جست‌وجوی استاد و پژوهشگر

Florian Hanischمشاهده پروفایل

پژوهشگر

• Differential Geometry
• Supergeometry
• Infinite-Dimensional Geometry
• +۳ مورد دیگر

Dr. Florian Hanisch is a researcher affiliated with the University of Potsdam, specializing in differential geometry and mathematical physics. His work spans supergeometry, infinite-dimensional geometry, geometric analysis, and hyperbolic PDE. Research Focus: Supergeometry, loop spaces, supersymmetric path integrals, and spectral theory. Email: florian.hanisch@uni-potsdam.de His recent publications (2022) address the fermionic integral on loop spaces, rigorous supersymmetric path integral constructions, and relative trace formulas in obstacle scattering. Earlier works include studies on magnetic geodesics, supergeometry in quantum field theory, and spectral actions with torsion. Collaborators include Matthias Ludewig, Alexander Strohmaier, Alden Waters, Thomas Hack, and Alexander Schenkel. He applies techniques from non-commutative geometry and enriched category theory to quantum field theory problems, particularly focusing on supersymmetry and geometric structures in infinite dimensions. His research has implications for the Atiyah-Singer index theorem and the Standard Model of particle physics.

Rémi Coulonمشاهده پروفایل

پژوهشگر

• Geometric group theory
• Small cancellation theory
• Monster groups
• +۴ مورد دیگر

Rémi Coulon is a CNRS Researcher at the Department of Mathematics, Université de Bourgogne, Dijon, France. He is affiliated with the Geometry, Algebra, Dynamics and Topology team at the Institute of Mathematics of Bourgogne (IMB). His work bridges pure mathematics and visual outreach through projects in geometric group theory, high-dimensional geometry, and virtual reality simulations of Thurston's geometries. Education Habilitation à diriger des recherches (2021), Université de Rennes 1 PhD in Mathematics (2010), Université de Strasbourg Master in Mathematics (2007), Université de Paris-Sud Cycle Ingénieur (2003–2006), École Polytechnique Research interests include geometric group theory, small cancellation theory, monster groups, and dynamical systems. He explores the geometric properties of non-Euclidean spaces like Nil and Sol, and investigates phenomena in high-dimensional geometry, such as the paradox of spheres in arbitrary dimensions. Virtual reality projects include rendering Thurston's eight 3D geometries (Euclidean, Spherical, Hyperbolic, S²×E, H²×E, Nil, Sol, and SL(2,ℝ)̃), with applications to mathematical visualization and educational outreach. His 2020 award-winning work Hyperbolic Blue highlights his artistic contributions to mathematical illustration. Scientific awards Grand Prix du jury, La preuve par l’image (CNRS-Acfas competition) Collaborations include 3D modeling projects with Elena Willis during her internship and contributions to educational material for complex dynamics (Julia sets) and Penrose tilings.

Michele Triestinoمشاهده پروفایل

مدرس

• Group Actions on Manifolds
• Dynamical Group Theory
• Foliation Theory
• +۶ مورد دیگر

Michele Triestino is a Lecturer (maître de conférence) at the University of Burgundy since September 2016, affiliated with the Institut de Mathématiques de Bourgogne (IMB - UMR CNRS 5584). He is a member of the Geometry, Algebra, Dynamics and Topology research team and a junior fellow of the prestigious Institut Universitaire de France. Starting September 1, 2025, he will transition to a professor position at the Institut de Mathématiques de Marseille (I2M). Dr. Triestino's research focuses on group actions on low-dimensional manifolds , with problems originating from foliation theory and group theory. He characterizes his work as Dynamical Group Theory , investigating how algebraic structures interact with dynamical systems. His research spans multiple areas including one-dimensional dynamics, actions of fundamental groups of manifolds, piecewise linear homeomorphisms, and the relationship between geometric group theory and dynamical systems. He has made significant contributions to understanding the rigidity and flexibility of group actions on circles and intervals, as well as connections to Anosov flows in three-dimensional manifolds. His work has been supported by several major research projects including the ANR project Gromeov (2019-2023), the Regional project ANER AGROUPES (2022-2023), the MATH AMSUD project DGT - Dynamical Group Theory (2022-2025), the Graduate School EIPHI project TACTICQ (2024-2025), the ECOS-Sud project Small spaces under action (2024-2030), and the ANR project AnoDyn (2024-2025). Scientific Awards: Junior fellow of the Institut Universitaire de France Dr. Triestino has been actively involved in the mathematical community as an organizer of workshops and schools, including the "School on Dynamical Group Theory" in Dijon (2022) and the "Groups acting on manifolds" workshop for young researchers in Teresópolis (2016). He has collaborated with numerous researchers across France, South America, and Asia on projects related to group actions and dynamical systems. His research has resulted in numerous publications in prestigious mathematical journals, with a particular focus on understanding the interplay between algebraic properties of groups and their dynamical behavior on manifolds. He is part of the research consortium studying group actions on manifolds, which brings together experts from the Institut de Mathématiques de Bourgogne and the Institut de Recherche Mathématique de Rennes. This project focuses on advancing understanding in one-dimensional and two-dimensional group actions, with connections to topology, geometry, and theoretical physics.

Chunmei Wangمشاهده پروفایل

استادیار مدعو

• Numerical Analysis
• Scientific Computing
• Computational Mathematics
• +۳ مورد دیگر

Chunmei Wang serves as an Affiliate Assistant Professor in the Department of Mathematics & Statistics at Texas Tech University. Her appointment is part-time through the STEM CORE program, which focuses on interdisciplinary STEM education and outreach initiatives across undergraduate, faculty, and community domains. Her research specializes in numerical methods and scientific computing for partial differential equations governing scientific and engineering phenomena. She has developed novel finite element methods with rigorous convergence analysis across seven key problem domains: linear hyperbolic equations, elliptic Cauchy problems, nondivergence-form elliptic equations, Maxwell's equations, linear elasticity with interface problems, div-curl systems, and biharmonic equations. This work bridges theoretical computational mathematics with practical applications in fluid dynamics, electromagnetics, and solid mechanics. Through STEM CORE, Wang contributes to systemic STEM advancement via the President's STEM Mentoring Academy, Discipline-based Education Research community, K-12 outreach programs including Traveling Labs and Tech Savvy Family Nights, and community college partnerships like BAT-LSAMP. The program's infrastructure supports undergraduate research positions, virtual lab resources, and grant development assistance for faculty.

• Partial Differential Equations
• Mathematical Analysis
• Critical Nonlinearity
• +۴ مورد دیگر

Giovanni Girardi is a Researcher in the Department of Industrial Engineering and Mathematical Sciences at Marche Polytechnic University (UNIVPM) , Italy. His work spans mathematical analysis , partial differential equations , and applied mathematics , focusing on problems involving critical nonlinearity , fractional calculus , and non-local modeling . Contact Information: Email: g.girardi@staff.univpm.it Research Areas: Girardi investigates evolution equations with critical nonlinearities, time-dependent damping mechanisms, and fractional diffusion models. His work extends to environmental applications like plant water deficit modeling through Richards' equation and soil hydrology. Publication Trends: Over the past six years, Girardi's research has focused on fractional and hyperbolic PDEs, critical exponents, and damping effects in wave equations. His 2025 papers emphasize lifespan estimates and well-posedness, while 2024 studies highlight non-local hydrological models. Applications range from theoretical mathematics to environmental engineering.

Maksim Kitsakمشاهده پروفایل

دانشیار

• Network Science
• Complex Networks
• Hyperbolic Geometry
• +۶ مورد دیگر

Maksim Kitsak is an Associate Professor (tenured) at the Faculty of Electrical Engineering, Mathematics and Computer Science at Delft University of Technology. He serves as the M.Sc. Program Coordinator for the Wireless Communication and Sensing track and is an Editorial Board Member for Nature Scientific Reports and IEEE Transactions on Network Science and Engineering. He also co-chairs the Dutch Network Science Society. Dr. Kitsak earned his Ph.D. in Physics from Boston University in 2009, advised by Prof. H.E. Stanley and Prof. S. Havlin. His academic career includes positions at Northeastern University, Dana-Farber Cancer Institute, and University of California San Diego before joining Delft University of Technology in March 2020 as a tenure-track Assistant Professor, achieving tenure in May 2022. His research spans network science with expertise in complex networks, hyperbolic geometry, epidemic spreading, and network resilience. He has pioneered work on using latent geometric spaces to understand network structure and function, with applications in communication networks, pandemic forecasting, and molecular biology. His influential 2010 Nature Physics paper on identifying influential spreaders in networks challenged conventional wisdom and spurred significant follow-up research. His publication record shows a strong trajectory with recent work focusing on hyperbolic geometry applications across multiple dimensions, network resilience in transportation systems, and epidemic modeling. His research has appeared in high-impact journals including Nature Communications, Nature Scientific Reports, and Physical Review journals, demonstrating both theoretical depth and practical applications. NWO VICI research grant for studying shortest paths in large incomplete networks Dutch Research Council (NWO) funding for "Mathematical Description and Inference of Complementarity Mechanisms in Complex Networks" Seed funding from TU Delft Safety and Security Institute for privacy and security theory Dr. Kitsak actively mentors students including Ph.D. candidates Roberto Gheda (Federated Learning, AI, and Privacy), Yongdin Tian (decentralized Machine Learning), and Elizaveta Evmenova (complementarity principles in networks), as well as M.Sc. students. His research group at Delft University of Technology focuses on advancing network science theory while applying insights to real-world problems in communication networks, network medicine, and pandemic response, with two current postdoctoral openings funded by the NWO VICI grant.

Pim van der Hoornمشاهده پروفایل

استادیار

• Network Science
• Probability Theory
• Random Graphs
• +۵ مورد دیگر

Pim van der Hoorn is an Assistant Professor in Probability at the Department of Mathematics and Computer Science at Eindhoven University of Technology. He is also a member of the Eindhoven Young Academy of Engineers and serves as a board member of the Dutch Network Science Society. His primary research affiliation is with the Institute for Complex Molecular Systems (ICMS), where he is part of the ICMS Core research group. Dr. van der Hoorn's research focuses on developing mathematical foundations of network science using probability theory, statistics, random graphs and graph limits. His work centers around two main pillars: the design of mathematical frameworks for statistical analysis of networks and understanding emerging geometry in networks. He also applies network science to solve problems in computational biology and materials science, particularly in studying cell-cell interactions in cancer and molecular charge transport in organic semiconductors. His recent publications demonstrate a strong trend toward unifying theoretical frameworks for network analysis while simultaneously applying these frameworks to solve complex problems across disciplines. His work bridges pure mathematical theory with practical applications, showing how network science can provide insights into diverse fields from cancer biology to materials engineering. Dr. van der Hoorn is actively involved in teaching with courses including Extreme values and other catastrophes, Network Statistics for Data Science, and Measure, Integration and Probability Theory. His educational activities reflect his research interests, providing students with both theoretical foundations and practical applications of probability and network science. He collaborates extensively across disciplinary boundaries, working with researchers in computational biology, cancer research, and materials science. His research has received support from organizations including the Netherlands Organization for Scientific Research (NWO) and the Immunoengineering Program of the Institute for Complex Molecular System.

Martin Bridsonمشاهده پروفایل

استاد

• Geometric Group Theory
• Geometry of Non-Positively Curved Spaces
• Low-Dimensional Topology

Professor Martin Bridson is the President of the Clay Mathematics Institute and holds the Whitehead Professorship of Pure Mathematics at the University of Oxford's Mathematical Institute. His research spans geometric group theory, non-positively curved spaces, and low-dimensional topology, with significant contributions to understanding group presentations, profinite completions, and hyperbolic geometry. Key Affiliations: Clay Mathematics Institute (President) University of Oxford (Whitehead Professor of Pure Mathematics) Research Interests: Geometric Group Theory Geometry of Non-Positively Curved Spaces Low-Dimensional Topology Profinite Group Theory Isoperimetric Inequalities Fixed-Point Properties Scientific Awards: 2020 Steele Prize for Mathematical Exposition (with André Haefliger) Fellow of the Royal Society (2016) Fellow of the American Mathematical Society (2015) London Mathematical Society Whitehead Prize (1999)

Qian Wangمشاهده پروفایل

استاد

• Partial Differential Equations
• Nonlinear Wave Equations
• General Relativity
• +۲ مورد دیگر

Qian Wang is Professor of Mathematics at the Mathematical Institute, University of Oxford, affiliated with the Oxford Centre for Nonlinear PDE. His research focuses on nonlinear partial differential equations, particularly in contexts of general relativity and fluid dynamics. He investigates global solutions to complex physical models including Einstein's field equations, wave propagation phenomena, and compressible fluid systems. Research Focus: Professor Wang specializes in: Mathematical relativity (e.g., Einstein vacuum equations, spacetime geometry) Nonlinear wave equations and hyperbolic systems Fluid dynamics (Euler equations, compressible flows) Global existence and stability problems His work combines geometric analysis with PDE theory to address fundamental questions in mathematical physics. Publication Trends: Recent works (2014-2024) demonstrate progression from foundational relativity studies toward complex fluid dynamics and nonlinear field equations. Key themes include: Well-posedness for rough initial data Global solution behavior in relativistic and fluid systems Innovative geometric approaches to PDE analysis

• Mathematical Logic
• Topology
• Set Theory
• +۳ مورد دیگر

Dr. Robin Knight serves as Affiliate Faculty at the Mathematical Institute of the University of Oxford, with office contact details including phone (+44 1865 615135) and location at the Andrew Wiles Building, Radcliffe Observatory Quarter, Oxford OX2 6GG. His research spans Mathematical Logic and Topology, specializing in scattered spaces, flat morasses, continuous functions on compact spaces, and nonhyperbolic dynamical systems. Knight's work integrates combinatorial set theory with topological structures, exploring connections between model theory, descriptive set theory, and geometric group theory through rigorous mathematical frameworks. Publications from 2003-2007 reveal consistent focus on foundational topological phenomena, with co-authored works examining invariant sets and free subgroups. His research demonstrates methodological coherence in applying logical structures to solve complex topological problems, particularly in characterizing space properties and subgroup ubiquity. No scientific awards were documented in the source material. Information regarding student advisement, research grants, laboratory affiliations, or collaborative teams was not provided in the available profile.

• Topology
• Differential Geometry
• Teichmüller Theory
• +۳ مورد دیگر

Professor Vladimir Markovic serves as a Professor of Mathematics at the University of Oxford's Mathematical Institute and holds the prestigious title of Fellow of the Royal Society (FRS). His academic work centers on foundational questions in topology and geometry, with significant contributions to the mathematical landscape through rigorous theoretical frameworks and innovative problem-solving approaches. Markovic's research spans Teichmüller theory , quasiconformal mappings , hyperbolic geometry , and geometric group theory , with particular focus on minimal surfaces, harmonic maps, and the structure of mapping class groups. His investigations into random geometric structures and homogenization processes reveal deep connections between probabilistic methods and classical geometric analysis, demonstrating exceptional versatility across mathematical disciplines. Analysis of his publication trajectory shows sustained exploration of low-dimensional geometric structures, especially hyperbolic manifolds and Riemann surfaces. Recent work integrates stochastic elements into geometric frameworks, exemplified by studies on random quasiconformal mappings and delauney triangulations, while maintaining rigorous connections to classical problems like the Ehrenpreis conjecture and Schoen's conjecture. His principal recognition includes: Election as Fellow of the Royal Society (FRS) While the provided documentation does not detail specific student supervision activities or grant-funded projects, Markovic's extensive collaborative work—particularly with researchers like Jeremy Kahn and Yair Minsky—highlights his role in advancing collective knowledge. No dedicated laboratory facilities or team structures are referenced in the available materials, consistent with theoretical mathematics research paradigms.

Gabor Francsicsمشاهده پروفایل

دانشیار

• Partial differential equations
• Several complex variables
• Complex hyperbolic spaces
• +۳ مورد دیگر

Gabor Francsics is an Associate Professor in the Department of Mathematics at Michigan State University's College of Natural Science. His office is located in D310 Wells Hall, and he can be reached at (517) 353-7962 or francsics@math.msu.edu. His research focuses on several interconnected mathematical fields: Partial differential equations Several complex variables Complex hyperbolic spaces Microlocal analysis Scattering theory Financial mathematics Dr. Francsics has established himself as a significant contributor to the study of Picard modular groups, with multiple publications analyzing their structure and geometry. His collaborative work with P. D. Lax, N. Hanges, E. Falbel, and J. R. Parker has produced influential results in complex analysis and geometry. His research on Bergman kernels, particularly for tubes and complex ovals, has contributed to our understanding of analytic singularities and multivariable hypergeometric functions. His notable publications demonstrate a progression from foundational work in complex analysis to more applied research in financial mathematics. The most recent publications (2011) focus on geometric aspects of modular groups, while earlier works (2001-1994) established his expertise in Bergman kernels and Cauchy-Riemann complexes. This trajectory shows his ability to bridge pure mathematics with practical applications. Dr. Francsics is actively involved in teaching and advising. He serves as Faculty Advisor for the Actuarial Science Club of MSU. His teaching portfolio includes both theoretical mathematics courses and applied financial mathematics courses. He was on sabbatical in Fall 2008 at the Mathematical Sciences Research Institute in Berkeley as a research member of the Analysis on Singular Spaces Program, demonstrating his standing in the mathematical research community.

Lukas Pflugمشاهده پروفایل

پژوهشگر

• Nonlocal Conservation Laws
• Topology Optimization
• Nanoparticle Synthesis
• +۷ مورد دیگر

Dr. Lukas Pflug is a researcher at the Department of Mathematics, School of Engineering, Friedrich-Alexander University Erlangen-Nürnberg (FAU). His work spans applied mathematics, chemical engineering, and materials science with a focus on nonlocal conservation laws, topology optimization, and nanoparticle synthesis. Primary affiliation: FAU Erlangen-Nürnberg Research themes: Nonlocal PDEs, Robust Optimization, Plasmonics Key contributions include: Developing mathematical frameworks for nonlocal conservation laws and their singular limit problems Advancing topology optimization techniques for photonic crystals and composite materials Pioneering simulation-driven approaches in nanoparticle synthesis and characterization His methodology integrates theoretical analysis with computational implementation, producing 15+ peer-reviewed publications in high-impact journals like Advanced Optical Materials and SIAM Journal on Applied Mathematics between 2023-2025.

• Physics-Informed Neural Networks (PINNs)
• Machine Learning
• Industrial Engineering
• +۶ مورد دیگر

Katayoun Eshkofti is a Postdoctoral Fellow in the Division of Decision and Control Systems at KTH Royal Institute of Technology, joining in June 2024 under supervisors Matthieu Barreau and Henrik Sandberg. Her research bridges machine learning and engineering physics, focusing on predictive maintenance and physics-informed neural networks (PINNs). Education: PhD in Industrial Engineering, specializing in PINNs for coupled PDEs in mechanical systems. Research Interests: Physics-informed machine learning, thermoelasticity, non-Fickian diffusion, and reliability analysis of complex systems. Recent Projects: Developed gradient-enhanced PINNs (gPINNs) for hyperbolic systems, shock-induced thermoelasticity, and non-Fourierian heat transfer in porous materials. Publications: Available via Google Scholar , including presentations at Brown University's CRUNCH seminar.

Roland Púčekمشاهده پروفایل

پژوهشگر ارشد

• Differential Geometry
• Algebraic Geometry
• Toric Geometry
• +۷ مورد دیگر

Roland Púček is a Research Fellow in the Geometry and Representation Theory group led by Prof. Stéphanie Cupit-Foutou at the Faculty of Mathematics, Ruhr University Bochum. He is based in room IB 3/95 and has been a member of two working groups within the COST Action CaLISTA since 2023: Cartan Geometry and Representation Theory, and Integrable Systems and Supersymmetry. Dr. Púček's research spans multiple areas of geometry with strong connections to mathematical physics. His primary interests include: Toric geometry and extremal Kähler metrics Polytopes and combinatorial geometry Representation theory and integrable systems Higher geometry and the crystallization conjecture Applications of geometry to crystal design and material science His recent publications reveal a cohesive research program that bridges abstract mathematical frameworks with physical applications. The work on Veronese polytopes extends classical combinatorial geometry, while research on factorization structures creates new connections between toric varieties and extremal metrics. His publications on crystallographic packings demonstrate practical applications of geometric principles to material science problems. Dr. Púček collaborates extensively within the Geometry and Representation Theory group and participates in international research networks. His current projects on toric separable geometries, polytope geometry, and hyperbolic integral formulae represent significant contributions to contemporary geometric research. He is actively involved with the Floer Center of Geometry at Ruhr University Bochum, which focuses on symplectic geometry, differential geometry, and dynamics. This center hosts various seminars and research activities that contribute to the vibrant mathematical community at RUB, including the Bochum Colloquium in Mathematics.