David Fisher is the Milton B. Porter Professor of Mathematics at Rice University, specializing in geometric rigidity theory, dynamical systems, and geometric group theory. His research explores lattice actions, superrigidity, quasi-isometric embeddings, and the Zimmer program, with collaborations spanning institutions like the University of Chicago and Stanford University. B.S., Columbia University Ph.D., University of Chicago (1999) His work focuses on the interplay between group actions, Lie groups, and topology. Key contributions include advancements in Zimmer's conjecture, rigidity of warped cones, and quasi-isometric rigidity of solvable groups. His publications highlight collaborations with leading mathematicians such as Alex Eskin, Gregory Margulis, and Shmuel Weinberger. Fisher’s research intersects coarse geometry, harmonic maps, and measure rigidity, often addressing fundamental questions in non-uniform lattices and affine actions. He maintains active engagement in the mathematical community through publications and academic leadership.
Yang Li is a Royal Society University Research Fellow at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics within the Faculty of Mathematics. His research lies at the intersection of differential geometry, complex geometry, and mathematical physics, with a focus on foundational structures in string theory and mirror symmetry. Dr. Li's primary research interests center on Calabi-Yau metrics , special Lagrangian submanifolds , special holonomy , and gauge theory . His work explores the geometric behavior of Calabi-Yau manifolds under degeneration, addressing fundamental questions about metric collapse, diameter bounds, and the structure of singular limits. He has made significant contributions to the SYZ conjecture through constructions of explicit metrics and analysis of fibrations, while his gauge theory research examines singular connections and their topological implications. His publication record demonstrates a strong trajectory in geometric analysis, with recent work establishing uniform diameter bounds for collapsing Calabi-Yau metrics, developing non-Archimedean approaches to the SYZ conjecture, and proving uniqueness results for tangent cones of special Lagrangians. The research spans both theoretical developments in metric geometry and concrete constructions of geometric structures. Notable recognition includes the prestigious Royal Society University Research Fellowship , which supports his independent research program at Cambridge. Actively recruiting PhD students for October 2025 entry Research supported by Royal Society funding Dr. Li maintains an active research program within Cambridge's world-leading Department of Pure Mathematics and Mathematical Statistics, collaborating with leading geometers including Valentino Tosatti and Tristan Collins. His work bridges abstract geometric theory with applications to theoretical physics, particularly in understanding the geometric foundations of mirror symmetry.
Yvain Bruned is a Professor of Mathematics at Université de Lorraine, Nancy, France, where he leads research in singular stochastic partial differential equations and related fields. He serves as Principal Investigator for the ERC Starting Grant LoRDeT (2023-2028), which focuses on advancing the theory of decorated trees and Hopf algebraic structures for solving singular SPDEs and dispersive PDEs at low regularity. Previously, he was a Lecturer at the University of Edinburgh (2019-2022) and completed postdoctoral work at Imperial College London and University of Warwick under Martin Hairer. His educational background includes: PhD in Mathematics (2012-2015), UPMC (Paris 6), on "Singular KPZ type equations" under Lorenzo Zambotti Master 2 in Probability and Statistics, ENS Cachan / Rennes 1, with honors Master 1 in Mathematics, ENS Cachan, with honors Bachelor in Mathematics and Computer Science, University of Rennes 1, with honors Student at ENS Cachan Brittany extension (2009-2013) Classes Préparatoires in Mathematics and Physics (2007-2009) Bruned's research centers on singular stochastic partial differential equations, with particular focus on Regularity Structures, renormalization theory, and their connections to Hopf algebras. His work bridges theoretical mathematics with applications in quantum field theory, wave turbulence, and numerical analysis. He has developed novel approaches using decorated trees to handle renormalization procedures for singular SPDEs and has extended these methods to dispersive PDEs with random initial data. His research program aims to establish existence and uniqueness results for quasilinear and dispersive SPDEs while developing algebraic tools through deformations of Hopf algebras. His extensive publication record demonstrates consistent contributions to the field of singular SPDEs, with a clear trajectory from foundational work on Regularity Structures to more recent applications in dispersive PDEs and numerical methods. The publications reveal a strong collaborative network with leading researchers in stochastic analysis, mathematical physics, and algebra. His work shows increasing sophistication in handling renormalization procedures through algebraic structures, with recent papers exploring connections between different mathematical frameworks. His major scientific recognition includes: ERC Starting Grant LoRDeT (2023-2028) Bruned actively supervises a large group of researchers, currently advising 4 PhD students and 2 postdoctoral researchers at Université de Lorraine, with several former PhD students having completed their degrees at the University of Edinburgh. His ERC grant has enabled him to organize multiple international workshops in Nancy, fostering collaboration between researchers in singular SPDEs, algebraic structures, and numerical analysis. The grant also supports the development of software platforms for decorated trees and their Hopf algebraic structures. As Principal Investigator of the ERC LoRDeT project, Bruned leads a vibrant research team based at the Elie Cartan Institute of Lorraine, which includes postdocs, PhD students, and visiting researchers. The team regularly organizes specialized workshops on topics including operads, symmetries for quantum field theory, and normal forms for singular dynamics, creating a dynamic research environment that bridges multiple mathematical disciplines.
Barney Bramham is a Professor in the Mathematics Department at Ruhr University Bochum, affiliated with the Faculty of Mathematics and the Floer Center of Geometry. He is a core member of the Symplectic Geometry research group. His work focuses on Symplectic Topology, Dynamical Systems, and Geometric Analysis, with notable contributions to pseudo-rotations, systolic inequalities, and Reeb dynamics. Bramham has collaborated extensively on projects like the SFB/TRR 191 (Symplectic Structures in Geometry, Algebra, and Dynamics) and has authored/co-authored over 20 peer-reviewed publications. His research bridges pure mathematics with applications in topology and geometric analysis. Research interests include symplectic and contact topology, Hamiltonian dynamics, and the geometric analysis of low-dimensional manifolds. Key contributions involve systolic inequalities for spheres, rigidity of pseudo-rotations, and the use of pseudoholomorphic curves in dynamical systems. His work often intersects with differential geometry and mathematical physics. Publications span high-impact journals like Inventiones mathematicae and Annals of Mathematics , reflecting his expertise in foundational aspects of symplectic geometry. Bramham’s research also involves collaborative projects, such as the SFB/TRR 191 initiative, which explores symplectic structures across multiple mathematical disciplines.
June Huh is a Mathematics Professor at Princeton University's Department of Mathematics. His research focuses on the interplay between algebraic geometry, combinatorics, and matroid theory, with notable contributions to Hodge theory, tropical geometry, and log-concavity phenomena. He is actively involved in collaborative projects such as the FRG initiative on matroids, graphs, and algebraic geometry. Key research interests include matroid polytopes, Chow rings, Lagrangian geometry, and combinatorial applications of Hodge-Riemann relations. His work bridges discrete and continuous mathematics, with implications for enumerative geometry and geometric combinatorics. Recent publications explore topics like volume polynomials, Bergman fans, and singular Hodge theory in combinatorial geometries. He has received funding for interdisciplinary research through grants like the FRG Collaborative Research program. His contributions highlight innovative methods in geometric and algebraic combinatorics.
Professor Catharina Stroppel is a distinguished researcher and educator in the Department of Mathematics at the University of Bonn, Germany. She maintains an active research program in representation theory and related fields, with significant contributions to categorification, knot theory, and higher category theory. Her office is located at Endenicher Allee 60, Room 4.007, Bonn, and she is supported by secretary Alev Erisöz-Reinke. Stroppel's research primarily focuses on representation theory of Lie algebras, connections to topology (particularly knot and manifold invariants), categorification, and diagram algebras. Her work bridges abstract algebra with topological applications, exploring combinatorial aspects of representation theory including Schubert calculus, Kazhdan-Lusztig theory, and canonical bases. She has made substantial contributions to understanding Hecke algebras and their representation theory, as well as developing connections between categorification and topological quantum field theories. Her recent publications demonstrate a consistent research trajectory advancing semi-infinite highest weight categories, geometric categorifications, and the interplay between quantum algebra and topology. The work shows increasing sophistication in handling higher categorical structures while maintaining concrete connections to classical representation theory problems. Her research has evolved from foundational work in categorification to more complex structures involving higher categories, quantum groups, and geometric interpretations. Indagationes Mathematicae Best Paper Prize (2022) Honorary Doctorate from Uppsala University Invited Plenary Speaker at the International Congress of Mathematicians (2022) Professor Stroppel has supervised numerous doctoral students, including current PhD candidates Jonas Nehme, Liao Wang, Lukas Bonfert, and Daniel Bermudez Montana. Her former PhD students include Till Wehrhan, Anna Mkrtchyan, Tashi Walde, Tomasz Przezdziecki, Arik Wilbert, Joanna Meinel, Hanno Becker, Antonio Sartori, Hoel Queffelec, Gisa Schaefer, and Sebastian Holzmann. She actively participates in the academic community through the Oberseminar Representation Theory (Darstellungstheorieseminar DAS), which she co-organizes with Johannes Flake, held Fridays 2:15-4pm in Endenicher Allee 60 - SR 1.008. Stroppel leads the Algebra and Representation Theory working group in Bonn and maintains strong connections with the Hausdorff Center for Mathematics, which recently received seven additional years of funding. Her research program continues to expand, with upcoming teaching responsibilities including V4A3 Representation Theory II for the WS25/26 semester.
Rune Haugseng is a Professor in the Department of Mathematical Sciences at NTNU in Trondheim, Norway, and a member of the Geometry and Topology research group. His work focuses on higher category theory, homotopy theory, and their applications to derived algebraic geometry and topological quantum field theories. He teaches courses such as a 2025 PhD course on higher categories and has supervised multiple PhD and Master’s students, including Louis Martini, Fredrik Bakke, and Tallak Manum. His research explores foundational aspects of ∞-categories and ∞-operads, with contributions to topics like symmetric monoidal structures, Segal spaces, and bispans. His articles often bridge abstract categorical frameworks with concrete applications in algebraic topology and mathematical physics. Haugseng has authored over 20 academic articles in journals such as Advances in Mathematics , Journal of Topology , and Publicacions Matemàtiques . He has also developed lecture notes on ∞-categories and operads, emphasizing pedagogical approaches to advanced topics. He is actively involved in academic collaborations, including with David Gepner, Joachim Kock, and Claudia Scheimbauer. His current teaching and supervision reflect a commitment to advancing research in higher categorical structures and their interdisciplinary applications.
Steven Bradlow is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. His research focuses on differential geometry, gauge theory, algebraic geometry, and topology, with particular emphasis on Higgs bundles, moduli spaces, and geometric structures. He holds a PhD from the University of Chicago (1988) and has held additional campus roles as a Professor of Mathematics. Research Interests: Bradlow’s work explores advanced topics such as holomorphic vector bundles, stability conditions, and geometric invariant theory. His studies of Higgs bundles integrate techniques from algebraic geometry, differential geometry, and mathematical physics, addressing questions related to moduli spaces, spectral curves, and representation varieties. He investigates exotic components of surface group representations and their connections to Teichmüller theory, contributing to the broader understanding of geometric structures and their topological properties. Recent Work Trends: Recent publications highlight his focus on Cayley correspondences, higher rank Teichmüller spaces, and uniformization techniques for branched surfaces. His collaborative projects often bridge algebraic and differential geometry, with applications to gauge theories and geometric analysis. He has also contributed to editorial work honoring peers like Karen Uhlenbeck and Oscar García-Prada. Grants & Advising: While specific grant details are not listed, Bradlow has been involved in NSF-funded initiatives (e.g., EMSW21-MCTP, RNMS: Geometric Structures). His advising contributions are reflected in co-authored works with students/postdocs such as Brian Collier and Oscar García-Prada. He is associated with research networks exploring geometric representation theory and mathematical collaborations. Labs/Teams: Active within UIUC’s Department of Mathematics, Bradlow collaborates with researchers in geometry and topology. His work often intersects with interdisciplinary groups studying geometric structures, though specific lab affiliations are not detailed here.
Professor Dmitry Turaev is a Professor in Dynamical Systems at Imperial College London's Department of Mathematics within the Faculty of Natural Sciences. His primary role includes teaching courses such as Dynamical Systems and Bifurcation Theory. He is affiliated with the Applied Mathematics and Mathematical Physics groups and the Mathematics research and teaching staff. His research focuses on dynamical systems, chaos theory, bifurcation theory, and their applications in physics and engineering. Education: Ph.D. in Mathematics (details inferred from academic position). Research interests span applied and pure mathematics, with a strong emphasis on dynamical systems, including Hamiltonian systems, homoclinic tangencies, and chaotic behavior in reversible systems. Turaev's work explores complex phenomena such as the emergence of Lorenz-like attractors, Fermi acceleration, and the breakdown of symmetry in dynamical systems. His recent publications highlight studies on pseudohyperbolic attractors, chaotic dynamics in symmetric networks, and nonuniformly expanding random systems. Turaev advises numerous PhD students, reflecting his active role in nurturing the next generation of researchers in dynamical systems. He maintains a lab/working group within the Dynamical Systems group at Imperial College, collaborating with colleagues like Jeroen Lamb and Martin Rasmussen. His research often intersects with interdisciplinary topics like quantum physics and nonlinear optics.
Ilaria Perugia is a University Professor (Univ.-Prof.) and Chair of Numerics of PDEs at the Department of Mathematics, Faculty of Mathematics, University of Vienna. She also serves as Deputy Head of the Research Platform Erwin Schrödinger International Institute for Mathematics and Physics. Her research focuses on numerical methods for partial differential equations with applications in computational physics and engineering. Professor Perugia's primary research interests include: Numerical methods for PDEs Finite element methods Discontinuous Galerkin methods Trefftz methods Virtual element methods Space-time methods Computational electromagnetics Wave propagation problems Nonlinear reaction-diffusion problems Her work spans theoretical analysis, algorithm development, and practical implementation of numerical methods for solving complex physical phenomena. Her recent publications demonstrate a strong focus on space-time methods, virtual element methods, and structure-preserving discretizations for wave equations, heat equations, and other PDEs. She has made significant contributions to the development of stable and efficient numerical schemes that preserve important physical properties of the underlying continuous problems, particularly in the context of wave propagation and computational electromagnetics. Professor Perugia leads a research group comprising several researchers and students including Mattia Corti, Matteo Ferrari, Monica Nonino, Andrea Scaglioni, Paul Stocker, Enrico Zampa, and Marco Zank. Her group actively collaborates on projects related to numerical analysis and scientific computing, with particular emphasis on developing novel discretization techniques for challenging PDE problems.
Professor Dmitri Panov is a Professor of Geometry at King's College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He holds a PhD from École Polytechnique (2005) and has held academic positions including Royal Society Research Fellow (2010–2012), Senior Research Fellow (2012–2015), and Reader (2015–2020) at King’s College. His research focuses on complex, symplectic, and hyperbolic geometry, with a particular emphasis on polyhedral Kahler structures and definite connections. Education: Bachelor’s degree from Moscow State University (1998) PhD from École Polytechnique, France (2005) Research Interests: Panov studies geometric structures such as polyhedral Kahler manifolds and definite connections. His work bridges algebraic, differential, and symplectic geometry, with applications to moduli spaces, spherical metrics, and geometric analysis. Grants & Projects: EPSRC Grant: Kaehler manifolds of constant curvature with conical singularities (2019–2023) Royal Society Grant: Polyhedral Kahler Geometry (2017–2018) Geometric structures on manifolds (2015–2018) Events: Panov has participated in events like the Mathematics Inaugural Lecture (2023) and PhD program introductions, emphasizing his role in academic leadership and outreach.
Prof. Dr. Thomas Schick is a Professor of Mathematics at the Mathematical Institute of the University of Göttingen, leading the vibrant research group in Topology and Geometry. His work focuses on areas such as index theory, K-theory of C*-algebras, and geometry and analysis. He is a core member of the Research Training Group 2491 'Fourier Analysis and Spectral Theory', serving as its speaker, and has supervised numerous doctoral students in topics ranging from persistent cohomology to spectral engineering. His academic journey includes a PhD from Johannes Gutenberg University Mainz (1996) under Wolfgang Lück, followed by postdoctoral positions at the University of Münster and Penn State University before joining Göttingen in 2001. He has held visiting roles at institutions worldwide. Prof. Schick is an Ordentliches Mitglied of the Göttingen Academy of Sciences, a Fellow of the American Mathematical Society, and leads the Scientific Advisory Board of the Mathematisches Forschungsinstitut Oberwolfach. He edits several high-impact journals, including Annales Mathématiques Blaise Pascal and the Bulletin of the Iranian Mathematical Society. His research interests span topological and geometric analysis, with recent work exploring scalar curvature rigidity, T-duality, and coarse geometry. He regularly teaches advanced courses and seminars, including 'Index Theory and Theorems' and 'Topological Data Analysis', and actively mentors students through the RTG program.
Mark Haskins is a Professor of Mathematics at Duke University, affiliated with the Trinity College of Arts & Sciences. He holds a Ph.D. from the University of Texas at Austin (2000) and has held academic positions at institutions including the University of Bath and Imperial College London. His research focuses on differential geometry, special holonomy metrics, and geometric flows, particularly G₂-holonomy manifolds and Laplacian flow solitons. He is a Fellow of the Learned Society of Wales (2014). Research interests include Riemannian geometry, Einstein manifolds, and geometric analysis. Notable contributions involve constructing G₂-manifolds from asymptotically conical Calabi-Yau 3-folds and studying solitons in Laplacian flow. He has led grants from the Simons Foundation (2016–2024) and organized programs like the 2024 Special Geometric Structures and Analysis at MSRI. Teaching includes courses like Real Analysis II and Smooth Manifolds. He mentors students, including Yijia Liu and Anuk Dayaprema, and collaborates with researchers like Nordström and Foscolo. Professional activities include roles as Director of Graduate Studies at Duke and service in academic leadership.
Kirsten Wickelgren is a Professor in the Department of Mathematics at Duke University, affiliated with Trinity College of Arts & Sciences. Her research focuses on homotopy theory and arithmetic geometry, with support from the National Science Foundation through grants DMS-2405191 and DMS-2103838. She has held academic positions at Duke, Georgia Tech, and Harvard, teaching advanced courses in algebraic topology, algebra, and geometry. Her research explores intersections of algebraic topology and number theory, including motivic homotopy theory, quadratic forms, and enumerative geometry. Notable contributions include enriched counts of geometric objects over finite fields and arithmetic counts of curves in projective spaces. Wickelgren has advised numerous PhD students, including Chongyao Chen, Cameron Darwin, and Thomas Brazelton, and has mentored undergraduate and high school research projects. She has organized conferences such as the Abel Symposium 2025 and co-organized the Mathematics Employment Experience for High School Students at Duke.
James Reed Farre is a Researcher and Research Group Leader at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig, leading the Geometry on Surfaces group since October 2023. Previously, he held roles including Juniorprofessor (W1/Assistant Professor) at Ruprecht-Karls-Universität Heidelberg (2022–2023), Gibbs Assistant Professor at Yale University (2021–2022), and an NSF Postdoctoral Fellow at Yale (2019–2020). He earned his PhD in Mathematics from the University of Utah in 2019 under Kenneth Bromberg. His research focuses on hyperbolic geometry, dynamics of earthquake flows, Teichmüller theory, and geometric group theory. Notable areas include affine laminations, hyperconvex representations of surface groups, and ergodic theory in geometric contexts. Farre has contributed to understanding minimal surfaces in hyperbolic 3-manifolds and has explored applications of bounded cohomology to discrete groups. Publications span topics like shear-shape cocycles, horocycle orbit closures, and Hamiltonian flows for pseudo-Anosov mapping classes. His work bridges pure geometry with computational methods, as seen in CAD algorithm development for rigid subsystems. Farre is actively involved in mentoring and has contributed to STEM education initiatives, including the Freshman Research Initiative.
