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• Differential Equations
• Nonlinear Dynamics
• Mathematical Analysis
• +6 more

Duccio Papini is an Associate Professor at the Department of Engineering Sciences and Methods (DISMI) of the University of Modena and Reggio Emilia. His research focuses on differential equations, dynamical systems, and their applications in engineering and biology. He teaches courses in mathematical analysis for Electronic Engineering and Management Engineering programs. His work emphasizes periodic solutions, chaotic dynamics, and boundary value problems. He has contributed to studies on relativistic Kepler problems, nonlinear oscillators, and entropy optimization in cryptographic systems. His research often combines variational methods, topological techniques, and numerical simulations to explore complex systems. Education and Affiliations Department of Engineering Sciences and Methods (DISMI), University of Modena and Reggio Emilia Research Interests Nonlinear differential equations and boundary value problems Chaotic dynamics and bifurcation analysis Applications in physics, engineering, and population dynamics Random number generation and entropy optimization Teaching Mathematical Analysis I (Electronic Engineering) Fundamentals of Mathematical Analysis (Management Engineering) Grants and Collaborations Focus on interdisciplinary projects involving mathematics and engineering applications Labs and Teams Active in collaborative research groups within the Department of Engineering Sciences and Methods, focusing on dynamical systems and applied mathematics.

• Quantum Mechanics
• Statistical Mechanics
• Condensed Matter Physics
• +3 more

Silvia Noemi Santalla Arribas is an Associate Professor at Universidad Carlos III de Madrid, specializing in theoretical and condensed matter physics. She currently serves as Coordinator of the Final Degree Project in Science and Director of the Science Degree program. Her research focuses on quantum systems, statistical mechanics, and non-equilibrium dynamics, with notable contributions to topics such as entanglement entropy in spin chains, Kardar-Parisi-Zhang universality, and applications of statistical mechanics to epidemic modeling. Her work bridges quantum information theory, material science, and interdisciplinary systems like social networks. Her publications span over two decades, addressing phenomena ranging from Ising interface dynamics to nanowire reconstruction under magnetic fields. Notable trends include exploring universality classes in stochastic systems, quantum correlations in inhomogeneous media, and the interplay between geometry and entanglement. She has also engaged in science education outreach, such as a course on Women in Science for business students. Her advising and grants include directing academic programs and coordinating research projects, though specific student names or grant details are not publicly listed. She is affiliated with the university’s research portal, collaborating on networks and co-author maps in theoretical physics domains.

Josep Maria Porta PleiteView profile

Researcher

• Motion Planning
• Computational Robotics
• Robot Kinematics
• +7 more

Josep Maria Porta Pleite is an Associate Researcher at the Institut de Robòtica i Informàtica Industrial (IRI), a joint center of the Spanish National Research Council (CSIC) and Universitat Politècnica de Catalunya (UPC). He leads the Kinematics and Robot Design (KRD) research group and has been actively contributing to robotics and computational kinematics since 2007. His work bridges theoretical algorithm development and practical applications in robotics, molecular biology, and environmental toxicology. Porta’s research spans motion planning , robot kinematics , SLAM , and planning under uncertainty . He has made significant contributions to solving complex kinematic problems in closed-chain systems and molecular conformational spaces. His work often involves developing efficient algorithms and open-source software tools such as the CuikSuite , Cuik-KDtree , and Pose SLAM , which are widely used in robotics research. His recent publications (2019–2025) reveal a strong trend toward interdisciplinary applications, particularly in zebrafish behavioral analysis and neurotoxicology , where computational methods are applied to assess environmental contaminants. He also continues to advance core robotics problems, including trajectory optimization, hand-eye calibration, and closed-form solutions in rotation geometry. His work appears in top-tier journals such as IEEE Transactions on Robotics , Mechanism and Machine Theory , and Science of the Total Environment . Porta has served as an associate editor for IEEE Transactions on Robotics (2015–2018) and has supervised numerous students and collaborators. He has led long-term software development efforts and secured research funding through national and European projects. Scientific Contributions: Lead developer of the CuikSuite for motion analysis of closed-chain systems. Coordinator of the KRD research group since 2011. Contributor to ambient intelligence and robot localization during his postdoc at the University of Amsterdam. He advises multiple students in robotics, computer vision, and biomedical applications, and his team develops tools for path planning, singularity analysis, grasp optimization, and molecular modeling. There is no indication of part-time status, retirement, or former affiliation.

• Dynamical Systems
• Differential Equations
• Mathematical Modelling
• +3 more

Ana Maria Cima Mollet is a faculty member in the Department of Mathematics at the Autonomous University of Barcelona (UAB), specializing in Dynamical Systems and Differential Equations. She holds an Associate Professor position and has been actively engaged in research since 1978. Education: Ph.D. in Mathematical Sciences, UAB (1987) Degree in Mathematical Sciences, UAB (1978) Research Interests: Bifurcation theory and periodic orbits in continuous and discrete dynamical systems. Integrability and mathematical modeling of dynamical systems. Analysis of polynomial vector fields and their applications. Recent Research Trends: Focus on piecewise linear systems, phase portraits, and global attractors. Investigations into periodic maps and their quantized first integrals. Grants & Projects: Leading investigator in projects like Sistemas dinámicos contínuos y discretos (2023–2026). Contributions to codimension-k bifurcation analysis (EU-funded DYNAMICS project).

Dimitri ShlyakhtenkoView profile

Professor

• Free Probability Theory
• Von Neumann Algebras
• C*-Algebras
• +6 more

Dimitri Shlyakhtenko is a Professor at the University of California, Los Angeles (UCLA) Department of Mathematics, with a distinguished career in free probability, operator algebras, and von Neumann algebras. He has held leadership roles as Department Chair (2012-2015) and Director of the Institute for Pure and Applied Mathematics (2017-). Ph.D. in Mathematics (1997) from UC Berkeley under Dan-Virgil Voiculescu . B.S. with high distinction from the University of Nevada, Reno (1993). His research spans free probability , von Neumann algebras , C*-algebras , L2-invariants , and Poisson geometry . He has pioneered connections between free probability and random matrix theory, subfactor classifications, and non-commutative transport equations. Recent work includes inequalities for free entropy dimension and duality in non-commutative optimal transport. His 15 most recent publications focus on free entropy dimension, crossed products, non-commutative transport, and classification of von Neumann algebras. Topics include non-microstates free entropy , free group factors , quasi-regular inclusions , and type B free probability , with applications to quantum information and ergodic theory. Scientific Awards : Sloan Foundation Fellowship (2001), NSF Fellowships (1994, 1998), Clay Mathematics Institute award (2002), and Bourbaki Seminar recognition (2004). Organized major conferences at Fields Institute, Oberwolfach, IPAM, and UC Berkeley on quantitative linear algebra, free probability, and von Neumann algebras. He has mentored 12 Ph.D. students, including David Jekel and Max Zhou , with research in free analysis and operator-valued distributions. His work also involves collaborations with leading mathematicians like Alain Connes and Sorin Popa .

Ariane CarranceView profile

Researcher

• Combinatorics
• Probability Theory
• Discrete Metric Spaces
• +5 more

Ariane Carrance is a postdoctoral researcher at the Department of Mathematics, Faculty of Mathematics, University of Vienna, where she works with Professor Nathanaël Berestycki. Her research program bridges combinatorics, probability theory, and theoretical physics with applications to quantum gravity. PhD in Mathematics, Institut Camille Jordan, supervised by Grégory Miermont and Fabien Vignes-Tourneret Postdoctoral position at Laboratoire de Mathématiques d'Orsay with Nicolas Curien and Jean-François Le Gall Hadamard lecturer at Centre de Mathématiques Appliquées de l'École polytechnique Dr. Carrance specializes in the combinatorial and probabilistic aspects of discrete metric spaces. Her work in dimension 2 focuses on specific families of maps, while in higher dimensions she investigates "colored trisps" and associated tensor models. She has made significant contributions to the understanding of random discrete structures and their continuum limits, with implications for quantum gravity theories. Her research combines deep theoretical insights with computational approaches, including development of mathematical software. Dr. Carrance's publication record demonstrates a consistent progression from foundational work on planar maps and triangulations toward more complex higher-dimensional structures. Her recent work shows increasing sophistication in handling the interplay between combinatorial structures and probabilistic phenomena, with particular attention to asymptotic behaviors and scaling limits. The mathematical tools she employs span from classical combinatorics to advanced probability theory and computational mathematics. Dr. Carrance has collaborated with leading researchers in probability theory including Nicolas Curien, Jean-François Le Gall, and Nathanaël Berestycki. She co-developed the SageMath package dynpuiseux for Puiseux series expansions, demonstrating her commitment to computational approaches in pure mathematics. Her research is supported through postdoctoral fellowships and academic positions at prestigious institutions across Europe. As a member of the probability research group at the University of Vienna, Dr. Carrance contributes to a vibrant mathematical community focused on stochastic processes, random geometry, and their applications. Her work connects with broader efforts to understand the mathematical foundations of quantum gravity through discrete approaches.