Find Academic Supervisors

Nathalie WahlView profile

Professor

• Algebraic Topology
• Mapping Class Groups
• Topological Field Theory
• +7 more

Nathalie Wahl is a Professor at the Department of Mathematical Sciences, University of Copenhagen, and serves as the Center Director for the Copenhagen Centre for Geometry and Topology (GeoTop). Her research focuses on algebraic topology, particularly mapping class groups of surfaces and 3-manifolds, homological stability, topological field theory, and loop spaces. PhD from Oxford University (2001) Current leadership of GeoTop (since 2020) Her recent work explores homological stability across automorphism groups, string topology, and structured algebras. Key collaborations include Allen Hatcher, Craig Westerland, and Nancy Hingston. She has received prestigious awards such as the ERC Consolidator Grant and the Young Elite Researcher Award. ERC Consolidator Grant (2018-2023) Female Research Leader Scholarship (2009-2013) Marie Curie European Fellowship (2003-2004)

• Geometric Methods in Mathematical Physics
• Differential Geometry
• Multisymplectic Geometry
• +4 more

Tilmann Wurzbacher is a Professor at the University of Lorraine, affiliated with the Department of Mathematics, Computer Science, and Mechanics. His research focuses on geometric methods in mathematical physics, including multisymplectic geometry, supermanifolds, complex Kähler manifolds, and infinite-dimensional analysis. He has contributed to the development of multisymplectic structures for classical field theories and collaborates on foundational questions in supergeometry. His recent publications emphasize multisymplectic geometry, supermanifolds, and infinite-dimensional structures, with applications to geometric quantization, conservation laws, and Hamiltonian systems. He has co-authored works on co-moments, Lagrangian submanifolds, and singular superspaces. Wurzbacher actively organizes seminars and workshops, including the weekly LieGA seminar and international workshops on multisymplectic geometry. He participates in CNRS-funded networks such as the 80Prime Project "GraNum" and the GDGR "GDM".

Anton MellitView profile

Associate Professor

• Algebraic Geometry
• Enumerative Geometry
• Representation Theory
• +4 more

Anton Mellit is an Associate Professor in the Faculty of Mathematics at the University of Vienna. He holds a Doctor of Natural Sciences from the University of Bonn (2008) and completed postdoctoral positions at institutions including the Hausdorff Center for Mathematics (Bonn), Scuola Internazionale Superiore di Studi Avanzati (Trieste), and the Institute of Science and Technology Austria (Klosterneuburg). His research focuses on algebraic geometry, enumerative geometry, and their connections to representation theory, combinatorics, and number theory, with particular emphasis on moduli spaces, categorification, and character varieties. Education: Doctor of Natural Sciences (2008), University of Bonn Master in Applied Mathematics (2004), National Technical University of Ukraine Bachelor in Applied Mathematics (2002), National Technical University of Ukraine Research Interests: Investigates Poincaré polynomials of moduli spaces, Higgs bundles, and character varieties Studies Khovanov-Rozansky homology and torus knots Explores connections between Macdonald polynomials and affine Springer fibers Develops combinatorial approaches to algebraic geometry via Hilbert schemes and categorification Grants & Projects: ERC Consolidator Grant: Macdonald polynomials and related structures in geometry FWF Standalone Project: Refined invariants in combinatorics, low-dimensional topology, and geometry of moduli spaces Labs/Teams: Collaborates with researchers in geometric representation theory, quantum cohomology, and algebraic combinatorics, including notable co-authors like Erik Carlsson, Eugene Gorsky, and Maxim Smirnov.

• Differential Geometry
• Complex Geometry
• Geometric Structures on Manifolds
• +4 more

Anna Fino is a Full Professor at the Department of Mathematics, University of Turin. Her research focuses on differential and complex geometry, particularly geometric structures on manifolds such as nilmanifolds, solvmanifolds, G₂-structures, and Hermitian manifolds. She has contributed to studies on special metrics (balanced, SKT, Calabi-Yau), holonomy groups, cohomology theories, and geometric flows like the Laplacian flow for G₂-structures. Her work often intersects with algebraic topology and geometric analysis, addressing topics such as tamed symplectic structures, Ricci solitons, and invariant geometric properties on homogeneous spaces. Recent activities include organizing conferences on differential geometry and participating in international collaborations. Key research themes include: Geometric structures on nilpotent and solvable Lie groups Special holonomy and calibrated geometries Hermitian and almost complex manifolds Cohomological aspects of complex and symplectic manifolds Her publications frequently explore interplays between differential geometry and algebraic structures, with applications to geometric flows and classification problems.

• symplectic geometry
• algebraic geometry
• Lie theory
• +4 more

Chris Woodward is a Distinguished Professor and Chair of the Department of Mathematics at Rutgers University (New Brunswick). He maintains an active research program in symplectic and algebraic geometry, Lie theory, gauge theory, and mathematical physics. Woodward serves as an associate editor for Selecta Mathematica and organizes the Rutgers symplectic seminar, which focuses on current developments in symplectic geometry. Woodward's research primarily centers on symplectic geometry with particular emphasis on Floer theory, mirror symmetry, and connections to mathematical physics. His work bridges geometric analysis with algebraic structures, exploring deep connections between symplectic topology and quantum field theory. He has made significant contributions to understanding the mathematical structures underlying string theory through rigorous geometric frameworks, with recent work focusing on immersed Lagrangians, tropical geometry applications, and quantum cohomology. Analysis of Woodward's recent publications reveals a cohesive research trajectory with increasing sophistication in handling complex geometric structures. His work consistently explores the connections between symplectic geometry, algebraic geometry, and mathematical physics, demonstrating how techniques from one field can solve problems in another. Recent papers show particular innovation in extending Floer theory to immersed settings and developing connections between tropical geometry and symplectic topology. Woodward has advised numerous graduate students who have secured positions at Stanford University, Pennsylvania State University, Yale University, and Columbia University His undergraduate research mentorship program has produced students who continued to top graduate programs He has mentored junior faculty members including Matt Leingang (now at NYU), Eduardo Gonzalez (now at University of Massachusetts Boston), and Yuhan Sun (now at Imperial College) Woodward leads the Rutgers symplectic geometry research group and has organized significant workshops including the Recent Developments in Lagrangian Floer theory workshop at the Simons Center for Geometry and Physics (held in March 2022 after pandemic delay) and is co-organizing a workshop at Harvard's CMSA in Fall 2026 with Denis Auroux and Jonny Evans. His research group maintains strong connections with international symplectic geometry communities.

Alexander TumanovView profile

Professor

• Several Complex Variables
• Differential Geometry
• Partial Differential Equations
• +3 more

Professor Alexander Tumanov is a faculty member in the Department of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. He holds the rank of Professor and has been active in research and teaching since at least 2000. His current teaching includes Math 220 Calculus in Fall 2025. Education & Affiliations: His academic career is deeply rooted at the University of Illinois, with no indications of former roles or retirement status. Research Interests: Tumanov specializes in Several Complex Variables, Differential Geometry, and Partial Differential Equations. His work explores topics such as CR mappings, stationary discs, pseudoholomorphic curves, symplectic geometry, and nonlinear PDEs. Notable contributions include studies on automorphism groups of bounded domains, boundary value problems, and applications of Gromov's methods in symplectic topology. Publications: His recent work (2025–2013) focuses on advanced topics like non-linear Lie groups, q-convex manifolds analysis, outer billiards dynamics, and symplectic non-squeezing in infinite dimensions. Earlier contributions include boundary regularity for elliptic equations and minimal energy configurations on spheres. Awards & Grants: No specific awards are listed in the provided materials, though his extensive publication record reflects sustained scholarly impact. No grants or advising data are explicitly mentioned. Labs & Teams: Tumanov collaborates extensively with researchers like A. Sukhov, L. Baracco, and B. Coupet, as evidenced by co-authored papers. His work intersects pure mathematics with geometric analysis and mathematical physics.

Anna WienhardView profile

Professor

• Discrete Subgroups of Lie Groups
• Deformation Spaces of Geometric Structures
• Representation Varieties
• +6 more

Prof. Anna Wienhard holds the position of Professor at the Mathematical Institute of Heidelberg University since 2012, where she leads the Differential Geometry research group. She is also Scientific Director of the Research Station Geometry and Dynamics (since 2020) and Co-Spokesperson of the Excellence Cluster STRUCTURES (since 2019). She serves as a Group Leader at the Heidelberg Institute for Theoretical Studies (HITS) since 2015 and chairs the Heidelberg Laureate Forum Foundation. Her roles include editorships for journals like Annales Henri Lebesgue, Annales scientifiques de l'Ecole Normale Supérieure, and Geometric and Functional Analysis. Anna Wienhard earned dual degrees in theology and mathematics from the University of Bonn (2003/2004). After a theological research phase supported by the CRC 'Judaism – Christianity', she completed her PhD in mathematics at the University of Bonn in 2004. She held positions as a Dickson Instructor at the University of Chicago (2005–2007), postdoctoral research at the Institute for Advanced Study (IAS) in Princeton (2005–2006, 2009–2012), and was an Assistant Professor at Princeton University (2007–2012). She also served as Director of Graduate Studies at Princeton (2007–2010). Her research focuses on discrete subgroups of Lie groups , deformation spaces , representation varieties , Anosov representations , higher Teichmüller theory , and positivity in Lie groups . She explores these areas with interdisciplinary applications in physics and data science. Notable projects include the ERC Consolidator Grant (2014) and leadership in the DFG Excellence Cluster 2181 and Graduiertenkolleg 2229. Her work has been recognized through awards such as the Sloan Research Fellowship (2012–2014) and Fellow of the American Mathematical Society . She has organized workshops on topics like Ergodic Decompositions, Flat Conformal Lorentzian Structures, and Ratner's Theorem. Her grants span DFG-funded initiatives and international collaborations, including the GEAR Network and MSRI programs. She is actively involved in editorial roles, academic committees, and interdisciplinary research activities. Prof. Wienhard advises doctoral candidates and oversees research groups. She collaborates with institutions such as the IAS, Technical Universities in Munich and Ingolstadt, and the Berlin-Brandenburg Academy of Sciences. Her research group at Heidelberg University specializes in differential geometry, and she contributes to the Excellence Cluster’s unifying approach to emergent phenomena across mathematics and physics.

• Topology
• Algebra
• Mathematical Physics
• +3 more

Florian Naef is an Assistant Professor in the School of Mathematics at Trinity College Dublin. His research spans topological and algebraic structures with applications to mathematical physics, including string topology, Poisson geometry, and homotopy theory. Publications emphasize formality theorems, torsion invariants, and quantization methods. Recurring themes include loop spaces, deformation quantization, and connections between differential geometry and algebraic topology.

• Algebraic Topology
• Moduli Spaces
• Homology Spheres
• +5 more

Søren Galatius is a Visiting Professor at the Department of Mathematical Sciences, University of Copenhagen. His research focuses on algebraic topology with an emphasis on moduli spaces, homology spheres, K-theory, and cobordism categories. He holds a PhD and has established himself as a leading figure in geometric topology and algebraic structures in mathematics. Recent research has explored topics such as general linear groups over finite fields, Pontryagin classes, and tropical geometry applications to moduli spaces. His work bridges pure algebraic topology with geometric and combinatorial methods, contributing foundational insights into modern mathematical frameworks. Key collaborations include projects with Oscar Randal-Williams and Martin Hairer, advancing understanding of cobordism categories and topological field theories. His articles consistently appear in top-tier journals like Annales Scientifiques de l'Ecole Normale Superieure and Inventiones Mathematicae . No scientific awards or grants are explicitly listed in the provided materials, though his publication record speaks to significant academic contributions. No advisee students are documented here.

Ana Cannas Da SilvaView profile

Lecturer

• Symplectic Geometry
• Geometric Topology
• Geometric Analysis
• +3 more

Ana Cannas da Silva is a Lecturer in the Department of Mathematics at ETH Zurich (Switzerland). She specializes in Symplectic Geometry , Geometric Topology , and Geometric Analysis . Her academic work includes research on symplectic toric manifolds, folded symplectic structures, and geometric quantization, with notable publications in journals like Pure and Applied Mathematics Quarterly and Mathematical Research Letters . Research Interests Symplectic Geometry Geometric Topology Geometric Analysis Hamiltonian Group Actions Toric Manifolds Recent Academic Activities Co-organized Symplectic Geometry Seminar (2021-2023) Supervised student theses on topics like contact toric manifolds, Hamiltonian actions, and symplectic linear algebra Authored research on Dedekind sums via Atiyah-Bott-Lefschetz theory (2023) and symplectic origami (2011) Teaching Lecturer for Mathematics I (2024), covering differential calculus and linear algebra Lecturer for Mathematics II (2024), focusing on multivariable calculus and partial differential equations Co-taught seminars on symplectic/contact geometry with Bahar Acu Academic Contributions Advised 20+ MSc/BSc theses at ETH Zurich since 2012 Co-organized conferences like D-Days (2013) and LP-60 (2023) Authored outreach book: Step by Step Symmetry (2016)

Chris RogersView profile

Associate Professor

• Homotopy Theory
• Homological Algebra
• Algebraic Geometry
• +5 more

Chris Rogers is an Associate Professor of Mathematics (with tenure) at the University of Nevada, Reno (UNR), Department of Mathematics and Statistics, within the College of Science. His research bridges homotopy theory, algebra, and geometry, focusing on applications of homotopy-theoretic methods to abstract algebra, algebraic geometry, and mathematical physics (e.g., formal deformation quantization and topological field theory). His work is supported by the National Science Foundation grant DMS-2305407. Education: Ph.D. in Mathematics from the University of California, Riverside (advised by John Baez), followed by a postdoctoral research fellowship at the University of Göttingen, Germany. His research interests include homological algebra, homotopy algebras, Lie n-algebras, and their connections to geometric structures. Notable publications explore graph complexes, homotopy moment maps, and the integration of L∞-algebras into Lie ∞-groupoids. Research trends reflect a focus on advancing foundational theories in algebraic topology and their applications to physics, with a recurring emphasis on higher structures and categorical frameworks. His grants and collaborations highlight interdisciplinary approaches to geometric and algebraic problems. No formal advisees are listed, but his NSF support suggests active research projects. His personal interests include bicycles, hiking, and the arts.

Roland KetzmerickView profile

Professor

• Quantum Chaos
• Hamiltonian Systems
• Floquet Systems
• +3 more

Roland Ketzmerick is a Professor of Computational Physics at Technische Universität Dresden since 2002, with a Max Planck Fellow position at the Max Planck Institute for the Physics of Complex Systems (2010–2020). He was spokesperson for the DFG Forschergruppe FOR760 on Scattering Systems with Complex Dynamics (2010–2013). His research focuses on quantum chaos in mixed systems, power-law trapping in Hamiltonian systems, Floquet systems , Hamiltonian ratchets , mesoscopic physics , fractal spectra , and Bloch electrons in magnetic fields . His work bridges classical and quantum dynamics, exploring tunneling, wavefunction statistics, and nonequilibrium phenomena. His publications demonstrate a strong emphasis on chaotic resonance states , dynamical tunneling , multifractal analysis , and quantum transport in complex systems. Recent articles (2022–2025) address dielectric cavities, ultracold atom entanglement, and 4D Hamiltonian structures. Scientific Awards : Otto-Klung-Prize (1999)

Emma CarberryView profile

Lecturer

• Differential Geometry
• Integrable Systems
• Harmonic Maps
• +3 more

Dr. Emma Carberry is a Lecturer in the School of Mathematics and Statistics at the University of Sydney, within the Faculty of Science. Her research focuses on differential geometry and integrable systems, particularly harmonic maps, conformal surface theory, and constant mean curvature surfaces. She is a member of the Sydney Southeast Asia Centre. Her research interests include geometric applications of integrable systems, spectral curves, and the interplay between differential geometry and complex algebraic geometry. Notable contributions include studies on harmonic tori, Whitham deformations, and constant mean curvature surfaces in various spaces. Dr. Carberry has secured grants including the DVC Research/Brown Fellowship (2016) and DVC Research/Laffan Fellowship (2010). Her teaching includes advanced courses such as MATH3968 (Differential Geometry: Advanced), Honours Riemannian Geometry, and undergraduate modules like MATH1011 (Applications of Calculus). Her academic work spans over two decades, with publications in journals like the Journal of Geometry and Physics and the Journal of the London Mathematical Society. She collaborates internationally and maintains an active research profile in geometric analysis and integrable systems.

Hongyi LiuView profile

Lecturer

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

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.

Katrina HonigsView profile

Assistant Professor

• Algebraic Geometry
• Arithmetic Geometry
• Derived Categories
• +3 more

Katrina Honigs is an Assistant Professor in the Department of Mathematics at Simon Fraser University (SFU), located on the unceded traditional territories of the Coast Salish peoples. Her research focuses on algebraic and arithmetic geometry, particularly varieties over fields of positive characteristic, Q-rational points, and derived categories of coherent sheaves. She earned her Ph.D. in Mathematics from UC Berkeley in 2015, preceded by an MASt from the University of Cambridge (2009) and a BA from Grinnell College (2008). Her research explores topics such as derived equivalences, abelian varieties, and geometric structures like Kummer varieties. Recent work includes studies on symplectic involutions, theta characteristics, and the Brauer-Manin obstruction on Calabi-Yau threefolds. Honigs has taught courses at SFU (e.g., Math 818, 817, 240) and previously at the University of Utah and University of Oregon. She actively contributes to academic service, organizing conferences like the Mathematics Research Community on Derived Categories and co-organizing the SFU Number Theory and Algebraic Geometry seminar. Honigs has authored or co-authored over 15 refereed articles and preprints, with a focus on categorical methods in algebraic geometry and arithmetic applications. Her outreach includes talks on Pythagorean triples and algebraic geometry for diverse audiences. Professional activities include participation in workshops at institutions like BIRS and Cornell, reflecting her engagement with both foundational and applied aspects of her field.