جست‌وجوی استاد و پژوهشگر

Matthew Holeمشاهده پروفایل

پژوهشگر ارشد

• Plasma Physics
• Fusion Energy
• Magnetohydrodynamics
• +۳ مورد دیگر

Matthew Hole is an ANU Senior Fellow at the Mathematical Sciences Institute (MSI), affiliated with the School of Computing and ANSTO. He holds a PhD in Physics from the University of Sydney and has expertise in plasma physics, fusion energy, and computational modeling. His research focuses on toroidal confinement fusion, magnetohydrodynamics (MHD), and mathematical modeling of plasma equilibria and stability. He leads the Plasma Theory and Modelling Group at ANU and co-founded the Australian ITER Forum, contributing to Australia’s involvement in the ITER project. He has attracted ~$3.3M in funding and supervised nearly 50 students. His awards include the IUPAP Young Scientist of the Year (2010) and ITER Science Fellow (2017). Education: PhD in Physics (University of Sydney, 2002), Bachelor of Engineering (Electrical, 1st Class Honours, 1997), Bachelor of Science (Physics and Pure Mathematics, 1995). Research interests include plasma centrifuge physics, stochastic systems, Bayesian inference, and magnetic diagnostics. He serves on the IAEA’s International Fusion Research Council and editorial boards of journals like Plasma Physics and Controlled Fusion . Research trends in his articles emphasize computational methods (e.g., persistent homology, physics-informed neural networks) and experimental collaborations (e.g., ISTTOK tokamak). His work addresses critical plasma physics challenges, including runaway electrons, MHD instabilities, and equilibrium modeling. Grants and projects focus on fusion energy, plasma dynamics, and interdisciplinary approaches like topological data analysis. Labs/Teams: Lead of the Plasma Theory and Modelling Group at ANU; collaborates with international institutions like the ITER Organization, KSTAR, and the H-1 heliac team. His work spans academic, industrial, and governmental partnerships.

Tuomas Orponenمشاهده پروفایل

دانشیار

• Geometric Measure Theory
• Harmonic Analysis
• Fractal Geometry
• +۴ مورد دیگر

Tuomas Orponen is an Associate Professor in the Department of Mathematics and Statistics at the University of Jyväskylä, Faculty of Mathematics and Science. His research focuses on geometric measure theory, harmonic analysis, and fractal geometry, with particular interests in incidence geometry, Fourier analysis, and metric geometry. Orponen is affiliated with the research groups for Nonlinear Partial Differential Equations and Geometric Measure Theory and Harmonic Analysis. His work explores topics such as projections of fractal sets, additive properties of fractal configurations, and geometric incidence problems. He leads projects in approximate incidence geometry, multi-scale incidence geometry, and incidences on fractals. His research trends include advancing understanding of geometric and analytic properties of fractals, exploring connections between incidence geometry and harmonic analysis, and studying the interplay between discrete and continuous geometric structures. Recent articles highlight investigations into radial projections, Kakeya-type sets, and the discretised ABC sum-product problem. Orponen has no listed scientific awards but has contributed to significant collaborative projects, including studies on Heisenberg group geometries and singular integrals. He actively publishes in top journals such as Transactions of the American Mathematical Society and Geometric and Functional Analysis. His research is anchored in two core teams: the Nonlinear PDE group and the Geometric Measure Theory team, reflecting his dual focus on analytical and geometric methodologies.

Dmitry Belyaevمشاهده پروفایل

استاد

• Probability Theory
• Mathematical Physics
• Analysis
• +۵ مورد دیگر

Dmitry Belyaev is a Professor of Mathematics at the University of Oxford and a Tutorial Fellow at St. Anne's College. His research focuses on the intersection of analysis and probability, particularly Gaussian fields, critical phenomena, and Schramm-Loewner Evolution (SLE). He has made significant contributions to understanding the geometry of random functions, including work on zeros of random plane waves and Diffusion-Limited Aggregation models. His teaching includes advanced courses such as Metric Spaces, Complex Analysis, and Continuous Martingales. Research Interests: Geometry of Gaussian fields and critical points Stochastic processes in complex systems SLE and conformal maps Random fractals and percolation theory Harmonic measure and multifractal analysis Publications highlight studies on nodal domains, excursion sets, and critical point correlations in Gaussian fields. His work often bridges probability theory with geometric analysis, addressing questions about universality, continuity, and phase transitions. Supervised students include notable researchers in stochastic processes and mathematical physics.

Balázs Kovácsمشاهده پروفایل

استاد

• Numerical Analysis
• Partial Differential Equations
• Geometric Surface Flows
• +۸ مورد دیگر

Professor Balázs Kovács is a full Professor (W3) of Mathematics and its Applications at the University of Paderborn since July 2023, where he leads research in the Numerical Analysis of Partial Differential Equations group within the Institute of Mathematics, part of the Faculty of Electrical Engineering, Computer Science and Mathematics. University of Paderborn (2023-present): Full Professor (W3) University of Regensburg (2020-2023): DFG Heisenberg Fellow Technical University of Munich (2022): Substitute Professor (W2) Eberhard Karls University of Tübingen (2015-2020): PostDoc ELTE Eötvös Loránd University (2006-2011): Bachelor and Master in Mathematics Prof. Kovács specializes in numerical analysis of algorithms for geometric surface flows and evolving surface partial differential equations, with particular expertise in mean curvature flow, Willmore flow, and inverse mean curvature flow. His research focuses on time discretization methods, numerical approaches for parabolic and wave-type problems with dynamic boundary conditions, and numerical analysis for Maxwell's equations. His work bridges theoretical mathematics with practical computational methods for solving complex geometric evolution problems. His recent publications demonstrate consistent output in top computational mathematics journals, with a focus on evolving surface PDEs, tumor growth modeling, and error analysis for numerical methods. The publications reveal a strong emphasis on theoretical numerical analysis combined with practical computational implementations. DFG Heisenberg Fellowship (2020-2026): Numerical analysis of geometric flows and evolving surface partial differential equations (Project ID: 446431602) DFG Research Training Group 2339 (2022-2023): Interfaces, Complex Structures, and Singular Limits (Project ID: 321821685) DFG Research Group 3013 (2023-2025): Vector- and Tensor-Valued Surface PDEs (Project ID: 417223351) Prof. Kovács actively contributes to academic service, having served on the Faculty Council at the University of Regensburg from 2021-2023. His teaching portfolio includes advanced courses in numerical methods for stationary equations and specialized seminars like the Coding Challenge. His research program represents a significant contribution to the field of numerical analysis for geometric evolution equations, with ongoing projects funded through prestigious German Research Foundation programs.

• Dynamical Systems
• Integrable Systems
• Mathematical Physics
• +۵ مورد دیگر

Jaume Alonso is a Postdoctoral Researcher in Mathematics at Technische Universität Berlin, affiliated with the Geometry and Mathematical Physics group led by Prof. Yuri Suris. He is also part of the SFB/TRR 109 'Discretization in Geometry and Dynamics' programme. His research focuses on dynamical systems, integrability, and discretization techniques, combining algebraic geometry, numerical experiments, and mathematical software like Mathematica. He holds a PhD from the University of Antwerp (2019), supervised by Prof. Sonja Hohloch, and has taught extensively at both TU Berlin and the University of Antwerp, including courses on Mathematical Physics and Mathematics for Physicists. Research Interests: Discretisation of integrable systems (e.g., Kahan discretisation) Birational dynamical systems and their integrability Classification of semitoric integrable systems Symplectic invariants of Lagrangian fibrations Data-driven modelling and applications in physics/chemistry/social sciences Teaching: Recent roles include lecturing Mathematical Physics III at TU Berlin and coordinating exercise sessions for Mathematics for Physicists courses. Labs/Teams: Active in the TU Berlin Geometry and Mathematical Physics group and the SFB/TRR 109 collaborative research centre. Collaborations include projects with Prof. Holger Dullin (University of Sydney) and researchers in Milano, Tokyo, and the US.

Michael Krausمشاهده پروفایل

پژوهشگر

• Numerical Methods for Fluids and Plasmas
• Structure Preserving Discretisation Methods
• Reduced Complexity Modelling
• +۵ مورد دیگر

Dr. Michael Kraus is a Research Group Leader at the Max Planck Institute for Plasma Physics in Garching, Germany, where he leads the "Geometric Numerical Integration and Reduced Complexity Modelling" group. His work focuses on developing structure-preserving discretization methods for problems in fluid dynamics and plasma physics, with recent applications in model order reduction and scientific machine learning. Dr. Kraus received his Doctor of Science (summa cum laude) from Technische Universität München in 2013, with doctoral studies in Numerical Methods in Plasma Physics. He completed a Diploma in Physics from TUM (2010) with major in Physics and minor in Scientific Computing, and earlier studied Physics at Friedrich-Schiller-Universität Jena. His research interests span Numerical Methods for Fluids and Plasmas, Structure Preserving Discretisation Methods, Reduced Complexity Modelling, Scientific Machine Learning, Geometric Mechanics and Field Theory, Symmetries and Conservation Laws, Research Software Engineering, and Scientific Computing with Julia. His work leverages geometric properties of equations to derive accurate and robust numerical schemes that better represent underlying physics while exhibiting good stability properties. Dr. Kraus's recent publications demonstrate a strong focus on geometric numerical integration techniques applied to plasma physics and fluid dynamics. His work consistently emphasizes structure-preserving methods, with particular attention to variational integrators, metriplectic systems, and applications to magnetohydrodynamics, kinetic theory, and the Vlasov-Maxwell system. His research bridges mathematical theory with practical computational implementations. Dr. Kraus has received several prestigious awards including: ANR-DFG Research Grant (2021) Research Grant from International Graduate School of Science and Engineering, TUM (2018) Marie Skłodowska-Curie Individual Fellowship (2016) Otto Hahn Medal of the Max Planck Society (2014) PhD awarded with highest distinction (summa cum laude) (2013) Dr. Kraus actively mentors graduate students, currently supervising multiple PhD candidates in Mathematics at Technische Universität München. His research is supported by significant grants including the ANR/DFG International Project "MILK: MachIne Learning for reduced Kinetic models" (since 2021) and the IGSSE International Project "GEMKIN: Geometric Methods for Kinetic Equations" (2018-2021). As lead author of various Julia packages for Geometric Numerical Integration and Reduced Complexity Modelling, Dr. Kraus maintains a strong focus on research software engineering and scientific computing. His group develops computational tools that implement the theoretical numerical methods he researches, creating a tight feedback loop between theory and practice.

• Dynamical Systems
• Integrability
• Birational Dynamics
• +۱۳ مورد دیگر

Jaume Alonso is a Postdoctoral Researcher in Mathematics at the Institute of Mathematics, Technical University of Berlin, Germany. He works under Prof. Yuri Suris in the Geometry and Mathematical Physics group and contributes to the SFB Discretisation in Geometry and Dynamics (Transregio 109) program by the German Research Foundation (DFG). His research focuses on dynamical systems and integrability, particularly birational dynamics from Kahan discretisation of integrable systems, blending dynamical systems theory, algebraic geometry, and computational experiments using Mathematica. He previously obtained his Ph.D. in Mathematics (2019) from the University of Antwerp, Belgium, under Prof. Sonja Hohloch, studying symplectic classification of semitoric systems with Holger Dullin (University of Sydney). At TU Berlin and Antwerp, he has taught exercise sessions for bachelor's and master's courses in mathematics and physics, including Mathematical Physics III (M.Sc.) and Mathematics for Physicists II (B.Sc.). Education: Ph.D. in Mathematics, University of Antwerp (2019) M.Sc. in Physics, Uppsala University (2015) Double B.Sc. in Mathematics & Physics, Autonomous University of Barcelona (2012) Erasmus Exchange Year, Georg-August-Universität Göttingen (2010-2011) His research spans discretisation of integrable systems, symplectic invariants of singular Lagrangian fibrations, geometric aspects of dynamical systems, and bifurcation of ordinary differential equations. He also explores data-driven modelling, time-series analysis, and machine learning applications in physics, chemistry, and social sciences. Professionally, he holds certificates in China competence (2025), leadership & project management (2018), and deep learning (Coursera, 2020). He is fluent in English, Dutch, and German, with advanced skills in LaTeX/Beamer and Linux systems, and basic proficiency in Python, C, CUDA, R, and TensorFlow/Keras.