept 22-23, 2022, Organizing committee member - GAMM workshop on Applied and Numerical Linear Algebra, Prague, Czech Republic;

• Jun 20-26, 2021, Co-organizer (with Davide Palitta) of the minisymposium Matrix Computations and Numerical (Multi)Linear Algebra with Applications, 8th European Congress of Mathematics,  Portorož, Slovenia, online;

• Jun 27-29, 2018, Co-organizer (with Francesca Arrigo) of the minisymposium Matrix functions and quadrature rules with applications to complex networks, 6th IMA Conference on Numerical Linear Algebra and Optimization, Birmingham, UK. 

Speakers (in addition to myself): Tudisco (Strathclyde University), Fasi (Manchester University), Noferini (Essex University). 

Title of my talk: Look-ahead Lanczos, Gauss quadrature and minimal partial realization.

Postdoctoral fellows mentored

• Niel Van Buggenhout (2020-2023)

Current supervised PhD and Master Students

• Shazma Sahid (Ph.D.)

• Mahmood Faisal (Ph.D.)

Past supervised PhD and Master Students

• Lorenzo Lazzarino (Master)

Teaching activities

• 2020-present- Instructor - Numerical Mathematics, BSc. program in Informatics, Charles University, Prague, Czech Republic;

• 2020-present - Instructor - Algorithms for Matrix Iterative Methods, MSc. program in Mathematics, Charles University, Prague, Czech Republic;

• 2019-2020 - Instructor - Matrix Iterative Methods I and II, MSc. program in Mathematics, Charles University, Prague, Czech Republic;

• 2016 - Course assistant - Numerical Calculus Laboratory, BSc. program in Mathematics, University of Bologna, Italy;

• 2016 - Adjunct instructor - Numerical Calculus (partial), BSc. program in Computer Science, University of Padova, Italy;

• 2015 - Adjunct instructor - Numerical Calculus (complete course), BSc. program in Civil Engineering, Advanced School of Public Works at Yaoundé, Cameroon;

• 2015 - Course assistant - Numerical Calculus Laboratory, BSc. program in Computer Science, University of Padova, Italy;

• 2012-2015 - Course assistant - Numerical Calculus Laboratory, BSc. programs in Engineering, University of Padova, Italy;

• 2011-2012 - Tutor - Mathematical Analysis, BSc. programs in Engineering, University of Padova, Italy;

Popularization of science

Co-founder and collaborator of PLaNCK!, a science magazine for children supported by University of Padova. Website: www.planck-magazine.it and www.accatagliato.com

Scientific communications

• Seminar: Feb 13, 2024, How to express the solution of an ODE as a linear system (in a suitable algebra) and exploit it for fast computation, Scuola Normale Superiore, Pisa, Italy;

• Seminar: Nov 22, 2023, A fast numerical method for the operator solution of the generalized Rosen-Zener model, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Charles University, Prague;

• Invited talk (session): Sept 4-9, 2023, A new matrix equation expression for solving non-autonomous linear systems of ODEs, Congresso UMI, Pisa, Italy;

• Invited talk (minisymposium): July 3-6, Matrices, moments (and quadrature?) in the time-continuous ⋆-algebra, NASCA23, Athens, Greece;

• Invited talk (minisymposium): June 12-16, 2023, The Short-term Rational Lanczos Method and Applications, 25th Conference of the International Linear Algebra Society, Madrid, Spain;

• Invited speaker: Mar, 5-10, 2023, The ⋆-product approach for linear ODEs, Perspectives on Matrix Computations: Theoretical Computer Science Meets Numerical Analysis, Banff International Research Station, Canada;

• Invited speaker: Jan 23-27, 2023, Matrix decay phenomenon and its applications, Seminar on Numerical Analysis,  Ostrava, Czech Republic;

• Contributed talk: Aug 15-19, 2022, A tensor Lanczos procedure for non-autonomous ODEs, GAMM 92nd Annual Meeting,  Aachen, Germany;

• Invited speaker: Jun 19-24, 2022, A Lanczos-like method for non-autonomous linear ordinary differential equations, PANM 21-Programy a algoritmy numerické matematiky 21,  Jablonec nad Nisou, Czech Republic;

• Invited plenary speaker: Jun 12-17, 2022, Functions of Rational Krylov Space Matrices and Their Decay Properties, Householder Symposium,  Selva di Fasano, Italy;

• Contributed talk: Jun 1-3, 2022, From the ∗-product algebra to the matrix algebra, ALAMA, Alcalá de Henares, Spain;

• Seminar: Dec 1, 2021, The ∗-product and its numerical approximation — University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Online;

• Contributed talk: Nov 8-12, 2021, Gauss quadrature for linear functionals and Lanczos algorithm, Numerical Methods and Scientific Computing, Luminy, France;

• Seminar: Oct 7, 2021, A Lanczos-like method for the time-ordered exponential, Seminář Numerické Matematiky, Department of Numerical Mathematics, Charles University, Prague, Czech Republic;

• Contributed talk: Sept 20–21, 2021, The ∗-product and its numerical approximation, Mathematics of High-Performance Computing, Prague, Czech Republic;

• Contributed talk: Sept 16–17, 2021, Functions of Rational Krylov Space Matrices and their Decay Properties, GAMM Workshop Applied and Numerical Linear Algebra 2021, University of Potsdam, Germany;

• Invited talk (minisymposium): Sept 6-10, 2021, Gauss quadrature for linear functionals and Lanczos algorithm, 5th Dolomites Workshop on Constructive Approximation and Applications, Online, Italy;

• Invited talk (workshop): May 27, 2021, A Lanczos-like method for the time-ordered exponential, Workshop Walks, Algebra, Combinatorics and Applications, Calais, France;

• Contributed talk: May 17, 2021, Functions of Rational Krylov Space Matrices and their Decay Properties, SIAM Conference on Applied Linear Algebra, Online, USA;

• Seminar: May 7, 2021, The short-term rational Lanczos method and applications, Seminari di Analisi Numerica, University of Pisa, Italy, Online;

• Seminar: Dec 7, 2020, Tridiagonalization of systems of coupled linear differential equations with variable coefficients by a Lanczos-like method — University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Online;

• Seminar: Oct 5, 2020, A Lanczos-like method for the time-ordered exponential, Communications in Numerical Linear Algebra, Online [Video];

• Seminar, Jun 22, 2020, Decay  properties  and  the  Rational  Krylov  Subspace Method — University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Online;         

• Seminar: Feb 4, 2020, A Lanczos-like method for the time-ordered exponential, University of Padova, Italy;

• Seminar: Feb 3, 2020, A Lanczos-like method for the time-ordered exponential, University of Bologna, Italy;

• Seminar: Dec 9, 2019, A Lanczos-like method for the time-ordered exponential, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Prague, Czech Republic;

• Contributed talk: Sept 8-13, 2019, Lanczos-like method for the time-ordered exponential, MAT TRIAD 2019, Liblice, Czech Republic;

• Invited talk (minisymposium): Jul 15-19, 2019, Stability of network indexes defined by means of matrix functions, ICIAM 2019, Valencia, Spain;

• Seminar: Jun 25, 2019, Lanczos-like method for the time-ordered exponential, ULCO matrix analysis seminar, Université du Littoral Côte d’Opale, Calais, France;

• Invited talk (minisymposium): May 27-29, 2019, Gauss quadrature for linear functionals and Lanczos algorithm, ETNA25 - Recent Advances in Scientific Computation, Santa Margherita di Pula, Italy;

• Seminar: May 6, 2019, Lanczos algorithm as a network reduction method, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Prague, Czech Republic;

• Seminar: Feb 14, 2019, Stability of network indexes defined by means of matrix functions, Numerical Analysis Seminar, Strathclyde University, Glasgow, UK; 

• Contributed talk: Jan 24, 2019, Stability of network indexes defined by means of matrix functions, Seminář Numerické Analýzy, Ostrava, Czech Republic;

• Seminar: Jan 10, 2019, Network Indexes and Matrix Functions: Stability and Approximation, Seminář Numerické Matematiky, Department of Numerical Mathematics, Charles University, Prague, Czech Republic;

• Seminar: Dec 10, 2018, Stability of network indexes defined by means of matrix functions, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Prague, Czech Republic;

• Contributed talk: May 27-Jun 1, 2018, Algebraic solution of the finite Stieltjes moment problem: a comment on history, EMS Summer Schools in Applied Mathematics (ESSAM), Kácov, Czech Republic;

• Seminar: May 21, 2018, Gauss quadrature for quasi-definite linear functionals, University Center for Mathematical Modeling, Applied Analysis and Computational Mathematics (UNCE) Seminar, Prague, Czech Republic;

• Contributed talk: Mar 19-23, 2018, Stability of network indexes defined through matrix functions, 89th GAMM Annual Meeting, Munich, Germany;

• Invited talk: Feb 14-16, 2018, Gauss quadrature for linear functionals and Lanczos algorithm, Convegno e Assemblea GNCS, Montecatini, Italy.

• Contributed talk: Feb 8-9, 2018, Lanczos algorithm, Gauss quadrature, and minimal partial realization, Due Giorni di Algebra Lineare Numerica e Applicazioni, Padova, Italy;

• Invited talk: Jun 18–23, 2017, Decay Bounds for Functions of Banded non-Hermitian Matrices, Householder Symposium, Virginia Tech, VA, USA (participation is by invitation only);

• Contributed talk: Sept 13–16, 2016, Decay bounds for functions of structured non-Hermitian matrices, SIMAI2016, Milan, Italy;

• Contributed talk: Jul 11–15, 2016, Decay bounds for functions of structured non-Hermitian matrices, 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium;

• Contributed talk: Nov 21, 2015, n-weight Gauss Quadrature for Quasi Definite Linear Functionals, Networking in Numerical Analysis 2015. A two-day Meeting in Bertinoro, Bertinoro, Italy;

• Seminar: Nov 20, 2014, Complex Jacobi matrices and Gauss quadrature for quasi-definite linear functionals, Seminář Numerické Matematiky, Department of Numerical Mathematics, Charles University, Prague, Czech Republic;

• Seminar: Sept 25, 2014, Complex Jacobi Matrix and Gauss Quadrature, Seminari Padovani Analisi Numerica, Dipartimento di Matematica, Università di Padova;

• Seminar: Jun 18, 2014, Jacobi matrices, orthogonal polynomials and Gauss quadrature. An introduction and some results for the non-hermitian case, Seminario Dottorato, Dipartimento di Matematica, Università di Padova;

• Seminar: Feb 6, 2013, Reti Complesse, indici di centralità e graduatorie, Seminari NumLab, Università di Padova.

Posters

• Sept 4-8, 2017, Lanczos algorithm and the Gauss quadrature for linear functionals, Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, Cortona, Italy;

• May 7, 2015, Complex Jacobi matrices and Gauss quadrature for quasi-definite linear functionals, Numerical Algebra, Matrix Theory, Differential-Algebraic Equations, and Control Theory, Berlin, Germany.

Conferences and schools

In addition to the conferences and schools mentioned above.

• Jul 31 - Aug 4, 2017, Implicitly Constituted Materials: Modeling, Analysis and Computing, Roztoky, Czech Republic;

• Feb 13-14, 2017, 7th Workshop on Matrix Equations and Tensor Techniques (METT), Pisa, Italy;

• Jun 6-7, 2016, Workshop: Mathematical Models and Computational Methods for Complex Networks, Pisa, Italy;

• Jun 22-26, 2015, CIME-EMS Summer School on Exploiting Hidden Structure in Matrix Computations. Algorithms and Applications, Cetraro, Italy;

• Jul 14-18, 2014, International Summer School on Complex Networks, Bertinoro, Italy;

• Jan 27-31, 2014, Seminář Numerické Analýzy, Nymburk, Czech Republic;

• Jul 22 - Aug 9, 2013, Gene Golub SIAM Summer School - Matrix Functions and Matrix Equations, Shanghai, China;

• May 15-17, 2013, International Spring School on Matrix Functions and their Applications, Lille, France;

• Jan 29-31, 2013, Algebra Lineare Numerica e Applicazioni a Roma Tor Vergata, Rome, Italy;

• Dec 9-15, 2012, Scuola Nazionale Scienza, Comunicazione, Società - Scienza e Democrazia, Bardonecchia, Italy;

• Jun 18-22, 2012, 2012 SIAM Conference on Applied Linear Algebra, Valencia, Spain;

• Feb 16-17, 2012, Due Giorni di Algebra Lineare Numerica, Genova, Italy.