Find Academic Supervisors

Jesus Martinez-GarciaView profile

Senior Lecturer

• Algebraic Geometry
• Complex Geometry
• Birational Geometry
• +3 more

Dr Jesus Martinez-Garcia is a Senior Lecturer in the Department of Mathematical Sciences at the University of Essex, within the School of Mathematics, Statistics and Actuarial Science (SMSAS). His research focuses on algebraic and complex geometry, particularly birational geometry of Fano varieties, K-stability, moduli spaces, and computational algebraic geometry. He has held postdoctoral positions at the University of Bath, Max Planck Institute for Mathematics in Bonn, and Johns Hopkins University, and briefly served as an Adjunct Professor at Korea University. Dr Martinez-Garcia holds a PhD in Mathematics from the University of Edinburgh (2013), an MASt in Mathematics from the University of Cambridge (2009), and dual degrees from Universidad Autónoma de Madrid: MEng in Computer Engineering (2008) and MSci in Mathematics (2008). His research interests include Kähler-Einstein metrics, classification of Fano varieties, geometric invariant theory (GIT), and computational methods in algebraic geometry. He has contributed to foundational work on K-moduli spaces, asymptotic log Fano varieties, and moduli compactifications. Dr Martinez-Garcia’s publications span theoretical advancements and computational tools, including the Variations of GIT quotients package. His work bridges algebraic geometry with differential geometry, emphasizing connections between stability conditions and geometric structures. Grants and funding details are listed on his profile, though specific grants are not detailed here. He actively advises students in his field and contributes to teaching at Essex, with academic support hours coordinated via Moodle. He is affiliated with STEM 5.9 on the Colchester Campus and can be reached via email at jesus.martinez-garcia@essex.ac.uk .

Peter ConstantinView profile

Professor

• Mathematical Physics
• Applied Mathematics
• Fluid Dynamics
• +4 more

Peter Constantin is a Professor in the Department of Mathematics at Princeton University, specializing in mathematical physics and applied mathematics. His research focuses on fluid dynamics, partial differential equations, and nonlinear systems, with particular emphasis on Navier-Stokes equations, surface quasi-geostrophic (SQG) equations, and magnetohydrodynamics (MHD). He explores critical aspects of fluid behavior, including singularity formation, turbulence, and inviscid limits. Key areas of study include global regularity analysis for hydrodynamic models, stability of plasma equilibria, and coupled systems such as Nernst-Planck-Navier-Stokes. His work bridges theoretical analysis and applications in geophysical fluid dynamics and plasma physics. Recent research highlights include studies on the inviscid limit of vorticity distributions, magnetic relaxation in MHD systems, and the mathematical foundations of complex fluid models. He has contributed to understanding electrokinetic phenomena, electrodiffusion, and the interplay between fluid dynamics and particle interactions. His publications reflect a deep engagement with both foundational PDE theory and applied problems, addressing topics like singularity conditions in Euler equations, blow-up criteria, and the role of symmetry in fluid and plasma systems.

Karoline DisserView profile

Professor

• Applied Analysis
• Theory of PDEs
• Mathematical Fluid Dynamics
• +6 more

Prof. Dr. Karoline Disser is a Professor of Analysis at the Institute of Mathematics, Universität Kassel, within Faculty 10: Mathematics and Natural Sciences. Her research focuses on applied analysis and partial differential equations, particularly in fluid dynamics, fluid-structure interaction, and complex flow systems. She holds a PhD from TU Darmstadt (2009) and habilitation from Humboldt-Universität zu Berlin (2017). Her teaching includes advanced courses in calculus of variations, function spaces, and mathematical fluid dynamics, spanning institutions like TU Darmstadt, HHU Düsseldorf, and TU Berlin. Research interests encompass reaction-diffusion systems, elliptic/parabolic regularity, and variational methods for evolution equations. Recent publications (2016–2022) address fluid-structure interaction, semiconductor equations, and multiscale chemical reaction modeling. Her work emphasizes rigorous mathematical analysis with applications in engineering and geophysical systems. No awards are listed, but her contributions reflect interdisciplinary engagement in applied mathematics and continuum mechanics.

Ronald BlabView profile

Professor

• Road Engineering
• Pavement Design
• Material Science (Asphalt/Concrete)
• +5 more

Prof. Ronald Blab is a distinguished academic at TU Wien's Faculty of Civil and Environmental Engineering, holding the position of Professor in the Institute of Transport Sciences. His research focuses on advanced road engineering topics, including pavement design, material science, and infrastructure management. He leads projects on performance-based design approaches and innovative testing methods for pavements, such as multi-directional Falling Weight Deflectometer (FWD) analyses. Notable contributions include work on bonded concrete overlays, unbound block pavement systems, and winter service infrastructure resilience. Blab has authored over 400 publications and supervised numerous theses, with recent work emphasizing sustainable materials and structural longevity under dynamic loads. He holds an honorary doctorate (Dr. h.c.) and has been pivotal in advancing Austrian engineering standards. His research integrates computational modelling, field testing, and lifecycle cost analysis for infrastructure solutions. Key projects include the implementation of lifecycle cost assessment (LCCA) in Austrian pavement design and the development of design catalogs for regional road networks. His academic leadership extends to lectures on winter maintenance strategies and the rebranding of TU Wien's Civil Engineering Faculty to emphasize environmental engineering.

Rishabh DabralView profile

Researcher

• 3D Computer Vision
• Computer Graphics
• Multi-Modal Interactions
• +6 more

Rishabh Dabral is a Research Group Leader at the Max Planck Institute for Informatics since August 2024, leading the "3D Visual Intelligence" group. He is also affiliated with the Research Training Group on Neuro-Explicit Models of Language, Vision, and Action at Saarland University. Expertise: 3D computer vision, computer graphics, human-object interaction modeling, and motion synthesis. Leadership: Conducts cutting-edge research on 3D human performance capture and physical plausibility in motion. His research focuses on: 3D human pose estimation under gravity constraints Multi-modal gesture synthesis using neural architectures Quantum auto-encoding for 3D representations Wearable robotics informed by human behavior Temporal dynamics in human-object interaction Recent publications at top venues like SIGGRAPH , CVPR , and ICCV demonstrate his work on: Music-driven motion synthesis Egocentric motion capture systems Reactive two-person interaction models Diffusion-based gesture generation Object-aware motion prediction Wearable robotic limb design

Michelle BucherView profile

Senior Lecturer

• Geometry
• Topology
• Group Theory
• +7 more

Michelle Bucher is a Senior Lecturer (Maître d'Enseignement et de Recherche) at the University of Geneva , within the Section of Mathematics of the Faculty of Science. She has been based in Geneva since 2011, initially serving as an SNSF professor before transitioning to her current role. Education: Ph.D. in Mathematics from ETH Zurich , with thesis titled "Characteristic classes and bounded cohomology" under advisor Marc Burger. Diploma in Mathematics from University of Geneva , with thesis titled "Croissance de groupes et produits libres avec amalgamation" under advisor Pierre de la Harpe. Research Interests: Her research lies at the intersection of geometry and topology , with a particular emphasis on non-positively curved manifolds . She explores simplicial volume , bounded cohomology , characteristic classes , and volume rigidity . Her work often involves deep connections between geometric structures and algebraic invariants, including applications to hyperbolic geometry , Coxeter groups , and 3-manifolds . Publications and Research Trends: Her recent publications focus on advanced topics such as Furstenberg boundaries , measurable cohomology , and integrality of volumes in complex hyperbolic settings. There is a clear trend toward understanding geometric invariants through the lens of bounded cohomology and representation theory, particularly in the context of discrete groups and symmetric spaces. Teaching and Supervision: She teaches a wide range of courses, from basic algebra and geometry to advanced topics such as Coxeter groups , hyperbolic geometry , and p-adic numbers . Her current Ph.D. student is Sofia Amontova , and she has previously supervised Caterina Campagnolo and Hester Pieters . She has also mentored postdocs including Alessio Savini , Christoforos Neofytidis , and Alexey Talambutsa . Research Group: She leads the Algebra and Geometry research group, which includes doctoral students and postdoctoral researchers working on cutting-edge problems in geometry, topology, and group theory.

• Computer Vision
• Computer Graphics
• Machine Learning
• +4 more

Dr. Marc Habermann is a Tenured Senior Researcher and Scientific Manager of the Real Virtual Lab at the Max Planck Institute for Informatics (Department 6: Visual Computing and Artificial Intelligence). He leads the Graphics and Vision for Digital Humans research group, focusing on cutting-edge technologies in Computer Vision, Computer Graphics, and Machine Learning. His work emphasizes real-time human performance capture, photorealistic animation synthesis, and generative 3D human models derived from video data. Research Interests: Computer Vision, Computer Graphics, Machine Learning, Human Performance Capture, Non-Rigid Deformation Reconstruction, Neural Rendering, and Motion Capture. His contributions span topics like Gaussian splats optimization, sparse-view avatar synthesis, and physics-based cloth simulation. Awards: Saarland University Associate Fellow (2025) Key Publications (2025): Second-order Optimization of Gaussian Splats with Importance Sampling (arXiv) GIGA: Generalizable Sparse Image-driven Gaussian Avatars (arXiv) EVA: Expressive Virtual Avatars from Multi-view Videos (Siggraph 2025) Labs & Projects: Manages the Real Virtual Lab and heads the Graphics and Vision for Digital Humans group, advancing technologies for digital human avatars and immersive telepresence systems.

Thomas HaettelView profile

Senior Lecturer

• Geometric Group Theory
• Nonpositive Curvature Geometry
• Metric Spaces
• +3 more

Thomas Haettel is a Senior Lecturer at the University of Montpellier and IUT Montpellier-Sète since 2013. He is a Junior member of the Institut Universitaire de France (IUF) for 2025-2030. His academic affiliation spans the Faculty of Science's Department of Mathematics, where he contributes to research and teaching. His research focuses on geometric group theory, specifically group actions on nonpositively curved spaces. Key areas include: Combinatorial nonpositive curvature (CAT(0) cube complexes, Helly graphs, Garside categories) Coarse nonpositive curvature (hierarchically hyperbolic spaces, coarse median spaces) Continuous nonpositive curvature (symmetric spaces, Teichmüller spaces, injective metric spaces) Braid groups and Artin-Tits groups Mapping class groups and surface fundamental groups His article analysis reveals: Geometric rigidity of higher rank lattices Injective metric structures in buildings and symmetric spaces New Garside theory applications Proper affine actions on Lp spaces Horofunction compactifications Automorphism classifications in Helly graphs Awards: IUF Junior membership HDR (Habilitation à Diriger les Recherches) 2021 He supervises PhD students in geometric group theory and has held visiting positions at CRM Montréal, EPFL, and Princeton University.

Takumi MurayamaView profile

Assistant Professor

• Algebraic Geometry
• Commutative Algebra
• Algebra
• +3 more

Takumi Murayama is an Assistant Professor of Mathematics at Purdue University, affiliated with the Department of Mathematics within the College of Science. His research focuses on Algebraic Geometry and Commutative Algebra, with particular emphasis on topics such as singularities, birational geometry, and positivity properties. He has contributed to foundational work on Fujita-type theorems, vanishing theorems, and the Minimal Model Program in various geometric contexts. His recent studies explore properties of rings and schemes in both characteristic zero and positive characteristic settings. His research interests span theoretical aspects of algebraic geometry, including moduli spaces, symbolic powers, and Seshadri constants. He has also investigated applications of tight closure theory and F-singularities in commutative algebra. Notable contributions include advancements in understanding the projectivity of moduli spaces and the behavior of nef classes on algebraic varieties. Recent publications highlight explorations into cubical descent for analytic spaces, uniform bounds on symbolic powers, and the interplay between algebraic and analytic methods in geometry. These works demonstrate a deep engagement with both classical and modern techniques in algebraic geometry and commutative algebra. While no specific grants or advising activities are listed, his academic profile reflects active participation in the mathematical research community through publications in top-tier journals and collaborations across international institutions. His personal website provides further details on his ongoing research and preprints.

Theodora BourniView profile

Associate Professor

• Geometric Analysis
• Differential Geometry
• Partial Differential Equations
• +3 more

Theodora Bourni is an Associate Professor in the Department of Mathematics at the University of Tennessee, Knoxville, within the College of Arts and Sciences. Her research focuses on Geometric Analysis, Differential Geometry, and Partial Differential Equations, with specializations in Geometric Flows and Geometric Measure Theory. She holds a Ph.D. from Stanford University. Her work explores ancient solutions of geometric flows, particularly mean curvature flow and curve shortening flow, analyzing their convexity, collapse dynamics, and singularity formation. She has collaborated extensively on topics like free boundary problems, curvature estimates, and spectral geometry in non-Euclidean settings. Key contributions include classifying ancient solutions in convex domains and studying the interplay between geometric evolution equations and topological transitions. Her publications span journals such as the Journal of Differential Geometry, Calculus of Variations and Partial Differential Equations, and Annali della Scuola Normale Superiore di Pisa. She has edited conference proceedings on Mean Curvature Flow and authored a book chapter on minimal surfaces. Current research continues to investigate geometric flows' long-time behavior and their applications in differential geometry.

• Fluid-Structure Interaction
• Continuum Mechanics
• Numerical Analysis
• +3 more

Matthias Heil is a Professor of Applied Mathematics at The University of Manchester, specializing in Fluid-Structure Interaction, Continuum Mechanics, and Numerical Analysis. His research focuses on fluid dynamics, solid mechanics, and computational methods, with contributions to the OOMPH-LIB software library. He is affiliated with the Continuum Mechanics and Numerical Analysis research groups, and his work aligns with UN Sustainable Development Goals through initiatives like Digital Futures and the Christabel Pankhurst Institute. Education details are available on his personal webpage. Research interests include fluid-structure interaction in physiological systems, elastic-walled channel flows, and microfluidic applications. His recent work explores sedimentation dynamics, wake instabilities, and multiphysics modeling. He has supervised 20 research works and contributed to projects like the Föppl–von Kármán equations for MEMS membranes. Labs/Teams: Continuum Mechanics Group, OOMPH-LIB developers, Fluid-Structure Interaction research cluster.

Marisa dos Reis CantarinoView profile

Research Fellow

• Smooth Dynamical Systems
• Hyperbolic Behavior
• Ergodic Theory
• +6 more

Marisa dos Reis Cantarino is a Research Fellow at the School of Mathematics, Monash University. She holds a PhD in Mathematics from the State University of Campinas (2018–2022), a Master's in Applied Mathematics from the University of São Paulo (2016–2018), and dual Bachelor's degrees in Mathematics Education and Applied and Computational Mathematics from the University of São Paulo (2012–2021). Prior to her current role, she was a Postdoctoral Researcher at Fluminense Federal University (2022–2023). Her research focuses on Smooth Dynamical Systems , particularly those exhibiting hyperbolic behavior. Key interests include the study of Anosov endomorphisms, SRB measures, equilibrium states, and the theoretical/computational proof of blender existence. She explores differential, topological, and ergodic properties of non-invertible maps, addressing open questions in the field. Her recent work emphasizes measure rigidity in hyperbolic systems and equilibrium states for partially hyperbolic maps. Earlier research includes periodic billiard orbits in obtuse triangles. Collaborations span dynamical systems and ergodic theory, with external engagements in Brazil and Australia. Notable outputs include studies on foliation regularity in Anosov systems (2023), Gibbs measure rigidity (2024), and equilibrium states in one-dimensional center dynamics (2023). Her work bridges theoretical advancements with computational methods.

S. Jon ChapmanView profile

Professor

• Industrial mathematics
• Mathematical modelling
• Matched asymptotic expansions
• +16 more

Professor S. Jon Chapman is a faculty member at the Mathematical Institute, University of Oxford, holding the position of Professor of Mathematics and its Applications. He is affiliated with the Oxford Centre for Industrial and Applied Mathematics research group. His educational background includes a DPhil, MA, and BA. Research interests span diverse areas of applied mathematics and scientific modeling: Industrial mathematics and mathematical modeling Partial differential equations and asymptotic methods Fluid dynamics and turbulence theory Biophysical applications including tumor growth and tissue modeling Electromagnetic scattering and superconductivity Materials science and energy systems Publication analysis reveals two primary trends: Recent work (2025) focuses on electrochemical systems (battery modeling, gas-induced bulging) and biological applications (organoid models). Earlier influential publications established expertise in pattern formation, fluid dynamics (ship waves, spiral waves), and transport phenomena in biological systems. Mathematical techniques consistently feature multiscale analysis, asymptotic methods, and nonlinear modeling. Awards and honors recognizing scholarly contributions: Naylor Prize (2015) Julian Cole Prize (2002) Whitehead Prize (1998) Richard C. DiPrima Prize (1994) Johnson Mathematical Prize (1992) No information is available regarding student advising, grants, or laboratory affiliations.

• Calculus of Variations
• Geometric Analysis
• Partial Differential Equations
• +4 more

Domenico Mucci is an Associate Professor at the Department of Mathematics, University of Parma. His research focuses on calculus of variations, geometric analysis, and partial differential equations with applications to material science and continuum mechanics. Key areas of investigation include energy relaxation in constrained mappings, geometric curvatures of irregular curves, and fracture mechanics in elastic materials. Education details are not explicitly provided, but his extensive publication record indicates advanced expertise in mathematical analysis and applied mathematics. His work often involves collaborations with leading researchers such as P.M. Mariano and L. Nicolodi, addressing topics like BV spaces, Sobolev maps, and the mathematical foundations of non-smooth geometric structures. Research interests prominently feature relaxed energies in constrained systems , nonlinear elasticity models , and geometric singularities . Recent articles explore generalized Varga materials, minimal hyperfurfaces, and crack nucleation in shells. His contributions bridge pure mathematical analysis with applied mechanics, addressing problems in materials science and engineering. No scientific awards are explicitly mentioned, but his prolific publication history (64 papers listed) reflects sustained academic impact. Ongoing work includes studies on fractional Sobolev spaces, weak curvatures, and variational problems in high-dimensional settings. Collaborations often involve theoretical frameworks for continuum kinematics and incompatible strain decompositions.

Martin Mion-MoutonView profile

Researcher

• Geometric Structures
• Dynamical Systems
• Differential Geometry
• +3 more

Martin Mion-Mouton is a researcher in Mathematics at the Max Planck Institute for Mathematics in the Sciences (Leipzig), working in Anna Wienhard's 'Geometry, Groups, and Dynamics' research group. He holds a PhD from the University of Strasbourg (2020) under Charles Frances. Previous roles include a postdoctoral fellowship at the Technion (2021–2023) and an ATER position (temporary teaching/research) at Strasbourg University (2021). His research focuses on geometric structures interacting with dynamical systems, emphasizing rigidity phenomena and their implications for geometry and dynamics. Key research areas include rigid geometric structures, parabolic Cartan geometries, flag structures in 3D, partially hyperbolic diffeomorphisms, Anosov flows, singular Lorentzian surfaces, and homographic interval exchange maps. His work bridges differential geometry and dynamical systems, with contributions to geometric compactifications, path structures, and classification of homogeneous structures. Recent activities include talks at the Institute of Mathematics of Toulouse, Jussieu, and conferences on complex hyperbolic geometry and ergodic theory. He has supervised a master’s student (Justin Rieber, 2021) and engaged in outreach, including collaborations with French schools. His academic network spans institutions in France, Germany, Israel, and Brazil. Notable publications include studies on lightlike bi-foliation rigidity, flag structure surgeries, and automorphism group classifications in path geometries.