Prof. Dr. Georg Tamme is a faculty member at the Institute of Mathematics (Johannes Gutenberg University Mainz). His research focuses on Arithmetic Geometry and Algebraic K-Theory , with significant contributions to non-Archimedean geometry, motivic homotopy theory, and regulator maps. Research Interests: Tamme's work bridges Algebraic K-Theory Arithmetic Geometry Non-Archimedean Geometry Differential Algebraic K-Theory Advising: He supervises doctoral students including Andreas Gieringer Luca Passolunghi
Professor Ivo Sachs is a distinguished theoretical physicist at the Ludwig-Maximilians-Universität München (LMU), where he holds a position at the Arnold Sommerfeld Center for Theoretical Physics with a Chair on Cosmology. His research spans multiple areas of theoretical physics with a particular focus on string theory, quantum field theory, and cosmological applications. He maintains an active research program with numerous recent publications in prestigious journals. Professor Sachs' research interests center around fundamental theoretical physics, with significant contributions to string field theory, cosmological perturbation theory, and the mathematical structures underlying quantum gravity. His work often bridges abstract mathematical concepts with physical applications, particularly in understanding the early universe and quantum aspects of gravity. He has developed innovative approaches to studying cosmological correlators, spinning particles, and the relationship between quantum field theory and gravitational physics. Analysis of his recent publications reveals a strong focus on the intersection of cosmology and string theory, with particular attention to mathematical structures in quantum gravity. His work demonstrates consistent exploration of how quantum field theory techniques can be applied to cosmological problems, especially regarding correlation functions in the early universe. He frequently collaborates with researchers across Europe, indicating an active international research network. Martín Enríquez Rojo (PhD, 2022): Asymptotic symmetries in FLRW and deformations of gravitational symmetry algebras
Sylvain Faisan is a permanent Assistant Professor at ICube - MIV (University of Strasbourg, France). His research focuses on image processing, statistical modeling, and geometry, with applications in medical imaging and neuroscience. He works on advanced methodologies integrating machine learning and mathematical frameworks. Key Research Areas: Polarimetric image processing, retinal image registration, 3D statistical model comparison, topology-preserving image deformation, and fMRI brain mapping Technical Expertise: Bayesian inference, non-local means filtering, reversible jump MCMC algorithms, causal modeling, and constrained optimization His publications demonstrate interdisciplinary applications in optics, biomedical imaging, and computational anatomy. He contributes to developing algorithms that maintain physical admissibility and topological integrity in complex imaging problems.
Moritz Kerz is a Professor of Mathematics at the University of Regensburg's Faculty of Mathematics. His research spans arithmetic geometry and algebraic K-theory, with significant contributions to class field theory and cohomological methods. He leads a research group including postdoctoral scholars and doctoral candidates. Research Focus: Kerz's investigations center on: Non-archimedean K-theory and its applications to geometric problems Arithmetic invariants in positive characteristic Higher-dimensional class field theory constructions Monodromy representations and density theorems Publication Trends: Recent work demonstrates a consistent focus on K-theoretic invariants in arithmetic contexts, particularly through: Innovative applications to rigid analytic geometry Interactions between étale cohomology and representation theory Non-commutative generalizations of class field theory Awards: Minkowski Medal (2020) K-theory Prize (2014) Carus Medal (2011) Heinz Maier-Leibnitz Prize (2011) Cultural Prize of Bavaria (2009) Research Group: Current team members include Carolyn Echter, Lukas Krinner, Andrea Panontin, Yanshuai Qin, Yuenian Zhou, and Paul Ziegler, with research spanning arithmetic geometry and K-theory applications.
**Kate Ponto** is a **Professor** in the **Department of Mathematics** at the **University of Kentucky**, part of the **College of Arts & Sciences**. Her research focuses on **Topology and Geometry**, with expertise in **Homotopy Theory**, **Algebraic Topology**, and **Category Theory**. She is actively involved in the **UK Math Lab** and the **University of Kentucky Student Chapter of the Association for Women in Mathematics (AWM)**. Her work includes contributions to **K-theory**, **model categories**, and **traces in bicategories**. **Research Interests:** Topology, Geometry, Algebraic Topology, Homotopy Theory, Category Theory, K-Theory. She has published extensively on topics such as parametrized spectra, Riemann-Roch theorems, and homotopy invariants. **Teaching Roles:** Professor Kate Ponto has taught courses ranging from introductory calculus to advanced topics in topology, including **Topology II**, **Algebraic Topology**, and **Matrix Algebra**. She emphasizes student engagement and inquiry-based learning in courses like *Introduction to Topology*. **Affiliations and Activities:** She co-organizes the **University of Kentucky Topology Seminar** and has contributed to conferences such as the **Midwest Topology Seminar**. Her research has been published in journals like *International Mathematics Research Notices*, *Algebraic & Geometric Topology*, and *Theory and Applications of Categories*.
Jesse Wolfson is an Associate Professor and Vice-Chair for Inclusive Excellence in the Department of Mathematics at the University of California, Irvine. His research focuses on the interplay of arithmetic, geometry, and topology, with notable contributions to arithmetic topology, resolvent degree, and algebraic geometry. He co-directs the Southern California Geometry and Topology Center (SCGTC), an NSF Research Training Group (RTG) program actively recruiting graduate students in geometry and topology. He holds a PhD and has expertise spanning algebraic structures, homological algebra, and interdisciplinary applications such as fractals in music. His work bridges pure mathematics with educational outreach, including public lectures and collaborations with institutions like St. John’s College, Santa Fe. His email is wolfson@uci.edu , and he maintains an active research blog detailing his projects and collaborations. Wolfson’s research emphasizes foundational questions in mathematics, including Hilbert’s 13th problem and the epistemic role of proofs in AI. His recent talks and articles explore topics like prismatic cohomology, modular functions, and geometric gauge theories, reflecting his commitment to advancing both theoretical and applied mathematical frontiers.
Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).
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.
Ferit Öztürk is a Professor in the Mathematics Department at Bogazici University, specializing in singularity theory, contact topology, and symplectic topology. He leads the Geometry/Topology Seminar and supervises numerous graduate students in these fields. His research bridges topological methods with applications in robotics and dynamical systems. Recent work includes exotic manifold construction, real contact structures on 3-manifolds, and Morse-Bott theory on Lie groups. Dr. Öztürk holds a Ph.D. from Middle East Technical University (2001) and has developed course materials on Morse Theory and Projective Geometry. Student Supervision: 12+ M.S./Ph.D. students in topology and geometry Research Tools: Contact branched covers, real algebraic models, geometric surgery
Martin Bridson serves as President of the Clay Mathematics Institute since 2018 and holds the Whitehead Professorship of Pure Mathematics at the University of Oxford's Mathematical Institute, where he has been a Fellow of Magdalen College since 2007. Previously, he was Head of Oxford's Mathematical Institute (2015-2018), Professor of Pure Mathematics at Imperial College London (2002-2007), and Professor of Topology at Oxford (1999-2002). His academic journey began with undergraduate studies at Hertford College, Oxford, followed by PhD work at Cornell University. Bridson's research centers on Geometric Group Theory, Topology, and Spaces of Non-Positive Curvature. His work explores the deep connections between algebraic structures and geometric properties, particularly focusing on metric geometry, profinite completions, and the topology of non-positively curved spaces. His influential monograph "Metric Spaces of Non-Positive Curvature" (co-authored with André Haefliger) has become a foundational text in the field. His recent publications (2024-2025) demonstrate continued leadership in geometric group theory, with significant contributions to profinite rigidity, CAT(0) geometry, and automorphism groups. These works reveal evolving research directions toward computational aspects of group theory and deeper connections with low-dimensional topology. Steele Prize for Mathematical Exposition (2020, with Haefliger) Fellow of the Royal Society (2016) Fellow of the American Mathematical Society (2015) Royal Society Wolfson Research Merit Award (2012) London Mathematical Society Whitehead Prize (1999) Bridson has secured major research funding including EPSRC Senior Fellowships (2007-2012, 1997-2002), EPSRC Platform Grants (2010-2015), and multiple NSF grants. His leadership extends to directing the Mathematical Institute at Oxford and presiding over the Clay Mathematics Institute, where he influences global mathematical research directions. His collaborative work spans institutions including Princeton, Geneva, and Lausanne, reflecting his international research network.
Nicolai Kraus is a Professor of Theoretical Computer Science and Royal Society University Research Fellow at the University of Nottingham, working in the Functional Programming Lab. He was previously a member of the Birmingham Theory Group and at Eötvös Loránd University. He earned his PhD in 2015 from the University of Nottingham under the supervision of Thorsten Altenkirch, with his thesis titled "Truncation Levels in Homotopy Type Theory," for which he won the Ackermann award. His examiners were Julie Greemsmith (internal) and Steve Awodey (external). Kraus works primarily in dependent type theory (with Agda as his favorite proof assistant), with a main focus on homotopy type theory and higher categories. His research extends to constructive and non-constructive mathematics more broadly, exploring the connections between different mathematical structures within type theory frameworks. He has made significant contributions to the understanding of higher inductive types, set quotients, and the implementation of type theory in proof assistants. His recent publications demonstrate a consistent focus on homotopy type theory and its applications. His work explores the connections between type theory and classical mathematics, particularly in areas like ordinal arithmetic, higher categorical structures, and formal verification. He has developed novel approaches to coherence theorems, set-theoretic constructions in type theory, and the implementation of higher-dimensional structures. He was awarded the Ackermann award for his PhD thesis on "Truncation Levels in Homotopy Type Theory." Kraus currently supervises several PhD students and postdocs, including Aref Mohammadzadeh, Tom de Jong, Stiéphen Pradal, and Joshua Chen. He also serves as a second supervisor for Johannes Schipp von Branitz and Stefania Damato. Starting in 2025, he will lead an ERC (European Research Council) project in dependent type theory. He is a member of the Functional Programming Lab at the University of Nottingham and has organized several academic events including the "Types, Thorsten and Theories" workshop, Midlands Graduate School events, and Agda Implementors' Meetings.
Gregory R. Chambers serves as an Assistant Professor in the Department of Mathematics at Rice University, conducting research at the intersection of metric geometry and geometric analysis. His work addresses quantitative topology, min-max theory, and isoperimetric inequalities, with applications in stability estimates and symmetrization methods. Chambers actively contributes to the academic community through co-organizing Rice University's Geometry Seminar. Education: B.S. from the University of Toronto (2009) Ph.D. from the University of Toronto (2014) Prior to joining Rice, Chambers held an L.E. Dickson Instructorship at the University of Chicago. His research program investigates geometric problems using quantitative approaches, with recent publications focusing on the square peg problem, geodesic nets, and monotone homotopies. Current work demonstrates a trend toward discrete geometric analysis, including cubical isoperimetric problems and Uryson width, while maintaining connections to classical minimal surface theory and stability of geometric inequalities. Scientific Awards: No awards documented in available sources. Advising and Grants: No information regarding student advisees or research funding is provided in the text. Labs and Teams: Chambers co-organizes Rice University's Geometry Seminar, facilitating collaborative research discussions in geometric mathematics.
Paul Wedrich is a Professor (permanent W2) at the Department of Mathematics, University of Hamburg. He is a member of the management committee for the Collaborative Research Center Higher Structures, moduli spaces and integrability , a PI in the Cluster of Excellence Quantum Universe , and spokesperson for the Mathematisches Seminar der Universität Hamburg . He coordinates the Erasmus+ programme and serves as an equal opportunity representative at his department. His research bridges low-dimensional topology, representation theory, and mathematical physics, with a focus on topological quantum field theories (TQFTs), categorified quantum invariants, and higher structures in link homology. He has developed diagrammatic frameworks for categorification, including Soergel bimodules and gl(N) link homology theories, and explores connections to Hilbert schemes, skein modules, and quantum topology. The 15 most recent articles highlight his work on categorified braid group actions, Kirby colors in Khovanov homology, skein lasagna modules for 4-manifolds, and deformations of colored link homologies. These contributions span quantum algebra, category theory, and geometric representation theory, with applications to topological field theories and mathematical physics. Scientific awards include Fellow of the Higher Education Academy and recognition as Lecturer of the Semester (Summer 2022) at the University of Hamburg. He supervises doctoral researchers and co-organizes international workshops and conferences, such as the Quantum Topology and Categorification (QTcat) seminar. His teaching portfolio includes advanced courses on representation theory, algebra, and quantum topology.
Wayne Aitken is a Professor of Mathematics at California State University, San Marcos , where he focuses on expository writing, educational materials, and research in foundational mathematics. His work spans algebra, number theory, and topology, with a strong emphasis on rigorous exposition and pedagogical clarity. Academic Affiliation: Professor of Mathematics at California State University, San Marcos Contact: waitken@csusm.edu Research Interests: Wayne’s research and writing center on algebra, number theory, and topology. He has produced extensive essays on topics such as Galois theory, Dedekind domains, freely representable groups, and the foundations of mathematics. His work often bridges abstract concepts with accessible frameworks for graduate and advanced undergraduate students. Article Trends: His recent and ongoing publications include translations with commentary (e.g., Emil Artin’s L-series), expository guides on number systems and topology, and in-depth reports on algebraic structures. These works emphasize logical rigor, historical context, and pedagogical utility. Collaborations: He has co-authored works with L. Holt (on number systems) and F. Lemmermeyer (on the Hasse principle). His expository projects include translations, worksheets, and multi-part topology reviews. Future Projects: He plans to expand his writings to cover topics like Naive class theory (NBG set theory) and further foundational areas such as category theory and geometry.
Robert D. Gray is a Professor of Mathematics at the School of Mathematics, University of East Anglia. His research focuses on combinatorial and geometric group and semigroup theory, algorithmic problems in algebra, decidability, homological finiteness properties, and group actions on graphs and topological spaces. EPSRC Research Fellow Editorial Board: International Journal of Algebra and Computation Available for PhD supervision in semigroup and inverse monoid theory His recent work explores: Topological finiteness properties of monoids Undecidability in one-relator inverse monoids Algorithmic properties of inverse monoids Maximal subgroups in special inverse monoids Key article trends include: Geometric and algorithmic aspects of inverse monoids Homological properties of semigroups Connections between group theory and semigroup theory Applications to graph theory and automata Scientific Awards: EPSRC Fellowship EP/V032003/1 EPSRC grant EP/N033353/1 EPSRC Postdoctoral Fellowship EP/E043194/1 Contact: Room S1.29, School of Mathematics, University of East Anglia, Norwich NR4 7TJ. Email: Robert.D.Gray@uea.ac.uk . Phone: +44 1603 591443.
