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Junming XieView profile

Assistant Professor

• Differential Geometry
• Ricci Flow
• Mean Curvature Flow
• +2 more

Junming Xie is a Hill Assistant Professor in the Department of Mathematics at Rutgers University-New Brunswick. His research focuses on differential geometry, particularly Ricci flow and mean curvature flow. He earned his Ph.D. under the supervision of Prof. Huai-Dong Cao at Lehigh University and is currently mentored by Prof. Xiaochun Rong. Research Interests Differential Geometry Ricci Flow Mean Curvature Flow Soliton Theory Geometric Evolution Equations Publications Trends (2023-2025) His recent work investigates gradient Ricci solitons and mean curvature flow solitons in four-dimensional manifolds, focusing on curvature conditions like isotropic curvature and scalar curvature ratios. Key themes include geometric rigidity, asymptotic behavior, and convexity properties of evolving hypersurfaces.

Karl-Theodor SturmView profile

Professor

• Stochastic Analysis
• Geometric Analysis
• Metric Measure Spaces
• +7 more

Karl-Theodor Sturm is a Full Professor at the Institute for Applied Mathematics of the University of Bonn, where he has been since 1997. His research focuses on Stochastic Analysis , Geometric Analysis , and Metric Measure Spaces , particularly in the context of Ricci Curvature , Optimal Transport , and Liouville Quantum Gravity . He currently serves as Director of the Hausdorff Research Institute for Mathematics (since 2024) and previously coordinated the Hausdorff Center for Mathematics (2012–2019). As Principal Investigator of the ERC Advanced Grant Metric measure spaces and Ricci curvature - analytic, geometric and probabilistic challenges (2016–2022), he advanced interdisciplinary research at the intersection of geometry, probability, and analysis. Research Themes : Synthetic Ricci curvature, Optimal transport, Stochastic analysis on singular and random spaces, Dirichlet forms, Geometric inequalities. Recent Publications : Highlighted works include studies on heat flows on nonconvex domains, Wasserstein diffusions, and conformally invariant random fields in quantum gravity. His work often bridges probabilistic methods with geometric and analytic structures. Scientific Awards : Notable accolades include the Heisenberg Fellowship of the DFG (1994) and the ERC Advanced Grant (2016–2022). He has declined offers from prestigious institutions like Imperial College London, Northwestern University, and the University of Kansas. Teaching and Leadership : He leads graduate seminars (e.g., on Gaussian Free Fields and Liouville Quantum Gravity) and advanced courses in geometric analysis. As Managing Director of his institute and member of scientific committees (e.g., Mathematische Forschungsinstitut Oberwolfach), he shapes academic governance.

Oliver M. O'ReillyView profile

Professor

• Continuum Mechanics
• Nonlinear Dynamics
• Rigid Body Dynamics
• +4 more

Oliver M. O'Reilly is a Distinguished Professor of Mechanical Engineering at the University of California at Berkeley, where he also serves as Vice Provost for Undergraduate Education and Faculty Athletics Representative. He has been a faculty member since 1992 and has held significant administrative roles including Chair and Vice Chair of the Berkeley Division of the Academic Senate and Associate Dean for Graduate Education. Dr. O'Reilly's educational background includes: B.E. in Mechanical Engineering from the National University of Ireland, Galway M.S. and Ph.D. in Theoretical and Applied Mechanics from Cornell University Postdoctoral work at the Institut für Mechanik at ETH-Zürich His research spans continuum mechanics and nonlinear dynamics with specializations in Cosserat theories of deformable bodies, constrained rigid body dynamics, contact mechanics, and vibrations. His work has applications in soft robotics, MEMS devices, biomechanics, vehicle dynamics, and the study of everyday phenomena like spaghetti deformation during cooking. His theoretical contributions have significantly advanced the understanding of rod and shell mechanics. Analysis of his recent publications reveals a strong focus on geometric mechanics, elastic rod theory, and applications to soft robotics. His work bridges fundamental theoretical mechanics with practical applications, particularly in developing mathematical models for emerging technologies like soft robots. There's a clear trajectory from classical mechanics problems toward more complex systems with applications in biomedical engineering and novel materials. Dr. O'Reilly has received numerous prestigious awards: U.C. Berkeley's Distinguished Teaching Award (1999) Pi-Tau-Sigma Professor of the Year Award (2003) Tau-Beta-Pi Outstanding Faculty of the Year Award (2013) Berkeley Faculty Service Award As Vice Provost for Undergraduate Education, Dr. O'Reilly plays a significant role in shaping educational policy at Berkeley. His extensive publication record of over 100 journal articles, three textbooks, and a monograph demonstrates his commitment to both research and education. He has mentored numerous graduate students and collaborated widely across mechanical engineering, applied mathematics, and biomedical fields. Dr. O'Reilly leads the Dynamics Lab at UC Berkeley, which focuses on theoretical and applied problems in mechanics. The lab has produced significant work in elastic rod theory, soft robotics, biomechanics, and vehicle dynamics. Current research directions include the mathematical modeling of peristaltic locomotion, stability analysis of mechanical systems, and the development of computational methods for complex mechanical problems.

• Calculus of variations
• Partial differential equations
• Geometric measure theory
• +4 more

Filippo Cagnetti is an Associate Professor (Professore di II fascia) in the Department of Mathematical, Physical and Computer Sciences at the University of Parma , Italy. He regularly teaches foundational courses such as Calculus 2A and Mathematical Analysis A to first- and second-year students enrolled in Mathematics, Geological Sciences (Earth Sciences), and Management Engineering degree programmes, spanning academic years from 2023/2024 through 2025/2026. His research lies at the intersection of calculus of variations , partial differential equations , and geometric measure theory . A recurrent theme is the rigorous derivation of effective models for materials with microstructures via deterministic and stochastic homogenisation , particularly for free-discontinuity problems that describe brittle fracture. Parallel efforts focus on symmetrisation inequalities (Pólya–Szegö, Steiner, Schwarz, Gaussian) and their rigidity properties: under which geometric or analytic conditions equality in an inequality forces the domain to be symmetric or even trivial. Over the past decade his publication portfolio shows a clear evolution from foundational results on viscosity solutions and large-time behaviour of Hamilton–Jacobi equations to highly specialised contributions on Korn- and Poincaré-Korn-type inequalities in spaces of special functions of bounded deformation (GSBD), and on optimal regularity of free boundaries in cohesive fracture models. The techniques employed combine Γ-convergence, fine properties of BV and GSBD spaces, measure-theoretic arguments, and stochastic two-scale convergence. Contact: Email: filippo.cagnetti@unipr.it

Damiano PasiniView profile

Professor

• Solid Mechanics
• Structural Optimization
• Architected Materials
• +7 more

Professor Damiano Pasini is affiliated with the Department of Mechanical Engineering at McGill University, with associate memberships in the Department of Bioengineering and Department of Biomedical Engineering. His research focuses on solid mechanics, structural optimization, and fabrication of architected materials (mechanical metamaterials) with extreme properties for aerospace and medical applications. Expertise in mechanical metamaterials and 3D printing Research on plant tissue mechanics (Selaginella lepidophylla) Applications in bone replacement implants and soft robotics Key methodologies: experiments, theory, simulations Research areas include topology optimization and defect tolerance in additive manufacturing

Etienne VougaView profile

Associate Professor

• Physical simulation
• Geometry processing
• Discrete differential geometry
• +4 more

Etienne Vouga is an Associate Professor in the Department of Computer Science and the Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin. His interdisciplinary research spans physical simulation, geometry processing, and computer graphics, with applications ranging from special effects in films like The Hobbit and Tangled to Artec's Shapify 3D portrait service. Education: PhD from Columbia Computer Graphics Group Postdoctoral research at Harvard SEAS Professor Vouga's research focuses on physical simulation of thin, elastic materials like cloth, hair, and paper, as they deform and collide. He has made significant contributions to discrete differential geometry, developing algorithms that better understand how geometric properties affect physical behavior of deformable objects. His work bridges computer graphics, computational mechanics, and scientific computing, with applications in special effects, 3D printing, architectural design, and biological modeling. He has pioneered approaches in inverse problems where desired outcomes drive the design process rather than simply simulating physical phenomena. Award Highlights: Best Paper Award at GECCO (2017) for Evolutionary Decomposition for 3D Printing Professor Vouga teaches Computer Graphics: Honors (CS 378H/CS 384G) and Physical Simulation (CS 395T) graduate courses every spring semester. He also serves as head coach of UT's competitive programming teams. His research group has developed several important software tools including Discrete Shell Code for shell simulation and Asynchronous Contact Mechanics Code for robust collision handling. While he is not actively expanding his research group significantly, he remains open to working with exceptional graduate students whose research interests align closely with his work in physical simulation and geometry processing.

• Lorentzian Manifolds
• Lie Groups
• Rigidity
• +3 more

Scot R Adams is a Professor at the School of Mathematics at the University of Minnesota. His work spans differential geometry, Lie groups, and applied mathematics, with a focus on rigidity phenomena and group actions on manifolds. He has contributed to the study of Lorentzian manifolds and noncompact Lie groups, as well as computational methods in elasticity. Email: adams005@umn.edu Research Interests: Adams' research centers on geometric and algebraic structures in mathematics, particularly the interplay between Lie groups and manifold dynamics. He has explored topics like frame bundle freeness, analytic group actions, and finite element methods for elasticity. His work often bridges abstract theory with practical computational applications. Grants: He participated as a Co-Investigator in the Yamabe Memorial Symposium (2014-2015), funded by the National Science Foundation, focusing on collaborative research in geometric analysis.

• Computer Graphics
• Physically Based Animation
• Motion Capture
• +4 more

Paul G. Kry is an Associate Professor in the School of Computer Science at McGill University, where he leads the Computer Animation and Interaction Capture Laboratory. His research focuses on physically based animation, computer graphics, and human motor control, with applications in video games, movies, training simulations, ergonomics, and robotics. He teaches graduate and undergraduate courses including COMP 557 (Fundamentals of Computer Graphics) and COMP 559 (Fundamentals of Computer Animation). Dr. Kry's research interests center on computer graphics, physically based animation, skin deformations of articulated characters, motion capture, interaction, and physically based modeling of humans and animals. He investigates human and animal motor control (locomotion, grasping, manipulation) in combination with the physics of rigid objects, deformation, and contact. His work emphasizes the combination of real-world measurements, approximate models, and physically based simulation, with additional interests in machine learning, numerical methods, and audio. His recent publications demonstrate strong trends in physically based animation, with focus areas including adaptive simulation techniques, real-to-sim calibration, constraint-based physics, neural network applications in graphics, and motion control policies. His work spans both theoretical foundations and practical applications, often bridging the gap between computer graphics and robotics. BEST PAPER at Graphics Interface, 2023 BEST STUDENT PRESENTATION at ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, 2019 BEST PAPER at Computational Aesthetics / Expressive, 2016 Dr. Kry actively supervises numerous PhD and MSc students, with many graduates going on to positions at leading companies including Ubisoft, Google, Facebook, and Autodesk. He has served on program committees for major conferences including ACM SIGGRAPH, Symposium on Computer Animation, and Graphics Interface. His lab maintains specialized equipment including a 24-camera motion capture system, force plates, consumer DSLR cameras, high-speed cameras, data gloves, quadrotor robots, and various pressure sensors.

• Calculus of Variations
• Partial Differential Equations
• Geometric Measure Theory
• +3 more

Massimiliano Morini is a Full Professor (Professor of the first class) at the Department of Mathematical, Physical and Computer Sciences of the University of Parma since 2015. His academic career includes prior roles as an Associate Professor (2010-2015) and Researcher (2004-2010) at the same institution, as well as postdoctoral research at Carnegie Mellon University (2001-2004). He has held visiting positions at prestigious institutes including the Max Planck Institute, SIAM, and the Hausdorff Institute. Academic Rank: Full Professor Research Focus: Calculus of Variations, Partial Differential Equations, Geometric Measure Theory, and applications to Materials Science. Teaching: Courses in Advanced Analysis, Geometric Measure Theory, and Variational Methods since 2015. His research emphasizes variational problems with geometric constraints, nonlocal interactions, and curvature-driven flows. Key contributions include stability analysis in free-discontinuity problems, nanowire growth modeling, and regularity theory for capillarity problems. He has supervised three PhD students, including Filippo Cagnetti (University of Sussex) and Marco Bonacini (University of Heidelberg), and co-organized international workshops on nonlinear analysis and calculus of variations. His publications span topics like nonlocal isoperimetric problems, epitaxial strain, and phase-field models. Students: Filippo Cagnetti (Lecturer, University of Sussex) Marco Bonacini (Postdoc, University of Heidelberg) Riccardo Cristoferi (PhD candidate, 2015)

Laurent MonasseView profile

Researcher

• Applied Mathematics
• Computational Mechanics
• Fluid-Structure Interaction
• +3 more

Laurent Monasse is a Researcher in applied mathematics at Inria Centre of Côte d'Azur University and the Jean-Alexandre Dieudonné Laboratory. He is currently part of the Acumes project team at Inria Sophia Antipolis – Méditerranée and University of Nice Sophia Antipolis. His academic journey includes: 2017 - present: Researcher in the COFFEE project team then Acumes, Inria Sophia Antipolis and University of Nice Sophia-Antipolis 2012 - 2017: Researcher at CERMICS, Ecole des Ponts ParisTech 2011 - 2012: Post-doc in the research group of Prof. Charbel Farhat at Stanford, Aero/Astro department 2008 - 2011: PhD thesis at CERMICS, Ecole des Ponts ParisTech Dr. Monasse's research spans multiple areas of applied mathematics and computational mechanics. His primary interests include Discrete Element Methods, Fluid-Structure Interaction, Numerical Integration in Time, Application of Riemannian geometry in structural mechanics, and Geometrical shock dynamics. More recently, he has been involved in the ANR NEMATIC project studying the Growth of mycelium networks. His work demonstrates a strong focus on developing energy-preserving numerical schemes and conservative coupling algorithms for complex physical systems. His publication record shows a consistent focus on computational methods for fluid-structure interaction problems, with recent work extending into biological applications like fungal growth modeling. A notable trend in his research is the development of energy-conserving algorithms and the application of geometric methods to mechanical problems, with significant contributions to shock wave propagation and mycelium network dynamics. His scientific contributions include: An energy-preserving Discrete Element Method for elastodynamics Conservative coupling algorithms between compressible flows and rigid/deformable bodies Applications of Riemannian geometry in structural mechanics Geometrical shock dynamics for blast wave propagation Modeling of mycelium networks growth Dr. Monasse has developed significant simulation software including Mka3D (for elastic solid simulation using discrete elements) and CELIA3D (for fluid-structure interaction between compressible fluids and deformable structures). These codes represent important contributions to the computational mechanics community, with CELIA3D utilizing a Finite Volume cut-cell approach for fluid-structure interaction where the solid is modeled with a Discrete Element Method type formulation.

Pasquero StefanoView profile

Researcher

• Mathematical Physics
• Classical Mechanics
• Fibered Differentiable Manifolds
• +4 more

Prof. Stefano Pasquero is a confirmed University Researcher in the Department of Mathematical, Physical and Computer Sciences at the University of Parma since 1993. He teaches Rational Mechanics in the Mathematics Bachelor's program. Degree in Mathematics (1987, cum laude) PhD in Mathematics (1995, Pisa-Parma-Ferrara-Bari-Lecce consortium) His research focuses on geometric methods in classical mechanics, impulsive constraints, and second-order differential equations. Publications highlight applications of fibered manifolds, algorithmic collision modeling, and symmetry analysis in mechanical systems. Recent works emphasize educational tools for mechanics, including exam problem design and theoretical frameworks. His office is located in the Mathematical Complex at Science Park Area 53/a, Parma, and can be contacted at stefano.pasquero@unipr.it .

• Differential geometry
• Spectral geometry
• Global analysis
• +5 more

Christian Bär is a Professor of Mathematics at the University of Potsdam, where he maintains an active research program in differential geometry, spectral geometry, and mathematical physics. He serves as editor-in-chief of zbMATH Open and previously held the presidency of the German Mathematical Society (DMV) from 2011 to 2012. His research is supported through major collaborative projects including the IMPRS for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory, the DFG Priority Programme 'Geometry at Infinity,' and the Berlin Mathematical School. Professor Bär's primary research interests focus on differential geometry with particular emphasis on spectral properties of Dirac operators, Lorentzian geometry, spin geometry, and scalar curvature problems. His work bridges pure mathematics and theoretical physics, exploring the deep connections between geometric structures and physical phenomena. His research has made significant contributions to understanding the relationship between Dirac operators and geometric invariants, particularly in the context of index theory and rigidity theorems. His recent publications demonstrate a consistent focus on boundary value problems for Dirac-type operators, scalar curvature rigidity, and Lorentzian geometry. The work shows increasing sophistication in handling non-compact boundaries and developing local versions of classical index theorems. His research group has made notable advances in connecting differential geometry with mathematical physics, particularly in the context of general relativity and quantum field theory on curved spacetimes. President of German Mathematical Society (2011-2012) Editor-in-chief of zbMATH Open Professor Bär is actively involved in multiple third-party funded research projects that form a significant part of his research program. The IMPRS for Mathematical and Physical Aspects of Gravitation, Cosmology and Quantum Field Theory provides a framework for interdisciplinary research, while the DFG Priority Programme 'Geometry at Infinity' supports fundamental research in geometric analysis. His collaboration with the Berlin Mathematical School indicates strong connections with graduate education and mentoring of young researchers.

Michele TriestinoView profile

Lecturer

• Group Actions on Manifolds
• Dynamical Group Theory
• Foliation Theory
• +6 more

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.

• Operator Algebras
• Noncommutative Geometry
• Quantum Mathematics
• +4 more

Professor Aidan Sims is a Distinguished Professor of Pure Mathematics at the School of Mathematics and Statistics, UNSW Sydney, where he leads the Quantum Mathematics Research Cluster. He completed his PhD in Operator Algebras at the University of Newcastle (2003) and held prior positions at the University of Wollongong, including Head of School (2018-2021). His research focuses on operator algebras , noncommutative geometry , and quantum mathematics , with emphasis on C*-algebras associated to combinatorial structures (e.g., higher-rank graphs), étale groupoids, and dynamical systems. Key themes include the interplay between algebraic structures and their C*-algebraic invariants, reconstruction theorems, and KMS-state analysis. Publication analysis reveals consistent output in operator algebras (85%), noncommutative dynamics (70%), and topological groupoids (65%), with recent specialization in twisted C*-algebras (2021-2025) and K-theory invariance. Trends show increasing focus on groupoid extensions and classification problems since 2020. Awards and Honors: Fellow, Australian Academy of Science (2025) Australian Mathematical Society Medal (2016) Fellow, Australian Mathematical Society (2015) UOW Vice Chancellor's Researcher of the Year (2015) He has supervised 18+ PhD/Master's students, with current advisees working on twisted C*-algebras and Zappa-Szép products. Secured $4.5M+ in competitive grants, including 14 ARC Discovery Projects (e.g., DP250100297: $574K for twisted algebras in Zappa–Szép products). Leads the Quantum Mathematics Research Cluster and serves as President of the Australian Mathematical Society (2025-2026).

Eric CorwinView profile

Professor

• Soft Condensed Matter
• Granular Materials
• Jamming
• +3 more

Eric Corwin is a Professor of Physics at the University of Oregon, College of Arts and Sciences. He has been at UO since 2010, conducting research in soft condensed matter physics with a focus on granular materials, jamming, and non-equilibrium statistical mechanics. Education: Ph.D., University of Chicago, 2007 Corwin employs experimental, simulational, and theoretical tools to study complex systems arising from simple interactions. His work addresses fundamental questions in the glass transition, jamming, and the behavior of granular materials, with implications for material design and biophysics. Analysis of his recent publications (2021-2025) reveals three dominant themes: (1) extreme diffusion and outlier statistics in many-particle systems, (2) mechanical stability of ultra-low density sphere packings (Dionysian packing), and (3) scaling relations in jamming critical phenomena, including high-dimensional prefactors. Leading the CORWIN LAB, Corwin explores how simple interactions generate complex behavior. Current projects include Dionysian Packing for lightweight materials, Extreme Diffusion frameworks for environmental fluctuations, and computational studies of jamming in high dimensions.