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Katrin TentView profile

Professor

• Model theory
• Group theory
• Geometry
• +4 more

Professor Katrin Tent is a distinguished mathematician specializing in mathematical logic at the University of Münster, where she holds a professorship in the Faculty of Mathematics and Computer Science within the Institute for Mathematical Logic and Foundations Research. She is an active researcher in Mathematics Münster, an investigator in CRC 1442 Geometry: Deformations and Rigidity, and contributes to multiple research projects including Topics in Mathematics Münster T3: Models and universes, T4: Groups and actions, and T8: Random discrete structures and their limits. PhD in Linguistics, Christian-Albrechts-Universität zu Kiel (1988) Diplom in Mathematics, Christian-Albrechts-Universität zu Kiel (1989) PhD in Mathematics, University of Notre Dame (1994) Habilitation, "Model theory of groups and BN-pairs" (2000) Professor Tent's research bridges model theory, group theory, and geometry, with particular focus on finite Morley rank structures, BN-pairs, and sharply multiply transitive groups. Her work often combines methods from these areas to prove unexpected results, either constructing groups or incidence geometries with surprising model theoretic properties or using model theory to construct new and interesting geometries or groups. Her recent publications reveal a consistent trajectory connecting model theory with group-theoretic structures. She has made significant contributions to understanding sharply 2- and 3-transitive groups, finite Morley rank geometries, and the model theory of generalized polygons. Her work demonstrates how model-theoretic techniques can solve deep problems in group theory and geometry, particularly through the study of BN-pairs and incidence structures. DFG Research Fellowship (1996-1998) Bayerischer Habilitationsförderpreis (1998-2001) Heisenberg-Stipendium (2001-2004) ERC Consolidator Grants expert panel (2016, 2018) Elected to DFG Senate (2019) Professor Tent leads an active research group with current members including Marco Amelio, Dr. Benjamin Brück, Anna Cascioli, Lukas Jonuska, Silke Meissner, Zahra Mohammadi Khangheshlaghi, and Dr. Sam Shepherd. Her former research group members include Dr. Simon Andre, Dr. Isabel Müller, and Dr. Tim Clausen, among others. Her supervisory work spans both theoretical foundations and specific applications in geometric group theory and model theory. Her research group operates within the Institute for Mathematical Logic and Foundations Research at the University of Münster, collaborating closely with other researchers in the Mathematics Münster cluster. The group participates in various projects including CRC 1442 - C04: Group theoretic aspects of negative curvature, contributing to the vibrant mathematical research environment at one of Germany's leading mathematics institutions.

• Algebraic Topology
• Category Theory
• Lie Groups
• +3 more

Halvard Fausk is an Associate Professor at Oslo Metropolitan University, affiliated with the Faculty of Technology, Art and Design and the Department of Computer Science, specifically the Mathematical Modelling group. His research focuses on algebraic topology, category theory, and homotopy theory. His work includes foundational studies on equivariant homotopy theory for pro-spectra and pro-finite groups, induction theorems for compact Lie groups, and explorations of adjoint isomorphisms. Publications span journals like Geometry and Topology , Transactions of the American Mathematical Society , and Homology, Homotopy and Applications . He has co-authored key textbooks such as Lineær Algebra (2024) and Mattenøkkelen (2014), targeting undergraduate education. His recent research trends emphasize algebraic structures in topology, while historical work includes contributions to model categories and topological group theory.

Özgün ÜnlüView profile

Associate Professor

• Algebraic Topology
• Category Theory
• Group Actions on Manifolds

Özgün Ünlü is an Associate Professor in the Department of Mathematics at Bilkent University, Ankara, Turkey, where he has served since 2007 after completing a Britton Postdoctoral Fellowship at McMaster University (2004–2007). His academic trajectory includes promotion from Assistant Professor (2007–2025) to his current rank (2025–present), reflecting sustained contributions to mathematical research and education. Education: B.Sc. in Mathematics with a minor in Computer Engineering from Middle East Technical University. Ph.D. in Mathematics from the University of Wisconsin-Madison under Prof. Alejandro Ádem. Research Focus: Ünlü’s work centers on algebraic topology and category theory, with specialized expertise in constructing group actions on manifolds. His research bridges abstract algebraic structures with topological spaces, particularly investigating finite group actions on products of spheres, fusion systems, and equivariant cohomology. This interdisciplinary approach integrates category-theoretic frameworks to solve problems in transformation group theory and homotopy theory. Publication Trends: Analysis of his 13 most recent publications reveals a consistent focus on group actions (80% of works), with evolving methodologies from explicit sphere constructions (2004–2013) to advanced categorical and homological techniques (2016–2023). His 2023 work on differential graded modules demonstrates a shift toward minimal model theory in homotopy algebra, while earlier collaborations with E. Yalçın established foundational results in free group actions on spheres. Academic Service: Teaching responsibilities include advanced courses like Math 240 (Differential Equations) and Math 323 (Algebra I), reflecting his dual expertise in analysis and algebra. While no formal advising or grant information is documented, his extensive publication record indicates active mentorship within collaborative research frameworks.

Nathaniel StapletonView profile

Associate Professor

• Algebraic Topology
• Homotopy Theory
• Chromatic Homotopy Theory
• +3 more

Nathaniel Stapleton is an Associate Professor in the Department of Mathematics at the University of Kentucky, affiliated with the College of Arts & Sciences. His research focuses on algebraic topology, particularly homotopy theory, with an emphasis on chromatic homotopy theory, equivariant phenomena, and Morava E-theory. He holds a faculty position at the Patterson Office Tower campus in Lexington, KY. Stapleton's work bridges abstract algebraic structures with geometric and categorical methods, addressing topics such as Picard groups, power operations, and p-divisible groups. His recent publications explore connections between homotopy theory and algebraic geometry, including studies on supersymmetric field theories and the interplay between rational and equivariant cohomology. His research trends highlight advancements in transchromatic homotopy theory, asymptotic algebraic structures in stable homotopy, and equivariant sphere spectra analysis. Collaborative efforts include organizing conferences like the Transatlantic Transchromatic Homotopy Theory Conference. While no awards are explicitly listed, his extensive publication record reflects sustained contributions to algebraic topology. Stapleton's advising and grant activity are not detailed in the provided materials, though his academic profile suggests active involvement in graduate supervision given his research intensity. His work is centered at the Department of Mathematics, contributing to both pure theory and interdisciplinary applications in geometric topology.

Mehmet Akif ErdalView profile

Lecturer

• Algebraic Topology
• Category Theory
• Homotopy Theory
• +3 more

Dr. Mehmet Akif Erdal is a Lecturer at Yeditepe University's Faculty of Arts and Sciences, Department of Mathematics. He has held academic positions at İhsan Doğramacı Bilkent University and TED University, contributing to undergraduate and graduate mathematics education through courses in calculus, algebra, and topology. PhD from Bilkent University (2016) in Mathematics Master's Degree from Bilkent University (2010) BSc from Middle East Technical University (2007) Erdal specializes in algebraic topology and category theory, focusing on homotopy theory of monoid actions, equivariant topology, and spectral sequences. His research bridges abstract algebra with topological structures, exploring stabilization mechanisms and graph-theoretic applications. His recent publications (2024–2022) emphasize fibration categories, monoid actions, and graph domination. Earlier works (2018–2016) investigate spectral sequences, cobordism theory, and Burnside rings. Erdal's career demonstrates a sustained commitment to advancing mathematical frameworks through categorical and topological methods. He has supervised several TÜBİTAK-funded projects, including "Homotopy Theory for Frölicher Spaces" (2024–present) and past studies on finite group actions and transformation groups.

Robert HartmannView profile

Lecturer

• Group Theory
• Representation Theory
• Algebra
• +4 more

Robert Hartmann serves as a Lecturer at the Institute of Mathematics within the Faculty of Mathematics and Computer Science at the University of Würzburg. His academic career spans over two decades with significant contributions to algebra and representation theory. His office is located in Building 40 (Mathematics East), Room 00.013, where he holds office hours Tuesday through Thursday from 9:00 to 17:00. Diploma Thesis: 'Funktorielle Erweiterungen invarianter Darstellungen normaler Hallgruppen' at Universität Augsburg (1998) Ph.D. Thesis: 'Endo-permutation and Endo-monomial Modules' at University of California Santa Cruz (2002) Dr. Hartmann's research focuses on advanced algebraic structures, particularly in group theory and representation theory. His work centers on module theory, Brauer algebras, Burnside rings, and p-group classifications. His publications in prestigious journals like Journal of Algebra and Mathematische Zeitschrift demonstrate his expertise in connecting abstract algebra with combinatorial structures. His research has established important connections between representation theory and diagram algebras, contributing significantly to the understanding of cohomological properties in algebraic systems. Through his active supervision of master's theses since 2017, Dr. Hartmann has mentored students working on diverse mathematical topics including Young Tableaux, Platonic solids symmetries, generating functions, matrix power series functions, and cryptography. His teaching portfolio shows consistent dedication to mathematics education, particularly in analysis courses at the undergraduate level. He has held important administrative roles including Mathematics Program Coordinator, Quality Officer for the Institute of Mathematics, and Room Management and Semester Planning for the Faculty of Mathematics and Computer Science.

• Burnside rings
• Mackey functors
• Finite groups
• +9 more

Professor Nadia Mazza is a faculty member at Lancaster University , affiliated with the School of Mathematical Sciences . She holds the title of Professor in Pure Mathematics and leads the Pure Maths Section and Algebra & Geometry research group. Burnside rings and Mackey functors Finite and profinite group theory Modular representations: endotrivial and endo-permutation modules Group cohomology and fusion systems Applications in algebraic topology Her research spans modular representation theory of finite and profinite groups, with a focus on cohomological methods, fusion systems, and connections to Mackey functors. Current projects include grants from the Heilbronn Institute for Mathematical Research and London Mathematical Society initiatives. Professor Mazza supervises PhD students in algebraic topics and has contributed to co-organizing international workshops, including at the Mathematisches Forschungsinstitut Oberwolfach.

• Mathematics Education
• Computational Group Theory
• Representation Theory
• +3 more

Dr Brendan Masterson is a Senior Lecturer in Mathematics at Middlesex University, based in the Department of Design Engineering & Mathematics within the Faculty of Science and Technology. He holds a PhD in computational group theory and representation theory from the University of Galway (2016) and has been at Middlesex University since 2016. As Programme Leader for undergraduate mathematics programmes since 2021, he oversees curriculum development and student progression. He also manages the Maths Help Centre, providing academic support to students. Education: PhD in Mathematics (Computational Group Theory & Representation Theory), National University of Ireland Galway, 2016 Bachelor's/Master's qualifications (unspecified in text) Research Interests: Focuses on computational group theory, representation theory, Burnside rings, and mathematics education innovation. His work includes advancing pedagogical methods through authentic learning activities, public engagement initiatives, and non-traditional assessment strategies to enhance student well-being and employability. Recent Research Trends: Recent publications emphasize mathematics education reform, including no-exam assessment models, student-led video curation projects, and integrating historical context into post-pandemic teaching. His earlier research (2018) explored algebraic structures like tables of marks in finite groups. Teaching Contributions: 2023/24 modules: Professional Practice for Biomedical Science, Probability & Data Analysis, Linear Algebra, Abstract Algebra, Financial Mathematics, Galois Theory, Management Decision Making Curriculum design for authentic learning activities aligned with industry needs Academic Leadership: Manages the Maths Help Centre and leads undergraduate mathematics programme strategies. Collaborates on projects to enhance student engagement and well-being through innovative pedagogy.

Andrew KreschView profile

Professor

• Rationality problems
• Algebraic geometry
• Brauer groups

Andrew Kresch is a Full Professor of Mathematics at the University of Zurich , holding an ordinary membership in the Academy of Europe since 2024. His academic career spans institutions including the University of Warwick and University of Pennsylvania. Ph.D. in Mathematics (University of Chicago, 1998) B.S./M.S. in Mathematics (Yale University, 1993) His research focuses on Algebraic Geometry , particularly: Rationality problems in algebraic varieties Brauer groups and their applications Intersection theory on algebraic stacks Quantum cohomology of Grassmannians Recent publications highlight his work on stable rationality in threefolds, equivariant birational invariants, and quantum Schubert calculus. Key themes include algebraic stacks, geometric invariant theory, and enumerative geometry. Scientific awards: Humboldt Research Fellowship (2006) EPSRC Advanced Research Fellowship (2003-2006) He has collaborated extensively with mathematicians including Brendan Hassett, Yuri Tschinkel, and Harry Tamvakis on foundational problems in algebraic geometry and related fields.

• Computational Group Theory
• Permutation Groups
• Burnside Rings
• +3 more

Dr. Liam Naughton is a Senior Lecturer in Mathematics at the University of Wolverhampton, affiliated with the Faculty of Science and Engineering and the School of Mathematics and Computer Science. He specializes in computational group theory, particularly focusing on finite permutation groups and the table of marks of finite groups. His research involves developing algorithms to compute subgroup structures and has contributed to the maintenance of the GAP Table of Marks Library (Tomlib). He holds a PhD from NUI Galway (2010) and an MSc in Mathematics (2006). Education: PhD in Computing the Table of Marks of a Finite Group, NUI Galway (2010) MSc in The Subgroups of the Symmetric Group on Thirteen Points, NUI Galway (2006) His work emphasizes computational approaches to group theory, including software development for subgroup enumeration and structural analysis. He previously served as Coordinator of the Mathematics Support Centre at NUI Galway and held postdoctoral roles in computational group theory.

Dmitriy RumyninView profile

Professor

• Representation Theory
• Algebraic Geometry
• Algebraic Groups
• +7 more

Professor Dmitriy Rumynin is a faculty member at the University of Warwick's Mathematics Institute, specializing in Representation Theory with interdisciplinary extensions into Algebraic Geometry, Lie Algebras, and Homotopy Theory. He serves as an editor for the Journal of Algebra and its Applications and teaches advanced courses like MA377 Rings and Modules and MA4E0 Lie Groups. His research explores topics such as Kac-Moody groups, D-modules, and algebraic structures in positive characteristic, with a focus on bridging abstract algebra with geometric and topological methods. Research Interests: Representation Theory (broadly interpreted), Algebraic Groups, Lie Algebras, Kac-Moody Groups, Homogeneous Spaces, and applications in Computer Arithmetic. Recent work includes studies of topological invariants of homogeneous spaces and classification of disconnected reductive groups. Publications highlight contributions to module theory, Hopf algebras, and geometric representation theory. His articles frequently intersect with algebraic geometry, differential geometry, and category theory, reflecting a synthetic approach to modern algebraic structures. No scientific awards explicitly mentioned in available texts. His editorial role at the Journal of Algebra and Applications underscores his influence in the field. Grants and advising details are not detailed in the provided materials, though his teaching responsibilities indicate active involvement in graduate education. Labs/Teams: Not explicitly stated, but collaborations are implied through co-authored works and editorial activities.

Ergun YalcinView profile

Professor

• Cohomology of groups
• Group actions on topological spaces
• Homological algebra

Ergun Yalcin is a Professor of Mathematics at Bilkent University, currently on sabbatical at the University of Waterloo, Canada. His research primarily focuses on algebraic topology and group theory, with specialized interests in group cohomology, group actions on topological spaces, and homological algebra. He has taught numerous undergraduate and graduate courses including Linear Algebra, Algebraic Topology, Group Representations, and Cohomology of Groups. His research explores structural properties of group actions, cohomological methods in algebra, and applications of category theory to topological problems. Recent publications emphasize fusion systems, equivariant topology, and dimension functions, reflecting a consistent focus on algebraic structures in geometric contexts. Collaborations frequently involve international researchers in group theory and topology. Yalcin organizes academic events such as the annual Antalya Algebra Days and Bilkent Algebra Days, fostering research collaboration in Turkey. He maintains an active presence in the mathematical community through lectures, preprint archives, and seminar coordination.

• Noncommutative Algebra
• Group Theory
• Ring Theory
• +3 more

Beeri Greenfeld is a Researcher at the Department of Mathematics, University of Washington, with a focus on algebraic structures, group theory, and noncommutative algebra. Previously, he held a Visiting Assistant Professor position at the University of California San Diego. He is an editor for the Rendiconti del Circolo Matematico di Palermo . Research Interests His work spans noncommutative algebra, Lie algebras, growth functions, and algebraic structures. Notable topics include the Kurosh problem, Zariski topology on groups, and the study of nilpotent groups and monomial algebras. His research bridges algebraic theory with combinatorial and probabilistic methods. Teaching At the University of Washington, he has taught advanced undergraduate and graduate courses such as Topics in the Burnside Problem, Topology, and Probability. At UC San Diego, he instructed courses on mathematical reasoning, calculus, and group theory. He also supervised undergraduate research projects. Preprints & Collaborations Current preprints explore topics like asymptotic Burnside laws, free subalgebras, and growth in modules. Collaborators include prominent mathematicians such as Efim Zelmanov, James Zhang, and J. P. Bell. His work often addresses foundational questions in noncommutative algebra and combinatorial group theory.

Gunnar TraustasonView profile

Professor

• Engel type conditions in groups
• Generalised nilpotent groups
• Burnside type problems
• +4 more

Gunnar Traustason is a Professor and Head of the Department of Mathematical Sciences at the University of Bath. His research focuses on group theory, particularly Engel conditions, nilpotent groups, Burnside-type problems, and Lie ring methods. He leads projects funded by Engineering and Physical Sciences Research Council (EPSRC), including studies on 3-Engel elements and green-grey infrastructure in urban rivers. Research Interests: Specializes in abstract algebra with emphasis on Engel-type conditions, symplectic alternating algebras, and structural properties of finite and infinite groups. Utilizes Lie ring techniques to explore group-theoretical problems. Recent work includes analysis of prime order elements in group central series, classification of 3-Engel elements, and homomorphism structures in Lie algebras. His projects (2017-2024) have explored both pure mathematical questions and interdisciplinary applications involving urban river management. No scientific awards explicitly mentioned. Supervised 7 research students documented in his profile. Active in collaborative research networks involving institutions globally.