# Curriculum

### Research interests

Numerical solution of systems of coupled linear ODEs with non-constant coefficients;

Krylov subspace methods, the Gauss quadrature, orthogonal polynomials, and the moment problem;

The minimal partial realization problem with application to operational modal analysis;

Functions of banded matrices, low-rank and sparse perturbations of matrix functions with application to complex network analysis;

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 degree summa cum laude in Mathematical Sciences at 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 of the ANR research project*MAGICA (MAGnetic resonance techniques and Innovative Combinatorial Algebra),*France.**Jan 2021 to Dec 2023 -**Principal Investigator of the PRIMUS research project*A Lanczos-like Method for the Time-Ordered Exponential*, Charles University.**Jan 2018 - Present -**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

**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.

### Teaching activities

**2020-2021 - 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****, 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: 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.