جستجوی استاد راهنمای دانشگاهی

Mark Kambites is a Professor of Pure Mathematics at the University of Manchester , affiliated with the Department of Mathematics. His research focuses on semigroup theory, tropical algebra, geometric group theory, and formal languages. He holds roles including membership in the EPSRC Strategic Advisory Team (SAT) and editorial positions in journals like the International Journal of Algebra and Computation. Education: M.Math. Mathematics and Computer Science, University of York (2000) Ph.D. Pure Mathematics, University of York (2003) Research Interests: Kambites explores semigroup structures, tropical algebra's applications, and interactions between algebra and geometry. Key areas include matrix semigroups over tropical semifields, combinatorial group theory, and computational complexity. His work bridges pure mathematics and theoretical computer science. Grants and Collaborations: Leads the Centre for Digital Trust and Society (EPSRC-funded) and collaborates internationally. Serves as central organizer of the North British Semigroups and Applications Network (NBSAN). Affiliations: Active in the Algebra Group, Tropical Mathematics Group, and Data Science Institute at Manchester. Supervises PhD/MSc students in algebraic and computational mathematics.

• Semigroup Theory
• Tropical Algebra
• Geometric Group Theory
• +۵ مورد دیگر

David M Evans holds the position of Chair in Pure Mathematics at the Department of Mathematics, Faculty of Natural Sciences, Imperial College London. His academic career spans several decades with continuous research contributions in mathematical logic and its interdisciplinary applications. Professor Evans' research focuses on the theoretical foundations and practical applications of Model Theory, with particular emphasis on: Stability theory and its generalizations within model-theoretic frameworks Hrushovski constructions and their geometric properties Interactions between model theory, algebra, and combinatorics Automorphism groups of infinite structures Ramsey properties in sparse graphs and metric spaces His publication record demonstrates consistent innovation in geometric model theory, with recent work exploring amalgamation properties in measured structures, simplicity of automorphism groups, and EPPA (Extension Property for Partial Automorphisms) in various mathematical structures. His research bridges abstract model-theoretic concepts with concrete combinatorial and algebraic applications, particularly in the study of homogeneous structures and their automorphism groups. Professor Evans has supervised numerous doctoral students including D. G. D. Gray, Reinhold Konnerth, Herwig Nuebling, Marco Antonio Semana Ferreira, Yibei Li, and Robert Sullivan. His research has been supported by grants such as 'Model theory of generic structures and simple theories' and the 'Workshop on Pure Model Theory,' reflecting the significance of his contributions to the field.

• Model Theory
• Mathematical Logic
• Algebra
• +۴ مورد دیگر

Prof. Dr. Martin Hils is a Professor of Mathematical Logic at the University of Münster's Faculty of Mathematics and Computer Science, affiliated with the Institut für Mathematische Logik und Grundlagenforschung. His expertise lies in model theory and set theory, focusing on geometric stability, simplicity theory, valued fields with automorphisms, and Hrushovski amalgamation. Education: Habilitation in Mathematics (2013, Université Paris Diderot) PhD in Mathematics (2006, Université Paris 7 and Lyon 1) Master (DEA) in Logic and Computer Science (2002, Paris 7) Diploma in Mathematics with Philosophy (2001, University of Bonn) Research Interests: Model theory of valued fields, geometric stability/simplicity theories, Hrushovski amalgamation techniques, and applications to algebraic geometry and differential fields. His work bridges abstract model theory with concrete mathematical structures. Recent Research Trends: Focus on non-archimedean geometry, separably closed valued fields, Lang-Weil estimates in difference fields, and definable retraction principles. His articles explore topics like Ax-Kochen-Ershov principles, domination monoids in valued fields, and beautiful pairs in unstable theories. Grants & Projects: Lead investigator in DFG Cluster of Excellence EXC 2044 (Groups, Model Theory and Sets) Principal investigator in 'Model Theory of Valued Fields with Endomorphism' (DFG 2022-2025) GeoMod project (geometric/combinatorial configurations in model theory, DFG 2020-2024) Contributor to SFB 878 (model theory of valued fields and definable groups) Teaching & Supervision: Current courses include Model Theory of Pseudofinite Fields and Logic Foundations. Supervised PhD students include Pierre Touchard (2020) and Rémi Jaoui (2017). Jointly supervises Simone Ramello and Zixuan Zhu. Editorial Work: Editor-in-chief of Model Theory journal. Authored textbook A First Journey through Logic (AMS 2019).

• Model Theory
• Set Theory
• Geometric Stability Theory
• +۴ مورد دیگر

Dr. Maxime Ramzi is a Researcher at the University of Münster, affiliated with the Mathematisches Institut and the Faculty of Mathematics and Computer Science. He is an Investigator in Mathematics Münster and a member of the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity'. Previously, he completed his PhD at the University of Copenhagen under the supervision of Jesper Grodal and Markus Land. His research focuses on advanced topics in topology, including algebraic topology, homotopy theory, and category theory, with particular emphasis on ∞-categories, motives, and homological algebra. His recent publications explore foundational questions in these areas, such as the universality of Barwick’s unfurling construction and the properties of topological Hochschild homology. Ramzi collaborates with leading mathematicians like Thomas Nikolaus, Arthur Bartels, and Maria Yakerson. His work contributes to the 'K-Groups and Cohomology' research program within Mathematics Münster. Despite no listed scientific awards, his academic trajectory reflects a strong focus on innovative research in geometric and algebraic topology. Education: PhD in Mathematics, University of Copenhagen (2024) Supervisors: Jesper Grodal and Markus Land Research Interests: Algebraic Topology: Homotopy Theory, ∞-Categories Categorical Structures: Motives, Stable Homotopy Theory Applications in Algebraic Geometry and K-Theory Grants & Projects: Member of CRC 1442 'Geometry: Deformations and Rigidity' Contributor to 'K-Groups and Cohomology' (T1) program Labs/Teams: Active in the working groups of Professors Thomas Nikolaus and Arthur Bartels at the University of Münster.

• Topology
• Algebraic Topology
• Homotopy Theory
• +۳ مورد دیگر

**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*.

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

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.

• Combinatorial group theory
• Geometric semigroup theory
• Algorithmic problems in algebra
• +۶ مورد دیگر

Tullio Ceccherini Silberstein is an Associate Professor of Mathematical Analysis in the Department of Engineering at the University of Sannio, Italy. He also maintains an affiliation with the Istituto Nazionale di Alta Matematica 'Francesco Severi' in Rome. His teaching responsibilities include Mathematics courses for Civil Engineering and Energy Engineering programs. His primary research interests span Mathematical Analysis, Group Theory, Cellular Automata, Harmonic Analysis, Representation Theory, and Symbolic Dynamics. His work has significantly contributed to the understanding of the Garden of Eden theorem for cellular automata, finite Gelfand pairs, and ergodic properties of dynamical systems. His research demonstrates strong connections between algebraic structures, combinatorial methods, and dynamical systems. Analysis of his recent publications reveals a continued focus on the intersection of algebraic structures and dynamical systems, with particular emphasis on sofic groups, surjunctivity, and the Garden of Eden theorem across various mathematical contexts. His work shows evolution from foundational studies in cellular automata to increasingly sophisticated applications in group theory and algebraic dynamics. Throughout his career, Ceccherini Silberstein has maintained an active presence in the mathematical community through numerous conference presentations and collaborations, particularly with Michel Coornaert. His work bridges theoretical mathematics with applications in symbolic dynamics and computational group theory.

• Mathematical Analysis
• Group Theory
• Cellular Automata
• +۵ مورد دیگر

James East is an Associate Professor at the Western Sydney University , affiliated with the School of Computer, Data and Mathematical Sciences and the Centre for Research in Mathematics and Data Science. He served as an ARC Future Fellow from 2020 to 2023. PhD in Mathematics (2006) from the University of Sydney Postdoctoral fellowships at La Trobe University (2006-2007) and University of Sydney (2008-2010) His research focuses on algebraic and combinatorial semigroup theory , particularly transformation semigroups, diagram monoids, braid groups, and congruences. Trends in his recent work include studies of free projection/Idempotent-generated semigroups, twisted monoid products, tensor/category presentations, and lattice path structures. He serves on the editorial boards of the Journal of the Australian Mathematical Society and Communications in Algebra . Scientific awards : ARC Future Fellow (2020-2023) Current students/postdocs : Chad Clark (PhD student) Matthias Fresacher (PhD student) Azeef Muhammed Parayil Ajmal (Postdoctoral Fellow) He co-founded the Association of Australian Mathematics Students and actively promotes visual mathematics through tools like the Semigroups package for GAP .

• Algebraic Semigroup Theory
• Combinatorial Semigroup Theory
• Transformation Semigroups
• +۷ مورد دیگر

Professor Daniel Wise is a James McGill Professor in the Department of Mathematics and Statistics at McGill University. His research focuses on Geometric Group Theory, with contributions to the study of cubical complexes, hyperbolic groups, and subgroup structures. He is renowned for his work on the virtually special cube complexes, which has had profound implications in low-dimensional topology and geometric group theory. Dr. Wise has received prestigious awards, including the 2016 Guggenheim Fellowship and the 2016 Jeffrey-Williams Prize. His research interests span geometric group theory, topology, and combinatorial group theory, with a particular emphasis on the interplay between algebraic properties of groups and their geometric realizations. He has authored influential papers on topics such as cubulation of groups, growth rates of subgroups, and the structure of hyperbolic groups. His work has been recognized through collaborations with leading institutions and his contributions to resolving key conjectures in the field. Dr. Wise’s research also touches on cube complexes, nonpositive curvature, and the geometry of 3-manifolds.

• Geometric Group Theory
• Geometry
• Topology
• +۳ مورد دیگر

Marianne Johnson is a Senior Lecturer in the School of Mathematics at the University of Manchester. She is a core member of the tropical mathematics research group and collaborates with institutions including Birmingham, Queen Mary University of London, and Warwick through an LMS Joint Research Network. Her research focuses on algebra and combinatorics, including free Lie algebras, representation theory, semigroup theory, and tropical algebra/geometry. She has contributed to EPSRC-funded projects such as 'Multiplicative Structure of Tropical Matrix Algebra' and 'Modular Lie Powers and Applications,' and participated in the CICADA interdisciplinary project. Her research interests span a wide array of algebraic topics: free Lie algebras explore the structure of non-associative algebras, while representation theory examines how algebraic structures act on vector spaces. Semigroup theory and tropical algebra involve studying combinatorial and geometric properties of matrices and monoids over semirings. Recent work includes studies on plactic-like monoids, tropical matrix identities, and linear functions preserving Green's relations. Johnson has co-authored over 29 publications, with recent trends emphasizing tropical algebra's applications to geometric and algorithmic problems, such as tropical matrix groups and hyperplane arrangements. Her work bridges pure mathematics with interdisciplinary fields like computational dynamics and healthcare through collaborations like CICADA. Notable projects include analyzing upper triangular tropical matrices and exploring NP-completeness in gossip monoids. She has advised three research students and contributed to grants involving EPSRC-funded projects. Her affiliations include the Data Science Institute, Algebra research group, and Tropical Mathematics cluster at Manchester. Her work also intersects with Digital Futures initiatives, reflecting her commitment to advancing computational and theoretical mathematics.

• Algebra
• Representation Theory
• Semigroup Theory
• +۳ مورد دیگر

Michael Pinsker is a full professor and head of the Research Unit Algebra at the Vienna University of Technology. He is a leading researcher in universal algebra, model theory, and theoretical computer science, with a strong focus on constraint satisfaction problems (CSPs), particularly over infinite domains. He is deeply involved in the Vienna School of Mathematics and serves on the steering committees of the Workshop on General Algebra and the CSP World Congress (CWC), which he regularly co-organizes. Principal Investigator, ERC Synergy Grant POCOCOP (2023–2029) Principal Investigator, FWF-NCN Project on Constraint Satisfaction (2022–2026) Associate Editor, Algebra Universalis (Springer) Member, Executive Board, Vienna School of Mathematics His research lies at the intersection of algebra, logic, and computation, emphasizing the algebraic and model-theoretic analysis of infinite structures to understand the complexity of CSPs. He investigates how symmetry, topology, and polymorphisms govern tractability and hardness. His work often connects Ramsey theory and homogeneous structures with computational problems. His recent publications reveal a sustained focus on infinite-domain CSPs, particularly through algebraic methods like polymorphisms, smooth approximations, and topological clones. Trends include collapsing width hierarchies, establishing hardness criteria for infinite digraphs, and developing new algorithms based on symmetry and consistency. His work bridges finite and infinite model theory, aiming to unify complexity classification frameworks. ERC Synergy Grant POCOCOP (2023) Distinguished Paper Award, LICS 2023 Pinsker actively mentors PhD students and postdoctoral researchers, including current advisees like Johanna Brunar, Moritz Schöbi, Roman Feller, and Christoph Spiess. He has advised former PhD students Clemens Schindler, Tomas Nagy, and Michael Kompatscher. He leads major research projects funded by the European Research Council and national science foundations, indicating significant grant leadership. His collaborative network includes Libor Barto, Manuel Bodirsky, and Marcin Kozik. He leads the Research Unit Algebra at TU Wien, which includes faculty, postdocs, PhD students, and project managers working on universal algebra and CSPs. He co-organizes major annual events like the CSP World Congress and the Early Student Award meetings of the Austrian Mathematical Society, fostering community and collaboration.

• Universal Algebra
• Model Theory
• Theoretical Computer Science
• +۷ مورد دیگر

Martyn Quick is a Senior Lecturer in Pure Mathematics at the University of St Andrews, affiliated with the School of Mathematics & Statistics and the Pure Mathematics Centre for Interdisciplinary Research in Computational Algebra. His research focuses on structural properties of groups and algebraic structures, including generating sets, probabilistic generation of finite/profinite groups, and topological-algebraic links in profinite groups. He has contributed to understanding groups arising from combinatorial transformations and has held roles in editorial boards, such as the Proceedings of the Edinburgh Mathematical Society . Education: D.Phil. (PhD) in Mathematics, University of Oxford (1995) Doctoral qualifying dissertation on identical relations in groups of exponent four (1992) Research Interests: Group theory, including finite and infinite groups Profinite groups and their topological structures Automorphism groups of ordered and algebraically closed structures Maximal subgroups and generating sets in Thompson's group V Applications of semigroup theory and wreath products Recent Trends in Publications: Recent work emphasizes Thompson's group V, maximal subgroups, wreath products of finite groups, and separability properties in semigroups. His studies bridge algebraic and combinatorial aspects, with applications to geometric group theory and computational algebra. Affiliations & Activities: Editorial board member for the Proceedings of the Edinburgh Mathematical Society (2018–2021) Co-Investigator on EPSRC-funded projects in algebra and computational algebra (2005–2014) Organizer and participant in international conferences like Groups St Andrews and British Mathematical Colloquium Labs/Teams: Collaborates with interdisciplinary teams at the Centre for Interdisciplinary Research in Computational Algebra, focusing on algebraic structures and computational methods.

• Group Theory
• Algebraic Structures
• Profinite Groups
• +۶ مورد دیگر

Victoria Gould is Professor of Mathematics at the University of York with extensive experience in algebraic research and supervision. Her research focuses on semigroup theory, endomorphism monoids, and algebraic structures. Primary research interests include structure theory for semigroups, endomorphism monoids of universal algebras, semigroups of quotients, S-acts over monoids, and T-posets. Recent work emphasizes free idempotent generated semigroups. Current doctoral students include Levent Dasar and Jamie Smith. Professor Gould maintains editorial roles at Semigroup Forum and serves as Vice President of the European Mathematical Society.

• Algebra
• Semigroup Theory
• Endomorphism Monoids
• +۲ مورد دیگر

Alastair King is a Professor in the Department of Mathematical Sciences at the University of Bath. His research spans algebra, geometry, and theoretical physics, with primary affiliations in mathematical sciences. His research focuses on non-commutative algebraic geometry, particularly moduli spaces of coherent sheaves, derived equivalences, cluster algebras, and their connections to dimer models in string theory. Key areas include: Non-commutative Algebraic Geometry Cluster Algebras and Categories Dimer Models and Theoretical Physics Moduli Spaces and Representation Theory Recent publications (2020-2024) reveal strong trends in cluster algebra applications, mirror symmetry for Grassmannians, and dimer partition functions. His work consistently bridges abstract algebra with theoretical physics, particularly through string theory frameworks and geometric representation theory. Scientific contributions include: 32 research outputs (29 articles, 2 preprints, 1 book chapter) Supervision of 8 research students Active collaborations across international networks His advising record shows consistent mentorship of graduate researchers, with recent supervised work focusing on categorification, quantum Grassmannians, and cluster exchange groupoids. While specific grants aren't detailed, his international collaborations indicate significant research funding support. His work maintains strong connections to both pure mathematics and theoretical physics communities through ongoing projects in non-commutative geometry.

• Non-commutative Algebraic Geometry
• Cluster Algebras
• Moduli Spaces
• +۵ مورد دیگر

Morgan Rogers is an Associate Professor specializing in category theory, with a focus on abstractions that isolate essential problem-solving features. His research centers on toposes of actions of monoids and expanding mathematical toolkits. His work bridges mathematical logic, algebraic structures, and theoretical computer science, developing frameworks for understanding complex systems through categorical approaches. His research interests include category theory, topos theory, and algebraic structures, with applications in lambda calculus, linear logic, and topological dynamics. Recent publications explore geometric theories, endomorphism monoids, and factorization systems in categorical frameworks. Rogers' articles demonstrate consistent focus on categorical foundations of algebra and logic, with innovations in modeling computational systems and topological representations. Theoretical contributions advance understanding of monoid actions and their categorical representations.

• Category Theory
• Topos Theory
• Mathematical Logic
• +۱ مورد دیگر