Polyanalytic Functions Professors and Supervisors

Raffael HaggerView profile

Researcher

University of ReadingUnited Kingdom

Raffael Hagger is a researcher at the University of Reading, specializing in operator theory, functional analysis, and mathematical physics. His work focuses on Toeplitz and Hankel operators, spectral theory, and quantization in domains like Fock spaces and bounded symmetric domains. Recent Research Trends: Hagger's publications (2025–2015) span topics such as band-dominated operators on locally compact abelian groups, quantum harmonic analysis for polyanalytic Fock spaces, and spectral properties of Toeplitz operators on the unit ball and Lipschitz domains. His work also addresses compactness criteria, essential spectra, and symmetries in random hopping matrices. Collaborations: He frequently collaborates with researchers like J. Virtanen, W. Bauer, and M. Lindner.

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Joan Josep Carmona DomenechView profile

Associate Professor

Autonomous University of BarcelonaSpain

Joan Josep Carmona Domenech is an Associate Professor in the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB). He holds a Ph.D. in Mathematics from the Universitat de Barcelona (1982) and has held academic positions including Profesor Titular at UAB (1985-1992). His research focuses on complex analysis, functional analysis, and harmonic analysis with applications to signal processing. Key contributions include studies on polynomial modules, gamma functions, and geometric properties of plane curves. Research interests span rectifiable curves, polynomial approximation theories, and integral formulas. He has led or participated in multiple research projects funded by Spanish ministries, including 'Diversos aspectos de la teoría de funciones y aplicaciones' (2009-2012) and earlier projects on function theory and signal analysis. His work bridges pure mathematics with applied domains like signal digitization.

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Akaki TikaradzeView profile

Professor

University of ToledoUnited States

Professor Akaki Tikaradze is affiliated with the University of Toledo , where he serves in the College of Natural Sciences and Mathematics within the Department of Mathematics and Statistics . His research spans noncommutative algebra, operator theory, and Lie algebras, with a focus on deformation quantization, invariant theory, and functional analysis. Key research areas include: Noncommutative algebra and representation theory Operator theory on function spaces Structure of Lie algebras in positive characteristic Applications of algebraic geometry to quantization Recent publications analyze: Generalizations of classical theorems in operator theory Noncommutative Noether’s problem and its geometric implications Modular representations of Lie algebras Commutants of Toeplitz operators with harmonic/polynomial symbols No scientific awards or student advisee records are explicitly mentioned in the available data.

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Daniel AlpayView profile

Professor

Chapman UniversityUnited States

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.

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Daniele StruppaView profile

Professor

Chapman UniversityUnited States

Daniele C. Struppa is a Professor and the President of Chapman University, holding the Donald Bren Presidential Chair in Mathematics. He earned his Laurea in Mathematics from the University of Milan (1977) and a Ph.D. in Mathematics from the University of Maryland, College Park (1981). His academic leadership roles include Provost (2006), Chancellor (2007-2016), and President (2016-present) at Chapman University. Research Interests: Fourier analysis, algebraic analysis of differential equations, signal processing, pattern recognition, superoscillations, and applications in bioinformatics and proteomics of cancerous cells. Publications: Authored over 200 refereed articles and co-edited ten books, including works on bicomplex functions and hyperholomorphic calculus. Scientific Awards: Bartolozzi Prize (1981), Matsumae Medal (1987), Cozzarelli Prize (2017). Recent Work Trends: Focus on superoscillations and supershifts in mathematics and quantum mechanics, with applications in machine learning, environmental monitoring, and biomedical research. His interdisciplinary collaborations span signal processing, quantum physics, and data science. Leadership: Former Dean at George Mason University, Director at the Center for Applications of Mathematics, and Chair of Mathematical Sciences. Honors: The BIO-IT Coalition established the Professor Daniele Struppa Award (2006) for high school educators in STEM.

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Jan ZurView profile

Researcher

Technical University of Berlin (TU Berlin)Germany

Dr. Jan Zur is a Researcher at the Institute of Mathematics within Faculty II - Mathematics and Natural Sciences at Technical University of Berlin . He holds a doctoral degree in Mathematics (2022) and has been actively involved in teaching, academic advising, and research since 2011. His research focuses on Numerical Linear Algebra , Harmonic Mappings , and Polyanalytic Polynomials . He has developed computational tools like the Transport of Images Toolbox and contributed to understanding gravitational lensing phenomena through rational harmonic functions. Key academic contributions include: Published 6 peer-reviewed articles (2018-2024) on harmonic mappings and polynomial zeros Organized mathematics preparatory courses since 2016 Academic advisor for Mathematics programs (B.Sc. & M.Sc.) Module manager for first-year mentoring programs Scientific achievements: Awarded best Master's degree 2015/16 at Dies Mathematicus 2016 He teaches courses ranging from foundational Linear Algebra to advanced Numerical Linear Algebra and Matrix Functions, with extensive experience in both winter and summer semesters.

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Olivier SèteView profile

Researcher

Technical University of Berlin (TU Berlin)Germany

Olivier Sète is a postdoctoral researcher in mathematics at Universität Ulm. His work focuses on numerical mathematics, computational complex analysis, and their applications in mathematics and sciences. He has held teaching roles at institutions including TU Berlin and Universität Greifswald, covering courses such as Numerical Linear Algebra, Analysis, and Partial Differential Equations. His research interests include approximation theory, numerical methods for the Helmholtz equation, conformal mapping, potential theory, and harmonic mappings in astrophysics. Notable contributions include the AAA algorithm for rational approximation, which earned the Frontiers of Science Award in 2023. His research spans topics like lemniscatic domains, polynomial pre-images, and stochastic Galerkin methods. He has developed software tools like the Transport of Images Toolbox for computing zeros of harmonic mappings. His work bridges theoretical mathematics with computational applications, addressing challenges in complex analysis and numerical methods. Awards include the Frontiers of Science Award for his work on the AAA algorithm. He has collaborated extensively with researchers such as Yuji Nakatsukasa and Lloyd N. Trefethen. His academic background includes a PhD from TU Berlin (2016) and a Diplom from TU Berlin (2009).

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Olivier SèteView profile

Professor

Ulm UniversityGermany

Dr. Olivier Sète is a Professor in the Department of Mathematics at Ulm University, Germany, serving in the Academic Affairs Committee for Mathematics. His research focuses on numerical mathematics, complex analysis, and their applications in astrophysics and natural sciences. Key areas include approximation theory, Helmholtz equation methods, conformal mapping, potential theory, and gravitational lensing modeling. He has authored/co-authored over 25 publications since 2013, with notable contributions to rational approximation algorithms (e.g., the AAA algorithm), conformal mapping techniques, and stochastic partial differential equations. His work bridges theoretical mathematics with computational methods, addressing challenges in gravitational lensing and wave propagation. Dr. Sète collaborates with institutions globally, including co-authors like Jörg Liesen and Klaus Schiefermayr. His research has been cited extensively in numerical analysis, complex analysis, and astrophysics. He maintains an active private homepage and is affiliated with zbMATH, MathSciNet, and Google Scholar. Current projects include advancing conformal mapping for lemniscatic domains and exploring uncertainties in the Helmholtz equation's wavenumber. He advises on academic affairs and contributes to Ulm University's mathematical curriculum development.

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