جست‌وجوی استاد و پژوهشگر

• Geometric Analysis
• Functional Analysis
• Geometric Measure Theory
• +۴ مورد دیگر

Enrico Pasqualetto is an Academy Research Fellow at the University of Jyväskylä (Finland), specializing in Geometric Analysis, Functional Analysis, and Geometric Measure Theory. His research focuses on Sobolev/BV calculus, RCD spaces (metric measure spaces with synthetic Ricci bounds), and randomly normed modules. He completed his PhD under Giuseppe Savaré at TU Munich and holds degrees from Politecnico di Milano under Sandro Salsa and Luigi Ambrosio. His work includes studies on metric Sobolev spaces, isoperimetric properties, and applications to non-smooth geometry. Pasqualetto collaborates with researchers like Luigi Ambrosio, Nicola Gigli, and Tapio Rajala, contributing to foundational theories in metric measure spaces and their geometric properties.

• Partial Differential Equations
• Fluid Dynamics
• Calculus of Variations
• +۳ مورد دیگر

Maria Colombo is an Assistant Professor at École Polytechnique Fédérale de Lausanne (EPFL). Her research focuses on nonlinear partial differential equations (PDEs), particularly in fluid dynamics, calculus of variations, and optimal transport. She investigates fundamental questions related to existence, uniqueness, and regularity of solutions in contexts such as Euler and Navier-Stokes equations, nonlocal conservation laws, and branched transportation networks. Her work spans theoretical analysis of PDEs, including studies on non-uniqueness phenomena in transport equations, stability of optimal traffic plans, and singular limits of nonlocal models. She also explores geometric aspects of variational problems, such as free boundary regularity and epiperimetric inequalities. Colombo's contributions bridge pure mathematics and applied analysis, addressing challenges in both classical and modern settings like semiclassical limits in quantum mechanics. Her research often involves collaboration with leading mathematicians in PDEs and analysis, resulting in over 50 publications in top-tier journals. While no specific awards are listed, her prolific output reflects recognition in her field. She maintains an active presence in academic communities through conference organization and speaking engagements.

• Optimal Transport
• Partial Differential Equations
• Functional Analysis
• +۳ مورد دیگر

Simone Di Marino is an Associate Professor at the University of Genova, specializing in mathematical analysis and optimal transport. His research focuses on optimal transport theory, partial differential equations, and functional analysis, with contributions to calculus of variations and mathematical physics. Education: PhD in Mathematics (2014) Master's/Undergraduate Degree in Mathematics (2012) Research Interests: Optimal Transport with applications to physics and biology Analysis of PDEs (e.g., Fokker-Planck, Hele-Shaw models) Functional Analysis (Sobolev/BV spaces on metric measure spaces) Geometric Analysis (manifolds, metric geometry) Publications: Recent work includes advances in Wasserstein space algorithms, multi-marginal transport, and semiclassical limits. Key contributions address particle approximation, gradient flows, and convexity properties in quantum systems. Grants/Awards: Supported by the Simons Foundation. No explicit awards listed. Professional Activities: Organized conferences like 'Calculus of Variations and Free Boundary Problems' Co-organizer of workshops on optimal transport and machine learning

Kariane Caltaمشاهده پروفایل

دانشیار

• Number Theory
• Algebra
• Ergodic Theory
• +۳ مورد دیگر

Kariane Calta is an Associate Professor of Mathematics and Statistics at Vassar College, affiliated with the Department of Mathematics and Statistics since 2007. She holds a BA from Williams College and advanced degrees (MS and PhD) from the University of Chicago. Her research focuses on algebra, number theory, ergodic theory, dynamical systems, topology, and algebraic geometry, with notable contributions to continued fractions, lattice surfaces, and synchronization phenomena in dynamical systems. Calta co-organized the Hudson River Undergraduate Mathematics Conference for three years via an NSF grant (with Benjamin Lotto and colleagues). Her work bridges pure mathematics and geometric dynamics, emphasizing interdisciplinary approaches. Her publications analyze ergodic properties, algebraic structures, and geometric surfaces, reflecting a strong theoretical foundation. Beyond research, she contributes to initiatives like the Exploring Transfer program, supporting community college students' transitions to four-year institutions.

Nevzat YILDIRIMمشاهده پروفایل

استاد

• Hydraulic Engineering
• Fluid Mechanics
• Vortex Dynamics
• +۳ مورد دیگر

Prof. Nevzat YILDIRIM is a full-time Professor at Çankaya University's Department of Civil Engineering (since 2016) and previously held professorships at Gazi University (2001-2016) and other institutions. He holds a PhD in Hydraulic Engineering from The University of Iowa (1982), following a MSc from the same university (1978) and a BSc from Istanbul Technical University (1975). His research focuses on hydraulic engineering, particularly intake design, vortex dynamics, and fluid mechanics. He has advised over 14 graduate students on topics like critical submergence analysis and sediment transport. Research interests include optimizing intake systems, analyzing free-surface vortices, and understanding sediment transport mechanisms. His work bridges theoretical fluid dynamics with practical hydraulic engineering solutions. Notable contributions include developing equations for air-core vortex profiles and critical submergence criteria for multi-pipe intakes. Prof. YILDIRIM has over 30 peer-reviewed articles in journals like the KSCE Journal of Civil Engineering and Journal of Hydraulic Engineering . His collaborations with researchers like Kerem Taştan and Fikret Kocabaş highlight interdisciplinary approaches to hydraulic challenges. He has led projects on intake vortex mitigation and sediment impact studies. No specific awards are listed, but his extensive contributions to hydraulic theory and education are evident through his prolific publications and academic leadership roles.

• Computer Vision
• Machine Learning
• Autonomous Driving
• +۳ مورد دیگر

Adrien Gaidon is an Adjunct Professor with a focus on Human-Centered Action Recognition and advanced visual representation learning. His current projects include collaborations with MIT on Physical and Functional Inductive Biases for visual systems, while completed works span Robust Machine Learning and Interaction-Aware Control for autonomous vehicles. Research Trends : His 2025 publications emphasize 3D Scene Understanding , Depth Estimation , and Neural Radiance Fields , alongside innovations in Uncertainty-Aware Perception and Self-Supervised Learning . Key subfields include Autonomous Driving , Robotics , and Geometric Learning for dynamic environments. Advising and Grants : No explicit details about students, teams, or grants were found in the provided text.

Riccardo Caniatoمشاهده پروفایل

پژوهشگر ارشد

• Mathematics
• Geometric Analysis
• Calculus of Variations
• +۳ مورد دیگر

Riccardo Caniato is an Olga Taussky and John Todd Postdoctoral Scholar and Teaching Fellow in Mathematics at the California Institute of Technology (Caltech), affiliated with the Division of Physics, Mathematics, and Astronomy. His research focuses on geometric analysis, partial differential equations, and gauge theory, with particular emphasis on variational problems, singularities of maps, and regularity theory in supercritical dimensions. He investigates harmonic maps, Yang-Mills connections, and calibrated geometries, employing advanced analytical techniques such as log-epiperimetric inequalities and Coulomb gauges. His work bridges differential geometry, functional analysis, and algebraic geometry, addressing questions about uniqueness of tangent cones for holomorphic maps, non-concentration of energy, and closure properties of vector fields with singularities. Caniato’s contributions advance understanding of geometric flows, topological defects, and minimal surface theory in high-dimensional settings. He is based in Linde Hall at Caltech, where he contributes to teaching and research in the Mathematics Department. His research website provides further details on ongoing projects and collaborations.

Giuseppe Savaréمشاهده پروفایل

استاد

• Mathematical Analysis
• Optimal Transport
• Gradient Flows
• +۴ مورد دیگر

Giuseppe Savaré is a Full Professor of Mathematical Analysis at the Department of Mathematics, University of Pavia, and a Hans Fischer Senior Fellow at the Technical University of Munich's Institute for Advanced Study (TUM-IAS) since 2019. His research focuses on variational methods for evolution problems, including gradient flows, rate-independent models, nonlinear PDEs, and optimal transport theory in metric spaces. Education: PhD in Mathematics (1988) from University of Pavia. His work bridges optimal transport, metric measure spaces, and analysis in non-Euclidean geometries, with applications to PDEs, curvature bounds, and generalized gradient flows. Key contributions include foundational studies on Wasserstein gradient flows, entropy-transport problems, and abstract action spaces in dynamical systems. Scientific awards include the prestigious Ennio De Giorgi Prize (2011) and the Gioachino Japichino Prize (1994), alongside an invitation as a speaker at the 7th European Congress of Mathematics (2016). Collaborations with researchers like Massimo Fornasier and Alexander Mielke have advanced consensus-based optimization, multi-agent control, and quantum drift-diffusion models.

• Artificial Intelligence
• Machine Learning
• Cybersecurity
• +۳ مورد دیگر

Md. Ismail Hossain is an active academic researcher with a focus on Artificial Intelligence , Machine Learning , and Cybersecurity . His work spans both theoretical and applied domains, including Neural Network Pruning , Electric Vehicle Charging Systems , and Security Analysis of emerging technologies. Key Research Themes : Neural network optimization, deepfake detection, and energy systems integration Recent Trends : Articles from 2022-2025 show increasing focus on AI model efficiency and security frameworks

Jean-Francois Lafontمشاهده پروفایل

استاد

• Topology
• Differential Geometry
• Geometric Group Theory
• +۳ مورد دیگر

Jean-François Lafont is a Professor in the Department of Mathematics at The Ohio State University. He holds a Ph.D. from the University of Michigan (2002), with postdoctoral research at SUNY Binghamton and OSU. His research focuses on the interplay between topology, differential geometry, geometric group theory, and K-theory, particularly in non-positively curved spaces. He has been recognized with the Alfred P. Sloan Research Fellowship (2008–2012) and named a 2024 Fellow of the American Mathematical Society. Education: Ph.D. in Mathematics, University of Michigan (2002) Research Interests: Geometry and topology of manifolds Geometric group theory Non-positively curved spaces K-theory and algebraic invariants Selected Awards and Grants: Alfred P. Sloan Research Fellowship (2008–2012) NSF Grants: DMS-0606002 (2006–2009), DMS-2109683 (2021–2024), DMS-2407438 (2024–2027) Advising: Former PhD Students: Raeyong Kim (2012), Kyle Joecken (2013), Kun Wang (2014), Shi Wang (2016), etc. Current Students: Hyeran Cho, Matthew Kortje, Pranali Sohini Postdoctoral Advising: Barry Minemyer, Rachel Skipper, Annette Karrer, etc. Editorial Roles: London Mathematical Society Student Texts Expositiones Mathematicae (Associate Editor) Guest Editor for Pure Appl. Math. Q., Geometry & Topology Proceedings Upcoming Events: Speaking at the IMPA conference on hyperbolic manifolds (Jan 2025) Hosting the OSU conference on polyhedral complexes (May 2025)

• Virtual Reality
• Computer Graphics
• Human Perception
• +۳ مورد دیگر

Niall L. Williams is a Faculty Fellow at the New York University Tandon School of Engineering, part of the Immersive Computing Lab led by Prof. Qi Sun. His research focuses on applied human perception in computer graphics, with particular expertise in natural walking algorithms for virtual reality. He holds a PhD in Computer Science from the University of Maryland, College Park (UMD), where he contributed to computational methods for redirected walking. His undergraduate studies at Davidson College included redirected walking threshold research under Prof. Tabitha Peck. Education: PhD in Computer Science, University of Maryland, College Park (2024) B.S. in Computer Science, Davidson College (High Honors, 2019) Research interests span virtual reality navigation, human perception modeling, and haptic/robotic interfaces. Recent work explores multisensory integration in VR environments and environment compatibility metrics for natural walking systems. Notable awards include Best Paper Honorable Mentions at IEEE VR 2022 and IEEE ISMAR/VR 2021. His open-source library PettingZoo (NeurIPS 2021) is widely used in multi-agent reinforcement learning research. Teaching roles include instructing NYU courses on programming and visualization, along with extensive TA experience at UMD and Davidson. He has also contributed to educational outreach through initiatives like Girls Talk Math. Current affiliations include NVIDIA Research internships and collaborations with Meta Reality Labs. His work bridges computer graphics, robotics, and human-computer interaction to improve immersive experience safety and realism.

Martin Kruczenskiمشاهده پروفایل

استاد

• String Theory
• Gauge Theory
• AdS/CFT Correspondence
• +۵ مورد دیگر

Martin Kruczenski is a Professor of Physics and Astronomy at Purdue University, affiliated with the College of Science. He earned his M.Sc. and Ph.D. in Physics from the University of Buenos Aires, Argentina (1998). His research focuses on theoretical high-energy physics, particularly the intersection of string theory, gauge theory, and integrable systems within the AdS/CFT correspondence framework. Research interests span: String/Gauge duality : Emergence of strings from gauge theory in large N limits Holographic methods : Applications to QCD and confining gauge theories Integrability : Exact solutions in AdS spacetimes and connections to spin chains Bootstrap techniques : Non-perturbative constraints on scattering amplitudes Minimal surfaces : Geometric descriptions of Wilson loops His publications demonstrate sustained focus on bootstrap methods applied to gauge theories, holographic complexity, and integrable structures in string theory. Recent work emphasizes computational approaches to strongly coupled systems and quantum criticality. Major scientific awards include: Ruth and Joel Spira Award for Graduate Teaching (2014, 2008) Purdue University Faculty Scholar (2012-2017) NSF Career Award (2010-2015) Alfred P. Sloan Fellowship (2009) He maintains active collaborations with researchers worldwide on integrability and holography projects. Current work explores quantum complexity measures in holographic systems and novel bootstrap constraints on gauge theories.

• Liquid Crystals
• Partial Differential Equations
• Geometric Variational Problems
• +۳ مورد دیگر

Zhiyuan Geng is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on advanced mathematical analysis, particularly in liquid crystals, partial differential equations, geometric variational problems, and materials science. Contact details include his email: geng42@purdue.edu , and office location MATH 409. Research interests span the following key areas: Liquid crystal defect dynamics and stability Phase transitions modeled via Allen-Cahn systems Free boundary problems in materials systems Triple junction configurations and surface tension effects Asymptotic analysis of interfaces and self-similar solutions Mathematical modeling of colloidal interactions in nematic phases Recent publications (2021–2025) emphasize theoretical breakthroughs in understanding complex material systems through PDE analysis and geometric variational principles. His work addresses critical phenomena like eigenframe discontinuities in Q-tensor models, rigidity properties of triple junction solutions, and stability of free boundary flows. These studies highlight interdisciplinary approaches combining pure mathematics with applications in soft condensed matter physics. No scientific awards or grants are explicitly listed in the provided information. He does not currently have documented advisees or students. Laboratory affiliations or collaborative research teams are not indicated in the texts provided.

• Sub-Riemannian Geometry
• Mathematical Analysis
• Neurogeometry
• +۳ مورد دیگر

Giovanna Citti is a Full Professor in the Department of Mathematics at the University of Bologna. Her research focuses on sub-Riemannian geometry, mathematical analysis, and neurogeometry, with a particular emphasis on modeling the functional architecture of the visual and motor cortices. She develops geometric frameworks to understand neural processing in the brain, including models of visual perception and motor control. Her work integrates concepts from differential geometry, partial differential equations (PDEs), and Lie group theory to analyze sub-Riemannian structures. She explores regularity properties of subelliptic PDEs and applies these to biological systems, such as the cortical organization of the visual cortex and motor pathways. Recent efforts include developing brain-inspired neural networks and studying neurogeometric models of stereo vision and 3D perception. Key contributions include sub-Riemannian models of perceptual completion, cortical-based optimal transport frameworks, and analysis of geometric optical illusions. Her research bridges pure mathematics and neuroscience, addressing challenges in both fields through innovative interdisciplinary approaches.

Mohamed Nasserمشاهده پروفایل

استادیار

• Boundary integral equations
• Numerical conformal mappings
• Riemann-Hilbert boundary value problems
• +۴ مورد دیگر

Dr. Mohamed Nasser is an Assistant Professor of Applied and Computational Complex Analysis at the Department of Mathematics, Statistics & Physics, Wichita State University. His research focuses on boundary integral equations, numerical conformal mappings, Riemann-Hilbert boundary value problems, ideal fluid mechanics, and potential theory. Recent work includes computational methods for conformal capacity analysis in complex domains, applications of generalized Neumann kernels, and numerical simulations for Hele-Shaw flows. His publications demonstrate expertise in multiply connected regions, hyperbolic spaces, and polycircular domains. Email: mms.nasser@wichita.edu