Find Academic Supervisors

• Integrable Models
• AdS/CFT Correspondence
• Yang-Baxter Models
• +7 more

Stijn J. van Tongeren is a theoretical physicist and Emmy Noether junior research group leader at Humboldt University, Berlin. His research focuses on integrable models within the context of the AdS/CFT correspondence, particularly exploring Yang-Baxter deformations, twist-noncommutative gauge theories, and mirror duality in string theory. He holds a PhD from Utrecht University (2013), supervised by Prof. Gleb Arutyunov, and previously conducted postdoctoral research under Prof. Matthias Staudacher in the 'Space-Time-Matter' group at Humboldt University. His work spans integrable sigma models, quantum deformations of spacetime geometries, and the application of Drinfeld twists to gauge/gravity duality. Key areas include the analysis of η-deformed AdS5×S5 superstrings, non-relativistic string actions, and the thermodynamic Bethe ansatz. His research bridges string theory, quantum field theory, and mathematical physics, emphasizing the role of exact solutions and symmetry structures. Scientific contributions include the development of quantum spectral curves for deformed backgrounds and the exploration of mirror duality in non-geometric settings. He has received the prestigious Emmy Noether grant to lead a research group investigating integrable deformations and their implications for AdS/CFT. His collaborative work often addresses foundational questions in string theory dualities and integrability preservation under deformations.

J.P. McCarthyView profile

Lecturer

• Quantum Groups
• Random Walks on Finite Quantum Groups
• Operator Algebras
• +3 more

J.P. McCarthy is a Lecturer in the Department of Mathematics at Munster Technological University (MTU), Ireland. His research focuses on Quantum Groups, Random Walks on Finite Quantum Groups, and related areas in Operator Algebras and Mathematical Physics. He completed his PhD in Mathematics at University College Cork (UCC) in 2017 under the supervision of Dr. Stephen Wills, with a thesis titled Random Walks on Finite Quantum Groups — Diaconis-Shahshahani Theory for Quantum Groups . He also holds an MSc by Research and BSc in Joint Honours Mathematics & Physics from UCC. McCarthy’s work explores quantum symmetries, ergodic theory on quantum groups, and applications of representation theory. Recent publications include advancements in the Frucht property for quantum groups, state-space approaches to quantum permutations, and ergodic theorems for random walks on quantum structures. He has supervised research students in data science and analytics, including topics like mortality rate smoothing and sports betting clustering. Teaching interests span engineering mathematics, data science, and foundational courses for teachers. He contributes actively to mathematics education through initiatives like the Transposition Project and engages with online communities (e.g., Math.StackExchange, MathOverflow). Affiliations include the MIC-MTU-UCC Quantum Mathematics research group and participation in international workshops/conferences on quantum groups and noncommutative probability. He is a regular speaker on topics like quantum permutation groups and the philosophy of pure mathematics in applied contexts.

Daniel AlpayView profile

Professor

• Schur Analysis
• Slice-Hyperholomorphic Functions
• Signal Processing
• +23 more

Dr. Daniel Alpay is a Professor and holder of the Foster G. and Mary McGaw Professorship in Mathematical Sciences at Chapman University. He is affiliated with both Schmid College of Science and Technology and Fowler School of Engineering, contributing to mathematical research and its applications in electrical engineering. His expertise spans Schur Analysis, Slice-Hyperholomorphic Functions, Signal Processing, Linear Systems, Wavelet Filters, and White Noise Space. Dr. Alpay earned his PhD and MSc in Theoretical Mathematics from the Weizmann Institute of Science (Israel) under Prof. Harry Dym (1986, 1980-1986) and an Electrical Engineering degree from École Nationale Supérieure des Télécommunications (France, 1975-1978). His research focuses on infinite-dimensional analysis, hypercomplex structures, and interdisciplinary applications in signal processing and electrical engineering. His recent publications (2024) demonstrate a strong emphasis on Schur Analysis, hyperholomorphic functions, and their applications in stochastic processes, interpolation theory, and superoscillations. These works bridge pure mathematics with engineering, particularly in wavelet filters and linear systems. Dr. Alpay serves as Editor-in-Chief for the journal Complex Analysis and Operator Theory , reflecting his leadership in advancing mathematical research. His work continues to explore connections between abstract mathematical theories and practical engineering problems.

Matthias StaudacherView profile

Professor

• Mathematical Physics
• Quantum Field Theory
• String Theory
• +3 more

Prof. Dr. Matthias Staudacher is a Professor of Mathematical Physics at Humboldt University of Berlin, affiliated with the Institute of Mathematics and Institute of Physics within the Faculty of Mathematics and Natural Sciences. His research focuses on Quantum Field Theory, String Theory, and integrable systems, particularly the AdS/CFT correspondence. He leads the research group 'Mathematical Physics of Space, Time, and Matter' and is a Principal Investigator in the Cluster of Excellence 'Matters of Activity.' Affiliations: IRIS Adlershof, KMPB Berlin, and the SFB 647 collaborative research center. Education: Not explicitly detailed in texts, but his academic trajectory is reflected in his research leadership roles. His research explores exact solutions in gauge theories, integrability in quantum field theories, and the interplay between string theory and gravity. Recent work includes studies on supersymmetric fishnet theories, hexagon formalism in N=4 SYM, and deformations of AdS/CFT models. Prof. Staudacher has advised numerous PhD students and collaborates internationally, contributing to conferences like the 'Integrability, Dualities and Deformations' conference. His group's work is supported by grants from the DFG and the Cluster of Excellence.

Gwion EvansView profile

Lecturer

• Operator Algebras
• Topological Dynamics
• Quantum Information Theory
• +4 more

Gwion Evans is a Lecturer and Head of the Department of Mathematics at Aberystwyth University. He holds a PhD in Mathematics from Cardiff University (1998) and has conducted postdoctoral research at the University of Copenhagen and the University of Rome, Tor Vergata. His research focuses on Operator Algebras, particularly C*-algebras and their interplay with topological dynamics and quantum information. He is affiliated with the Aberystwyth Quantum Structures, Information and Control (AQStIC) group and the Welsh Society for Operator Algebras and Noncommutative Geometry (Welsh SONG). After administrative roles in Aberystwyth’s Planning Office, he transitioned to academia as a part-time lecturer, later becoming full-time in 2011. He leads the university’s Welsh medium provision in Mathematics. His grants include LMS-funded projects on operator algebras and dynamical systems (2013) and international collaboration support (2009). He advises two students: Zac Bufton (PhD) and Shubh Joshi (MPhil). Key research themes include topological invariants of C*-algebras, multi-dimensional symbolic dynamics, and inverse semigroups. His work bridges pure mathematics and quantum systems, with publications in journals like Annals of Functional Analysis and Journal of Functional Analysis .

Nicolas FrancoView profile

Lecturer

• Mathematical modeling
• Noncommutative geometry
• Quantum causality
• +4 more

Nicolas Franco is a Lecturer in Mathematics at the University of Namur (2022–present) and scientific collaborator at Hasselt University's Data Science Institute. His expertise spans mathematical modeling of COVID-19, noncommutative geometry applications in physics, and quantum computing. Previously, he held postdoctoral positions at Hasselt University (2020–2022), University of Namur (2015–2022), Jagiellonian University (2014–2015), and Copernicus Center for Interdisciplinary Studies (2012–2014). Education Doctor of Science: Lorentzian approach to noncommutative geometry (University of Namur, 2011) Master's in Mathematics (University of Namur, 2006) Bachelor of Music: Piano & Chamber Music (Royal Conservatory of Mons, 2003) Research Focus Franco's research integrates mathematical physics with practical applications. His primary domains include: Epidemiological Modeling : Long-term COVID-19 forecasting for the European CDC and Belgian government Quantum Structures : Causality in noncommutative geometries, κ-Minkowski spacetime constraints Quantum Computing : Robust quantum machine learning, qubit-efficient optimization Publication Trends Recent works demonstrate a shift toward quantum computing applications (2021–2024), focusing on optimization robustness and security in quantum neural networks. Earlier foundational contributions (2011–2017) established frameworks for Lorentzian distance formulas and causal structures in noncommutative geometry. Awards & Recognition Namur Resident of the Year - Science Category (2020) Multiple Belgian Mathematical Olympiad prizes (1996–2001) International math competition awards (FFJM) Professional Activities Member: European COVID-19 Scenario Hub (ECDC), RESTORE Consortium Consultant: Belgian federal government pandemic response Reviewer: Physical Review Letters, PLOS Computational Biology, etc.

Jose Javier Relancio MartinezView profile

Assistant Professor

• Mathematical Physics
• Quantum Gravity
• Relativity
• +3 more

Jose Javier Relancio Martinez serves as an Assistant Professor at the University of Burgos, Spain, within the School of Engineering and Department of Mathematics and Computer Science. He actively contributes to the FISMAT-UBU Mathematical Physics research group and UIC 377 research unit while participating in the university's PhD program in Industrial, Computer and Civil Engineering. His academic foundation includes: PhD in Physics from the University of Zaragoza (2020), with thesis "Beyond special relativity and the notion of spacetime" supervised by Dr. José Manuel Carmona Martínez and Dr. José Luis Cortes Azcoiti Dr. Relancio Martinez's research centers on mathematical physics with emphasis on quantum gravity phenomenology, doubly special relativity, and noncommutative geometry. He investigates geometric structures of deformed relativistic kinematics and their implications for high-energy particle physics, including neutrino propagation anomalies, photon time delays, and cosmic transparency effects. His work bridges abstract mathematical frameworks with observable astrophysical phenomena through rigorous differential geometry and quantum algebra approaches. Analysis of his 2022-2025 publications reveals a cohesive research trajectory focused on cotangent bundle formulations of doubly special relativity and relative locality principles. Key themes include momentum space curvature signatures in cosmic neutrinos, black hole surface gravity modifications, and non-local quantum field theory applications. His recent white paper on quantum gravity phenomenology roadmaps multi-messenger observational strategies, highlighting his leadership in translating theoretical constructs into testable predictions. Within the University of Burgos ecosystem, Dr. Relancio Martinez actively mentors doctoral candidates through the Industrial, Computer and Civil Engineering PhD program. His research collaborations through FISMAT-UBU and UIC 377 units facilitate interdisciplinary work connecting mathematical physics with engineering applications, particularly in geometric approaches to fundamental physics problems. He conducts research within the FISMAT-UBU Mathematical Physics group and UIC 377 research unit, which provide collaborative environments for exploring spacetime geometry foundations. These units foster integration between theoretical physics, differential geometry, and computational mathematics, with growing emphasis on quantum information applications in noncommutative spacetimes.

Jacek BrodzkiView profile

Professor

• Topological Data Analysis
• Noncommutative Geometry
• K-Theory of Operator Algebras
• +7 more

Professor Jacek Brodzki, a faculty member at the University of Southampton since at least 2002, holds the title of Professor of Pure Mathematics and serves as Head of the School of Mathematical Sciences . He co-founded and directs the Centre for Geometry, Topology, and Applications (CGTA) , while leading the Southampton node of the £10M EPSRC-sponsored "Mathematical Foundations of Intelligence: An 'Erlangen Programme' for AI . His research spans topological data analysis , noncommutative geometry , and K-theory , with applications in medicine , physics , chemistry , and computer science . His work includes theoretical advancements in CAT(0) cubical spaces and applied projects like "Joining the Dots: From Data to Insight" , which integrates TDA, machine learning, and statistics for multidisciplinary challenges. Supported by grants from the EPSRC , Leverhulme Trust , and Alan Turing Institute , his research has produced groundbreaking applications in metasurface design , asthma biomarker discovery , and neural network analysis . Recent publications highlight his expertise in topological methods for disordered materials (2023), time-series analysis (2022), and stability of Mapper-type algorithms (2020). His theoretical work on the Baum-Connes conjecture and exactness of groups continues to influence geometric group theory. Scientific awards include Fellowship at the Alan Turing Institute (2019) . He actively supervises PhD students and collaborates across disciplines, spanning mathematics , physics , and precision medicine , and participates in the U-BIOPRED consortium for asthma research.

Ulrik Bo Rufus EnstadView profile

Research Fellow

• Operator Alge
• Harmonic Analysis
• C*-algebras
• +3 more

Ulrik Bo Rufus Enstad is a Postdoctoral Fellow at the University of Oslo, Faculty of Mathematics and Natural Sciences, Department of Mathematics. He began his postdoc in August 2024, after leading a three-year researcher project with international mobility funded by the Research Council of Norway, including stays at Stockholm University and the University of Potsdam. He earned his PhD at the University of Oslo in 2020 under Professor Nadia Larsen and Professor Franz Luef. Education: PhD in Mathematics, University of Oslo (2020) His research focuses on operator algebras and harmonic analysis, particularly sampling problems approached via C*-algebras and von Neumann algebras of associated groups and groupoids. Recent work includes criteria for Gabor frames over rational lattices, density theorems for projective representations, and applications of nilpotent group algebras to projection comparison. Publications span 2019-2025, concentrating on time-frequency analysis, sampling theory, and structural properties of operator algebras. Collaborators include Jordy Timo van Velthoven, Sven Raum, Eduard Vilalta, and others. Teaching roles include MAT1120 Linear Algebra (Fall 2024), advanced functional analysis, and calculus courses since 2016. Affiliated with the Operator Algebras research group and C*-seminar at the University of Oslo.

Aurélien DeyaView profile

Research Fellow

• Stochastic Partial Differential Equations
• Fractional Processes
• Rough Paths Theory
• +4 more

Aurélien Deya is a CNRS Research Fellow affiliated with the University of Lorraine and works in the Probability and Statistics department under the Faculty of Science and Technology . His research focuses on stochastic differential equations, fractional processes, and noncommutative probability. Education: Master 2 in Mathematics (Probability and Statistics) from Henri Poincaré University of Nancy (2007). Research Interests : Deya specializes in Stochastic PDEs , Fractional Processes , and Rough Paths Theory , with significant contributions to noncommutative stochastic calculus and regularity structures. His work bridges theoretical analysis and numerical approximations for equations driven by rough noise. Key Publication Trends : Recent articles emphasize stochastic PDEs , nonlinear systems , fractional Brownian motion , and noncommutative probability , often applying regularity structures and Malliavin calculus to analyze singular equations.

Giuseppe NardelliView profile

Researcher

• Theoretical Physics
• Quantum Field Theory
• String Theory
• +3 more

Giuseppe Nardelli is a researcher affiliated with the University of Trento, focusing on theoretical physics, particularly in quantum field theory, string theory, and non-commutative geometry. His work spans diverse topics such as Yang-Mills theories in light-cone gauge, tachyon dynamics in string field theory, and Wilson loops in noncommutative spaces. His publications highlight a strong emphasis on perturbative and non-perturbative methods in quantum field theories, gauge symmetries, and the interplay between topological effects and conformal anomalies. Notable contributions include studies on tachyon non-linear beta-functions, 1+1 dimensional Yang-Mills vacua, and scaling properties of Wilson loops. The analysis of his 15 most recent articles reveals key trends in Noncommutative gauge theories String field theory applications Light-cone quantization techniques Low-dimensional field theories Conformal and topological structures Renormalization group effects .

Stefan CatoiuView profile

Associate Professor

• Noncommutative Algebra
• Real Analysis
• Geometry
• +1 more

Stefan Catoiu serves as an Associate Professor in the Department of Mathematical Sciences within DePaul University's College of Science and Health. A full-time faculty member since 1999, he holds a PhD in Mathematics from the University of Wisconsin-Madison (1997). His academic journey includes: PhD in Mathematics, University of Wisconsin-Madison (1997), advisor: Donald Passman Visiting Assistant Professor, Temple University (1997-1999) Dr. Catoiu's research is deeply rooted in pure mathematics, with primary interests in Noncommutative Algebra , Real Analysis , Geometry , and Number Theory . His noncommutative algebra work explores representation theory and quantum groups, while his analysis research focuses on generalized derivatives. In geometry, he studies convex and quantum Euclidean structures, and in number theory, he examines zeta functions and Diophantine equations. Analysis of his recent publications (2017-2022) reveals a concentration on real analysis (particularly generalized derivatives) and geometry (convex polygons and the pentagonal pizza conjecture), often in collaboration with J. M. Ash and A. Berele. His work bridges theoretical concepts with practical geometric problems. No scientific awards are documented in the provided information. The text does not specify any student advising roles or grant funding details. There is no mention of dedicated research laboratories or collaborative teams.

• Functional Analysis
• Operator Theory
• Harmonic Analysis
• +7 more

MARIA CARMEN FERNANDEZ ROSELL is a Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia. She is a member of the ESALDI research group (Spaces and Algebras of Differentiable Functions), focusing on functional analysis, operator theory, and time-frequency analysis, with significant interdisciplinary contributions in Bayesian statistics and econometrics. Her research spans Functional Analysis , Operator Theory , Harmonic Analysis , and Bayesian Modeling . She investigates ultradifferentiable functions, pseudodifferential operators, composition operators on function spaces, and time-frequency localization. Her statistical work includes Bayesian inference for fat tails, skewness, model averaging, and spatial modeling, often in collaboration with prominent statisticians like Mark F. J. Steel and Peter J. Green. The most recent publications highlight her expertise in composition operators on Gelfand-Shilov classes, spectral analysis, and characterizations of function spaces via harmonic oscillators. Her work bridges pure mathematical analysis with applied statistical modeling, particularly in econometrics and biological systems. On Bayesian modeling of fat tails and skewness (1998) Benchmark priors for Bayesian model averaging (2001) Annihilating sets for the short time Fourier transform (2010) Dynamics and spectra of composition operators on the Schwartz space (2018) She has supervised doctoral research, including Dr. Manuel Valdivia Ureña. Her work is supported by extensive collaborations, particularly with Antonio Galbis, José Bonet, and Mark F. J. Steel. She has contributed to major journals such as the Journal of Mathematical Analysis and Applications, Journal of Econometrics, and The Journal of Fourier Analysis and Applications. She is active in the research group ESALDI, which focuses on the theory of spaces and algebras of differentiable functions, exploring structural properties, duality, and applications to partial differential equations and signal analysis.

• Theoretical Physics
• Quantum Gravity
• Mathematical Physics
• +4 more

Ángel Ballesteros Castañeda is a Professor in the Department of Mathematics and Physics at the School of Sciences, University of Burgos, Spain. With a career spanning over 15 years of continuous research output, he has established himself as a prominent researcher in theoretical physics with a focus on quantum gravity, noncommutative geometry, and mathematical physics. His academic leadership is evidenced by his delivery of the inaugural lecture for the 2008-2009 academic year titled 'La física fundamental ante una revolución inacabada' (Fundamental Physics Before an Unfinished Revolution). Professor Ballesteros Castañeda's research interests span theoretical physics with specializations in quantum gravity, noncommutative spacetimes, quantum deformations, and their applications to condensed matter systems. His work bridges fundamental theoretical concepts with practical applications, particularly in the physics of graphene and other 2D materials. He has developed significant expertise in curved momentum spaces, quantum groups, and their connections to cosmological constant physics. His recent publications demonstrate a strong research trajectory with continuous output through 2024, showing particular focus on curved quantum systems, graphene physics, and mathematical structures in quantum theory. The research shows a clear progression from fundamental theoretical work to applications in nanoscale physics. Professor Ballesteros Castañeda has been actively involved in educational development at the University of Burgos, contributing to competency-based education initiatives, particularly in chemistry programs, and sustainable human development training programs. His work 'Del aprendizaje por competencias a la evaluación formativa de su adquisición: metodología y materiales' (2012) highlights his commitment to innovative educational methodologies.

Anthony LicataView profile

Professor

• Representation Theory
• Categorification
• Algebraic Geometry
• +5 more

Anthony Licata is a Professor at the Mathematical Sciences Institute (MSI) of The Australian National University. His research focuses on Representation Theory and Categorification, with expertise in Braid Groups, Homological Algebra, and their applications to algebraic geometry and quantum algebra. He holds a PhD from Yale University (2007). Research Interests : Licata explores categorical structures underlying algebraic systems, including categorified Heisenberg algebras, stability conditions in geometric contexts, and braid group actions. His work bridges representation theory, low-dimensional topology, and algebraic combinatorics. Key Projects : Stability conditions: their topology and applications (2024–2027): Investigates stability conditions in algebraic geometry and their connections to Artin-Tits groups. Groups, piecewise linear representations, and linear 2-representations (ongoing): Studies categorical representations of braid groups and their symmetries. Collaborations : Active in global networks, Licata collaborates on projects involving hypertoric geometry, Floer homology, and categorification of quantum algebras. His work appears in top journals like Advances in Mathematics and Selecta Mathematica . Advising : Supervises research students at the MSI, focusing on advanced topics in representation theory and geometric categorification. No specific student names listed in the provided data.