Dr. Albert Much is a researcher at the Universität Leipzig affiliated with the DFG-funded priority programme "Geometry at Infinity" (SPP2026). His work focuses on causal fermion systems, fermionic entropy, and geometric analysis in Lorentzian manifolds, particularly in contexts involving black holes, Minkowski spacetime, and quantum field theory. He collaborates with Felix Finster, Robert H. Jonsson, and other physicists on projects related to self-adjointness of operators and quantum information in relativistic settings. His recent publications examine: Fermionic von Neumann and entanglement entropy in causal fermion systems Area laws in two-dimensional diamond geometries Modular-theoretic approaches to relative entropy computation He contributes to the theoretical foundations of quantum fields in globally hyperbolic spacetimes and explores connections between geometric structures and quantum information measures.
Dr. Jaume Jesús Carot Giner is a University Professor of Theoretical Physics at the University of the Balearic Islands (UIB), where he has been a faculty member since completing his PhD in Physics from the same institution in January 1987. He holds a Physics degree from the University of Barcelona (1982) and has maintained a distinguished academic career spanning over three decades. His institutional affiliations include an Honorary Research Fellow position at the University of Aberdeen, where he conducted a postdoctoral stay from 1987-1989 funded by a Fleming Scholarship from the British Council. Professor Carot has also held teaching positions at the Universidade da Madeira in Portugal and has conducted research stays across the United Kingdom, Canada, Germany, and Portugal. Professor Carot's research focuses on the theory of General Relativity, with particular emphasis on mathematical developments in differential geometry, exact solutions of Einstein's equations, relativistic magnetohydrodynamics, dark matter solutions, relativistic elasticity theory (applied to neutron star crust modeling), and gravitational radiation. His work bridges theoretical physics with mathematical rigor, contributing to our understanding of fundamental gravitational phenomena. His research output includes approximately sixty articles in indexed international journals and a similar number of book chapters and scientific publications. His recent scholarly contributions demonstrate continued engagement with cutting-edge topics in gravitational physics, including exact solutions of Einstein's equations with dark matter halos, relativistic magnetohydrodynamics in neutron star environments, and mathematical frameworks for gravitational wave emission. These publications reflect his sustained expertise across multiple subfields of theoretical gravity physics, maintaining relevance with contemporary research directions in the field. Honorary Research Fellow at the University of Aberdeen Professor Carot has supervised two doctoral theses along with numerous undergraduate and master's theses. He has participated in over twenty competitive research projects, serving as principal investigator for several. His academic leadership extends to significant administrative roles, including Director of the Master's Degree in Physics and Director of the Doctoral Program in Physics (both with quality recognition) at UIB. He has served in various vice-rector positions at UIB, including Vice-rector for Teaching and Postgraduate Studies, Vice-rector for Research and Postgraduate Studies (2013-2017), and Vice-rector for Research and Internationalization (2017-February 2019). His national and international influence includes membership in the CRUE R&D&I sectoral commission executive committee (2015), the EU's RIS3 Expert Group (February 2017-May 2019), and the CRUE working group for the 'Iberian Knowledge Agenda' (2018-2019). As an active member of the 'Física Gravitacional: Teoria i Observació (GRAVITY)' consolidated R&D group, Professor Carot continues to contribute to collaborative research efforts in gravitational physics. His current teaching responsibilities include 'Relativity and Geometry' for the Master's in Advanced Physics and Applied Mathematics, 'Mathematical Models of Physics' for the Mathematics Degree, and 'Classical Mechanics' for the Physics Degree, demonstrating his commitment to both advanced and foundational physics education.
Akishi Kato is an Associate Professor at the Graduate School of Mathematical Sciences , University of Tokyo. His research focuses on the mathematical structures underlying quantum field theories and string theories, particularly their topological, representation-theoretical, categorical, and combinatorial aspects. Current research explores quantization, renormalization, and dualities in quantum field theories. Key contributions include work on modular invariance in AdS3 string theory and D-brane actions on Kahler manifolds. Publication Trends show expertise in mathematical physics, with recurring themes of string dualities, partition functions, and geometric quantization. His work bridges theoretical physics with advanced mathematical frameworks like quiver representations and Frobenius manifolds. Teaching roles span foundational mathematics courses (Linear Algebra, Calculus) to advanced topics like Arnold's Classical Mechanics and Connes-Kreimer Mathematics. Active in committees: Educational Computer Operations, Computing Intelligence, and Academic Affairs.
Toshiyuki Kobayashi is a Professor at the Graduate School of Mathematical Sciences, The University of Tokyo. His research focuses on Lie theory , unitary representation theory , non-commutative harmonic analysis , and discontinuous groups . He has co-authored foundational works on minimal representations and symmetry breaking operators, and serves as vice director of the French-Japanese Laboratory of Mathematics and its Interactions (FJLMI). Academic service includes editor roles for Japanese Journal of Mathematics , International Mathematics Research Notices , and the Takagi Lectures series. Research Interests : Visible actions on symmetric spaces and complex manifolds Spectral analysis on non-Riemannian locally symmetric spaces Branching problems in representation theory Conformal geometry and differential operators Applications to special functions and quantum theory Scientific Contributions : Developed a framework for symmetry breaking operators in indefinite orthogonal groups Unified geometric and representation-theoretic approaches to minimal representations Provided criteria for compact quotients of homogeneous spaces Generalized Cartan decomposition via visible actions Awards : Festschrift (2025) Doctorat Honoris Causa, University of Reims (2022) AMS Fellow (2017) Humboldt Research Award (2008) Takebe Prize (1997) Students and Collaborators : Advised over 40 students including Kazuki Kannaka, Víctor Pérez-Valdés, and Koichi Tojo Collaborators include Fanny Kassel, Gen Mano, and Bent Ørsted
Wladimir Benalcazar is an Assistant Professor of Physics at Emory University since 2022. Previously, he held prestigious postdoctoral positions as a Gordon and Betty Moore Foundation Fellow at Princeton University (2021-2022) and an Eberly Fellow at Pennsylvania State University (2018-2021). He received his Ph.D. in Physics from the University of Illinois at Urbana-Champaign in 2018. Ph.D. in Physics, University of Illinois at Urbana-Champaign, 2018 Benalcazar's research focuses on collective effects in quantum matter, specifically investigating how topology, symmetries, geometry, and interactions influence topological phases in insulators, superconductors, and synthetic metamaterial platforms like photonic and acoustic crystals. His theoretical work bridges fundamental physics with experimental realizations across multiple platforms, exploring unconventional states characterized by nonreciprocal dynamics and potential applications in quantum information storage. The group collaborates extensively with experimental teams to harness unique functionalities of topological matter and realize proof-of-concept demonstrations before observation in natural systems. His publication record reveals a consistent focus on higher-order topological phases, with groundbreaking work on corner states, multipole moments, and symmetry-protected phenomena. The research spans condensed matter physics, photonics, and acoustics, demonstrating how theoretical concepts can be engineered in synthetic systems. Key contributions include the classification of topological crystalline insulators, the discovery of quantized multipole insulators, and the exploration of topological phenomena in non-Hermitian systems. Gordon and Betty Moore Foundation Postdoctoral Fellowship (2021-2022) Eberly Postdoctoral Fellowship (2018-2021) Editors' suggestion for PRB paper (2019) 50th Anniversary Milestone Paper by Phys. Rev. B (2017) Highlighted in multiple Nature journals and APS Physics commentary Benalcazar actively mentors multiple graduate students and has projects for undergraduates proficient in computational tools. His group maintains strong collaborations with experimental groups working on photonic, mechanical, and electrical platforms to explore topological analogs. Current research directions include extension to atomic-scale systems using STM, as featured in Nature Materials, and exploration of topological phenomena in non-Hermitian lattices. The group has secured funding through prestigious fellowships that support interdisciplinary research across physics and engineering disciplines. At Emory University, Benalcazar leads a research group investigating theoretical aspects of topological quantum matter, with emphasis on symmetry-protected phases and their manifestations in diverse platforms. The group develops theoretical frameworks to predict and classify topological phenomena, working closely with experimental collaborators to validate predictions in photonic, acoustic, and electronic systems. Current projects include exploration of higher-order topological knots in non-Hermitian systems and boundary-obstructed topological superconductivity.
Prof. Dr. Ralf Meyer is a Professor of Mathematics at the University of Göttingen, where he leads research and teaching in the Faculty of Mathematics. He specializes in noncommutative geometry and related fields, with a strong focus on C*-algebras, K-theory, and category theory. His academic career spans several decades with continuous contributions to mathematical research and education at Göttingen. Professor Meyer's research interests center on noncommutative geometry, a field inspired by quantum mechanics that explores generalizations of traditional geometric concepts. His work particularly focuses on K-theory , bivariant theories , cyclic cohomology , and bicategories in the context of noncommutative spaces. He has developed significant insights into bornologies in functional analysis, groupoid models, and the relationship between algebraic and topological structures in noncommutative settings. His research has important applications in mathematical physics, particularly in understanding topological phases of matter and quantum systems. Analysis of his recent publications reveals a consistent focus on deep structural questions in operator algebras and noncommutative geometry. His work bridges pure mathematics with physics applications, particularly in topological quantum phenomena. The research demonstrates increasing sophistication in handling bicategorical structures and their applications to classification problems in C*-algebras. Professor Meyer actively supervises bachelor's and master's students, with thesis topics ranging from Hochschild homology to Steinberg algebras and topological phases of matter. His teaching includes advanced courses on noncommutative geometry, category theory, and bicategories, reflecting his research expertise. He maintains an active research seminar where doctoral and master's students present their ongoing work.
Dmitriy Zanin is a Senior Lecturer in the School of Mathematics and Statistics at the University of New South Wales (UNSW), Faculty of Science. He is an active member of the Functional and Harmonic Analysis Group, which specializes in theoretical studies of functions and operators with applications spanning quantum physics and signal processing. His academic role involves research and instruction in advanced mathematical theories within a globally recognized institution. Zanin's research is deeply rooted in functional and harmonic analysis, extending into operator theory, noncommutative geometry, and mathematical physics. Key domains include: Operator algebras (von Neumann algebras, symmetric operator spaces) Noncommutative geometric structures (quantum tori, spectral invariants) Functional inequalities and embedding theorems Applications to quantum systems and signal processing frameworks His work consistently bridges abstract mathematical constructs with physical models. Analysis of Zanin's 15 most recent publications (2024–2025) reveals a strong focus on operator-theoretic frameworks in noncommutative settings. Predominant themes include: Sobolev embeddings and interpolation inequalities on quantum spaces Compactness criteria in quasi-Banach operator algebras Schatten-class commutator estimates and trace formulas Geometric invariants of deformed noncommutative manifolds This corpus demonstrates rigorous theoretical development at the intersection of functional analysis and quantum geometry.
Alexander A. Voronov is a Professor of Mathematics at the University of Minnesota, with additional affiliation as a Visiting Senior Scientist at the Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU) at the University of Tokyo. His academic career spans several decades, with significant contributions to mathematical physics, algebraic topology, algebra, and algebraic geometry. Voronov's research interests center around the intersection of mathematics and theoretical physics, particularly exploring algebraic structures in string theory, homotopy theory, and quantum field theory. His work on higher structures, operads, and homotopy algebras has been influential in connecting abstract mathematical concepts with physical theories, especially through his investigations of string topology and the algebraic structures underlying quantum field theories. His recent publications demonstrate a sustained research program focused on triality phenomena, rational homotopy theory, and the mathematical foundations of string theory and M-theory. The trend in his work shows increasing sophistication in connecting algebraic structures with geometric and physical concepts, particularly through the lens of higher category theory and homotopical algebra. Voronov has been actively involved in the mathematical community through conference organization, editorial work (including serving on the Editorial Board for Higher Structures), and participation in numerous international research programs and workshops across the globe. His collaborations span multiple continents, reflecting the international nature of modern mathematical research.
Xiaowen Zhu is an Assistant Professor at the School of Mathematics, University of Minnesota–Twin Cities. She previously held a postdoctoral position in the Department of Mathematics at the University of Washington under Alexis Drouot and earned her Ph.D. from the University of California, Irvine (UCI) in 2022 under Svetlana Jitomirskaya. Her academic journey began at Nanjing University, where she obtained her bachelor's degree under Yiqian Wang. Research Interests : Topological insulators, Spectral Theory, Ergodic Theory, Semiclassical Analysis Her recent publications focus on topological edge states, Anderson localization, and spectral properties of quantum systems with geometric or random features. Her work bridges mathematical physics with condensed matter physics, particularly in twisted bilayer graphene and low-dimensional materials.
Jens Noeckel is an Associate Professor in the Department of Physics at the University of Oregon since 2001. His research bridges quantum chaos , semiclassical physics , and microcavity optics , focusing on optical and transport properties in mesoscopic systems . He holds a PhD in Applied Physics from Yale University (1997) and previously worked at the Max Planck Institute for Physics of Complex Systems. Education: PhD (1997) in Applied Physics, Yale University Key research areas: Quantum chaos, Semiclassical methods, Microcavity lasers, Mesoscopic transport, Fano resonances, Optical billiards Recent article trends (2019-2020) reveal a focus on chaotic resonators , spin-dependent transport , terahertz plasmons , and nonlinear optical computing . Collaborative work spans topological insulators , Kerr combs , and photonic reservoir computing . His scientific contributions include foundational work in: Directional microlaser emission Wave chaos in dielectric resonators Chirality effects in optical microcavities Bound states in continuum Quantum-classical correspondence Pump-controlled laser dynamics Current projects involve chaos-assisted optical engineering and directional emission control through microcavity deformation. Experimental-theoretical collaborations explore surface plasmon propagation , optomechanical systems , and quantum transport anomalies .
Arzu Boysal is a Full Professor at Boğaziçi University, affiliated with the Department of Mathematics in Istanbul, Türkiye. Her career spans over two decades, blending teaching and research in pure mathematics, particularly representation theory and algebraic geometry. Ph.D. in Mathematics, University of North Carolina at Chapel Hill (2005) B.Sc. in Industrial Engineering, Boğaziçi University (1994) Her research focuses on the representation theory of Lie algebras and affine Lie algebras, exploring their applications in algebraic geometry, moduli spaces, and complex geometry. She investigates connections between algebraic and geometric structures, with emphasis on Lie groups and their infinite-dimensional analogs. Arzu’s publications reflect her interdisciplinary approach, ranging from theoretical studies on Verlinde spaces and fusion products to applied mathematical modeling in mechanical systems. Her work on Multiple Bernoulli series and wall-crossing formulas bridges number theory with geometric quantization. She has received institutional research funding through Boğaziçi University's BAP-5076P project (2010), titled "Duvar Atlama Metodu ile Hacim ve Boyut Hesapları," focusing on volume and dimension calculations via partitioning methods.
Mihai Badiu is a Senior Research Associate and Lecturer at the University of Oxford's Department of Engineering Science and Balliol College. His research develops probabilistic methods for information theory, wireless networks, and random graphs, with applications in IoT optimization and network compression. Badiu's work includes rate-distortion theory for Bernoulli sources, value-of-information frameworks for IoT, and stochastic geometry models for RIS-assisted networks. He focuses on fundamental limits of data representation, graph compression, and inference in communication systems. Awards include a Fulbright Fellowship and Danish Council Postdoctoral Fellowship. He teaches engineering mathematics and inference, and his Information and Network Science Lab advances network tomography and wireless protocols.
Makoto Yamashita is an Associate Professor in the Department of Mathematics at the University of Oslo, specializing in operator algebras, quantum groups, and noncommutative geometry. He holds a PhD from the University of Tokyo (2011) and has held postdoctoral positions at Cardiff University and the University of Rome Tor Vergata. His research explores quantum symmetry, categorical duality, and homological structures in operator algebras. Affiliations: Operator Algebra Group at University of Oslo Education: PhD in Mathematics (University of Tokyo, 2011) Key research interests include the interplay between K-theory, functional analysis, and categorical structures. He has received prestigious awards such as the MSJ Takebe Katahiro Prize (2016) and the Young Scientists’ Prize (2018). His work often bridges operator algebras with quantum groups, focusing on classification of quantum symmetries and deformation quantization. Recent articles span topics like homology of dynamical systems and crystallization of C*-algebras. He actively participates in international collaborations and organizes seminars on quantum groups and noncommutative geometry.
Prof. David Bommes is a Professor and Head of the Computer Graphics Group (CGG) at the University of Bern's Institute of Computer Science. He specializes in geometry processing, with a focus on hexahedral and quad mesh generation, volumetric mapping, and parametrization quantization. His work bridges theoretical computer science and practical applications in computational geometry, geology, and engineering. Research Interests: His key areas include hex meshing, frame field synthesis, topology optimization, and robust mesh construction. He explores methods to generate high-quality meshes for simulations and modeling, often addressing challenges in non-manifold structures and boundary layer representations. Recent advancements include progressive embedding for tetrahedral maps and quantization techniques for hexahedral meshes. Publications: Over 20 publications since 2004 cover topics like parametrization quantization, subdivision surfaces for geological modeling, and automatic differentiation tools. His 2023 work on expansion cones and 2022 survey on hex-mesh processing highlight his leadership in this domain. Labs/Teams: Directs the CGG, a research group advancing computational geometry and graphics. Collaborates on projects involving mesh generation, geometric algorithms, and interdisciplinary applications in geology and engineering.
Luis Diogo is an Associate Professor in mathematics at Uppsala University, specializing in symplectic geometry and topological methods. His research investigates Lagrangian submanifolds, knot contact homology, and applications of pseudoholomorphic curves to topology. He develops computational tools to solve problems in geometric analysis and mathematical physics. Recent collaborations explore monotone Lagrangians in high-dimensional spaces and novel approaches to Alexander polynomial theory. His work bridges geometric analysis with algebraic topology through rigorous proofs and category-theoretic frameworks. He mentors graduate students in geometry/physics interfaces and contributes to international symposia.
