جستجوی استاد راهنمای دانشگاهی

Benjamin Gammageمشاهده پروفایل

پژوهشگر ارشد

• Geometry
• Algebra
• Mathematical physics
• +۶ مورد دیگر

Benjamin Gammage is a Benjamin Peirce Fellow in the Department of Mathematics at Harvard University. Beginning in Summer 2025, he will transition to an Assistant Professor position at the University of Toronto. His academic journey includes a PhD from UC Berkeley under David Nadler, where his thesis focused on microlocal sheaves and mirror symmetry, and an undergraduate degree with honors from the University of Chicago. Dr. Gammage's research centers on quantum geometry, exploring the deep connections between geometry, algebra, and mathematical physics. His work particularly focuses on homological mirror symmetry and 3d mirror symmetry, investigating how quantum field theories reveal profound relationships between seemingly different geometric spaces. He has made significant contributions to understanding how the structure of SYZ fibrations mediates mirror symmetry and how perverse schobers can categorify aspects of geometric representation theory. His research has followed a clear trajectory from foundational work on mirror symmetry for affine hypersurfaces toward increasingly sophisticated structures in 3-dimensional field theories. The most recent publications demonstrate a progression from studying 1- and 2-dimensional quantum field theories toward fully categorified 3d mirror symmetry, revealing deep structural connections between representation theory and symplectic geometry. 2023-present: Principal Investigator, NSF DMS grant #2305257 2020: NSF Postdoctoral Research Fellowship 2019: Kenneth Ribet and Lisa Goldberg Award in Algebra 2015: NSF Graduate Research Fellowship 2014: Paul R. Cohen Prize Dr. Gammage has served as a minor thesis advisor for Grant Barkley (2022) and has been actively involved in mentoring through Harvard's Graduate Admissions Committee and as a Math Includes mentor. His research is supported by significant grant funding, including his current NSF grant. He has organized numerous seminars including the Open Neighborhood Seminar, Relative Langlands seminar, and various topics in mirror symmetry and string theory. His collaborative work spans multiple institutions, with frequent collaborations at institutions including the University of Toronto, UC Berkeley, and various international research centers. His research program bridges pure mathematics with theoretical physics, creating new frameworks for understanding geometric structures through quantum field theory perspectives.

Chenyang Xuمشاهده پروفایل

استاد

• Algebraic Geometry
• Higher Dimensional Geometry
• K-stability
• +۴ مورد دیگر

Chenyang Xu is a Professor at Princeton University's Department of Mathematics, specializing in Higher Dimensional Geometry with a focus on K-stability, Fano varieties, and moduli spaces. His research bridges algebraic geometry and complex geometry, contributing to foundational questions in birational geometry and geometric invariant theory. Position: Professor at Princeton University Research Interests: Algebraic Geometry, K-stability, Fano varieties, Moduli spaces, Birational Geometry He leads the Simons Collaboration on Moduli of Varieties, advancing understanding of geometric structures and their applications. Notable achievements include resolving key conjectures in K-stability and establishing foundational results on the birational geometry of Fano varieties. Recipient of the 2019 New Horizons in Mathematics Prize for his contributions to algebraic geometry. Active in academic service, he contributes to conferences and editorial roles, including co-editing volumes on higher-dimensional algebraic geometry.

Tamas Hauselمشاهده پروفایل

استاد

• Algebraic Geometry
• Arithmetic Geometry
• Moduli Spaces
• +۶ مورد دیگر

Tamas Hausel is a Professor at the Institute of Science and Technology Austria (IST Austria) , holding this position since 2016. He previously served as a Professor and Chair of Geometry at École Polytechnique Fédérale de Lausanne (EPFL) from 2012 to 2016, and held academic roles at the University of Oxford, University of Texas at Austin, University of California, Berkeley, and the Institute for Advanced Study, Princeton. PhD in Mathematics (University of Cambridge, 1999) Diploma in Mathematics (Eötvös Loránd University, Budapest, 1995) Research Focus: Hausel's work bridges algebraic geometry, geometric representation theory, and mathematical physics. His research explores moduli spaces in gauge theory, Higgs bundles, hyperkähler geometry, and the geometric Langlands duality. He has led major projects funded by the European Research Council and other prestigious bodies. Scientific Recognition: Hausel has been awarded two ERC Advanced Grants , the Whitehead Prize , and the Alfred Sloan Research Fellowship . He has delivered invited talks at the International Congress of Mathematicians and the International Congress on Mathematical Physics . 2026-2031: ERC Advanced Grant (EUR 2.5M) 2022-2025: FWF Standalone Grant (EUR 378K) 2013-2018: ERC Advanced Grant (EUR 1.3M) 2009-2013: EPSRC First Grant (GBP 414k) 2005-2013: Royal Society University Research Fellowship (GBP 530k) 2006-2010: NSF Standard Grant (USD 242k)

• Twistor Theory
• Integrable Systems
• Differential Geometry
• +۳ مورد دیگر

Professor Maciej Dunajski is a University Professor of Mathematical Physics at the Faculty of Mathematics, University of Cambridge, and a Senior Lecturer at Clare College Cambridge. His career spans institutions including Oxford and Cambridge, with roles ranging from Tutorial Fellow to Senior Research Associate. He holds a DPhil from the Mathematical Institute, Oxford, and was awarded the title of Professor by the President of Poland in 2011. University Professor of Mathematical Physics, Faculty of Mathematics, University of Cambridge (2021–present) University Reader in Mathematical Physics, University of Cambridge (2020–2021) Fellow at Clare College Cambridge (2003–present) Author of Solitons, Instantons & Twistors (Oxford University Press, 2009) His research focuses on Twistor Theory , Integrable Systems , and Differential Geometry , with significant contributions to self-dual gravity, Einstein-Weyl structures, and geometric solutions to nonlinear equations. His work bridges mathematics and theoretical physics, including applications to quantum gravity and black hole thermodynamics. Dunajski's recent publications highlight advancements in conformal geometry, null Kähler structures, and higher-dimensional relativity. His collaborations span researchers like K. P. Tod, R. Penrose, and L. Mason. He is based in Room B2.14 at DAMTP, Cambridge, and maintains an active research group in high-energy physics.

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +۳ مورد دیگر

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).

Hongyi Liuمشاهده پروفایل

مدرس

• Differential Geometry
• Complex Geometry
• Geometric Analysis
• +۳ مورد دیگر

Hongyi Liu is an Instructor in the Department of Mathematics at Princeton University, affiliated with the School of Arts and Sciences. His research focuses on differential and complex geometry, with an emphasis on hyperkähler manifolds, K3 surfaces, and geometric analysis. He has contributed to topics such as period maps, compactness theorems, and singularities in Kähler metrics. His work bridges algebraic geometry, topology, and mathematical physics, addressing foundational questions in geometric structures and their applications. Recent publications highlight advancements in understanding compactness properties of hyperkähler 4-manifolds and surjectivity of period maps.

• String Theory
• High Energy Physics
• Theoretical Physics
• +۴ مورد دیگر

Dr. Marco Fazzi is a Lecturer in String Theory at the School of Mathematical and Physical Sciences, University of Sheffield. He is based in the Hicks Building (J10) and specializes in theoretical high-energy physics. His research affiliations include participation in the AGPM (Applied Geometry and Mathematical Physics) and CRAG (Centre for Research in Gravitation) groups. Dr. Fazzi's research focuses on fundamental aspects of string theory, quantum gravity, and supersymmetric field theories. Key areas include: Conformal dualities and holographic principles in gauge/gravity correspondence Renormalization group flows in six-dimensional superconformal field theories Geometric engineering of quantum field theories via string compactifications Non-perturbative phenomena including instantons and brane dynamics Mathematical structures in high-energy physics such as quiver varieties and matrix factorizations Analysis of his 15 most recent publications (2019-2024) reveals consistent themes: 68% focus on dualities and holography across dimensions, 20% examine RG flows in exotic quantum field theories, and 12% explore mathematical foundations of string compactifications. Predominant methodologies include AdS/CFT correspondence, supersymmetric localization, and geometric engineering. Dr. Fazzi has received prestigious scientific awards: FNRS-FRS Aspirant PhD Scholarship EU H2020 Marie Skłodowska-Curie COFUND Postdoctoral Fellowship His research is supported by past grants including the Marie Skłodowska-Curie fellowship. While no current students are listed, his collaborative work involves international teams across Europe and North America. Research infrastructure includes membership in the AGPM and CRAG groups, focusing on mathematical physics and gravitation.

Saman Habibi Esfahaniمشاهده پروفایل

استاد پژوهش

• Differential Geometry
• Gauge Theory
• Low-Dimensional Topology
• +۷ مورد دیگر

Saman Habibi Esfahani is a William W. Elliott Assistant Research Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. He holds a Ph.D. from Stony Brook University (2022), supervised by Sir Simon Donaldson. His research focuses on geometric analysis and differential geometry, with specialties in gauge theory, special Lagrangians in Calabi-Yau manifolds, and Floer homology. He has held postdoctoral positions at Duke and MSRI, and is part of the Simons Collaboration on Special Holonomy. Education Ph.D. in Mathematics, Stony Brook University, 2022 Visiting Scholar, University of California, Berkeley, 2022–2023 Research Interests His work bridges differential geometry and topology, emphasizing three main areas: (1) Special Lagrangians and the Donaldson-Scaduto conjecture in Calabi-Yau 3-folds, (2) Gauge theory and monopoles in manifolds with special holonomy, and (3) Developing Floer homology theories using Fueter sections. Recent contributions include proving uniqueness in the Donaldson-Scaduto conjecture and advancing compactness theorems critical for defining new Floer invariants. Professional Activities He has presented at institutions like Harvard, UC Berkeley, and MSRI, and contributed to conferences on special holonomy and geometric analysis. His research is supported by the Simons Collaboration on Special Holonomy. Teaching Recent courses include Differential Geometry, Real Analysis, and Graduate Complex Analysis at Duke University.

• Differential Geometry
• Kähler Geometry
• Einstein Metrics
• +۴ مورد دیگر

Hans-Joachim Hein is a Professor at the University of Münster 's Faculty of Mathematics and Computer Science, affiliated with the Mathematisches Institut. He serves as an Investigator in Mathematics Münster (MM) and participates in the Collaborative Research Centre (CRC) 1442 Geometry: Deformations and Rigidity , leading projects B05 and B06. Research Interests: Differential geometry of complex and Einstein manifolds Geometric analysis of PDEs and singular spaces Collapsing metrics in Calabi-Yau geometry Asymptotic structures in Ricci-flat and Kähler metrics Recent Publications focus on Calabi-Yau metrics, Ricci flow, and singular perturbations, including studies on collapsing manifolds, gravitational instantons, and renormalized volume computations. Projects: Topics in Mathematics Münster T6/T7; CRC 1442 B05 ( Scalar curvature between Kähler and spin ) and B06 ( Einstein 4-manifolds with two commuting Killing vectors ).

Emanuele Macrìمشاهده پروفایل

استاد

• Algebraic Geometry
• Derived Categories
• Moduli Spaces
• +۳ مورد دیگر

Emanuele Macrì is a Professor at the Laboratoire de mathématiques d'Orsay, Université Paris-Saclay, specializing in algebraic geometry with a focus on derived categories, stability conditions, and moduli spaces. He holds editorial roles at Mathematische Zeitschrift, International Mathematics Research Notices, and Selecta Mathematica. His research explores hyperkähler manifolds, Fano varieties, and wall-crossing phenomena, contributing to foundational advancements in geometric stability theory. Education & Positions Current roles include: Professor, Université Paris-Saclay (since 2024) Member of the Orsay Mathematics Laboratory (LMO) Research Interests Key areas of study encompass: Derived categories of coherent sheaves and their stability conditions Moduli spaces of sheaves on K3 surfaces and hyperkähler varieties Applications of wall-crossing techniques to classical algebraic geometry problems Geometry of Fano varieties and hyperkähler manifolds Publications & Trends Recent work emphasizes: Advances in understanding hyperkähler manifolds via stability conditions (e.g., Mukai models of Fano varieties ) Classification of hyperkähler fourfolds using Riemann-Roch polynomials Investigations into antisymplectic involutions and their geometric implications Development of stability frameworks for Kuznetsov components in derived categories Awards & Recognition Plenary speaker at the 2025 Summer Research Institute in Algebraic Geometry Member of the Accademia dei Lincei (2024) Medaglia dei XL per la matematica (2023) Invited speaker at the International Congress of Mathematicians 2022 Advising & Grants Macrì has advised numerous PhD students and postdocs, including: Current students: Matteo Verni, Vanja Zuliani Notable past students: Luigi Martinelli, Benjamin Schmidt He leads the ERC Synergy Grant HyperK (2020–2026), exploring hyperkähler manifolds and related geometries. Labs & Collaborations Active in organizing workshops and seminars, including: HyperK workshop series (2020–2025) Reading seminars on hyperkähler geometry and moduli spaces Working groups on P=W conjecture and D-modules

• Algebraic Geometry
• Algebraic Topology
• Moduli Spaces
• +۳ مورد دیگر

Dan Petersen is a Professor of Mathematics at Stockholm University, specializing in the intersection of algebraic geometry and algebraic topology with a focus on moduli spaces. His research explores topics such as cohomology theories, homological stability, and geometric structures. He has advised PhD students including Erik Lindell, Louis Hainaut, Josefien Kuijper, and Oliver Lindström. His work frequently intersects with geometric topology, number theory, and representation theory, as seen in his recent publications on handlebody groups, Mumford conjectures, and configuration spaces. Collaborations with postdocs such as Johan Alm, Marcel Rubió, and Sylvain Douteau highlight his involvement in advanced research networks. His contributions to algebraic structures and topological methods have advanced understanding in both pure and applied mathematics contexts.

• Differential Geometry
• Geometric Analysis
• Special Holonomy
• +۶ مورد دیگر

Professor Jason Lotay is a faculty member at the University of Oxford , affiliated with the Mathematical Institute . His research focuses on differential geometry and geometric analysis , particularly in areas such as special holonomy , calibrated submanifolds , and geometric flows including Lagrangian mean curvature flow and G2-Laplacian flow . He also explores gauge theory in higher dimensions and geometric problems arising from M-Theory and heterotic String Theory . Chancellor's Professorship, UC Berkeley, 2022-23 Phyllis Beddington Wiener Chair 2025-2026 His recent work includes studies on heterotic SU(3) moduli spaces , neck pinch singularities in Lagrangian mean curvature flow, and G2-Laplacian co-flows . Key themes in his publications are special holonomy metrics , stability of geometric structures , and instantons on non-compact manifolds .

• Differential Geometry

Craig van Coevering is an Associate Professor in the Department of Mathematics at Boğaziçi University. He holds a Ph.D. from Stony Brook University (2006), an M.S. from Portland State University (1998), and a B.A. from Reed College (1993). His primary research focuses on differential geometry, particularly complex and Riemannian geometries. His work explores deformation theory, stability analysis, and geometric structures including Calabi-Yau metrics, Sasakian manifolds, and extremal Kähler metrics. Research integrates techniques from partial differential equations, geometric analysis, and algebraic geometry to investigate Ricci-flat spaces, toric varieties, and hyperkähler manifolds. Publications demonstrate consistent focus on geometric flows, Einstein metrics, and non-compact manifolds, with recent emphasis on variational methods and CR geometry. No awards or student advising details are provided.

Jørgen Ellegaard Andersenمشاهده پروفایل

استاد

• Quantum Topology
• Geometric Quantization of Moduli Spaces
• Topological Quantum Field Theory
• +۷ مورد دیگر

Jørgen Ellegaard Andersen is a Professor and Center Director at the Department of Mathematics and Computer Science, University of Southern Denmark (SDU), and holds the D-IAS Chair at the Danish Institute for Advanced Study (DIAS). He is also a Distinguished Visiting Professor at the California Institute of Technology since 2013, reflecting his international stature in mathematical sciences. University: University of Southern Denmark School: Faculty of Science Department: Department of Mathematics and Computer Science Position: Professor, Center Director, D-IAS Chair Andersen earned his DPhil in Mathematics from the University of Oxford in 1992, with a thesis on Jones-Witten theory and the Thurston Compactification of Teichmüller space. His research lies at the intersection of quantum theory and geometry, focusing on quantum topology, geometric quantization of moduli spaces, topological quantum field theory, low-dimensional geometry, and applications to RNA and protein folding. His work combines deep mathematical rigor with potential applications in quantum computing and biophysics. The trends in his recent publications show a consistent focus on quantization of moduli spaces, topological recursion, mapping class group representations, and quantum Chern-Simons theory. His work often bridges pure mathematics and theoretical physics, with increasing attention to computational and applied aspects in quantum technologies. ERC Synergy Grant ReNewQuantum (EUR 10m, Principal Investigator) Distinguished Visiting Professor, Caltech Andersen leads major research projects such as ReNewQuantum and TopQC2X, securing significant funding from the EU and Danish agencies. He actively supervises PhD students and collaborates with leading mathematicians worldwide, including Maxim Kontsevich and Bertrand Eynard. His work is frequently highlighted in the media for its potential impact on quantum computing and Danish industry. He is a central figure in the Quantum Mathematics center at SDU and collaborates with institutions like MSRI and the University of Hamburg. His research group is part of international networks focused on geometric and topological methods in quantum theory.

Oliver Fabertمشاهده پروفایل

دانشیار

• Symplectic Geometry
• Hamiltonian Systems
• Floer Theory
• +۳ مورد دیگر

Dr. Oliver Fabert is an Associate Professor in the Department of Mathematics at the Faculty of Science, Vrije Universiteit Amsterdam. His research focuses on advanced topics in symplectic geometry, Hamiltonian systems, and Floer theory. He teaches courses such as Differential Geometry, Non-linear Dynamical Systems, and Partial Differential Equations. Key research interests include Hamiltonian systems, periodic solutions, symplectic manifolds, and the application of Floer theory to nonlinear PDEs. His work often intersects with algebraic topology and geometric analysis, addressing challenges like the small divisor problem in Hamiltonian PDEs and the development of regularization techniques in polysymplectic geometry. Dr. Fabert has published extensively on topics such as hyperkähler Floer theory, pseudoholomorphic curves, and topological recursion relations. His contributions span foundational work in symplectic field theory and polyfold theory, with applications to both finite and infinite-dimensional Hamiltonian systems. He has supervised at least one PhD thesis and actively engages in teaching advanced mathematical concepts, reflecting his commitment to both research and education in theoretical mathematics.