Find Academic Supervisors

• String Theory
• Supersymmetric Field Theory
• Differential Geometry
• +3 more

Andrew Neitzke is a Professor of Mathematics at Yale University, where he holds the Kline Tower office (KT 913). His research focuses on the intersection of string theory, supersymmetric field theory, and geometry, with notable contributions to spectral networks, Hitchin systems, and quantum field theory applications. He has taught advanced mathematics courses at both Yale and the University of Texas at Austin, including Vector Analysis, Differential Geometry, and Quantum Field Theory-related topics. His work bridges theoretical physics and pure mathematics, particularly in understanding geometric structures through quantum field theory frameworks. Key contributions include studies on WKB asymptotics, Stokes phenomena, and the interplay between spectral curves and topological strings. He maintains an active role in both research and education, with a prolific publication record in high-impact journals.

Ji Hoon LeeView profile

Professor

• Theoretical Physics
• Quantum Gravity
• String Theory
• +3 more

Dr. Ji Hoon Lee is a Professor in Theoretical Physics at ETH Zürich, affiliated with the Professur für Theoretische Physik. His research focuses on quantum gravity, holography, integrable systems, and gauge-gravity dualities. He explores topics such as AdS/CFT correspondence, string theory vacua, and black hole microstates through advanced mathematical frameworks. His work spans theoretical physics with a strong emphasis on holography, including studies of giant gravitons, D-brane dynamics, and Kondo line defects in affine Gaudin models. Recent publications (2021–2024) highlight contributions to integrable systems, stringy microstate counting, and gravitational brane couplings in AdS3 black holes. Though no explicit awards or grants are listed, his publications indicate active participation in cutting-edge research areas. No student advising details or lab affiliations were provided in the source text.

• Ordinary differential equations
• Exact WKB analysis
• Integrable systems
• +4 more

Kohei Iwaki is an Associate Professor at the Graduate School of Mathematical Sciences, University of Tokyo , focusing on exact WKB analysis, integrable systems, and topological recursion. His research explores singularly perturbed differential equations through the lens of quantum mechanics-inspired methods and Borel summation of divergent series. Research Highlights : Connections between exact WKB analysis, resurgence theory, cluster algebras, and Painlevé equations; global behavior of solutions via Voros coefficients. Scientific Awards : MSJ Takebe Katahiro Prizes 2022 Young Scientists' Award (MEXT) 2024 Membership : Mathematical Society of Japan His publications bridge algebraic structures with asymptotic analysis, advancing the understanding of Stokes phenomena and monodromy problems in integrable systems.

Murad AlimView profile

Associate Professor

• Mathematical Physics
• Theoretical Computer Science
• Topology
• +6 more

Murad Alim is an Associate Professor at Heriot-Watt University's School of Mathematical & Computer Sciences, Department of Mathematics. His research focuses on the intersection of mathematical physics and theoretical computer science, particularly in areas such as topology, string theory, and quantum mechanics. Top Research Topics: Topology (100%), String Theory (100%), Quantum Curves, BPS Structures, Resurgence Theory, Special Geometry His recent work explores non-perturbative phenomena in topological strings, quantum curves, and exact WKB methods, with applications to BPS structures and attractor flows. He actively supervises PhD students and contributes to advancements in geometric and algebraic frameworks for quantum field theories. Selected Trends: The articles highlight a focus on duality in quantum systems, resurgence techniques for non-perturbative effects, and geometric interpretations of BPS states. Collaborations with researchers like D. Bryan, L. Hollands, and J. Teschner demonstrate interdisciplinary engagement.

Elba Garcia FaildeView profile

Researcher

• topological recursion
• moduli space of curves
• combinatorial maps
• +6 more

Elba Garcia Failde is a Ramón y Cajal researcher at the Department of Mathematics , Universitat Politècnica de Catalunya (UPC), since July 2025. She is currently on leave from her position as associate professor (maîtresse de conférence) at the Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG) of Sorbonne Université, where she was affiliated with the Topologie et Géométrie Algébriques (TGA) group. Her research spans pure and applied mathematics, with a focus on interdisciplinary connections. Research interests : Topological recursion (TR) and its geometric implications Moduli spaces of curves and combinatorial maps Integrable systems and resurgence theory Free probability, matrix integrals, and exact WKB methods Applications to modular forms and algebraic topology Interdisciplinary interactions between mathematical fields Scientific awards and grants : Hadamard fellowship (postdoctoral research at IPhT and IHES) ERC CombiTop grant (Université de Paris, under Guillaume Chapuy) Her current projects explore the geometry of topological recursion, dualities in mathematical structures, and connections between graph theory and moduli spaces, including large-genus asymptotics and non-orientable extensions.

Rodica CostinView profile

Professor

• Differential Equations
• Partial Differential Equations
• Orthogonal Polynomials
• +4 more

Rodica Costin is a Professor in the Department of Mathematics at The Ohio State University, part of the College of Arts and Sciences. She holds a PhD from Rutgers University (1997). Her research focuses on differential and partial differential equations, asymptotic analysis, and orthogonal polynomials, with applications in mathematical physics and quantum systems. Her work explores topics such as Hamiltonian systems, nonlinear dynamics, and time-dependent Schrödinger equations modeling photoemission and ionization processes. Recent research also addresses spherical harmonic expansions, Painlevé equations, and the convergence properties of series solutions in mathematical analysis. Dr. Costin’s publications span over three decades, with notable contributions to exact and asymptotic solutions of quantum systems, spectral theory, and nonlinear differential equations. Her methodologies include rigorous WKB techniques, Hadamard finite-part integrals, and multiple orthogonal polynomials. While no student advisees are listed in available records, her research has implications for condensed matter physics, laser-matter interactions, and celestial mechanics.

Juan Domingo Lejarreta GonzalezView profile

Professor

• Condensed Matter Physics
• Quantum Physics
• Graphene Research
• +3 more

Juan Domingo Lejarreta Gonzalez is a Professor at the Department of Applied Physics, University of Salamanca, where he teaches physics for engineers and conducts research in theoretical and applied physics. He earned his Ph.D. in Physics from the University of Salamanca in 1996. His research focuses on symmetry analysis in physical systems, nonlinear dynamics, and the application of these principles to graphene-based nanodevices and condensed matter physics. He has authored numerous publications on topics such as quantum transport in graphene, symmetry reduction techniques, and integrable systems. His work bridges fundamental theoretical insights with practical applications in nanotechnology. Research Interests: Analysis and reduction of symmetries in physical systems Quantum transport in 2D materials (graphene and related systems) Nonlinear wave models and integrable hierarchies Graphene nanostructures and electronic nanodevices Quantum phenomena in confined systems Publications Trends: His work spans over two decades, with recent contributions focusing on graphene's quantum properties and symmetry-based approaches to solve complex systems. Earlier research emphasized foundational studies in quantum mechanics and nonlinear dynamics, including laser-atom interactions and Floquet analysis. Awards and Grants: No specific awards or grants are mentioned in the provided text. Advising and Collaborations: While no advisees are listed, his research often involves collaborations with colleagues such as P.G. Estévez, C. Sardón, and F. Domínguez-Adame, reflecting a strong collaborative approach to theoretical physics. Labs and Teams: His research is embedded within the Department of Applied Physics at the University of Salamanca, leveraging computational and theoretical tools to explore quantum and nonlinear systems.

• Gravitational Physics
• Mathematical Physics
• Quantum Field Theory
• +3 more

Vincent Moncrief holds dual professorships in the Department of Physics and the Department of Mathematics at Yale University. His research focuses on gravitational physics, mathematical relativity, and quantum field theories. He is renowned for analyzing global properties of Einstein equation solutions to support Penrose’s cosmic censorship conjecture, employing methods like light-cone and higher-order-energy estimates. He also develops Euclidean-signature semi-classical methods to address quantum field theories without decomposing systems into perturbations. Education: B.S. in Physics from Stanford University (1965), Ph.D. in Physics and Astronomy from the University of Maryland (1972). Moncrief’s research integrates geometric approaches to general relativity and quantum cosmology, emphasizing non-Abelian gauge invariance and nonlinear systems. His work bridges mathematical rigor with physical applications, such as exploring exotic universe topologies and mass generation mechanisms in quantum gauge theories. Selected publications highlight his contributions to Cauchy horizons, quantum gauge theory curvature effects, and semi-classical methods in cosmology. His methodologies extend beyond conventional perturbation theory, maintaining system integrity through advanced geometric techniques.

Pietro LonghiView profile

Associate Professor

• Mathematical Physics
• Spectral Networks
• String Theory
• +2 more

Pietro Longhi is Senior Lecturer/Associate Professor at Uppsala University's Centre for Geometry and Physics, with cross-appointments in Theoretical Physics. His research bridges mathematics and theoretical physics. Research Focus: Investigates non-perturbative dynamics in supersymmetric quantum field theories through spectral networks, wall-crossing phenomena, and homological mirror symmetry. Publications: Develops mathematical frameworks for BPS spectra analysis, knot invariants, and quantum integrable systems using geometric and topological methods.

• Quantum Field Theory
• String Theory
• Geometry
• +3 more

Lotte Hollands is a Professor of Mathematics at Heriot-Watt University, part of the School of Mathematical & Computer Sciences. She holds a permanent position in the Department of Mathematics and has held prestigious fellowships, including the Rubicon Fellowship at Caltech (2009–2013) and the Royal Society Dorothy Hodgkin Fellowship at the University of Oxford (2013–2016). She earned her PhD in 2009 from the University of Amsterdam under Prof. Robbert Dijkgraaf. Her research bridges quantum physics and mathematics, focusing on supersymmetric quantum field theories, string theory, and their connections to geometry, topology, and algebra. She is actively involved in academic leadership roles, including membership of the Executive Team of the Centre for Doctoral Training in Algebra, Geometry and Quantum Fields (AGQ CDT), and co-initiated the Geometry and Representation Theory in Field Theory (GRIFT) group. She currently supervises two PhD students and has contributed to over 17 research outputs. Key awards include the Rubicon Fellowship and Royal Society Dorothy Hodgkin Fellowship. Her work explores topics like quantum curves, BPS states, and exact WKB analysis, often leveraging spectral networks and Hitchin systems. She collaborates internationally and maintains ties with institutions like the University of Oxford and Caltech.