Dr. Martin Herschend is a Senior Lecturer at the Department of Mathematics , Uppsala University. His research focuses on Algebra , Representation Theory , and Category Theory , with particular emphasis on quiver representations, cluster tilting theory, and homological algebra. Research Areas: Algebraic structures, quiver theory, cluster tilting, homological algebra, and categorification. Key Collaborations: Active collaborations with Sondre Kvamme, Yu Liu, Hiroyuki Minamoto, and other researchers in higher-dimensional representation theory. Recent Publications: Pioneering work on nZ-cluster tilting , Geigle-Lenzing complete intersections , and exangulated categories with applications to noncommutative geometry and singularity theory. Contact: martin.herschend@math.uu.se
Alessandra Iozzi is a Professor in the Department of Mathematics at ETH Zurich, where she has been an active faculty member for many years. Her office is located in HG G 37.4 at ETH Zentrum, and she maintains a strong research and teaching presence at one of the world's leading technical universities. She regularly organizes academic activities including workshops, seminars, and conferences related to her research interests. Professor Iozzi's research focuses on bounded cohomology, Lie groups, symmetric spaces, geometric group theory, Teichmüller theory, and representation theory . Her work often involves deep connections between geometric structures and algebraic representations, with significant contributions to understanding rigidity phenomena in mathematics. She has developed important results in the theory of maximal representations and their geometric interpretations, particularly in relation to Hermitian symmetric spaces. Her recent publications demonstrate a strong focus on character varieties, compactifications, and the geometric structures underlying representation theory. The trend in her work shows increasing sophistication in connecting bounded cohomology with geometric structures, particularly through the study of maximal representations, geodesic currents, and their compactifications. Her research has evolved from foundational work in bounded cohomology to sophisticated applications in geometric group theory and higher Teichmüller theory. Professor Iozzi has been actively involved in organizing numerous academic activities including the Geometry Seminar at ETHZ, the "goMATH, Frauen machen Mathematik" initiative, and various international workshops on geometric group theory, Teichmüller theory, and related topics. She has collaborated extensively with leading mathematicians including Marc Burger, Anna Wienhard, and Nicolas Monod, among others.
Ákos G. Horváth is a Professor at the Department of Geometry , Budapest University of Technology and Economics. His academic career focuses on geometric theories and their applications, with a particular emphasis on Minkowski geometries and discrete geometry. Room: H222 Phone: +36-1-463-2645 Email: ghorvath@math.bme.hu Personal Website: https://math.bme.hu/~ghorvath/ His research areas include Non-Euclidean Geometry, Convex Geometry, and Minkowski Geometry. He investigates topics such as generalized Minkowski spaces, Dirichlet-Voronoi cells, and bisectors in normed spaces, contributing to advancements in discrete and computational geometry. Key trends in his publications span over two decades, with significant work on: Unimodular lattices (1996) Bisectors in Minkowski spaces (2000) Semi-indefinite inner products (2010)
Renaud Detcherry is a Lecturer (Maître de Conférences) at the University of Burgundy, affiliated with the Institute of Mathematics of Bourgogne (UMR 5584 CNRS) within the Faculty of Science and Technology. He has held this position since September 2020 and is part of the Geometry, Algebra, Dynamics and Topology (GADT) research team. His office is located in the Mirande Building (Office 314, Wing A) at the university's Dijon campus. His research focuses on low-dimensional topology and quantum invariants, including: 3-manifold topology, colored Jones polynomials, Witten-Reshetikhin-Turaev TQFT, quantum representations of mapping class groups, skein modules, and connections between quantum invariants and classical topology through various conjectures (Witten, volume, AJ, AMU). He also investigates Dehn surgeries, cosmetic surgery conjecture, and homological representations of surface diffeomorphism groups. Detcherry's recent publications demonstrate a consistent focus on quantum topology invariants and 3-manifold theory, particularly skein modules and their relationships with geometric structures. His work frequently explores connections between quantum algebra and classical topological concepts, with significant contributions to understanding the representation theory aspects of mapping class groups and the geometric properties of quantum invariants. He actively organizes academic events, including co-organizing the upcoming 'New Perspectives on Skein Modules' conference at CIRM (2025) and previously co-organizing the GDR Tresses meeting on 'Geometric and Quantum Topology' (2021) and a working group on modular surface groups (2021-2022).
Dr Monika Kudlinska is a Research Fellow and Director of Studies in Mathematics at Emmanuel College. She completed her DPhil in Mathematics at Magdalen College, Oxford, and previously studied violin and piano at a specialist music school in Manchester before pursuing undergraduate studies in Mathematics at the University of Bristol. Education: DPhil in Mathematics (Magdalen College, Oxford); BSc in Mathematics (University of Bristol) Focus on geometric group theory, exploring algebraic properties of groups through geometric structures and fibered manifolds. Holds the Meggitt Fellowship, supporting her research into algebraically fibered groups.
Eric Christopher Chen is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, affiliated with the College of Liberal Arts & Sciences. His research focuses on geometric analysis, geometric flows, and partial differential equations. Previously, he was an NSF Postdoctoral Fellow at UC Berkeley and a Ky Fan Visiting Assistant Professor at UC Santa Barbara. Chen’s recent work in geometric flows includes studies on Yamabe flow convergence on asymptotically Euclidean and flat manifolds, Ricci flow smoothing with integral curvature pinching, and sphere theorems for Yamabe metrics. His publications often bridge differential geometry with nonlinear PDE analysis. NSF Postdoctoral Fellowship (2019–2022) Chen is actively involved in the Illinois Geometric Analysis Seminar , organizing talks and presenting his research on Yamabe flow behavior in 2025. His email contact is ecchen@illinois.edu.
Zhouli Xu is a Professor in the Department of Mathematics at the University of California, Los Angeles (UCLA) since November 2024. Previously, he held positions as Assistant Professor, Associate Professor, and Professor at UC San Diego (2020-2024), and was a C.L.E. Moore Instructor at MIT (2017-2020). He earned his Ph.D. from the University of Chicago in 2017 under the mentorship of J. Peter May, Daniel C. Isaksen, and Mark Mahowald. His research focuses on algebraic topology, specializing in stable homotopy theory, motivic homotopy theory, and equivariant topology. Key areas include computational methods for stable homotopy groups of spheres, spectral sequences, and connections between homotopy theory and algebraic geometry. His work frequently involves collaborative projects with international teams. Publications demonstrate a consistent focus on advancing computational techniques in homotopy theory, with recent work resolving long-standing problems like the Kervaire invariant in dimension 126. Research trends show extensive use of spectral sequences, equivariant methods, and motivic approaches to solve fundamental topological questions. Awards and Honors: AMS Centennial Research Fellow (2025-26) Fellow of the American Mathematical Society (2023) K-Theory Prize (2022) Grants and Funding: NSF grants supporting his research include DMS 2105462 (2021-2024), DMS 1810638 (2018-2020), and DMS 2043485 (2020-2021). He leads collaborative research groups and organizes major conferences in algebraic topology worldwide.
Dr. Luciana Basualdo Bonatto is a researcher at the Mathematical Institute , University of Oxford , specializing in topology and its intersections with algebraic structures. She contributes to the Topology research group and has published extensively on configuration spaces, operad theory, and manifold topology. Her research interests include: Configuration Spaces Diffeomorphism Groups Homological Stability Embedding Calculus Knot Theory Operad Theory Her recent publications span mathematical topology and computational applications, including a 2023 study on moduli spaces and a 2021 work on multi-agent consensus algorithms. She collaborates internationally with researchers like Nathalie Wahl and Safia Chettih. She is affiliated with Oxford's Topology research group and works from the Andrew Wiles Building, Radcliffe Observatory Quarter.
Holger Dullin is a Professor of Applied Mathematics at the School of Mathematics and Statistics, University of Sydney. His research focuses on Hamiltonian dynamical systems, integrable systems, and their applications in mechanics, fluid dynamics, and biomechanics. He serves as a member of the Sydney Southeast Asia Centre and the Applied Mathematics Research Group. Member of Sydney Southeast Asia Centre Member of Applied Mathematics Research Group Research Interests include: Hamiltonian systems and integrability Quantum and classical monodromy Geometric phase phenomena N-body and rigid body dynamics Volume-preserving mappings His work spans from fundamental mathematical physics to interdisciplinary applications in biomechanics and space engineering , with recent studies on light sail stabilization and geometric phase optimization in diving. Publications cover 2024 to 2003, showing sustained contributions to nonlinear dynamics , stability analysis , and symplectic geometry . Teaching includes advanced courses in Hamiltonian dynamics and nonlinear ODEs. Current research students include Babak Attarha and Gleb Palshin , with past supervision of William Tong (PhD 2016) on geometric phases in diving.
Daniel Robertz is a University Professor of Algebra and Number Theory at RWTH Aachen University, Germany, with his office located at Pontdriesch 14/16, Room 102 in Aachen. He actively participates in several academic seminars including the Joint Algebra Seminar at RWTH Aachen University, the Kolchin Seminar in Differential Algebra (online/New York), and the Diff.-Equations and Singularities Seminar (online). Professor Robertz's research spans multiple mathematical disciplines with primary focus on Differential Algebra , Difference Algebra , Computer Algebra , Discrete Geometry , Simplicial Surfaces , Group Theory , Invariant Theory , and Algebraic Systems Theory . He has developed several influential Maple packages including Janet , Involutive , JanetOre , LDA , and OreModules that have advanced computational methods in algebraic analysis of differential systems. His scholarly output demonstrates a consistent focus on algorithmic approaches to differential equations with increasing interdisciplinary applications, particularly in structural engineering through discrete geometry and origami-inspired designs for carbon-reinforced concrete structures. This research trajectory shows how abstract mathematical concepts can solve practical engineering problems, especially in sustainable construction materials development. Editorial Board of Mathematics in Computer Science Special Issue in Honor of Vladimir Gerdt (2022) Applications of Computer Algebra (ACA 2017, Jerusalem) (2019) Professor Robertz has organized numerous international workshops on computational differential and difference algebra and maintains active research collaborations across mathematics, engineering, and materials science disciplines. His work on algebraic methods for structural design involves partnerships with researchers in civil engineering, architectural design, and materials science. He leads research activities in the Chair of Algebra and Number Theory at RWTH Aachen, where his team develops computational methods for algebraic analysis of differential systems. His group maintains strong international connections with research communities in computer algebra, differential algebra, and mathematical engineering applications.
Nicolas Tholozan is a Research Fellow at the CNRS — École Normale Supérieure (DMA) , where he focuses on Geometry, Topology, and Mathematical Physics . His work explores reductive homogeneous spaces, Anosov representations, and anti-de Sitter geometry. Education : Ph.D. in Mathematics from Université de Nice (2014), advised by Sorin Dumitrescu. Research Supervision : Qualified to supervise research in compact quotients of reductive homogeneous spaces and surface group representations. Research Interests : Tholozan’s research spans differential geometry, geometric group theory, and mathematical physics. He investigates geometric structures on manifolds, cohomological invariants, and dynamics of Anosov representations. His recent publications include studies on fiber bundles, maximal representations, and volume invariants in anti-de Sitter geometry. Collaborations : He has co-authored works with prominent mathematicians such as Fanny Kassel, Bertrand Deroin, and Anna Wienhard. His research involves organizing seminars and workshops like the Higher rank Geometric Structures (2025) and the Tell me about... seminar series at DMA. Advising : Tholozan has supervised doctoral students Samuel Bronstein (Max Planck Institute), Tianqi Wang (Yale University), and currently Giorgos Stamatiou at École Normale Supérieure.
Tullia Dymarz is a Professor in the Department of Mathematics at the University of Wisconsin, Madison . Her research focuses on geometric group theory , particularly quasi-isometric rigidity , large scale geometry of groups, and quasiconformal analysis . She has been awarded the NSF RTG grant (2023–Present) and NSF CAREER grant (2016–2023), and was a Visiting Fellow at MSRI (2016). Research Trends: Her work explores the metric geometry of solvable and nilpotent Lie groups, quasi-isometric classification of lamplighter groups, and rigidity theorems like Tukia-type results. Key themes include geometric invariants, boundary mappings, and large-scale analysis of group structures. Scientific Awards NSF RTG grant (2023–Present) NSF CAREER grant (2016–2023) MSRI Fall 2016 Visiting Fellowship Service & Leadership Graduate Admissions Chair (2018–2024) Graduate Faculty Executive Committee (2021–Present) Physical Sciences Divisional Committee (2018–2021) Outreach Faculty mentor for Girls Math Night Out! Faculty mentor for Directed Reading Program
Yingkun Li is an Assistant Professor in the Department of Mathematics at the University of Wisconsin-Madison. He is also a visiting researcher at the Max Planck Institute for Mathematics (MPIM Bonn) and the University of Bonn, supported by the Heisenberg program (DFG). His research focuses on number theory, particularly automorphic forms and their applications in arithmetic geometry and mathematical physics. Research Interests: Dr. Li works at the intersection of number theory and modular forms, with emphasis on harmonic Maass forms, quantum modular forms, and their connections to combinatorics, analytic number theory, and algebraic structures. His work explores CM-values, asymptotic expansions, and renormalization techniques. Recent Publications: His research spans real-dihedral harmonic Maass forms, quantum modular forms, Hilbert modular functions, Fishburn matrices, and half-integral weight modular forms. Themes include renormalization, q-series, and automorphic representations. Teaching: He has taught courses ranging from Analysis I to seminars on partitions and asymptotic expansions, and has extensive experience mentoring high school and university students through programs like the UCLA Math Circle and Mathematics courses.
Joy Morris is a Professor at the Department of Mathematics & Computer Science at the University of Lethbridge. She earned her BSc from Trent University in 1992 and her PhD from Simon Fraser University in 2000 under Brian Alspach. Her academic journey includes tenure in 2005, promotion to Associate Professor, and full Professor status in 2015. Research Focus: Interactions between group theory and graph theory, with emphasis on Cayley graphs and automorphisms Key Contributions: Solving the distinguishing number problem for various graph families, advancing DCI/CI group theory Research Overview Her work bridges abstract algebra with graph theory through Cayley graphs. She investigates automorphism groups, Hamilton cycles, and graph symmetry properties. Notable contributions include resolving the DCI property for specific groups, analyzing Praeger-Xu graphs, and studying color-preserving automorphisms. Academic Leadership As a co-author of two influential open-access textbooks ( Proofs and Concepts with Dave Morris and her own Combinatorics text), she has shaped curriculum development and mathematical education outreach programs for parents in Alberta. Her teaching portfolio includes foundational courses like Math 2000 and advanced combinatorial theory instruction. Collaborative Impact With over 30 publications since 1996, her collaborations span international researchers including C. Praeger, P. Spiga, and E. Dobson. Current projects involve hypercube distinguishing costs and automorphism group analysis of vertex-transitive digraphs. She maintains active research into graphical regular representations and graph isomorphism problems.
Letterio Gatto is a Tenured Associate Professor in the Department of Mathematical Sciences (DISMA) at Politecnico di Torino, Italy. His research focuses on algebraic geometry, commutative algebra, and their connections to mathematical physics. He has held visiting positions at Brazilian institutions including Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Científico e Tecnológico. Gatto has been actively involved in international collaborations, particularly between Italy and Brazil, and has received several research awards including the Collectanea Mathematica's Distinguished Paper Award. His educational background includes a Laurea in Matematica from Università di Torino (1987, 110/110 e Lode), a Dottorato di Ricerca in Matematica from Consorzio Universitario Torino-Genova (1988-1992), a Visiting Ph.D. student position at Boston University (January-June 1990), and a Postdoc at Rijkuniversiteit te Utrecht (1994-1995) with a NATO fellowship. Gatto's research spans several interconnected areas in mathematics. His primary focus is on the application of Hasse-Schmidt derivations on exterior algebras to symmetric polynomials and Schubert calculus. He investigates vertex operators in Heisenberg's vertex algebra and their connections to bosonic and fermionic representations of infinite-dimensional Lie algebras. His work also extends to Wronskians and ordinary differential equations with indeterminate coefficients, as well as families of special Weierstrass points on complex algebraic curves. These research threads converge in his development of the theory of Hasse-Schmidt Derivations on Exterior Algebras (HiDEAs). Gatto's recent publications demonstrate a consistent focus on algebraic structures related to exterior algebras and their applications. His work bridges commutative algebra, representation theory, and algebraic geometry. A notable trend is the exploration of connections between Grassmann algebras, Clifford algebras, and Lie algebra representations. His research has increasingly incorporated vertex operator techniques and their applications to Schubert calculus. The collaborative nature of his work is evident through partnerships with mathematicians across Europe and the Americas. His major awards include: Collectanea Mathematica's Distinguished Paper Award (2022) MARM AWARD (Mentoring African Research in Mathematics) by London Mathematical Society Cientista Visitante fellowship from FAPESP (multiple periods) Gatto has served on PhD committees at Università degli Studi di Torino for multiple cycles (32nd-34th). He has been a scientific responsible for the MARM Partnership project (2024-2025) between Politecnico di Torino and University of Lubumbashi. His grant activities include the MARM program (2020-2022) mentoring mathematics research at the University of Namibia. He has organized several international meetings including 'Mathematics Building Partnership with Africa' (2023) and 'A Fall Meeting in Algebraic Geometry and Related Topics' (2017). Gatto is part of the 'Algebraic, Computational and Differential Geometry' research group at DISMA and has been an active peer reviewer for numerous mathematical journals.
