Spectral Matrix Factorisations Professors and Supervisors

Jan de GierView profile

Professor

University of MelbourneAustralia

Jan de Gier is a Professor at the School of Mathematics and Statistics, The University of Melbourne . He is also the Founding Director of MATRIX , Australia’s residential research institute in the mathematical sciences, and a former Deputy Director and Chief Investigator in the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS) . Additionally, he co-founded the Australian and New Zealand Association for Mathematical Physics (ANZAMP) in 2011 and served as its inaugural Chair. His research focuses on solvable lattice models at the intersection of mathematical physics and statistical mechanics . Key areas include the application of quantum integrability , algebraic structures like the Yang-Baxter equation, Hecke algebras, and quantum groups, as well as analytical methods such as complex analysis and elliptic curves. His work bridges pure and applied mathematics through connections between enumerative combinatorics , representation theory , and real-world phenomena like traffic flow modeling via exclusion processes . The 15 most recent articles reflect his expertise in integrable systems , non-equilibrium statistical mechanics , and algebraic combinatorics . Topics span Macdonald polynomials , stochastic duality , quantum spin chains , and traffic modeling , with methodologies involving matrix product forms , exact solutions , and critical phenomena analysis. He has contributed to editorial efforts through the AustMS Gazette and MATRIX Annals, and has been involved in public science communication via opinion pieces on mathematics funding and applications. His work emphasizes the importance of fundamental research in driving technological innovation, as highlighted in media articles discussing pi calculation , zero-knowledge proofs , and mathematics education .

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Dimitris ChiotisView profile

Lecturer

Queen Mary University of LondonUnited Kingdom

Dimitris Chiotis is a Lecturer in Mathematics at the School of Physical and Chemical Sciences, Queen Mary University of London. He holds a PhD from Newcastle University (2020) for his thesis on superoptimal analytic approximation and exterior products. Previously, he was a Lecturer in Pure Mathematics at Newcastle University and a Research Fellow at the Euler International Mathematical Institute in St. Petersburg. His academic qualifications include MSc and BSc in Mathematics from the University of the Aegean, Greece. Research interests focus on superoptimal analytic approximation, exterior products of vector-valued maps, spectral matrix factorisations, Reproducing Kernel Hilbert Spaces (RKHS), and operator theory. He has collaborated with institutions like St. Petersburg University and Kagool Ltd, where he worked in data engineering using Azure technologies. His work bridges pure mathematics with applications in cloud computing and data science. Publications emphasize operator theory innovations and algorithmic approaches to approximation problems, with recent work on Jupyter notebook analysis in education. Awards include a Newcastle University PhD scholarship and Fellowship from the Higher Education Academy. He has secured grants from the London Mathematical Society and Heilbronn Institute to support conference organization. Chiotis teaches Linear Programming and Games in Queen Mary's Hainan program, offering supervision for BSc/MSc projects in his research areas.

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Alessandro TorrielliView profile

Professor

University of SurreyUnited Kingdom

Professor Alessandro Torrielli is a faculty member in the Department of Mathematics at the University of Surrey, School of Mathematics and Physics. He was promoted to Professor of Mathematics in 2022 after joining the department in 2011. His research focuses on classical and quantum integrable systems, particularly in the context of the AdS/CFT correspondence, with expertise in Yangians, S-matrices, and quantum field theory. His research interests center on integrable systems emerging in AdS/CFT correspondence, with special focus on AdS3/CFT2. He has made significant contributions to understanding massless modes, boundary integrability, form factors, and algebraic structures in these systems. His work often bridges mathematical physics with string theory applications, exploring quantum groups, Bethe ansatz techniques, and hidden symmetries. His recent publications demonstrate a strong focus on boundary scattering in AdS3, form factors in relativistic limits, and the mathematical structures underlying integrable systems. The publication pattern shows consistent contributions to high-energy physics journals, with particular emphasis on the mathematical aspects of string theory integrability. Scientific Awards: Recipient of the EPSRC-SFI grant 'Solving spins and strings' (2018) Voted Best Lecturer at the Durham Integrability School (2015) Awarded EPSRC First grant 'Exotic quantum groups, Lie superalgebras & integrable systems' (2012) Professor Torrielli supervises PhD students including Fabio Marino (joint with Prof Sara Pasquetti, Milan Bicocca), Vaibhav Gautam (joint with Dr Masanori Hanada, Queen Mary University of London), and Vasileios Moustakis. His research collaborations span internationally with researchers from institutions including City University, Leuven, Chulalongkorn, Bologna, Santiago, Torino, Trinity College Dublin, HU Berlin, ETH, King's College, and others.

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Malte A. PeterView profile

Professor

University of AugsburgGermany

Professor Malte A. Peter is a distinguished faculty member at the University of Augsburg, holding a professorship in Applied Analysis within the Faculty of Mathematics, Natural Sciences, and Materials Engineering. He serves as Vice-director of the Centre for Advanced Analytics and Predictive Sciences and is a member of the board of directors of the AI Production Network at the University of Augsburg. His leadership extends to international collaborations as a Local representative of the Association of Applied Mathematics and Mechanics (GAMM) and as an Associate editor of Nature Scientific Reports. His research spans mathematical modeling of wave phenomena, homogenization theory, and multiscale analysis. Key areas include water wave scattering, periodic homogenisation, physico-chemical mechanisms in multiscale media (porous media, biological cells), microfluidics, and materials science. His work bridges theoretical mathematics with practical applications in engineering and physics, particularly in understanding wave propagation through complex media and developing mathematical frameworks for evolving microstructures. Peter's publication record demonstrates consistent advancement in wave scattering theory, with recent work focusing on multiple wave scattering in locally resonant materials, homogenization of evolving microstructures, and computational methods for complex material behavior. His research shows increasing interdisciplinary collaboration, particularly with physicists and engineers working on metamaterials, wave energy applications, and material characterization. The trajectory indicates growing emphasis on computational implementations of theoretical frameworks. Life membership at Clare Hall, University of Cambridge (2023) Visiting fellowship at Clare Hall, University of Cambridge (2023) Gavin Brown Best Paper Prize of the Australian Mathematical Society (2021) Bremer Studienpreis 2007 (Rotary Club Bremen–Roland Prize) (2008) Admission to the German National Academic Foundation (2001) As leader of the Modelling and Simulation workgroup, Peter directs research on mathematical approaches to complex physical phenomena. His current externally funded projects include 'Novel approaches for the multidimensional convexification of inelastic variational models for fracture' (DFG-SPP 2256) and 'Effective factorisation techniques for matrix functions' (H2020-EU.1.3.). His previous projects have addressed carbon fiber reinforced concrete, lipid membrane dynamics, and electromagnetic emissions from crack propagation. His research program maintains strong international connections, particularly with Australian institutions and the Isaac Newton Institute. Peter leads the 'Workgroup Prof. Dr. M. A. Peter - Modelling and simulation' at the University of Augsburg, which includes research associates Dr. Tanja Lochner, Dr. Sophie Thery, and Lucas Fix, along with computational mathematics specialists Dr. Loïc Balazi and Timo Neumeier. The group collaborates extensively with international partners, particularly through the Isaac Newton Institute programmes and Australian research institutions. Current projects focus on mathematical frameworks for wave scattering, homogenization of evolving microstructures, and computational methods for material failure analysis.

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