جست‌وجوی استاد و پژوهشگر

Simon Scottمشاهده پروفایل

استاد

• Geometric Analysis
• Fourier Integral Operators
• Geometry
• +۴ مورد دیگر

Simon Scott is a Professor of Mathematics at King's College London, affiliated with the Department of Mathematics within the Faculty of Natural, Mathematical & Engineering Sciences. He holds a D.Phil. from the University of Oxford (1993) and has held positions at Oxford University, Universidad de los Andes, and SISSA before joining King's in 1998. His research focuses on geometric analysis, traces of Fourier integral operators, and Lie theory, with applications to topology, quantum field theory, and spectral invariants. Research Interests: Simon's work integrates pseudodifferential operators, index theory, and non-commutative geometry to construct invariants of manifolds. Notably, he explores the interplay between operator spectra and geometric/topological properties of spaces, with contributions to TQFT (Topological Quantum Field Theory) and gauge group representations. Key Achievements: He authored a major research book on traces and determinants of pseudodifferential operators and holds a Leverhulme Trust Research Fellowship (2005). His recent work includes studies on residue-torsion, vertical genera, and log TQFT, advancing geometric analysis and spectral theory. Collaborations & Leadership: He co-led a project on formal cyber incident models (2013–2016) and is building a geometric analysis research group at King’s, emphasizing international collaborations in areas like elliptic boundary conditions and quantum field theory.

Katrin Beckerمشاهده پروفایل

استاد

• String Theory
• Quantum Gravity
• Supersymmetry
• +۳ مورد دیگر

Professor Katrin Becker is a faculty member at Texas A&M University, affiliated with the George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy. Her research focuses on string theory, quantum gravity, and supersymmetry, particularly exploring the reconciliation of general relativity with quantum physics through string theory frameworks. She co-authored a widely cited textbook on string theory and has contributed to advancements in supergravity and M-theory. Key awards include the Bush Excellence Award (2017), Radcliffe Fellowship (2005), and Alfred Sloan Research Fellowship (2003). Her work often involves collaborations with Melanie Becker and J.H. Schwarz, among others. Current research emphasizes perturbative string theory and Kaluza-Klein theories, with recent publications in Journal of High Energy Physics . Her institutional partnerships include the Mitchell Institute, supporting interdisciplinary physics research. Publications highlight theoretical explorations of supergravity components, dimensional reductions, and superspace formulations, reflecting her expertise in high-energy theoretical physics. Grants and advising roles are integral to her contributions, fostering advancements in fundamental physics through collaborative efforts.

Amit Acharyaمشاهده پروفایل

استاد

• Continuum Mechanics
• Theoretical Materials Science
• Applied Mathematics
• +۶ مورد دیگر

Amit Acharya is the Paul P. Christiano Professor of Civil and Environmental Engineering at Carnegie Mellon University (CMU), with affiliations in the Center for Nonlinear Analysis and Mathematical Sciences, and Materials Science and Engineering (courtesy). He leads the Mechanics, Materials, and Computing (MMC) research group, focusing on theoretical and computational defect mechanics in crystalline, liquid crystalline, and metallic glass systems. His work bridges continuum mechanics, applied mathematics, and materials science, emphasizing the interplay between structural defects and material behavior. Education: Ph.D. (Theoretical & Applied Mechanics, UIUC 1994); MS (Mining Engineering, University of Utah 1991); BTech (Mining Engineering, Indian School of Mines 1988) Research interests include dislocation dynamics, coarse-graining of nonlinear systems, and differential geometry in structural mechanics. Notable contributions include the Hysteresis nonlinear viscoelastic material model and S4 shell element during his tenure at HKS/Simulia (1995–1998). He has pioneered continuum models for defect interactions in polycrystalline materials and explored topological defects in nematic systems. Recent work (2023–2025) advances variational principles in dislocation mechanics, thermomechanical coupling, and machine learning-enhanced computational methods. His studies address grain boundary dynamics, fracture mechanics, and the geometric foundations of plasticity. Ongoing projects explore actuation mechanisms in nematic glasses and the unification of dislocation-based plasticity theories. Awards and recognition are not explicitly listed, though his contributions are reflected in foundational models used in commercial software (e.g., ABAQUS) and academic research. He advises graduate students through CMU’s CEE department and collaborates on DOE-funded initiatives, such as the Center for Simulation of Advanced Rockets (UIUC, 1998–2000). Labs/Teams: Lead researcher in the MMC Group, affiliate of CMU’s Center for Nonlinear Analysis, and collaborator in multi-scale materials modeling networks.

Brian Williamsمشاهده پروفایل

استادیار

• Quantum Field Theory
• String Theory
• Algebraic Geometry
• +۴ مورد دیگر

Brian Williams is an Assistant Professor at Boston University, specializing in the intersection of geometry, algebra, and quantum field theory. He is a core member of the Geometry and Physics research group. His research focuses on holomorphic quantum field theories, factorization algebras, and their connections to vertex algebras, supersymmetry, and geometric representation theory. He teaches advanced courses such as spin geometry and regularly organizes conferences like the New England Algebraic Topology and Mathematical Physics Seminar. Affiliations: Boston University (current), University of Edinburgh, Northeastern University, Northwestern University Research interests include applying homotopical algebra to quantum field theory structures, studying superconformal algebras, and exploring twisted holography. His work bridges mathematical physics with algebraic topology, particularly through the lens of factorization algebras and BV formalism. Recent articles analyze topics like holomorphic twists of supersymmetric theories, local symmetries in supergravity, and quantization of mixed topological-holomorphic systems. His contributions emphasize geometric interpretations of QFT anomalies and symmetries.

• Theoretical Physics
• Mathematical Physics
• General Relativity
• +۳ مورد دیگر

Juan Margalef Bentabol is an Assistant Professor in the Department of Mathematics at Carlos III University of Madrid. He is affiliated with the Modeling, Numerical Simulation and Industrial Mathematics research group and the Gregorio Millán Barbany University Institute for Modelling and Simulation. His research focuses on theoretical physics, mathematical physics, and gravitational theories, with a particular emphasis on general relativity, quantum gravity, and the geometric foundations of field theories. His work explores topics such as the covariant phase space formalism, boundary conditions in gravitational theories, and the interplay between topology and dynamics in physical systems. He has contributed to understanding symplectic structures in gravity, the analysis of marginally trapped surfaces, and the quantization of scalar fields in curved spacetimes. His research also extends to mathematical areas like differential geometry and partial differential equations. Notable contributions include studies on the equivalence of symplectic forms in canonical and covariant formulations, the analysis of nonmetricity and torsion in modified gravity theories, and the geometric interpretation of configuration spaces in classical mechanics. He has supervised theses on topics such as the covariant phase space of gravity with boundaries and transformations applied for design. He is actively involved in academic activities, including co-authoring papers in prestigious journals like Physical Review D , Classical and Quantum Gravity , and General Relativity and Gravitation . His work is recognized internationally, with multiple citations and readership on platforms like Mendeley.

• Geometric Topology
• Differential Geometry
• Anosov Representations
• +۵ مورد دیگر

Nicolas Tholozan is a Research Fellow at the CNRS , affiliated with the Department of Mathematics and Applications at École Normale Supérieure (ENS) in Paris, France. His work primarily bridges geometric topology, differential geometry, and representation theory, focusing on Anosov representations, anti-de Sitter geometry, and geometric structures on manifolds. He has supervised multiple doctoral students and co-organized several research seminars and workshops. Education : PhD in Mathematics (2014) from Université Nice Sophia Antipolis, advised by Sorin Dumitrescu. Research Leadership : Scientific Secretary of CNRS Section 41 since 2021; co-organizer of seminars like 'Tell me about...' and working groups on affine varieties. Research Trends span geometric structures on manifolds, including anti-de Sitter geometry, Anosov representations, and volume invariants. His publications often intersect dynamical systems, Lie group actions, and moduli spaces of geometric objects. Students : Samuel Bronstein (postdoc, Max Planck Institute) Tianqi Wang (postdoc, Yale University, co-supervised with Tengren Zhang) Giorgos Stamatiou (PhD candidate)