Find Academic Supervisors

Christopher PopeView profile

Professor

• Theoretical High-Energy Particle Physics
• Quantum Gravity
• Superstring Theories
• +4 more

Christopher N. Pope is a Professor in the Department of Physics at Texas A&M University, holding the Distinguished Stephen Hawking Chair in Fundamental Physics. He is affiliated with the George P. & Cynthia W. Mitchell Institute for Fundamental Physics & Astronomy. Pope earned his BA (1975) and PhD (1980) from the University of Cambridge, with postdoctoral work at Imperial College London before joining Texas A&M in 1988. His research focuses on theoretical high-energy physics, including quantum gravity, superstring theories, general relativity, and applications of differential geometry. Notable contributions include studies on black hole thermodynamics, higher-dimensional spacetimes, and Einstein-Sasaki metrics. He has co-authored over 200 publications, including seminal works on rotating black holes in anti-de Sitter spacetimes and critical gravity theories. Pope’s teaching spans advanced topics in gravitation, electromagnetism, and mathematical methods. Courses include 'Gravitational Physics' (PHYS 647) and 'Electromagnetic Theory' series. His work bridges fundamental theory with geometric insights, influencing string theory and holography.

• Applied Mathematics
• Data Science
• Partial Differential Equations
• +7 more

Dejan Slepčev is a Professor and Associate Dean for Faculty and Graduate Affairs at the Mellon College of Science, Department of Mathematical Sciences, Carnegie Mellon University. His research focuses on applied analysis, with applications to data science, collective behavior of particle systems, and energy-driven systems. He holds a Ph.D. from the University of Texas at Austin. His research interests include partial differential equations, calculus of variations, optimal transportation, and their applications to machine learning tasks such as clustering and classification. He develops mathematical frameworks for analyzing variational and PDE-based problems on random data samples, improving algorithms for data science. He also studies systems of interacting particles, particularly those modeling collective behavior in biological and physical systems, and energy-driven systems involving pattern formation and interface evolution. His work bridges theoretical analysis and computational methods, addressing challenges in data analysis, image processing, and the dynamics of complex systems. Key contributions include studies on spectral clustering, graph-based semi-supervised learning, and the continuum limits of discrete variational problems. Education: Ph.D., University of Texas at Austin.

Brian WilliamsView profile

Assistant Professor

• Quantum Field Theory
• String Theory
• Algebraic Geometry
• +4 more

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.

• Stochastic Partial Differential Equations
• Mathematical Finance
• Fluid Dynamics
• +2 more

Dr. Nimit Rana is a Lecturer in the Department of Mathematics at the University of York. He holds an MSc in Mathematical Finance from IISER TVM, India, and a PhD in Stochastic Geometric Partial Differential Equations from the University of York. Prior to his current position, he worked as a research associate at Universität Bielefeld, Germany, and Imperial College London, UK. His research focuses on classical and singular stochastic geometric partial differential equations (SPDEs) with applications in mathematical physics and fluid dynamics. He investigates local and global temporal behavior of solutions to SPDEs and extends asset pricing models using stochastic analysis and machine learning to create robust financial frameworks aligned with empirical observations. Rana's publications show strong emphasis on stochastic methods across mathematical finance and physics, with consistent application of advanced mathematical techniques to model complex physical and financial systems. His recent awards include competitive fellowships from the London Mathematical Society supporting international research collaborations.

Tom BradenView profile

Professor

• Algebraic Geometry
• Algebraic Topology
• Combinatorics
• +3 more

Tom Braden is a Professor and Director of the Graduate Program in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. His research focuses on the topology of singular algebraic varieties, particularly those with combinatorial structures such as toric and Schubert varieties. He employs intersection cohomology and other topological invariants to explore connections between algebraic geometry and combinatorics. Braden holds a Ph.D. from the Massachusetts Institute of Technology (1995), a Cambridge University Part III Mathematics Tripos (1991), and a B.A. from the University of Chicago (1990). His research interests include algebraic topology and geometry, with an emphasis on singular varieties, intersection cohomology, and perverse sheaves. He investigates Schubert and toric varieties, symplectic resolutions, and their combinatorial applications. His work often bridges algebraic geometry, representation theory, and combinatorics, leveraging equivariant methods to uncover deeper structural relationships. Braden's recent publications explore foundational questions in algebraic geometry and topology, including the Dowling-Wilson conjecture, intersection cohomology of matroids, and quantizations of symplectic resolutions. His work often combines geometric and combinatorial techniques, with notable contributions to hypertoric varieties, perverse sheaves, and category O structures. Braden actively collaborates with researchers in algebraic geometry and combinatorics. While specific advising details are not provided, his research group likely focuses on interdisciplinary projects at the intersection of topology and combinatorics. Grants and funding sources are not detailed in the provided texts.

• Quantum Information
• Functional Analysis
• Operator Algebras
• +3 more

Li Gao is a Professor at the School of Mathematics and Statistics, Wuhan University. His research bridges functional analysis and quantum information, with a focus on operator algebras and noncommutative analysis. Previously, he held positions at the University of Houston (tenure-track assistant professor, 2021–2023), Technical University of Munich (postdoc, 2021), and Texas A&M University (postdoc, 2018–2020). He earned his Ph.D. in Mathematics from the University of Illinois at Urbana-Champaign (2018) and a Bachelor's degree from Wuhan University (2012). His research explores quantum entanglement, quantum algorithms, and entropy inequalities in quantum systems. He actively organizes seminars like the Yangtze Analysis Seminar (2025), East Lake Quantum Seminar (2024), and undergraduate Quantum Information Seminars. Recent teaching includes Functional Analysis (Spring 2025) and Linear Algebra A. Key research themes include logarithmic Sobolev inequalities, quantum channel properties, and the interplay between noncommutative geometry and quantum information. His work addresses foundational questions in quantum computing, such as Shor's algorithm and Bell inequality violations, as seen in student-led seminar discussions on topics like quantum entanglement and Heisenberg uncertainty principles. Advising includes mentoring postdocs and Ph.D. students in interdisciplinary projects. He collaborates across departments like the Li Yinan School of Artificial Intelligence and Guanglin School of Mathematics. Current initiatives focus on quantum machine learning and cutting-edge quantum communication protocols.

Xionan MaView profile

Professor

• Topology
• Differential Geometry
• Index Theory
• +2 more

Xionan Ma is a Professor of Mathematics at Université Paris Diderot-Paris 7 and a member of the Global Faculty at the University of Cologne. His research focuses on Topology and Differential Geometry, particularly in Index Theory and Global Analysis on Manifolds. He has made significant contributions to the study of analytic and differential-topological properties of eta-invariants, Ray-Singer analytic torsion, elliptic genera, Bergman kernels, and geometric quantization, which are central to the mathematical component of the University of Cologne's Key Profile Area III (Quantum Matter and Materials). Bachelor's degree from Wuhan University (1993) PhD and Habilitation in Mathematics from University of Paris-Sud (Orsay) Former positions at Humboldt Universität zu Berlin and University of California, Santa Cruz Charge de recherche at CNRS (2001-2007) His work bridges deep mathematical analysis with applications in quantum computing and materials science, supported by collaborations in the ML4Q Cluster of Excellence at the University of Cologne. Scientific Awards: Ferran Sunyer i Balaguer Prize (2006) for the book "Holomorphic Morse inequalities and Bergman kernels" Junior Member of Institut Universitaire de France (2009) Invited lecture at International Congress of Mathematicians (2010)

Melanie RupflinView profile

Professor

• Nonlinear Partial Differential Equations
• Geometric Analysis
• Harmonic Maps
• +3 more

Prof. Melanie Rupflin is a Professor of Mathematics at the University of Oxford's Mathematical Institute, based in the Andrew Wiles Building. Her research focuses on nonlinear partial differential equations (PDEs) and geometric variational problems, particularly harmonic maps and geometric flows such as the Teichmüller harmonic map flow. She develops quantitative theories to analyze singularity formation, energy concentration, and gradient flow dynamics. Her work emphasizes precise control over geometric evolution processes and their asymptotic behavior. She collaborates extensively with Peter Topping and others, producing influential papers on topics like bubble tree convergence, Lojasiewicz inequalities, and geometric PDEs on surfaces. Rupflin also teaches advanced courses such as Part A Differential Equations and Part B Functional Analysis 2, with lecture materials available via the Oxford Mathematics YouTube channel. Her research addresses fundamental questions in geometric analysis, including the existence and uniqueness of weak solutions, energy quantization, and the interplay between topology and PDE dynamics. Current projects explore refined asymptotics of geometric flows and boundary value problems in hyperbolic geometry.

• Theoretical Physics
• Mathematical Physics
• General Relativity
• +3 more

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.

Huy The NguyenView profile

Associate Professor

• Geometric Analysis
• Geometric Flows
• Differential Geometry
• +3 more

Dr. Huy The Nguyen is a Reader in Mathematics at Queen Mary University of London, specializing in geometric analysis, particularly geometric flows such as Ricci flow, mean curvature flow, and Willmore surfaces, alongside partial differential equations like the Allen-Cahn and Ginzburg-Landau equations. He holds a PhD from the Australian National University (2008) and has held positions at the Max Planck Society, University of Warwick, and University of Queensland before joining Queen Mary in 2017. His research explores geometric flows' dynamics and phase transitions, with notable grants including the EPSRC-funded 'Geometric Flows and the Dynamics of Phase Transitions' (2023–2026) and a prior EPSRC grant on mean curvature flow applications (2019–2022). He organizes the QMUL Geometry and Analysis Seminar and co-leads a geometric analysis seminar for early-stage PhD students. Research interests include conformal immersions, Willmore surfaces, and PDEs' connections to differential geometry. Notable supervision includes Florian Litzinger. No scientific awards are explicitly listed, but his work has been published in top journals like Communications in Analysis and Geometry and Mathematische Annalen .

Yuzhe TianView profile

Part-Time Lecturer

• Anomaly Detection
• Industrial Internet of Things (IIoT)
• Sleep Analysis
• +5 more

Yuzhe Tian is a Part-Time Lecturer at the School of Computing, Macquarie University, within the Faculty of Science and Engineering. His research focuses on interdisciplinary applications of machine learning, including anomaly detection in industrial IoT systems, sleep stage recognition via graph networks, and brain-computer interface (BCI) technologies. He holds a Doctor of Philosophy and has published extensively in top-tier conferences and journals since 2019. Research interests include real-time BCI systems using geometric learning, optimization of neural networks (e.g., model pruning and quantization), and healthcare applications like sleep analysis through graph attention networks. His work bridges computational methods with practical challenges in biomedical engineering and industrial automation. Yuzhe has collaborated on projects leveraging multi-view learning for anomaly detection and swarm intelligence algorithms (e.g., Krill Herd Algorithm). His publications span topics from lightweight BCI frameworks to cybersecurity in IIoT environments, demonstrating a strong focus on both theoretical advancements and real-world implementation.

• Complex Geometry
• Algebraic Geometry
• Differential Geometry
• +3 more

David Witt Nyström is a Professor at the University of Gothenburg’s Department of Algebra and Geometry. His research focuses on complex geometry, particularly Okounkov bodies, Kähler manifolds, Monge-Ampère equations, and geometric analysis. He has made significant contributions to the study of Fekete points, Hele-Shaw flows, and embeddings of Kähler balls. Key research areas include algebraic geometry, differential geometry, and mathematical analysis. His work bridges convex geometry with complex analysis, addressing topics like Brunn-Minkowski theorems, Monge-Ampère mass distributions, and coupled Kähler-Einstein metrics. Recent publications explore harmonic interpolation, duality between pseudoeffective and movable cones, and geometric flows. Publications span advanced topics such as convex subequations, non-pluripolar energy, and analytic test configurations. Despite prolific output, no specific scientific awards or grants are explicitly mentioned. No advising or lab affiliations are noted in the provided text.

• Algebraic Geometry
• Topology
• Representation Theory
• +7 more

Prof. Balázs Szendroi is a University Professor in Algebraic Geometry at the University of Vienna's Faculty of Mathematics, Department of Mathematics. His research focuses on algebraic geometry, topology, representation theory, and combinatorics, with significant contributions to Calabi-Yau manifolds, Hilbert schemes, and geometric structures. He organizes international workshops including the Austria-Uganda collaboration series and leads projects to develop mathematics in East Africa. Affiliations: University of Vienna (current), former roles at University of Oxford and other institutions Teaching includes advanced courses on algebraic geometry, commutative algebra, and group theory Active in academic outreach: coordinating the Vienna African Mathematics Scholarships and mentoring over 40 students/postdocs Key collaborations include projects with institutions in Uganda, Kenya, Rwanda, and South Africa Research interests span algebraic geometry's pure and applied facets, including symmetries in Islamic art, representation theory, and geometric invariant theory. He co-authored the textbook Geometry and Topology with Miles Reid.

• Differential Geometry
• Geometric Topology
• Classical Field Theories
• +3 more

Modesto Ramon Salgado Seco is a Professor in the Department of Mathematics at the University of Santiago de Compostela's Faculty of Mathematics. He is affiliated with the Galician Mathematical Research and Technology Center (CITMAga) and specializes in Geometry and Topology, particularly Differential Geometry and k-Symplectic Field Theories. He earned his doctorate from USC in 1984 with a thesis on differential geometry under the supervision of Dr. Manuel de Leon. His research focuses on differential geometric structures applied to classical field theories, with expertise in k-symplectic manifolds, Lagrangian mechanics, and geometric approaches to field equations. Primary research areas include: Symplectic and polysymplectic manifold reduction techniques Hamilton-Jacobi theory in field contexts Nonholonomic constraint systems Symmetry analysis in Lagrangian formalisms Geometric structures in higher-order tangent bundles His publications demonstrate consistent focus on geometric methods in mathematical physics, particularly developing formal frameworks for field theories using symplectic geometry. Recent work (2010-2016) emphasizes k-symplectic and k-cosymplectic approaches to field equations, constraint systems, and reduction theory, while earlier foundational work established geometric structures for higher-order tangent manifolds.

Rupak ChatterjeeView profile

Assistant Professor

• Quantum Information and Computation
• Quantum Machine Learning
• Quantum Optimization
• +4 more

Rupak Chatterjee is an Industry Assistant Professor in the Department of Applied Physics at New York University's Tandon School of Engineering. His research bridges quantum information/computation and mathematical physics, with a focus on quantum algorithms for machine learning, optimization, operator algebras, and quantum mechanical systems. Education: Postdoctoral Scholar, Physics (James Franck Institute, University of Chicago) Ph.D. & M.S., Physics (Stony Brook University) M.Math., Mathematics (University of Waterloo) B.Sc., Physics (University of Calgary) Chatterjee's research explores quantum systems for machine learning, quantum optimization protocols, and mathematical frameworks like C∗-algebras and supersymmetric quantum mechanics. His work integrates theoretical rigor with applications in quantum computing and complex physical systems. His recent publications (2019–2024) demonstrate a strong emphasis on quantum entanglement, chaos in optomechanical systems, adiabatic quantum optimization, and relativistic quantum mechanics. Several publications also apply quantum methods to finance and diffusion modeling. No awards, student advising, or grant information is documented in the provided text.