جستجوی استاد راهنمای دانشگاهی

Sergey Arkhipovمشاهده پروفایل

دانشیار

• Geometric representation theory
• DG categories
• Homological algebra
• +۸ مورد دیگر

Sergey Arkhipov is an Associate Professor in the Department of Mathematics at Aarhus University. His primary research focuses on homotopy theory of DG-categories, homotopy descent, categorical braid group actions, matrix factorizations, derived algebraic geometry, chiral algebras, and semiinfinite cohomology. He has taught undergraduate and Master's courses such as Complex Analysis and Advanced Algebra, organized graduate seminars on DG Categories and Homotopical Algebra, and supervised PhD students. Research Interests Geometric representation theory DG categories Homological algebra Algebraic homotopy theory Algebraic operads Homotopy descent Categorical braid group actions Matrix factorizations Derived algebraic geometry Chiral algebras Semiinfinite cohomology Publications Trends Arkhipov's publications center on advanced topics in category theory, homotopy theory, and geometric representation theory, with a strong emphasis on DG-categories, matrix factorizations, and categorical structures in algebraic geometry. His work often bridges abstract categorical frameworks with concrete applications in algebra and topology.

Nathaniel Stapletonمشاهده پروفایل

دانشیار

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

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.

Joseph Chuangمشاهده پروفایل

استاد

• Representation Theory
• Homological Algebra
• Triangulated Categories
• +۵ مورد دیگر

Professor Joseph Chuang is a faculty member in the Department of Mathematics at City St George's, University of London. He holds the academic rank of Professor in Pure Mathematics. He is based in the Tait Building, Northampton Square, London. BA in Mathematics, Harvard University, 1994 Master of Advanced Study in Mathematics, University of Cambridge, 1995 PhD in Mathematics, University of Chicago, 1998 Professor Chuang's research is centered in pure mathematics, particularly in representation theory and homological algebra. His primary interests include the representations of finite and symmetric groups, the structure of triangulated categories, and the theory of homotopy algebras and operads. His work often bridges algebra and topology, exploring the homological properties of algebraic structures and their categorifications. He has made significant contributions to the understanding of derived equivalences, localization in derived categories, and the algebraic models of topological phenomena. His recent publications demonstrate a consistent focus on the interplay between algebra and topology. His work on homotopy epimorphisms, derived localization, and the structure of Maurer-Cartan algebras reveals a deep engagement with modern homotopical algebra. The recurring keywords in his publications, such as 'derived categories,' 'homological algebra,' 'symmetric groups,' and 'operads,' indicate a research program that is both cohesive and at the forefront of contemporary algebra. Advanced Research Fellow, EPSRC Professor Chuang has supervised research students, including Alfred Dabson. His research has been supported by EPSRC grants (EP/N015452/1 and EP/N016505/1). He is a member of the London Mathematical Society. His work is primarily theoretical, and there is no mention of specific research labs or large collaborative teams in the provided text.

• Homotopy Theory
• Operads
• Tensor-triangular Geometry
• +۳ مورد دیگر

Scott Balchin is a Lecturer at the School of Mathematics and Physics at Queen's University Belfast. His research sits at the intersection of homotopy theory, combinatorics, and category theory, with a focus on structures like N∞ operads, tensor-triangular geometry, and lattice theory in algebraic contexts. Research Interests Homotopy Theory Operads and Higher Structures Combinatorics in Algebraic Topology Tensor-triangular Geometry Model Categories and Lattice Theory Research Activity Recent work explores the combinatorial foundations of N∞ operads for finite groups, conjugacy-class-based bijections in homotopy theory, and rigidity phenomena in chromatic homotopy categories. His publications span journals like the Journal of Pure and Applied Algebra and European Journal of Combinatorics , often involving collaborations with researchers such as Emily MacBrough and Kyle Ormsby. Contact Email: s.balchin@qub.ac.uk

• Configuration Spaces
• Diffeomorphism Groups
• Homological Stability
• +۳ مورد دیگر

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.

Owen Gwilliamمشاهده پروفایل

استادیار

• quantum field theory
• derived geometry
• higher categories

Owen Gwilliam is an Assistant Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. His research focuses on the intersection of quantum field theory, derived geometry, and higher categories, with a particular emphasis on algebraic and topological structures in mathematical physics. Research Interests His work explores advanced topics in theoretical physics and mathematics, including: Quantum field theory Derived geometry Higher categories Factorization algebras Topological defects and symmetries Deformation quantization Recent publications (2020–2025) highlight his contributions to framing novel algebraic frameworks for quantum field theories, with a focus on holomorphic and topological models, factorization structures, and their applications to supersymmetry and gauge theory.

• Algebraic Topology
• Operad Theory
• Configuration Spaces
• +۳ مورد دیگر

Paolo Salvatore is a Full Professor of Geometry at the Department of Mathematics, University of Rome Tor Vergata. His research focuses on algebraic topology, particularly operad theory, configuration spaces, and homotopy theory. He has contributed to foundational work on operadic structures, including studies on the Gravity and Hypercommutative operads, En-algebras, and the Fulton-MacPherson operad. Salvatore has also explored non-formality in characteristic two and geometric realizations of topological spaces. His teaching responsibilities include courses in linear algebra, geometry, and topology for engineering and mathematics students. He has developed extensive lecture materials and online resources for courses such as Linear Algebra and Geometry (Engineering Sciences) and Complementi di Topologia Algebrica . Examinations are conducted via written and oral evaluations with digital platforms. Salvatore has collaborated extensively with researchers like T. Rossi, M. Ching, and J. Giansiracusa on topics ranging from Koszul duality to moduli spaces. His work bridges algebraic topology with geometric and categorical methods, influencing both theoretical and applied mathematical domains.

Maria Basterraمشاهده پروفایل

استاد

• Algebraic Topology
• Category Theory
• Homological Algebra
• +۶ مورد دیگر

Maria Basterra is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire (UNH), where she is a core faculty member in Women's Studies. She is actively contributing to both research and teaching in advanced mathematics. Education: Ph.D. in Mathematics, University of Chicago M.S. in Mathematics, University of Chicago B.S. in Mathematics, University of Texas at Austin Her research centers on Algebraic Topology, Category Theory, and Homological Algebra , with deep investigations into E-infinity ring spectra, operads, and topological Hochschild homology. She has made foundational contributions to the homology and cohomology of structured ring spectra and the calculus of functors. A strong advocate for diversity in mathematics, she actively supports the retention and advancement of women in the field, notably through leadership in the Women in Topology (WIT) collaborations. Her recent publications (2015–2018) reflect a sustained focus on homotopy theory, particularly through collaborative projects that explore operads, infinite loop spaces, and stabilization. These works often emerge from interdisciplinary workshops, highlighting her role in fostering research communities. She has been a co-principal investigator on research projects including the MSRI WIT Open Problems Workshop (awarded by the Clay Institute, 2017) and Women in Topology (awarded by BIRS, 2013), and has participated in the Homotopy Harnessing Higher Structures program. Maria Basterra teaches a wide range of courses, including Calculus II, Mathematical Proof, Abstract Algebra, and multiple advanced topics in Topology (MATH 784, 884, 955, 966). Her teaching record extends through 2025, confirming her active status. She advises and mentors students and early-career researchers, particularly through collaborative research initiatives.

Florian Kranholdمشاهده پروفایل

پژوهشگر

• Algebraic Topology
• Geometric Topology
• Topological Operads
• +۲ مورد دیگر

Florian Kranhold is a postdoctoral researcher at the Karlsruhe Institute of Technology (KIT) , affiliated with the Institute of Algebra and Geometry within the Faculty of Mathematics. Previously, he pursued his doctoral and postdoctoral work at the University of Bonn under the guidance of Carl-Friedrich Bödigheimer, with support from the Max Planck Institute for Mathematics. His research focuses on algebraic and geometric topology , particularly configuration spaces, topological moduli spaces, and their connections to operads, factorisation homology, and cobordism categories. Education : PhD in Mathematics (2022, University of Bonn); MSc (2018, University of Bonn); BSc (2015, University of Tübingen). Research Trends : His publications demonstrate expertise in stable/unstable homology of moduli spaces, Ed-algebras, infinite loop space structures, and geometric interpretations of cobordism. Recent works (2022–2024) explore Segal K-theory, factorisation homology splittings, and parametrised moduli spaces. Teaching : He teaches advanced courses in algebraic topology, including topics like fundamental groups, cohomology, and manifold topology seminars at KIT since 2022. Collaborators : Co-authors include Andrea Bianchi, Jens Reinhold, and Felix Boes. His thesis work extends to graduate programs at the Max Planck Institute for Mathematics.

Martin Franklandمشاهده پروفایل

دانشیار

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

Martin Frankland is an Associate Professor in the Department of Mathematics and Statistics at the University of Regina, affiliated with the Topology and Geometry research group. His work focuses on algebraic topology and homotopy theory, particularly cohomology operations and their applications to operads and motivic homotopy theory. He holds a Ph.D. in algebraic topology from MIT (2010), advised by Haynes Miller. Prior to his current position, he held postdoctoral roles at institutions including the University of Western Ontario and the University of Illinois at Urbana-Champaign. Research Interests: Algebraic Topology Homotopy Theory Cohomology Operations Motivic Homotopy Theory Higher Category Theory Publications Trends: His recent work explores advanced structures in homotopy theory such as secondary cohomology operations, n-angulated categories, and multiparameter persistence modules. He frequently addresses foundational questions in algebraic topology, including realization problems for Π-algebras and the dual motivic Steenrod algebra. Grants & Advising: While specific grants are not listed, his research supervision spans undergraduate and graduate projects, including directed reading initiatives and thesis guidance in algebraic topology. He maintains active collaborations with international researchers like Markus Spitzweck and Oliver Röndigs. Labs/Teams: Active member of the Topology and Geometry group at the University of Regina, contributing to seminars and collaborative research in pure mathematics.

Lukas Woikeمشاهده پروفایل

استاد

• Algebraic Topology
• Mathematical Physics
• Quantum Topology
• +۷ مورد دیگر

Lukas Woike is a Junior Professor at the Institute of Mathematics of Burgundy (Université Bourgogne Europe), affiliated with the research groups "Geometry, Algebra, Dynamics and Topology" and "Mathematical Physics". His work intersects algebra, topology, and mathematical physics, focusing on topological field theories and higher algebraic structures. Education: PhD from the University of Hamburg under Christoph Schweigert Past Positions: Postdoc at the University of Copenhagen (2020-2022), supported by a Marie Skłodowska-Curie Fellowship His research explores non-semisimple modular functors, topological field theories, factorization homology, and higher algebraic structures in homological algebra. He has contributed to understanding the Deligne conjecture for finite tensor categories and developed differential graded generalizations of modular functors. Notable scientific awards include the Horizon 2020 Marie Skłodowska-Curie Fellowship . With Adrien Brochier, Renaud Detcherry, and Emmanuel Wagner, he organizes the Quantum Topology Days seminar. He is also co-authoring a textbook titled "A first course in topological field theory" for the American Mathematical Society.

• Homotopy Theory
• Algebraic Topology
• Algebraic K-Theory
• +۶ مورد دیگر

John E. Harper is an Associate Professor in the Department of Mathematics at The Ohio State University, with appointments on both the Columbus and Newark campuses. He holds a Ph.D. in Mathematics from the University of Notre Dame (2008) and has held postdoctoral positions at EPFL, University of Western Ontario, and Purdue University. Education : Ph.D. in Mathematics, University of Notre Dame (2008); Graduate studies in Aeronautics and Astronautics, MIT (1996–2002). His research focuses on homotopy theory and algebraic topology , particularly interactions with structured ring spectra, Goodwillie's homotopy functor calculus, and derived Koszul duality. His work includes foundational contributions to TQ-completion and convergence theorems in homotopy theory. Recent publications highlight advancements in Bousfield-Kan completions, retractive operadic algebras, and fracture squares for TQ-homology. These works span Structured Ring Spectra , Functor Calculus , and Homotopy Limits . Scientific Awards : Newark Service Award (2019) Newark Teaching Excellence Awards (2024, 2018) He has mentored numerous PhD and Master’s students, including Oleksii Nikitchenko, Matthew Carr, Duncan Clark, Nikolas Schonsheck, Yu Zhang, and Jacobson Blomquist. His grants include a 2019–2024 Simons Foundation Collaboration Grant for Mathematicians.

• Geometric Group Theory
• Algebraic Topology
• Cohomology Theory
• +۳ مورد دیگر

Dr. Benjamin Brück is an Investigator in Mathematics at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science and the Institute for Mathematical Logic and Foundational Research. He is a member of the Collaborative Research Center (CRC) 1442: Geometry: Deformations and Rigidity. His research focuses on geometric group theory, algebraic topology, and model theory, with emphasis on cohomology of arithmetic groups, symplectic groups, and topological data analysis. Brück holds a PhD and has contributed to projects such as T1 (K-Groups and Cohomology) and T3 (Models and Universes) within the Mathematics Münster framework. His work bridges geometric and combinatorial structures, including studies on Coxeter complexes, handlebody groups, and persistent homology applications in cosmology. Recent publications include breakthroughs in the cohomology of SLn(Z), symplectic groups, and the interplay between graph complexes and cyclic operads. His research often intersects with algebraic geometry and geometric topology, addressing questions in arithmetic groups and topological invariants. No formal academic awards are listed, though his active participation in collaborative projects highlights his role in advancing interdisciplinary mathematical research. He is involved with the CRC Geometry initiative and contributes to the Graduate School’s academic programs.

Manuel Krannichمشاهده پروفایل

استادیار

• Algebraic Topology
• Geometric Topology
• Manifold Bundles
• +۷ مورد دیگر

Manuel Krannich is an Assistant Professor at the Karlsruhe Institute of Technology , affiliated with the Institute of Algebra and Geometry in the Faculty of Mathematics . He previously held postdoctoral positions at Mathematics Münster and the University of Cambridge , and earned his PhD from the University of Copenhagen in 2018. His research spans algebraic and geometric topology , focusing on moduli spaces, diffeomorphism groups, mapping class groups, and applications to manifold bundles. Education : PhD (University of Copenhagen, 2018), MSc, BSc His work bridges homotopy theory with manifold topology , exploring connections to K-theory and surgery theory . He actively collaborates with researchers like Alexander Kupers and Oscar Randal-Williams , and has organized seminars on manifolds and homotopy theory. He teaches courses in algebraic topology and geometric topology , including seminars on exotic spheres and vector bundles. Contact: Email krannich@kit.edu , office at Kollegiengebäude Mathematik (20.30), 1.013, Karlsruhe.

Christian Schlichtkrullمشاهده پروفایل

استاد

• Algebraic Topology
• Homotopy Theory
• Topological Hochschild Homology
• +۳ مورد دیگر

Christian Schlichtkrull is a Professor at the Department of Mathematics, University of Bergen, Norway. His contact information includes email (christian.schlichtkrull@uib.no), phone (+47 55582828), and addresses: Visitor address at Allégaten 41, 5007 Bergen, and Postal address at P.O. Box 7803, NO-5020 Bergen. His primary research focuses on advanced topics in algebraic topology, with emphasis on: Homotopy theory including stable homotopy and parametrized homotopy Topological Hochschild homology (THH) and its logarithmic variants Symmetric spectra and diagram spaces Algebraic K-theory connections via cyclotomic trace Generalized Thom spectra and virtual vector bundles Schlichtkrull's publications (2005-2020) demonstrate sustained exploration of spectra, homology theories, and K-theory connections. Recent work emphasizes multiplicative structures in parametrized homotopy and logarithmic THH, frequently collaborating with researchers from institutions like Radboud University and University of Bonn. His research has been supported by the Research Council of Norway (Grant 213458). No advising relationships, laboratory affiliations, or scientific awards are documented in the provided materials.