![]() After a year as a research assistant working with Piet Van Mieghem at TU Delft, I went to the University of Oxford to obtain Ph.D. in Electrical Engineering from TU Delft in the Netherlands (2017). in Electrical Engineering from KU Leuven in Belgium (2014), spent an exchange year at KTH in Stockholm, and then obtained an M. I am always happy to chat, so please get in touch if you want to share some ideas or discuss any of these topics! Some specific topics of interest are: Laplacian matrices, the effective resistance, dynamics on graphs, network science and discrete curvature. My research interests lie at the intersection between graph theory, linear algebra and geometry, and I am interested both in developing mathematical theory as well as applying it to various real-world problems. ![]() I am a postdoc in the Spectral Hypergraph Theory group of Raffaella Mulas. In the same year, I was elected Member of the Elisabeth-Schiemann-Kolleg.īesides research, I am active in science communication, and enjoy drawing, traveling, reading, swimming, and swing dancing. In 2021, I was awarded a Minerva Fast Track Fellowship from the Max Planck Society and chose to become a Minerva Group Leader at the Max Planck Institute for Mathematics in the Sciences. In 2020, I was also awarded the Prize "Donna di Scienza - Giovani" (Woman of Science - Young) from my home island of Sardinia. During this postdoc, I had the chance to deepen the mathematical foundations of spectral hypergraph theory, as well as to apply this theory to problems arising in physics and biology. From 2020 to 2021, I did a postdoc between the Alan Turing Institute of London and the University of Southampton, where I worked in the group of Ben MacArthur, and was a Visiting Researcher at the London Institute for Mathematical Sciences. I then received my PhD (2020) at the Max Planck Institute for Mathematics in the Sciences under the supervision of Jürgen Jost, with a thesis on the spectral theory of graphs and hypergraphs. There are no edges in the empty hypergraph.I obtained my Master's degree at the University of Bonn (2017), where I worked on mathematical neurosciences and combinatorial stochastic processes under the supervision of Ngoc Mai Tran. On the right, the same five vertices are joined to new vertices(three) representing the hyperedges by ordinary edges.Ī hypergraph can have a number of different properties, including – Five vertices on the left are connected by three hyperedges. We simply represent the vertices of H as vertices in Q and the hyperedges of H as vertices in P, and insert an edge (p, q) whenever s is a member of the hyperedge t in H.Ī hypergraph is depicted in two ways. The vertex set in a bipartite graph can be divided into two subsets, P and Q, with each edge connecting a vertex in P to a vertex in Q. Mathematics | Graph Theory Basics - Set 2īecause it is always possible (though not always convenient) to express a hypergraph by a bipartite graph, hypergraphs are rarely utilized.Mathematics | Partial Orders and Lattices.Mathematics | Power Set and its Properties.Graph measurements: length, distance, diameter, eccentricity, radius, center.Mathematics | Propositional Equivalences.Runge-Kutta 2nd order method to solve Differential equations.Mathematics | Total number of possible functions.Mathematics | Graph Theory Basics - Set 1.Mathematics | Predicates and Quantifiers | Set 1.Mathematics | Euler and Hamiltonian Paths.Mathematics | Graph Isomorphisms and Connectivity.Mathematics | Introduction and types of Relations.Newton's Divided Difference Interpolation Formula.Mathematics | Walks, Trails, Paths, Cycles and Circuits in Graph.Mathematics | Introduction to Propositional Logic | Set 1.Mathematics | L U Decomposition of a System of Linear Equations.Relationship between number of nodes and height of binary tree.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.Full Stack Development with React & Node JS(Live).Preparation Package for Working Professional.Full Stack Development with React & Node JS (Live).Data Structure & Algorithm Classes (Live).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |