جست‌وجوی استاد و پژوهشگر

• Regularity theory for elliptic and parabolic PDEs
• Maximal parabolic regularity
• Divergence form operators with mixed boundary conditions
• +۷ مورد دیگر

Robert Haller is a Professor in the Faculty of Mathematics at Darmstadt University of Technology, where he specializes in analysis with a focus on partial differential equations and operator theory. His teaching portfolio includes core courses such as Analysis I and Mathematics for Civil Engineering, with upcoming courses scheduled for Winter semester 2025/26. Professor Haller's academic journey includes a PhD thesis titled "Methoden der Banachraum-wertigen Analysis und Anwendungen auf parabolische Probleme" (2004) and a Habilitation "Lp-Regularity Theory for Linear Elliptic and Parabolic Equations" (2008), both completed at TU Darmstadt. His educational background demonstrates deep expertise in mathematical analysis and its applications to parabolic problems. His research program centers on regularity theory for elliptic and parabolic partial differential equations, with particular emphasis on maximal parabolic regularity, divergence form operators with mixed boundary conditions, and non-smooth coefficients and domains. He has made significant contributions to the Kato square root problem and related areas in harmonic analysis and operator theory. His work bridges theoretical mathematics with practical applications in physics and engineering, particularly in areas like sea ice modeling and wave propagation. Analysis of his recent publications reveals a consistent research trajectory focused on boundary value problems and operator theory in non-smooth settings. His work spans pure mathematical theory to applications in climate science, with a recurring theme of establishing regularity properties for solutions to partial differential equations under challenging conditions. Professor Haller actively contributes to the academic community through organizing the International Internet Seminar (ISem27/28) on Harmonic Analysis Techniques for Elliptic Operators, where he serves as a virtual lecturer alongside other leading mathematicians. This seminar provides a platform for master's students, PhD candidates, and post-docs to engage with cutting-edge techniques in harmonic analysis. His research collaborations include prominent mathematicians such as S. Bechtel, R.M. Brown, P. Tolksdorf, H. Meinlschmidt, and J. Rehberg, resulting in publications in prestigious journals including Journal of Evolution Equations, Advances in Mathematics, and Annales de l'Institut Fourier. These collaborations demonstrate his integration within the international mathematical community and his leadership in advancing the field of PDE analysis.

Matthias Hieberمشاهده پروفایل

استاد

• Partial Differential Equations
• Fluid Dynamics
• Evolution Equations
• +۳ مورد دیگر

Prof. Dr. Matthias Hieber is a Professor of Applied Analysis at the Department of Mathematics, Technical University of Darmstadt, and serves as Vice Director at the Mathematical Research Institute of Oberwolfach (MFO). His primary research focuses on partial differential equations, fluid dynamics, evolution equations, and harmonic analysis, with significant contributions to geophysical fluid models and liquid crystal theory. Hieber's research centers on the mathematical analysis of nonlinear PDEs arising in fluid mechanics, particularly the primitive equations for geophysical flows, Ericksen-Leslie equations for liquid crystals, and stochastic fluid models. His work establishes fundamental properties including well-posedness, regularity, and long-time behavior in diverse functional settings such as $L^p$ spaces and spaces of bounded functions. Key innovations include analyses of turbulent pressure effects, compressible liquid crystal dynamics, and hydrostatic Stokes operators. Recent publications reveal a concentrated focus on geophysical fluid dynamics and liquid crystal models, with increasing emphasis on stochastic formulations and non-isothermal effects. His work consistently bridges abstract harmonic analysis with concrete physical applications, demonstrating exceptional technical mastery in maximal regularity theory and operator calculus. Hieber's scientific recognition includes: Jean-Morlet Chair at CIRM, 2022 He leads the DFG Research Group FOR 5528 on Mathematical Investigations of Geophysical Fluid Models and has supervised Humboldt Fellows like Dr. Arnab Roy on fluid-structure interaction. His projects include the Geophysical Flows retreat in Manigod, France (2025), and the Leipzig Summer School (2024). At TU Darmstadt, Hieber heads the Applied Analysis research group, which organizes international workshops including the Oberwolfach conference on Mathematical Advances in Geophysical Fluid Dynamics (2022) and the CIRM conference on Nonlinear PDEs in Fluid Dynamics (2022).

Tim Böhnleinمشاهده پروفایل

مدرس

• Elliptic and parabolic operators in divergence form
• Harmonic Analysis
• Partial Differential Equations

Tim Böhnlein is a Lecturer at the Department of Mathematics , Technical University of Darmstadt, affiliated with the AG Analysis . His research focuses on elliptic and parabolic operators in divergence form and harmonic analysis , with particular emphasis on elliptic regularity, Gaussian estimates, and Hardy spaces on open sets. Research Interests : Elliptic/parabolic PDEs, Harmonic Analysis, Operator Theory, Regularity estimates, Hardy spaces, Spectral Theory. Scientific Awards : Lussac Saint-Émilion Wine Award for Best Talk (2016) TU Darmstadt Best Master's Thesis Prize (2023) He has taught core analysis courses including Analysis 1 , Analysis 2 , and Complex Analysis , and collaborates in the Internet Seminar (PDE 1) with Professors Robert Haller and Moritz Egert.

Robert Jerrardمشاهده پروفایل

استاد

• Nonlinear Partial Differential Equations
• Calculus of Variations
• Mathematical Physics
• +۳ مورد دیگر

Robert Jerrard is a Professor and Chair in the Department of Mathematics at the University of Toronto's Faculty of Arts and Science, where he has been a faculty member since 2002. He completed his undergraduate studies at Deep Springs College and Cornell University (A.B. Physics, 1986), and earned his PhD in Mathematics from the University of California, Berkeley in 1994. His research focuses on nonlinear partial differential equations , calculus of variations , and mathematical physics , with particular emphasis on vortex dynamics, Ginzburg-Landau theory, and geometric analysis. He investigates problems at the intersection of rigorous mathematics and physical phenomena, including superfluidity, superconductivity, and wave propagation dynamics. Analysis of his recent publications reveals consistent themes in geometric analysis and nonlinear PDEs , with significant contributions to vortex dynamics in quantum fluids, Sobolev geometries on diffeomorphism groups, and interface motion in wave equations. His work combines theoretical analysis with applications to condensed matter physics. Scientific Awards & Honors: Fellow of the Royal Society of Canada Fellow of the American Mathematical Society He has held key administrative roles including Associate Chair for Undergraduate Studies (2007-2009) and Associate Chair for Research (2014-2016). He currently supervises graduate students and teaches courses ranging from multivariable calculus to advanced topics in geometric measure theory and fluid dynamics.

• Symmetry theory in physics
• Algebraic models of physical systems
• Nuclear physics
• +۳ مورد دیگر

Professor Andrzej Góźdź is a distinguished theoretical physicist at the Department of Theoretical Physics, Institute of Physics, Faculty of Mathematics, Physics and Computer Science at Maria Curie-Skłodowska University (UMCS) in Lublin, Poland. He holds a professorship and conducts research primarily in symmetry theory in physics, algebraic models of physical systems, nuclear theory, and quantum gravity. His academic contributions span several decades with numerous publications in prestigious physics journals. Professor Góźdź's research focuses on fundamental aspects of theoretical physics, particularly symmetry theory in nuclear and quantum systems. He investigates algebraic models of physical systems, the theory of the atomic nucleus, quantum gravity, and the foundations of quantum mechanics with special emphasis on quantum time. His work often bridges mathematical physics with practical applications in nuclear structure and quantum phenomena. The professor frequently collaborates with international research groups, as evidenced by his extensive publication record with colleagues from various countries. Analysis of Professor Góźdź's recent publications (2017-2019) reveals a consistent research trajectory focused on symmetry applications in nuclear physics, quantum mechanical foundations, and computational methods. His work demonstrates a strong emphasis on group theory applications to nuclear structure, particularly exploring high-rank symmetries in nuclei. Several publications address quantum time and delayed choice phenomena, reflecting his interest in foundational quantum mechanics questions. The professor also contributes significantly to computational physics, developing symbolic-numerical algorithms for solving complex boundary-value problems in nuclear and atomic physics. h-index (Web of Science): 14 h-index (Google Scholar): 4 h-index (Scopus): 3 Total publications: 124 As an academic supervisor, Professor Góźdź maintains regular consultation hours (Mondays 10:00-12:00 and Tuesdays 8:00-9:00; 12:00-13:00) and likely mentors graduate students in theoretical physics. His research activities involve participation in national and international grants focused on theoretical nuclear physics and quantum mechanics. Professor Góźdź is part of specialized research teams at UMCS exploring symmetry applications in nuclear structure. His collaborations with researchers like A. Pędrak, A. Dobrowolski, and international colleagues (particularly from Russia and France) indicate involvement in interdisciplinary teams combining theoretical physics with computational approaches.

• Partial Differential Equations
• Fluid Dynamics
• Semiconductor Modeling
• +۳ مورد دیگر

Prof. Dr. rer. nat. Michael Dreher is a full professor at the University of Rostock , affiliated with the Faculty of Mathematics and Natural Sciences and leading the Analysis-Differential Equations Working Group . He has held visiting professorships at TU Wien, Darmstadt University of Technology, and the University of Bonn, and previously served as a Lecturer at Heriot-Watt University Edinburgh and an Associate Professor at the University of Konstanz. Current Position : Professor at University of Rostock (since 2017) Visiting Roles : TU Wien, Darmstadt University of Technology, University of Bonn Prior Roles : Lecturer at Heriot-Watt University Edinburgh (2013–2017), Associate Professor at University of Konstanz (2011), Junior Professor for Mathematical Physics at University of Konstanz (2013–2014) His research spans partial differential equations , with a focus on fluid dynamics , quantum hydrodynamics , and microlocal analysis . He has contributed to models for charge transport in semiconductors and mixed-order elliptic systems (Douglis-Nirenberg type). His work intersects mathematical physics, applied analysis, and computational mathematics. Recent publications highlight trends in viscous quantum systems , boundary layer analysis , and generalizations of hyperbolic equations , with applications to semiconductor physics and fluid dynamics. His teaching includes courses on functional analysis , partial differential equations , and mathematical foundations , with a focus on connecting theory to practical physics problems. Scientific Awards 1991 : Silver Medal at the International Mathematical Olympiad in Sweden His educational background includes a doctorate in natural sciences from TU Bergakademie Freiberg (1999), a diploma in mathematics (minor in physics) from the University of Halle-Wittenberg (1996), and postdoctoral research at the University of Tsukuba, Japan (1999–2002).

• Algebra
• Lie Algebras
• Group Theory
• +۲ مورد دیگر

Alfonso Di Bartolo is a Researcher at the Department of Mathematics and Computer Science , University of Palermo. His work focuses on algebraic structures, particularly Lie and Leibniz algebras, algebraic groups, and number theory. He holds regular office hours on Thursdays from 3:00 PM to 5:00 PM in Studio 107, Via Archirafi 34, Palermo. Role: Researcher Department: Mathematics and Computer Science Contact: alfonso.dibartolo@unipa.it Office Hours: Thursdays 3:00 PM–5:00 PM His research spans topics like solvable/nilpotent algebras, biderivations, affine mappings, and p-adic integers. Publications highlight classifications of Lie algebras, transformations groups, and applications to number theory. No scientific awards or student advisement details are provided in the text.

• Mathematical Analysis
• Partial Differential Equations
• Nonlinear Analysis
• +۳ مورد دیگر

Angela Sciammetta is a Researcher (MATH-03/A) at the Department of Mathematics and Computer Science , affiliated with the Polytechnic School of the University of Palermo . She teaches Mathematical Analysis and Mathematics modules for Mechanical Engineering and Architecture programs. Her research focuses on nonlinear partial differential equations , particularly those involving p-Laplacian operators , double-phase problems , and anisotropic nonlinearities . Key themes include existence and multiplicity of solutions under various boundary conditions (Dirichlet, Robin, Neumann), with applications to mathematical physics and continuum mechanics . Recent publications analyze anisotropic (p,q)-Laplacian problems with critical or superlinear nonlinearities, using variational methods and sub-supersolution techniques . She has shown interest in stress concentration phenomena in conductivity problems and fractional differential equations . Contact: angela.sciammetta@unipa.it | Office hours: Friday 9:00–10:00 AM via Microsoft Teams

• Mathematical analysis
• variational problems
• Hamiltonian systems
• +۱ مورد دیگر

Kazunaga Tanaka is a distinguished Professor at Waseda University's School of Fundamental Science and Engineering, Faculty of Science and Engineering. With over 25 years of service at Waseda and prior experience at Nagoya University, he has established himself as a leading authority in mathematical analysis, particularly in variational problems, Hamiltonian systems, and nonlinear elliptic equations. His research bridges theoretical mathematics with applications in quantum mechanics and dynamical systems, evidenced by his substantial citation record of 3,203 citations and h-index of 29 according to Scopus data. His educational foundation includes: Doctor of Science from Waseda University Master of Science from Waseda University Graduate studies at Waseda University Graduate School, Division of Science and Engineering Mathematics Undergraduate studies at Waseda University Faculty of Science and Engineering Mathematics Professor Tanaka's research focuses on the deep mathematical structures underlying nonlinear partial differential equations. His work particularly emphasizes variational methods for studying Hamiltonian systems, nonlinear elliptic problems, and equations with nonlocal interactions. He has made significant contributions to understanding the existence, multiplicity, and qualitative properties of solutions to nonlinear equations, including those arising in quantum mechanics such as Choquard and Schrödinger equations. His research often addresses challenging problems involving prescribed mass constraints, semi-classical limits, and concentration phenomena, developing innovative techniques when standard approaches fail. Analysis of Professor Tanaka's recent publications reveals a sustained trajectory of sophisticated mathematical investigation, evolving from classical variational problems toward increasingly complex analyses of fractional equations, logarithmic Schrödinger equations, and systems with mass constraints. A distinctive pattern in his work is the development of novel variational frameworks to address problems with nonlocal terms, where traditional methods encounter significant obstacles. His research demonstrates strong interdisciplinary connections between pure mathematical analysis and quantum physics applications, with particular emphasis on solution concentration phenomena, multiplicity results, and the behavior of solutions under prescribed constraints. As an active member of the Mathematical Society of Japan, Professor Tanaka has maintained a prolific research output throughout his career, with over 76 indexed publications. His work has been instrumental in advancing the understanding of nonlinear partial differential equations, particularly those with nonlocal interactions. Throughout his academic career, Professor Tanaka has engaged in extensive international collaboration, particularly with researchers such as Silvia Cingolani, Norihisa Ikoma, and Louis Jeanjean. His research has been supported by various grants that have enabled significant theoretical advances in nonlinear analysis. Though specific student names aren't documented in the provided information, his position as a full professor suggests substantial mentoring activity within Waseda University's mathematics programs.

• Partial Differential Equations
• Liouville type equations
• Blow-up analysis
• +۸ مورد دیگر

Daniele Bartolucci is a Full Professor in Mathematical Analysis at the Department of Mathematics, University of Rome Tor Vergata. He is actively engaged in research and teaching, with a focus on Partial Differential Equations and related mathematical fields. His academic activities span multiple institutions through the joint PhD program with Sapienza University of Rome and Roma Tre University. Professor Bartolucci's primary research interests include: Partial Differential Equations, particularly Liouville type equations Blow-up analysis and pointwise estimates for equations with singular data Self-dual vortices in Gauge theories Prescribing Gaussian curvature problem on surfaces with conical singularities Mean-field type equations and their connection to statistical mechanics Harnack-type inequalities for blow-up solutions His recent publications (2017-2019) demonstrate an active research program with numerous collaborations, particularly with A. Jevnikar, C.S. Lin, Y. Lee, W. Yang, and G. Tarantello. These works focus on advanced topics in nonlinear PDEs, including mean field equations, blow-up analysis, and geometric aspects of differential equations. The research has significant applications in mathematical physics, particularly in understanding phenomena related to cosmic strings and two-dimensional turbulence. Professor Bartolucci has received research support through the MIUR Excellence Department Project MATH@TOV and the 'Beyond Borders' project sponsored by the University of Rome Tor Vergata, which fund his collaborative research activities and specialized course offerings. As an educator, Professor Bartolucci follows a rigorous approach emphasizing understanding concepts from their causes rather than accepting them on faith. His teaching portfolio is extensive: Undergraduate courses in Mathematical Analysis for Engineering and Mathematics students since 2008 PhD courses on 'Introduction to PDE' for the joint PhD program of Rome's universities Specialized courses on 'Liouville Equations with Applications' Regular office hours in room 1107 at the Department of Mathematics His office is located in room 1107 at the Department of Mathematics, University of Rome Tor Vergata, where he maintains regular office hours for students.

• Partial Differential Equations
• Sub-Riemannian Geometry
• Hypoelliptic Operators
• +۴ مورد دیگر

Alessia Elisabetta Kogoj is an Associate Professor in the Department of Pure and Applied Sciences (DiSPeA) at the University of Urbino Carlo Bo. She teaches courses including Mathematics with Elements of Statistics, Probability and Mathematical Statistics, and Introduction to Differential Models in Applied Sciences for various degree programs such as Biological Sciences, Environmental Sustainability Geology, and Computer Science. Professor Kogoj's research focuses on qualitative properties and pointwise estimates for solutions to second order PDEs of sub-Riemannian type. Her work centers on degenerate elliptic equations with underlying Carnot-Charathéodory metric structures and evolution equations on Lie groups of Kolmogorov-Fokker-Planck type. She has made significant contributions to the understanding of hypoelliptic operators, Kolmogorov-type operators, and various boundary value problems for evolution equations. Her publication record shows consistent high-quality output in prestigious mathematics journals. The trends in her research demonstrate a deepening exploration of hypoelliptic operators, particularly Kolmogorov-type operators and their properties. Her work spans theoretical foundations including Harnack inequalities, Liouville-type theorems, rigidity results, and boundary value problems for various classes of degenerate PDEs. Professor Kogoj is actively involved in the mathematical community, organizing and participating in numerous conferences and workshops including the Urbino PDEs afternoons and the 3 days on Evolution PDEs workshop-school. She has presented her research at international venues across Europe, Asia, and the Americas, demonstrating the global recognition of her work in partial differential equations.

Oleg Davydovمشاهده پروفایل

استاد

• Meshless Finite Difference Method
• Finite Element Method
• Scattered Data Fitting
• +۴ مورد دیگر

Professor Oleg Davydov holds a Professorship for Numerical Analysis at the Department of Mathematics, University of Giessen, Germany. His research focuses on developing advanced numerical methods with strong theoretical foundations and practical applications. He maintains an active research program with numerous recent publications and international collaborations. Position: Professor of Numerical Analysis Institution: University of Giessen, Department of Mathematics Contact: Heinrich-Buff-Ring 44, 35392 Giessen, HRZ Room 117 Email: oleg.davydov@math.uni-giessen.de Homepage: https://oleg-davydov.de/ Professor Davydov's research interests center around meshless numerical methods, approximation theory, and computational mathematics. His primary focus areas include: Meshless Finite Difference Method - Developing robust meshless techniques that avoid the need for structured grids Finite Element Method - Particularly Bernstein-Bézier finite elements and specialized approaches for complex geometries Scattered Data Fitting - Creating efficient algorithms for approximating data on irregular domains Approximation Theory - Investigating theoretical properties of splines, radial basis functions, and other approximation tools His research has resulted in several software packages including mFDlab (Meshless Finite Difference Method), BBFEM (Bernstein-Bézier Finite Elements), and TSFIT (Two-Stage Scattered Data Fitting), demonstrating the practical implementation of his theoretical work. Analysis of Professor Davydov's recent publications shows a consistent focus on improving meshless methods, particularly in stencil selection, error analysis, and applications to complex problems. His work spans both theoretical developments (like error bounds and optimal approximation orders) and practical implementations (for fluid dynamics, manifold learning, and interface problems). A notable trend is the increasing sophistication of adaptive techniques and the handling of challenging geometries. Professor Davydov has supervised several doctoral students to completion, including: Gaelle Andriamaro Fabien Rabarison Abid Saeed Wee Ping Yeo His research group appears to maintain active collaborations with institutions worldwide, as evidenced by his extensive co-authorship network. The group focuses on developing both theoretical foundations and practical implementations of numerical methods, with particular attention to problems involving irregular domains, singularities, and complex geometries. Students in his group would gain experience in both theoretical analysis and software development for numerical methods.

Tales de Vargas Lisboaمشاهده پروفایل

پژوهشگر

• Composite Structures
• Numerical Modeling
• Lightweight Design
• +۳ مورد دیگر

Tales de Vargas Lisboa serves as a Researcher in the Tailored Lightweight Composites Department within the Polymer Materials Engineering Division at Leibniz Institute of Polymer Research Dresden. His work focuses on advanced computational methods for composite material design and analysis. His research spans Numerical and analytical modeling of composite structures Design optimization of Tailored Fiber Placement (TFP) components Nonlinear bending analysis of anisotropic plates Filament winding pattern generation with particular expertise in decomposition methods for solving complex structural mechanics problems. His publication record shows consistent contributions to mechanical engineering journals between 2017-2020, primarily addressing computational challenges in composite material behavior under various loading conditions. Key projects include International ZIM 'AniDo' and DAAD 'PROBRAL' collaborations. Led by Prof. Dr.-Ing. Axel Spickenheuer, the Tailored Lightweight Composites Department develops material-specific adaptations for continuous fiber-reinforced composites in extreme lightweight applications, with Lisboa contributing specialized computational expertise to the Advanced Composite Modeling research group. His technical capabilities bridge theoretical modeling and practical engineering applications, particularly in optimizing fiber paths and structural responses for high-performance composite components.

• Optimal Control
• Partial Differential Equations
• Optimization
• +۵ مورد دیگر

Hannes Meinlschmidt is an Assistant Professor and Senior Scientist at the Chair for Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt Professorship) at Friedrich-Alexander University Erlangen-Nuremberg (FAU) since March 2021. He previously held a PostDoc position at the Radon Institute for Computational and Applied Mathematics (RICAM) in Linz, Austria, from September 2017. He obtained his Diploma (2011) and PhD (2017) in Mathematics from TU Darmstadt, supervised by Stefan Ulbrich. His research intersects optimal control, optimization, and PDE analysis with emphasis on: Regularity theory for elliptic/parabolic equations Control of nonlinear PDE systems Applications with nonsmooth data Variational methods for dynamic models His publications demonstrate expertise in mathematical analysis of physical systems, including semiconductor equations, thermistor control, and biological models. Work frequently addresses mixed boundary conditions, nonsmooth domains, and Hölder regularity. Teaching includes advanced mathematics courses such as: Optimization with PDEs Interpolation theory Partielle Differentialgleichungen I/II He leads research at the FAU DCN-AvH chair, contributing to PDE numerics and control theory.

Vincent Guedjمشاهده پروفایل

استاد

• Complex Geometry
• Partial Differential Equations
• Geometric Analysis
• +۴ مورد دیگر

Vincent Guedj is a Professor at Paul Sabatier University (University of Toulouse) and Senior Member of the Institut Universitaire de France (IUF). His affiliations include directorship of the Toulouse Institute of Mathematics (2017-2020), leadership of the European Several Complex Variables Consortium, and editorial roles for prominent journals including Annales de l'Institut Fourier and Publicacions Matemàtiques . His research centers on complex geometry and geometric analysis, with emphasis on: Canonical Hermitian metrics (Kähler-Einstein, plurisigned) Degenerate complex Monge-Ampère equations Kähler-Ricci flows and parabolic pluripotential theory Variational methods in singular geometric settings This work bridges complex analysis, PDE theory, and differential geometry. His recent publications (2021-2025) demonstrate strong focus on: Regularity theory for Monge-Ampère equations on Hermitian manifolds Geometric flows with singularities Pluripotential techniques for Kähler-Einstein metrics Applications to affine and Hessian geometry Major scientific awards: Clay Senior Scholar (2024) Grand Prix Charles Defforey (2024) Prix Leconte, Académie des Sciences (2020) EMS Monograph Award (2016) He actively advises doctoral students (9 completed, 1 ongoing) and secures substantial funding, including: KRIS project (360k€, Fondation Defforey, 2024-2029) PARAPLUI (ANR 140k€, 2021-2025) HERMETIC (LabeX CIMI 20k€, 2021-2024) He directs research at Institut de Mathématiques de Toulouse, coordinating international collaborations and conferences like AMAZER (2021) and KAWA workshops.