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Philipp BringmannView profile

Researcher

• Numerical solution of PDEs
• Least-squares finite element method
• Adaptive mesh refinement
• +4 more

Philipp Bringmann is a Researcher at the Institute of Analysis and Scientific Computing (E 101) at TU Wien, Austria. His work focuses on numerical methods for partial differential equations (PDEs), with specializations in adaptive finite element methods (FEM), least-squares formulations, and discontinuous Petrov-Galerkin techniques. He holds a PhD in Mathematics from Humboldt-Universität zu Berlin (2020) and has held postdoctoral positions at both TU Wien and Humboldt-Universität. Research Interests : Numerical solution of PDEs Least-squares finite element methods Adaptive mesh refinement Iterative linearization techniques Applications in computational mechanics Teaching : Current: Least-Squares Finite Element Methods (Winter 2024/25) Past: Numerical methods for PDEs (Winter 2023/24) Software Contributions : octAFEM3D: 3D adaptive finite element software MooAFEM: MATLAB-based adaptive FEM toolkit Recent Talks : Presented work on adaptive FEM with inexact solvers at the Chemnitz Finite Element Symposium 2024 .

Markus AichhornView profile

Associate Professor

• Computational Material Science
• Quantum Many Body Physics
• Superconductivity
• +3 more

Markus Aichhorn is an Associate Professor at TU Graz's Institute of Theoretical Physics - Computational Physics. His research focuses on computational material science, quantum many-body physics, and topological materials. He earned his PhD in 2005 with highest honors and held postdoc positions at the University of Würzburg and École Polytechnique. Notable grants include the FWF START Program (2014). Awards include the Erwin-Schrödinger Fellowship and Promotion sub auspiciis Praesidentis. His work emphasizes ab-initio methods and DFT+DMFT techniques for correlated materials, with contributions to understanding superconductors and topological insulators. Current projects include the FWF-funded TOPOMAT and VICOM initiatives. Teaching responsibilities include courses on theoretical physics and magnetism. Education: PhD Theoretical Physics (TU Graz, 2005), Postdoc (Würzburg, 2005-2007; École Polytechnique, 2008-2010) Research Highlights: Topological states of matter, correlated heterostructures, electronic phase transitions Research output includes 65+ publications (h-index 25). Active in conference organization and peer review (e.g., Physical Review journals). Collaborates internationally on computational methods for novel materials design.

Jin-Yi CaiView profile

Professor

• Theoretical Computer Science
• Computational Complexity Theory
• Holographic Algorithms
• +3 more

Jin-Yi Cai is a distinguished Professor of Computer Science and Steenbock Professor of Mathematical Sciences at the University of Wisconsin at Madison, where he has been a faculty member since 2000. Previously, he held academic positions at State University of New York at Buffalo (Professor 1996-2000, Associate Professor 1993-1996), Princeton University (Assistant Professor 1989-1993), and Yale University (Assistant Professor 1986-1989). He has also been a Radcliffe Institute Fellow at Harvard University (2007-2008) and a Guggenheim Fellow and Visiting Professor at the University of Toronto (1999-2000). Dr. Cai earned his Ph.D. in Computer Science from Cornell University in 1986, an M.A. in Mathematics from Temple University in 1983, and a Certificate in Mathematics from Fudan University in 1981. His academic journey spans prestigious institutions across the United States and demonstrates a consistent trajectory of scholarly excellence. Professor Cai's research focuses on theoretical computer science, particularly computational complexity theory, with significant contributions to holographic algorithms, counting constraint satisfaction problems, and graph homomorphisms. His work bridges computer science and mathematics, developing sophisticated algorithms and proving fundamental complexity results. His research has evolved from foundational work in structural complexity and oracle separations to specialized work in holographic algorithms and counting problems, demonstrating both depth and breadth in theoretical computer science. His publication record shows a consistent output of high-impact research, with major contributions spanning over three decades. His work on holographic algorithms represents a particularly innovative strand of research that has opened new avenues in computational complexity. The progression of his research demonstrates increasing specialization in counting problems while maintaining connections to broader theoretical frameworks in computer science and mathematics. 2022 Simons Fellowship 2022 CCF Award for Overseas Outstanding Contribution 2022 Fellow, American Mathematical Society (AMS) 2021 Fulkerson Prize in Discrete Mathematics 2021 Gödel Prize in Theoretical Computer Science 2014 Steenbock Professorship, UW Madison 2001 ACM Fellow 1998 John Simon Guggenheim Fellowship 1994 Sloan Fellowship Professor Cai has served as Editor of the Journal of Computer and System Sciences and Associate Editor of the Journal of Computational Complexity. His work has been recognized with numerous prestigious fellowships including the Guggenheim Fellowship, Sloan Fellowship, and Humboldt Research Award. His research has had significant impact in theoretical computer science, earning him the Gödel Prize and Fulkerson Prize, two of the most prestigious awards in theoretical computer science and discrete mathematics respectively.

Alexander SchrijverView profile

Professor

• Discrete Optimization
• Combinatorics
• Optimization
• +3 more

Alexander Schrijver is a Full Professor of Mathematics at the University of Amsterdam since 1990 and a CWI-Fellow at the National Research Institute for Mathematics and Computer Science (CWI) in Amsterdam since 2005. He previously held roles such as Leader of the Scientific Cluster PNA1 at CWI and Group Leader of the Department of Combinatorial Optimization and Algorithmics. His academic career includes professorships at the University of Tilburg (1983–1989) and early research roles at CWI. He earned his Ph.D. in Mathematics from Vrije Universiteit Amsterdam in 1977 with a thesis on 'Matroids and Linking Systems.' His research focuses on discrete mathematics, optimization, and algorithms, particularly applying classical mathematical methods—such as algebra, geometry, and invariant theory—to modern problems in combinatorics and optimization. Notable contributions include algorithms for railway planning and theoretical work linking representation theory to code bounds and statistical physics partition functions. His awards include the Spinoza Prize (2005), John von Neumann Theory Prize (2006), Franz Edelman Award (2008), and SIGMA Prize (2008). He is a member of prestigious academies, including the Royal Netherlands Academy of Sciences (since 1995) and Academia Europaea (2008). His academic activities include editorships of journals like Combinatorica and Journal of Combinatorial Theory, Series B , and leadership roles in conferences such as the 5th European Congress of Mathematicians (2006). His work bridges foundational mathematics with applied optimization, impacting both theoretical and practical domains.

Alexander GlazmanView profile

Associate Professor

• Probability Theory
• Mathematical Physics
• Statistical Mechanics
• +7 more

Alexander Glazman is an Associate Professor at the University of Innsbruck , leading the FWF-funded project on Order-disorder phase transitions in 2D lattice models . His research focuses on the intersection of Probability Theory and Mathematical Physics, particularly studying phase transitions and critical phenomena in models like the Loop O(n), Six-Vertex, Ashkin-Teller, and Ising models. Education : PhD in Mathematics, University of Geneva (2016), supervised by Stanislav Smirnov. Candidate of Physico-Mathematical Sciences, St. Petersburg State University (SPbU) and PDMI (under Dmitry Karpov). Master's degree in Mathematics, St. Petersburg. Research Interests : Glazman investigates statistical mechanics models, emphasizing rigorous analysis of phase transitions, loop models, and critical phenomena. Key areas include: Loop O(n) and Six-Vertex models on hexagonal/triangular lattices. FK-percolation, Ashkin-Teller model, and their connections to random-cluster representations. Height functions, interface fluctuations, and conformal invariance. Self-avoiding walks and their universality. Recent Work Trends : His articles address interface convergence in Potts models, delocalization in Lipschitz functions, and phase diagrams of Ashkin-Teller and six-vertex models. Collaborations emphasize techniques like coupling methods, renewal theory, and Benjamini-Schramm limits. Grants & Projects : Principal Investigator (PI) of FWF Stand-Alone Grant P 34713 (€399k), studying 2D lattice models' phase transitions. Labs/Teams : Active in the Department of Mathematics at Innsbruck, contributing to probabilistic and mathematical physics research groups.

• Quantum Physics
• Quantum Computing
• Quantum Information
• +3 more

Refik Mansuroglu is a researcher affiliated with the University of Vienna. His work spans quantum computing, quantum information, and computational physics, with a focus on quantum simulation and algorithm development. University: University of Vienna Research Areas: Quantum Physics, Quantum Computing, Quantum Information Research Interests: Refik Mansuroglu specializes in quantum algorithms, Hamiltonian simulation, and quantum state optimization. His research explores classical-quantum hybrid methods, noise reduction in quantum systems, and applications of variational techniques to translational invariant and periodically driven systems. Additionally, he has contributed to foundational studies in loop quantum gravity, particularly in spin matter fields and discrete spacetime models. Article Trends: His recent work emphasizes variational algorithms for quantum simulation, error mitigation in near-term quantum devices, and classical optimization strategies for quantum circuits. Earlier publications delve into quantum gravity and photonic simulations, reflecting a multidisciplinary approach across quantum mechanics and computational physics. Advising & Collaborations: No specific students or advising roles are mentioned in the provided data.

• Applied Mathematics
• Computational Physics
• Scientific Machine Learning
• +10 more

Lukas Exl is a Senior Lecturer at the University of Vienna and a Research Director at the Wolfgang Pauli Institute (WPI), where he leads the Mathematical AI/ML Research Division. He holds a habilitation (venia docendi) in Computational Science from the University of Vienna, the first in this interdisciplinary field. Research Platform MMM Mathematics-Magnetism-Materials Wolfgang Pauli Institute (WPI), Vienna His research integrates Applied Mathematics, Computational Physics, and Scientific Machine Learning, focusing on numerical methods for PDE-based simulations, data-driven modeling, and reduced-order approaches. Key applications include computational micromagnetism for green energy materials and developing physics-informed neural networks (PINNs) with interpretable architectures. Recent publications emphasize machine learning techniques for magnetic material optimization, stray field computation, and trustworthy AI (TAI/XAI). He supervises students in Computational Science, Applied Mathematics, and Physics, with a focus on Extreme Learning Machines (ELMs), PINNs, and tensor decomposition methods. Data-driven Reduced Order Approaches for Micromagnetism (FWF Project, €484k, 2024-2028) Design of Nanocomposite Magnets by Machine Learning (FWF Project, €254k, 2022-2027) Reduced Order Approaches for Micromagnetics (FWF Project, €402k, 2018-2024) His team includes researchers like Dr. Sebastian Schaffer (PhD graduate), Kein Gjordeni, and Caroline Maitz. Collaborations span Danube University Krems and Technical University of Denmark's Energy Conversion and Storage department.

Tiziana Di MatteoView profile

Professor

• Econophysics
• Complex Systems
• Complex Networks
• +3 more

Professor Tiziana Di Matteo is the world's first Professor of Econophysics at King's College London (KCL), appointed in 2014. She is affiliated with the Department of Mathematics within the Faculty of Natural & Mathematical Sciences. Additionally, she serves as External Faculty at the Complexity Science Hub in Vienna and is a member of the UCL Centre for Blockchain Technologies. Her roles include Enterprise and Engagement Lead at KCL and Knowledge Exchange Champion for the UK Knowledge Exchange Hub for Mathematical Sciences. Di Matteo holds a BSc (Hons) in Physics (1994) and a PhD in Physics (1999) from the Università di Salerno, Italy. Her research focuses on interdisciplinary applications of physics to economics and finance, spanning: Econophysics : Analyzing financial markets using statistical physics. Complex Systems & Networks : Studying interdependencies in financial and social systems. Data Science : Developing tensor-based methods for multidimensional forecasting. Her 120+ publications predominantly explore volatility modeling, network theory, and machine learning applications in economics. Recent work emphasizes multiscaling analysis, blockchain impacts, and pandemic-related economic resilience. Scientific Awards: Elsevier’s Most Cited Article Award (2010) QEII Fellowship (2003-2008) INFM/CNR Fellowships (1994-1995) Erasmus Fellowship (1992) She leads PhD students (names unspecified) and collaborates globally. Editorial responsibilities include serving as Main Editor for Physica A and Editor for Chaos, Solitons & Fractals .

Jens Carsten JantzenView profile

Professor

• Algebraic Groups
• Lie Algebras
• Representation Theory

Jens Carsten Jantzen is a Professor of Mathematics at Aarhus Universitet , Denmark. Born in Störtewerkerkoog, Germany on October 18, 1948, he has held academic positions at prestigious institutions including the University of Oregon, Universität Hamburg, and Universität Bonn. His career spans over four decades with significant contributions to algebraic groups, Lie algebras, and representation theory. Current: Professor at Aarhus Universitet (1995–present) Previous: University of Oregon (1988–1995), Universität Hamburg (1985–1988), Universität Bonn (1978–1985) Jantzen’s research focuses on Algebraic Groups , Lie Algebras , and Representation Theory , with particular emphasis on modular representations, cohomology, and nilpotent orbits. His publications demonstrate a deep exploration of quantum groups, highest weight modules, and geometric methods in representation theory. He has served on editorial boards for leading journals such as Representation Theory and Acta mathematica . Notable awards include the Felix-Hausdorff-Gedächtnispreis (1975) , Fellow of the American Mathematical Society (2011) , and Member of the Academia Europaea (2012) .

Andreas LäuchliView profile

Professor

• Quantum Science
• Condensed Matter Physics
• Atomic, Molecular, and Optical (AMO) Physics
• +3 more

Andreas Läuchli is a Professor at the University of Innsbruck and a member of the Erwin Schrödinger Center for Quantum Science & Technology (ESQ). He currently heads the Institute of Theoretical Physics at the University of Innsbruck. His research focuses on the theoretical and computational exploration of correlated quantum matter in condensed matter and AMO systems. Key interests include novel phases of matter, quantum critical phenomena, and non-equilibrium quantum systems, leveraging concepts from condensed matter theory, statistical mechanics, quantum field theory, and quantum information science. He develops innovative computational algorithms for large-scale simulations on high-performance computers. Research Areas: Quantum Phase Transitions Quantum Criticality Many-Body Localization Tensor Network Methods Quantum Simulation Techniques Notable Contributions: His work bridges foundational quantum theory with advanced computational methods, advancing understanding of complex quantum systems. Currently leads a research group at the University of Innsbruck, contributing to Austria's quantum science initiatives through ESQ collaborations.

Markus WessView profile

Research Fellow

• Computational Mathematics
• Numerical Analysis
• Wave Propagation
• +3 more

Dr. Markus Wess is a Research Fellow (Post-Doc) at the Institute of Analysis and Scientific Computing at TU Wien (Vienna University of Technology). His research focuses on developing numerical methods for Helmholtz resonance problems in unbounded domains, particularly frequency-dependent complex-scaled infinite elements for wave propagation modeling. His core research interests include computational mathematics applied to wave phenomena, finite element methods implementation using Netgen/NGSolve, non-linear eigenvalue problems, and resonance analysis of electromagnetic waves in metamaterials. He specializes in tensor-product exterior discretizations and frequency-dependent scaling functions. Dr. Wess completed his PhD dissertation Frequency-Dependent Complex-Scaled Infinite Elements for Exterior Helmholtz Resonance Problems at TU Wien under Assoc. Prof. Lothar Nannen (2020). He holds dual backgrounds with a Master's in Technical Mathematics (TU Wien) and a Bachelor in Jazz Trumpet (Konservatorium Wien).

• Partial Differential Equations
• Mathematical Biology
• Quantum Mechanics
• +4 more

Peter Markowich is a Professor at the Department of Mathematics, Faculty of Mathematics, with a prolific research career spanning over three decades. His work bridges Partial Differential Equations (PDEs) , Mathematical Biology , and Quantum Mechanics , focusing on modeling complex systems across disciplines. Key research themes include biological network formation (e.g., blood vessel and plant vein structures), nonlinear Schrödinger equations for quantum systems, and reaction-diffusion dynamics in chemotaxis and pedestrian flow. Recent publications (2023-2025) explore self-regulated biological transportation structures, tensor PDE models, and orbital stability of standing waves in fractional quantum systems. 2025 : Condition number analysis in biological network PDEs 2024 : 1D entropy dissipation models 2023 : Gradient flows for network emergence and Hughes’ pedestrian model theory His methodological contributions include numerical schemes for multiscale problems (e.g., XFEL simulations) and analytical frameworks for existence/uniqueness in singular PDEs. Collaborations span global institutions, with co-authors like Y. Cho, C. Sparber, and H. Hajaiej.

• Operations Research
• Mathematical Optimization
• Game Theory
• +3 more

Werner Schachinger is an Associate Professor in the Department of Statistics and Operations Research at the Faculty of Business, Economics and Statistics. His research focuses on optimization theory, mathematical analysis, and game theory, with particular emphasis on completely positive matrices, quadratic optimization, and evolutionary dynamics. He has authored over 18 publications since 2007, exploring topics such as CP-rank bounds, combinatorial asymptotics, and algorithmic methods in optimization. Education background not explicitly stated but inferred through research focus and academic rank. His research interests span operations research, mathematical optimization, probability theory, and combinatorics. Notable contributions include studies on the complexity of optimization models, equilibrium analysis in game theory, and the application of copositive programming techniques. Publications highlight trends in optimization theory, with recent works addressing geometric distribution analysis (2023) and Plancherel averages (2023). Earlier contributions include work on moral play equilibrate (2021) and cp-rank lower bounds (2015–2020). No scientific awards explicitly mentioned in the texts. Advising and grants details are not provided in the text. However, activities include organizing the 2018 Workshop on Optimization, Game Theory, and Data Analysis, and contributing to talks on copositive optimization and duality in conic programming. Labs or research teams are not explicitly mentioned, though collaborations with researchers like Immanuel Bomze and Jörgen Weibull suggest active participation in interdisciplinary projects.

Peter KritzerView profile

Researcher

• High-dimensional algorithms
• Information-based complexity
• Quasi-Monte Carlo methods
• +3 more

Peter Kritzer is a Senior Scientist and Scientific Coordinator at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences in Linz, Austria. He holds a Master's degree (2003) and a Doctoral degree (2005, 'Sub Auspiciis Praesidentis') from the University of Salzburg, followed by a Habilitation in Mathematics (2012) from Johannes Kepler University Linz. His research focuses on high-dimensional algorithms, quasi-Monte Carlo methods, discrepancy theory, and information-based complexity. Affiliations: RICAM, Austrian Academy of Sciences (since 2015); previously at University of Salzburg, UNSW Australia, and Johannes Kepler University Linz. His work emphasizes numerical integration, tractability analysis, and algorithm design for high-dimensional problems. Notable contributions include advancements in lattice rules, digital nets, and hybrid function spaces. He has received awards such as the Information-Based Complexity Young Researcher Award (2011) and the Kardinal Innitzer Förderungspreis (2013). His recent articles explore topics like reduced digital nets, QMC matrix-vector products, and tractability in Hilbert spaces. He actively contributes to Monte Carlo and quasi-Monte Carlo research communities, editing volumes like Monte Carlo and Quasi-Monte Carlo Methods 2022 .

Ann-Christine DavisView profile

Professor

• Particle Cosmology
• Astrophysics
• String Theory
• +4 more

Professor Ann-Christine Davis is a faculty member at the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge since 2013, previously holding the title of Professor of Theoretical Physics there from 2002–2013. Her research focuses on Particle Cosmology, Astrophysics, and String Theory, with particular emphasis on modified gravity theories like chameleon models and scalar-tensor gravity. University Gender Equality Champion for STEMM subjects (2014–present) Professor of Mathematical Physics, DAMTP (2013–present) Professor of Theoretical Physics, DAMTP (2002–2013) Reader in Theoretical Physics, DAMTP (1996–2000) College Teaching Officer, King's College Cambridge (1988–1995) Her recent work explores modified gravity theories, including chameleon models and scalar-tensor gravity, analyzing their cosmological evolution, solar system constraints, and potential detection in laboratory experiments. She also investigates dark energy dynamics, inflationary models, and extra-dimensional theories. Key publication trends reveal a focus on dark energy interactions (6 articles), scalar-tensor theories (5 articles), and experimental verification of screened gravity (4 articles). She frequently collaborates on topics spanning cosmic microwave background anomalies, compact binary systems, and galactic dynamics under modified gravity frameworks. Professor Davis is affiliated with the High Energy Physics and Relativity & Gravitation research groups at DAMTP. She teaches principles of quantum mechanics and maintains active research in theoretical cosmology and gravity models.