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research.html
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<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Research - Edoardo's webpage</title>
<link href="custom.css" rel="stylesheet">
<!-- Bootstrap CSS -->
<link href="https://cdn.jsdelivr.net/npm/[email protected]/dist/css/bootstrap.min.css" rel="stylesheet">
<style>
.research-section {
display: flex;
align-items: center;
justify-content: center;
flex-direction: column;
height: 100%;
opacity: 1; /* All sections are initially visible */
transition: opacity 0.5s, transform 0.5s;
transform: translateX(0);
}
.active[data-index="1"] {
transform: translateX(0); /* Stay in place */
}
.active[data-index="2"] {
transform: translateX(-100%);
}
.active[data-index="3"] {
transform: translateX(-200%);
}
.unactive[data-index="1"] {
transform: translateX(0); /* Stay in place */
opacity: 0;
}
.unactive[data-index="2"] {
transform: translateX(0);
opacity: 0;
}
.unactive[data-index="3"] {
transform: translateX(0);
opacity: 0;
}
.research-link {
cursor: pointer;
}
</style>
</head>
<body>
<!-- Navigation Bar -->
<nav class="navbar navbar-expand-lg navbar-light bg-primary">
<div class="container">
<a class="navbar-brand" href="index.html">
<img src="my_logo_primary.png" alt="My Logo" height="40">
</a>
<button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse" id="navbarNav">
<ul class="navbar-nav">
<li class="nav-item">
<a class="nav-link" href="about.html">About</a>
</li>
<li class="nav-item">
<a class="nav-link" href="research.html">Research</a>
</li>
<li class="nav-item">
<a class="nav-link" href="teaching.html">Teaching</a>
</li>
<li class="nav-item">
<a class="nav-link" href="blog.html">Blog</a>
</li>
</ul>
</div>
</div>
</nav>
<!-- Home Content -->
<section class="py-5">
<div class="container">
<h2 class="mb-4 text-center">Research interests</h2>
<!-- Image Buttons with Links -->
<div class="mt-5 row justify-content-center">
<div class="col-md-4 research-section" data-index="1" id="ml">
<a href="#" class="research-link">
<img src="neural_network.png" alt="Button 1" class="img-fluid" style="max-width: 300px;">
</a>
<h2 class="mt-3 text-center">Machine Learning for solving ODEs and PDEs</h2>
<p class="mt-2">
I exploit Neural Networks for approximating the solution of systems of ODEs and PDEs.
I recently started studying DeepONets for various models, especially
ionic models involved in the description of the cardiac cell physiology.
</p>
</div>
<div class="col-md-4 research-section" data-index="2" id="cc">
<a href="#" class="research-link">
<img src="heart.png" alt="Button 2" class="img-fluid" style="max-width: 300px;">
</a>
<h2 class="mt-3 text-center">Computational Cardiology</h2>
<p class="mt-2">
In this research area, I study preconditioners for large sparse linear
systems derived from numerical discretization of PDEs involved in the
description of the cardiac electrophysiology. Furthermore, I am part
of the MICROCARD European research project funded by EuroHPC
<a href="https://www.microcard.eu/index-en.html" target="_blank">(link)</a>.
</p>
</div>
<div class="col-md-4 research-section" data-index="3" id="qi">
<a href="#" class="research-link">
<img src="physics.png" alt="Button 3" class="img-fluid" style="max-width: 300px;">
</a>
<h2 class="mt-3 text-center">Quantum Information</h2>
<p class="mt-2">
During my master thesis, I have explored quantum computing research areas,
in particular the quantum version of the Cellular Automata.
I have studied and implemented a model of interacting massless QCA,
with its free dynamics recovering the Dirac Equation in the continuous limit.
I occasionally collaborate also with my old colleagues and friends
at the physics department of the University of Pavia.
</p>
</div>
</div>
</div>
<div class="container py-5">
<!-- Publications Section -->
<h2>Publications</h2>
<ul class="list-group mt-3">
<li class="list-group-item">
E. Centofanti, M. Ghiotto, L.F. Pavarino, Learning the Hodgkin-Huxley Model with Operator Learning Techniques,
<a href="https://www.sciencedirect.com/science/article/pii/S0045782524006364" target="_blank">Computer Methods in Applied Mechanics and Engineering 432, Part A (2024): 117381.</a>
</li>
<li class="list-group-item">
E. Centofanti, A. Bisio, P. Perinotti, Massless interacting fermionic cellular automaton exhibiting bound states,
<a href="https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.052421" target="_blank">Physical Review A 109, no. 5 (2024): 052421.</a>
</li>
<li class="list-group-item">
E. Centofanti, S. Scacchi, A comparison of Algebraic Multigrid Bidomain solvers on hybrid CPU-GPU architectures,
<a href="https://www.sciencedirect.com/science/article/pii/S0045782524001312" target="_blank">Computer Methods in Applied Mechanics and Engineering 423 (2024): 116875.</a>
</li>
</ul>
</div>
<div class="container py-5">
<!-- Invited Talks Section -->
<h2>Invited Talks</h2>
<ul class="list-group mt-3">
<li class="list-group-item">
Seminari di matematica applicata, University of Milan, Milan, Italy - October 22, 2024
<br>
<small>Seminar title: Operator Learning for Ionic Models in Biomathematics </small>
</li>
<li class="list-group-item">
ECCOMAS24: 9th European Congress on Computational Methods in Applied Sciences and Engineering, Lisbon, Portugal - June 3- 7, 2024
<br>
<small>Minisymposium title: Simulating Cardiac Function with Cellular and Subcellular Resolution, organized by M. Weiser, R. Krause, S. Scacchi and S. Pezzuto </small>
</li>
<li class="list-group-item">
Lions Magenes days, Pavia, Italy - May 21- 22, 2024
</li>
<li class="list-group-item">
Algorithmy24, Central-European Conference on Scientific Computing High Tatra Mountains, Slovakia - March 15- 20, 2024
</li>
<li class="list-group-item">
DD28: 28th International Conference on Domain Decomposition Methods, KAUST, Saudi Arabia - January 28- February 01, 2024
</li>
<li class="list-group-item">
ICIAM2023: 10th International Congress on Industrial and Applied Mathematics, Tokyo, Japan - August 20-25, 2023
<br>
<small>Minisymposium title: Computational medicine of the heart: towards cardiac digital twins, organized by L. Dedè, A. Quarteroni </small>
</li>
<li class="list-group-item">
IMPDE2023: Research School on Iterative Methods for Partial Differential Equations, Paris, France - May 15-16, 2023
</li>
<li class="list-group-item">
LYNUM-V, Lombardy Young Numerical Analysts Meeting (MediolaNUM edition), Milan, Italy - May 12, 2023
</li>
<li class="list-group-item">
International Multigrid Conference, Lugano, Switzerland - August 22-26, 2022
</li>
</ul>
<!-- Contributed Talks Section -->
<h2 class="mt-4">Contributed Talks</h2>
<ul class="list-group mt-3">
<li class="list-group-item">
Final MICROCARD workshop, Freiburg im Breisgau, Germany - September 14, 2024
</li>
<li class="list-group-item">
Scientific Machine Learning, emerging topics, Trieste, Italy - June 18-21, 2024
</li>
<li class="list-group-item">
INdAM Workshop "Mathematical and Numerical Modeling of the Cardiovascular System", Rome, Italy - April 15-19, 2023
</li>
<li class="list-group-item">
Third Conference of Young Applied Mathematicians, Siena, Italy - September 18-22, 2023
</li>
<li class="list-group-item">
Workshop Matematica per l’Intelligenza Artificiale e il Machine Learning: Giovani ricercatori, Politecnico di Torino, Torino, Italy - November 24-26, 2022
</li>
<li class="list-group-item">
Second Conference of Young Applied Mathematicians, Arenzano, Italy - September 18-22, 2022
</li>
</ul>
<!-- Visiting & Other Activities Section -->
<h2 class="mt-4">Visiting & Other Activities</h2>
<ul class="list-group mt-3">
<li class="list-group-item">
Poster session at "Compmat Spring Workshop", University of Pavia, Pavia, Italy - May 08, 2024
<a href="https://sites.google.com/universitadipavia.it/compmat-spring-workshop/poster-session" target="_blank">(link to poster session page)</a>
<a href="https://drive.google.com/file/d/1cVDdhtPvpe7AJjA-98rEoTTUHf5IOW8U/view" target="_blank">(link to poster)</a>
</li>
<li class="list-group-item">
Attendee at PINN-PAD, Physics Informed Neural Networks in PADova, University of Padua, Padua, Italy - February 22-23, 2024
</li>
<li class="list-group-item">
Attendee at 3rd MICROCARD workshop, Strasbourg University, Strasbourg, France - July 4-5, 2023
</li>
<li class="list-group-item">
Visiting period at the Applied Mathematics Department, Brown University, Providence (RI) - June 2023
</li>
<li class="list-group-item">
Attendee at Mathematical and Scientific Machine Learning, ICERM, Providence (RI) - June 5-9, 2023
</li>
<li class="list-group-item">
MICROCARD WP3-5 meeting, ZIB, Berlin, Germany - March 16-17, 2023
</li>
<li class="list-group-item">
Attendee at 2nd MICROCARD workshop, Liryc institute, Bordeaux, France - July 6-7, 2022
</li>
</ul>
</div>
<div class="text-center">
<a class="btn btn-primary my-4" href="https://scholar.google.com/citations?user=6ka8I_IAAAAJ&hl=en" target="_blank" style="background-color: var(--primary-color); border-color: var(--primary-color);">Google Scholar</a>
</div>
</section>
<!-- Bootstrap JavaScript and Popper.js -->
<script src="https://cdn.jsdelivr.net/npm/[email protected]/dist/js/bootstrap.bundle.min.js"></script>
</body>
</html>