جستجوی استاد راهنمای دانشگاهی

• Numerical Analysis
• Partial Differential Equations
• Finite Element Methods
• +۳ مورد دیگر

Ngoc Tien Tran is a Junior Professor for Numerical Simulation at the Institute of Mathematics, Faculty of Mathematics, Natural Sciences and Technology, University of Augsburg since 2023. Previously, he was a Research Associate at Friedrich Schiller University Jena (2021-2023) and Humboldt University of Berlin (2018-2021). Dr. Tran's educational background includes: Doctorate in Mathematics, Humboldt University of Berlin (2021) Master of Mathematics, Humboldt University of Berlin (2018) Bachelor of Mathematics, Humboldt University of Berlin (2016) Dr. Tran's research focuses on advanced numerical methods for complex mathematical problems. His primary areas of interest include numerical methods for completely non-linear second-order PDEs , the convergence behavior of adaptive methods , nonstandard discretizations and hybridizable methods , and convex minimization and eigenvalue problems . His work bridges theoretical mathematics with practical computational techniques, developing innovative approaches to solve challenging problems in numerical analysis. Dr. Tran's publication record demonstrates a consistent focus on hybrid high-order methods and their applications to various mathematical problems. His recent work shows a progression from foundational methods to specialized applications in areas like the Monge-Ampère equation, eigenvalue problems, and convex minimization. A notable trend is his emphasis on guaranteed error control and stability analysis, reflecting a commitment to robust and reliable numerical methods. Dr. Tran is involved in research supported by the ERC Consolidator Grant and participates in the GAMM Workshop on Numerical Analysis and the One World Numerical Analysis Seminar. As a Junior Professor at the University of Augsburg, Dr. Tran advises students and contributes to the Numerical Mathematics research team. His teaching includes courses such as 'Finite elements in the calculus of variations' and a 'Seminar on Numerics' for Summer semester 2025. He is part of a vibrant research community that includes colleagues like Daniel Peterseim and Tatjana Stykel, as well as numerous research associates.

Dirk Lebiedzمشاهده پروفایل

استاد

• Optimal Control
• Chemical Kinetics
• Dynamical Systems
• +۶ مورد دیگر

Prof. Dirk Lebiedz is a full professor at the Institute of Numerical Mathematics, University of Ulm, specializing in optimal control, mathematical modeling, and dynamical systems. He holds a PhD in Physical Chemistry and dual Diplom degrees in Chemistry and Mathematics from the University of Münster. His career includes habilitations in Physical Chemistry (Heidelberg), Bioinformatics (Freiburg), and Mathematics (Freiburg). He has led research groups focusing on model reduction in multi-scale systems, with applications in combustion chemistry, biological signaling, and medical treatment optimization. Education: 1998: Diplom in Chemistry (Münster) 2002: Diplom in Mathematics (Münster) 2001: PhD in Physical Chemistry (Münster) 2007: Habilitation in Physical Chemistry (Heidelberg) 2010: Habilitation in Mathematics (Freiburg) Research Interests: Prof. Lebiedz’s work spans optimal control theory, nonlinear dynamics, and computational methods for complex systems. He develops geometric and differential geometric approaches to model reduction, focusing on slow invariant manifolds in chemical and biological systems. His research also explores interdisciplinary applications in medicine, ecology, and music theory, such as mathematically modeling circadian rhythms and linking mathematical principles to philosophical and artistic concepts. Recent Work Trends: His recent publications emphasize holomorphic dynamical systems, invariant manifold analysis, and applications of differential geometry. He investigates complex-time systems and their connections to fundamental mathematical problems like the Riemann Hypothesis. His articles often bridge pure mathematics with applied fields like combustion engineering and biomedical modeling. Awards & Recognition: He has held visiting professorships at Heidelberg University and secured multiple habilitations across disciplines, reflecting his interdisciplinary impact. Labs/Teams: Leads the Institute of Numerical Mathematics at Ulm, focusing on computational methods for multi-scale systems. Collaborates with the Center for Integrative Biological Signaling Studies (Freiburg) and the SFB 1391 (Tübingen).

• Applied Mathematics
• Computational Methods
• Control Theory
• +۵ مورد دیگر

Sara Grundel is a leading researcher at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany. Her work focuses on computational methods in systems and control theory, particularly in model order reduction, gas network simulation, and optimization of energy systems. Education: Diplom in Mathematics, ETH Zurich (2005) PhD in Mathematics, Courant Institute of Mathematical Sciences, New York University (2011) Research Interests: Sara’s research encompasses mathematical control theory, stability analysis, and numerical methods for differential-algebraic equations. She applies these techniques to gas and energy networks, epidemic modeling, and multi-agent systems. Her interdisciplinary work bridges computational mathematics with real-world engineering and public health challenges. Recent Publications: Her 15 most recent articles (2024–2012) demonstrate expertise in parametrized PDEs, model reduction for coupled systems, and control strategies for SARS-CoV-2 containment. Key subtopics include adaptive meshing, stability-preserving algorithms, and optimization of nonlinear network dynamics. Scientific Contributions: Developed clustering-based model reduction techniques for networked systems Investigated hyperbolic discretization methods using Riemann invariants Advanced polynomial root radius optimization with affine constraints Collaborations: Sara frequently collaborates with researchers like Peter Benner and Martin Gersen on energy grid simulations and control theory. She participates in international conferences (GAMM, IEEE CDC, MTNS) and contributes to edited volumes in applied mathematics.

• Asymptotic Statistics
• Goodness-of-Fit Testing
• Stochastic Processes
• +۵ مورد دیگر

Bruno Ebner is a researcher at the Institute of Stochastics within the Department of Mathematics at Karlsruhe Institute of Technology (KIT). He maintains an active research program in theoretical and applied statistics, with particular expertise in goodness-of-fit testing and distribution characterizations. His office is located in Kollegiengebäude Mathematik (20.30) room 2.018, and he holds regular office hours on Tuesdays from 2 p.m. to 3 p.m. Dr. Ebner's primary research interests focus on asymptotic statistics , goodness-of-fit problems , stochastic processes , and distribution characterizations . His work prominently features Stein's method as a theoretical foundation for developing new statistical tests. He has made significant contributions to directional data analysis, particularly for hyperspherical data, and has developed novel approaches for testing uniformity on spheres. Analysis of his recent publications reveals a strong trend toward developing unified theoretical frameworks for goodness-of-fit testing across various distribution families. His work increasingly integrates computational methods with theoretical statistics, particularly through collaborations that bridge Stein's method with modern computational techniques. The development of R packages like gofIG, mnt, and gofgamma demonstrates his commitment to making theoretical advances accessible to practitioners. Dr. Ebner has developed several R packages that implement his theoretical work, including gofIG for Inverse Gaussian distribution testing, mnt for multivariate normality tests, and gofgamma for Gamma distribution testing. These packages represent significant contributions to statistical methodology with practical applications across various scientific domains. His teaching portfolio demonstrates expertise across multiple domains, including introductory stochastics for teaching candidates, generalized regression models, statistics for biology students, and specialized courses on Stein's method. He has also contributed to educational initiatives for economics students at KIT, reflecting his commitment to statistical education across disciplines.

• Nanophotonics
• Quantum Technologies
• Computational Optics
• +۵ مورد دیگر

Dr. Sven Burger is a leading Researcher at the Zuse Institute Berlin (ZIB) within the Modeling and Simulation of Complex Processes department. His work focuses on Nanophotonics , Quantum Technologies , and Optical Resonance Computation , particularly in photonic crystals, plasmonic systems, and quantum light sources. Key projects: NanoLab GRIPS 2024 , MATH+ TES QT , MATH+ PaA-1 (perovskite solar cells), Colour Impression of Solar Cells Collaborations: MATH+ , BIFOLD , Research Campus MODAL His research spans Bayesian optimization for quantum systems, quasinormal mode expansions , chiral plasmonics , and terawatt-scale photovoltaics . Recent work emphasizes RPExpand software for resonance analysis and AAA algorithm applications in photonic design. He contributes to quantum key distribution via plug&play single-photon sources, hot carrier dynamics in plasmonic nanocrystals, and high-efficiency light extraction for deep-UV LEDs. His computational methods address non-Hermitian systems , exceptional points , and self-interference nanoparticle tracking .

Massimiliano Pontilمشاهده پروفایل

استاد

• Machine Learning
• Dynamical Systems
• Optimal Transport
• +۵ مورد دیگر

Massimiliano Pontil is a Professor at University College London's Department of Computer Science within the Faculty of Mathematical & Physical Sciences, with additional affiliation at the Italian Institute of Technology in Genoa. He leads cutting-edge research at the intersection of machine learning and dynamical systems theory. His research focuses on developing theoretical frameworks for learning transfer operators of stochastic dynamical systems using kernel methods. Pontil's work provides rigorous spectral learning bounds and addresses representation learning challenges in modeling time-evolving phenomena. His research spans both theoretical foundations and practical applications in data-driven science and engineering. Pontil's recent publications reveal a strong emphasis on Koopman operator theory, with particular attention to spectral analysis, error bounds, and efficient algorithms for large-scale dynamical systems. His work connects kernel methods with dynamical systems theory to create mathematically grounded approaches for forecasting and understanding temporal phenomena. His scientific contributions include multiple publications in top-tier venues including NeurIPS and ICLR, with recent work on invariant representations, long-term forecasting, and randomized algorithms for operator regression. Pontil collaborates extensively with researchers including Vladimir Kostic, Karim Lounici, and Pietro Novelli, leading a productive research group in this specialized area of machine learning theory.

Nadine Großeمشاهده پروفایل

استاد

• Geometric Analysis
• Differential Geometry
• Spin Geometry
• +۴ مورد دیگر

Nadine Große is a Professor at the University of Freiburg's Department of Mathematics. She holds a PhD and habilitation in Mathematics from the University of Leipzig and has held academic positions including Interim Professor at TU Dresden and Associate Professor at the University of Freiburg. Her research focuses on geometric analysis, differential geometry, spin geometry, conformal geometry, and spectral theory, with emphasis on Yamabe-type problems, Dirac operators, and curvature on open manifolds. Education: Studied Mathematics and Physics at the University of Leipzig (2000–2005), earned a PhD in Mathematics (2008) with a thesis on spin conformal invariants, followed by a habilitation in 2014. She has held postdoctoral positions at the Universities of Regensburg and Leipzig. Research interests include geometric analysis, with a focus on boundary value problems, spectral theory of Dirac and Laplace operators, and applications to general relativity. Her work bridges differential geometry and functional analysis, addressing questions on manifolds with special geometric structures. Key publication trends include studies on Dirac operators, spectral geometry, and geometric PDEs, often collaborating with experts like Nelia Charalambous and Bernd Ammann. Her articles explore topics such as magnetic Dirac spectra, Yamabe equations on noncompact manifolds, and boundary value problems in bounded geometry contexts. Advising: Supervises PhD students including Marius Amann and Jonah Reuß. Former students include Ksenia Fedosova (now at Münster) and Simone Murro (now at Genoa). Active in organizing conferences like the ANGEL-Meeting (2025) and maintains a research group focused on geometric analysis and spectral theory. Labs/Teams: Leads the Differential Geometry Research Group at Freiburg, coordinating the Oberseminar Differentialgeometrie with Sebastian Goette. Her team contributes to both pure and applied aspects of geometric analysis, including teaching advanced courses on differential geometry and mathematical physics.

Henrik Schneiderمشاهده پروفایل

پژوهشگر

• Numerical Mathematics
• Finite Element Methods
• Computational Mathematics
• +۱ مورد دیگر

Henrik Schneider is a researcher at the Faculty of Mathematics, University of Duisburg-Essen, Germany, holding a Master of Science degree and actively contributing to numerical mathematics through computational method development. His educational background includes: Master of Science (M.Sc.) in a mathematical discipline Schneider's research expertise spans computational mathematics with specialized focus on: Discontinuous Petrov-Galerkin (DPG) methods for partial differential equations Numerical analysis of eigenvalue problems and linear elasticity Finite element techniques for environmental modeling Superconvergence phenomena in computational mechanics His recent publications (2023-2024) reveal a cohesive research trajectory advancing DPG theory for eigenvalue problems and elasticity while pioneering least-squares finite element applications in sea-ice motion simulation. This work bridges rigorous numerical mathematics with practical engineering and climate science challenges. No information is available regarding scientific awards, student advising, grant funding, or laboratory affiliations.

Lambert Theisenمشاهده پروفایل

پژوهشگر

• Partial Differential Equations (PDEs)
• Numerical Analysis
• Computational Fluid Dynamics
• +۵ مورد دیگر

Lambert Theisen is a PhD student and Researcher at RWTH Aachen University's Applied and Computational Mathematics (ACoM) department. He holds a BSc (2014–2018) and MSc (2018–2019) in Computational Engineering Science from RWTH Aachen. His research focuses on PDE eigenvalue problems, asymptotic analysis, directional homogenization, and numerical methods for rarefied gas dynamics. He has held research roles at RWTH Aachen, the University of Stuttgart's NMH/IANS, and ABB Corporate Research. His research spans computational fluid dynamics, domain decomposition methods, and preconditioning techniques for eigenvalue algorithms. Notable contributions include finite element solvers for electrolyte models and FEniCS-based simulations of rarefied gas flows. His work often integrates advanced mathematical frameworks with high-performance computing. Teaching roles include assistantships for courses like 'Mathematical Aspects in Computational Chemistry' and 'Higher Mathematics for Engineers.' His publications are tracked via ORCid and emphasize scalable eigensolvers, mesh generation, and tensorial methods. He maintains a personal website at thsn.dev for research updates.

Marcel Griesemerمشاهده پروفایل

استاد

• Mathematical Quantum Mechanics
• Spectral Theory
• Quantum Field Theory
• +۳ مورد دیگر

Marcel Griesemer is a Professor and Head of the Department of Analysis at the Institute for Analysis, Dynamics and Modeling, Universität Stuttgart. He serves as Dean of Studies for Mathematics (B.Sc. and M.Sc.). His research focuses on spectral and dynamical properties of quantum systems, quantum field theory, and operator theory. He has held academic positions at the University of Alabama at Birmingham (UAB) and ETH Zürich. Education: Ph.D. in Natural Sciences from ETH Zürich (1996), Diploma in Physics (1992). Professional roles include Assistant Professor (UAB, 1998–2004), Associate Professor (UAB, 2004–2005), and Professor at Universität Stuttgart (since 2005). Research Interests: Mathematical quantum mechanics, spectral analysis of many-body systems, quantum field theory, and operator theory. His work bridges rigorous mathematical analysis with quantum physics phenomena like polaron dynamics and non-relativistic QED. Teaching: Teaches advanced analysis courses (e.g., Spectral Theory, Functional Analysis), mathematical methods in quantum mechanics, and contributes to undergraduate mathematics programs for engineering and physics students. Awards: 2009 AHP Distinguished Paper Award Grants: DFG projects, NSF grants (DMS-0503432, DMS-0100160), Swiss National Science Foundation support. He advises doctoral students and collaborates on projects like Mathematische Probleme der nichtrelativistischen Quantenelektrodynamik . His lab focuses on analyzing quantum systems’ spectral and dynamical properties.

• Numerical Analysis
• Partial Differential Equations
• Finite Element Methods
• +۵ مورد دیگر

Prof. Dr. Dietmar Gallistl is a faculty member at Friedrich-Schiller-Universität Jena, holding the Professorship for Numerical Mathematics within the Faculty of Mathematics and Computer Science. His research focuses on numerical methods for partial differential equations, including mixed finite elements, multiscale methods, adaptive algorithms, and computational homogenization. He teaches courses such as Theory and Numerics of Partial Differential Equations and Iterative Solvers for Partial Differential Equations . His research interests span various areas including discretization techniques for nonlinear PDEs, error analysis, and computational methods for wave propagation. He has contributed to software tools for finite element mesh refinement and numerical simulations. Recent work includes publications on the Gross-Pitaevskii eigenvalue problem, Monge-Ampère equations, and time-harmonic Maxwell equations. Prof. Gallistl's academic work emphasizes rigorous mathematical analysis alongside practical numerical implementation. His teaching materials include lecture notes on computational PDEs and finite element methods available on his university webpage.

Daniel Peralta-Salasمشاهده پروفایل

استاد

• Dynamical Systems
• Partial Differential Equations
• Differential Geometry
• +۱۳ مورد دیگر

Daniel Peralta-Salas is a CSIC Research Professor and Chair of the Group 'Differential Geometry and Geometric Mechanics' at the Institute of Mathematical Sciences (ICMAT) in Madrid, Spain. ICMAT is a joint research institute of the Spanish National Research Council (CSIC) and several Madrid universities. He is an active researcher with leadership roles in the ICMAT board and multiple international advisory boards. PhD in Mathematics, Universidad Complutense de Madrid, 2006 His research lies at the intersection of dynamical systems , partial differential equations , and differential geometry , with applications in fluid mechanics, plasma physics, quantum mechanics, and mathematical physics. He has developed a unifying theory to study geometrically complex structures in physical models. His work includes proving long-standing conjectures by Arnold, Lord Kelvin, and Michael Berry, and constructing fluid flows that simulate universal Turing machines, thereby demonstrating undecidable dynamics in fluid particle paths. The most recent articles highlight his ongoing focus on steady Euler flows , topological obstructions in magnetic fields , optimal eigenvalue problems , and Turing universality in fluid dynamics . His publications span geometric analysis, spectral theory, and mathematical physics, often combining deep topological insight with PDE techniques. He has developed novel methods such as global approximation and inverse localization, which have broad implications across mathematical physics. His scientific awards include: ERC Starting Grant (2014–2019) Barcelona Dynamical Systems Prize (2015) Plenary Speaker, European Congress of Mathematics (2016) The Floer Lectures (2019) MINT Distinguished Lectures, Tel Aviv (2020) Plenary Speaker at major national and international mathematical societies (2021–2024) EMS Distinguished Speaker (2023) Peralta-Salas advises and collaborates extensively with researchers including Alberto Enciso, Robert Cardona, Eva Miranda, and others. His work has been supported by prestigious grants such as the ERC Starting Grant. He has published over 100 papers in top journals including Annals of Mathematics , Acta Mathematica , PNAS , and Physical Review Letters . He is a member of editorial boards for journals such as Revista Matemática Iberoamericana and Journal of Dynamics and Differential Equations , and serves on the scientific advisory board of IMTECH (UPC-Barcelona Tech). He leads the research group on Differential Geometry and Geometric Mechanics at ICMAT, which focuses on geometric structures in dynamical systems and PDEs. The group explores topics like Beltrami fields, vortex dynamics, and topological aspects of eigenfunctions. Their work is highly collaborative and interdisciplinary, bridging pure mathematics and theoretical physics.

Barbara Verfürthمشاهده پروفایل

استاد

• Numerical Methods for Partial Differential Equations
• Multiscale Finite Element Methods
• Numerical Homogenization
• +۴ مورد دیگر

Prof. Dr. Barbara Verfürth is a Professor at the Institute for Numerical Simulation (INS) at the University of Bonn since October 2022. Previously, she served as a Junior Research Group Leader and Tenure-Track Professor at Karlsruhe Institute of Technology (KIT) from 2020-2022, was a PostDoc at the University of Augsburg (2018-2020), and completed her PhD at the University of Münster (2015-2018). Her academic journey demonstrates a strong focus on numerical analysis and computational mathematics. Prof. Verfürth's research interests span several interconnected areas in computational mathematics: Numerical methods for partial differential equations Multiscale (finite element) methods (Numerical) homogenization (Time-harmonic) wave propagation: Helmholtz and Maxwell equations Nonlinear PDEs (nonlinear diffusion, nonlinear Helmholtz) Her recent publications demonstrate a consistent focus on multiscale methods for wave propagation problems, particularly in high-contrast and time-varying media. The research shows strong connections between theoretical numerical analysis and practical applications in metamaterials and wave physics. Her work bridges pure mathematical analysis with computational implementation, often developing novel algorithms for challenging multiscale problems. Prof. Verfürth leads several significant research projects: Homogenization of time-varying metamaterials (Project B4, DFG CRC 1173) Numerical methods for nonlinear, random and dynamical multiscale problems (Project 496556642, DFG Emmy Noether) Previously completed TEEMLEAP - a testbed for exploring machine learning in atmospheric prediction (KIT Future Fields) She is actively involved in academic mentoring, currently advertising for a PhD position focusing on numerical multiscale methods for linear elasticity with high-contrast coefficients. Her teaching includes courses such as "Scientific Computing I" and "Introduction to Numerical Mathematics" at the University of Bonn.

Gert Lubeمشاهده پروفایل

استاد

• Numerical Methods for Partial Differential Equations
• Computational Fluid Dynamics
• Turbulence Modeling
• +۲ مورد دیگر

Prof. Dr. Gert Lube is a faculty member at the Institute for Numerical and Applied Mathematics (NAM) within the Faculty of Mathematics and Computer Science at Georg-August-University Göttingen. His research focuses on numerical methods for partial differential equations , with emphasis on stabilized finite element methods , turbulence modeling , and magnetohydrodynamics (MHD) . Workshops Organized : Calibration of Viscosity Models for Turbulent Flows (2010), Variational Multiscale Methods (2008), Local Projection Stabilization (2008), BAIL Conferences. His academic contributions include 15+ publications since 2010 on topics like Navier-Stokes simulations , LES/VMS methods , stabilized FEM , and FEM-BEM coupling . Collaborations span institutions like TU Graz, Saarbruecken University, and DLR Göttingen. Key Research Areas : Finite Element Methods, Turbulence Modeling, MHD, Incompressible Flows, Singularly Perturbed Problems, Parallel Computing. Advisees include PhD candidates working on topics such as non-isothermal flows , mass conservation , hybrid RANS/LES , and domain decomposition .

• Partial Differential Equations
• Waves
• Dispersive PDEs
• +۷ مورد دیگر

Tomas Dohnal is a Professor at the Institute of Mathematics of Martin Luther University Halle-Wittenberg , Germany, since 2018. His research focuses on Nonlinear Partial Differential Equations (PDEs) , Dispersive Waves , Bifurcation Theory , and Wave Propagation in Periodic Structures . He has held academic positions at Technical University Dortmund, Karlsruhe Institute of Technology, ETH Zurich, and University of New Mexico. Research Interests : Nonlinear PDEs, Surface Plasmon Polaritons, Gap Solitons in Photonic Crystals, Spectral Problems, Rigorous Asymptotics, Numerical Analysis Grants : DFG grants on nonlinear wavepacket asymptotics and moving gap solitons in periodic media Students : Supervised PhD students including Maximilian Hanisch, Matthias Ionescu-Tira, and Daniel Tietz; Master students at multiple institutions Software : Co-developer of the PDE2PATH MATLAB package for bifurcation analysis Publications span topics in Maxwell equations with interfaces, PT-symmetric problems, homogenization of periodic media, and nonlinear wave dynamics. His work often bridges rigorous mathematical analysis with numerical methods. Teaching includes courses on Dispersive PDEs, Asymptotic Methods, Nonlinear Analysis, and Wave Propagation. He has taught at TU Dortmund, Karlsruhe Institute of Technology, and Martin Luther University.