Updates

Here you can find a quick list of updates on my work. Enjoy!


This list consists of quick, typically one-line, updates on the published work, planned talks, and travelling. More detailed descriptions of the published papers can be found here.


2026· 4 updates
Oct 8

We are looking for abstracts! The Workshop on Higher-Order Models in Aachen: Signals, Spaces, and Systems takes place on Feb 22-25, 2027. Submit a talk or poster abstract (up to 500 words) by Nov 15, 2026; registration is free.

Sep 28-30

Attending the annual CRC 1481 Retreat 2026 at Burg Frankenberg, Aachen.

Aug 25

Our paper Efficient Sparsification of Simplicial Complexes via Local Densities of States with Michael Schaub, Francesco Tudisco, and Nicola Guglielmi is accepted to SIMODS; links will follow soon.

May 4-8

Attending the CRC 1481 Spring School 2026 at RWTH Aachen mostly focusing on the Mathematical Foundations of Deep Learning.

2025· 7 updates
Nov

The preprint for Grassmanian Interpolation of Low-Pass Graph Filters: Theory and Applications with Michael Schaub and Benjamin Stamm is up online.

Sep 22-25

Attending the Workshop on Mathematical Signal Processing of the CRC 1481 at RWTH Aachen: machine learning, phase retrieval, low-rank recovery and graph signal processing.

Aug 11-13

Our group is organizing a workshop HOOC - Higher Order Opportunities and Challenges on August 11-13 at RWTH, Aachen. See you there!

Jun 2-6

I will be travelling for NetSci 2025 conference in Maastricht with the poster talk about Efficient Sparsification of Simplicial Complexes.

Feb 11

The preprint for Efficient Sparsification of Simplicial Complexes via Local Densities of States with Michael Schaub, Francesco Tudisco, and Nicola Guglielmi is up online.

Jan

The preprint for Convergence of gradient based training for linear Graph Neural Networks with Michael Schaub and Dhiraj Patel is up online.

Jan

Our paper Contractivity of neural ODEs: an eigenvalue optimization problem is accepted to Mathematics of Computation.

2024· 7 updates
Aug

Our paper Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex is accepted to SIMAX.

Jul 1

I am (finally) officially starting my work in Computational Network Science group at RWTH Aachen.

May 13-17

I will be travelling for SIAM LA24 conference in Paris with the contributed talk about HeCS-preconditioning of Higher-Order Laplacians on Simplicial Complexes.

May 9

My PhD defense titled Topological Instability and Preconditioning of Higher-Order Laplacian Operators on Simplicial Complexes has finally taken place.

Apr 18

Our long-suffering paper on Impact of coupling on the road to synchronization of two coupled Van der Pol oscillators with Sasha Shapoval and Mikhail Shnirman is published in Physica D.

Feb 21

The preprint for Contractivity of neural ODEs: an eigenvalue optimization problem with Francesco Tudisco, Nicola Guglielmi and Arturo de Marinis is up online.

Feb 1

The preprint for Cholesky-like Preconditioner for Hodge Laplacians via Heavy Collapsible Subcomplex with Francesco Tudisco and Nicola Guglielmi is (finally) online!

2023· 5 updates
Nov 28

I will be spending months of December and January at RWTH Aachen in the group of Michael Schaub.

Jul 26

Our paper Quantifying the structural stability of simplicial homology is accepted to Journal of Scientific Computing.

Jul 10-14

I'm travelling to the NetSci 2023, Vienna, Austria.

Contributed talk: Quantifying the Topological Stability of a Simplicial Complex, program here.

Jun 12-16

I'm travelling to the 25th Conference of the International Linear Algebra Society, Mardid, Spain.

Contributed talk: Quantifying the Topological Stability of a Simplicial Complex, program here.

Jan 11

The preprint for Quantifying the structural stability of simplicial homology with Francesco Tudisco and Nicola Guglielmi is (finally) online!

2022· 6 updates
Dec 23

The repository with Julia code for the HOLaGraF project is up online.

The full paper will follow soon.

Sep 13

Giving a lighting talk on the joint work Topological Stability of the Simplicial Complex via Matrix Differential Equations with Nicola Guglielmi and Francesco Tudisco at SIAM Network Science Workshop 2022.

Aug 19

The talk with Nicola Guglielmi and Francesco Tudisco on the Topological Stability of Simplicial Complexes is accepted as a lightning presentation at SIAM Network Science Workshop 2022.

Jul 31 - Aug 2

Travelling for EUROPT 22 conference and summer school at Lisbon, Portugal.

May 11-13

Presenting a poster Gradient Flow Optimisation for Graph Topological Stability at Numerical Methods for Compression and Learning, L’Aquila, Italy.

Feb 14-15

Giving a contributed talk Graph Topological Stability via Matrix Differential Equations at Two Days of Numerical Linear Algebra and Applications in Napoli, Italy. Joint work with Nicola Guglielmi and Francesco Tudisco.

CODEsavostianov [at] netsci dot rwth-aachen.degithubscholarbluesky