جستجوی استاد راهنمای دانشگاهی

Oscar Randal-Williamsمشاهده پروفایل

استاد

• Algebraic Topology
• Geometric Topology
• Mapping Class Groups
• +۸ مورد دیگر

Oscar Randal-Williams is the Sadleirian Professor of Pure Mathematics at the University of Cambridge, where he is affiliated with the Faculty of Mathematics and the Department of Pure Mathematics and Mathematical Statistics (DPMMS). His work is centered in the Differential Geometry & Topology research group, where he contributes to advancing knowledge in geometric and algebraic topology. Professor Randal-Williams specializes in Algebraic and Geometric Topology, with particular expertise in mapping class groups, moduli spaces, cobordism categories, spaces of manifolds, surgery theory, configuration spaces, characteristic classes, and K-theory. His research explores the deep connections between homotopy theory and geometric structures, with applications across various mathematical domains. His work often bridges abstract algebraic structures with concrete geometric problems, creating new frameworks for understanding topological phenomena. An analysis of Professor Randal-Williams' recent publications reveals a strong focus on homological stability phenomena, mapping class groups of high-dimensional manifolds, and the interplay between algebraic structures and geometric topology. His work frequently involves E ∞ -algebras, general linear groups, and the topology of diffeomorphism groups. A significant portion of his research investigates the structure of moduli spaces of manifolds and their connections to algebraic K-theory, with recent work extending to applications in mathematical physics through studies of symmetries in quantum field theories. Professor Randal-Williams maintains active collaborations with leading mathematicians worldwide, including Søren Galatius, Alexander Kupers, and Jeremy Miller, among others. His research has been published in top-tier mathematical journals including the Annals of Mathematics, Inventiones Mathematicae, and the Journal of the American Mathematical Society.

Vesna Stojanoskaمشاهده پروفایل

دانشیار

• Stable Homotopy Theory
• Chromatic Phenomena
• Arithmetic
• +۳ مورد دیگر

Vesna Stojanoska is an Associate Professor in the Department of Mathematics at the University of Illinois, holding the Norman P. Jones Professorial Scholar title and serving as a Hamstrom Scholar. Her research focuses on stable homotopy theory, chromatic phenomena, and interactions with arithmetic. She earned her PhD in Mathematics from Northwestern University in 2011 and has been recognized with a Fellowship from the Center for Advanced Study (2018-2019). Key research areas include advanced topics in algebraic topology, such as Picard groups, Brauer groups, and topological modular forms. Her work frequently explores connections between homotopy theory and arithmetic structures. Recent contributions include studies on Morava stabilizer groups, determinant spheres, and collaborative efforts through initiatives like the Women in Topology IV workshop. Dr. Stojanoska has advised three graduate students, including Zachary Halladay (expected 2025), Venkata Sai Bavisetty (2024), and Elizabeth Tatum (2022). Her office is located at #307, 805 W Pennsylvania Ave, Urbana, Illinois.

Irina Bobkovaمشاهده پروفایل

دانشیار

• Algebraic Topology
• Equivariant Homotopy Theory
• Chromatic Homotopy Theory
• +۴ مورد دیگر

Irina Bobkova is an Associate Professor in the Department of Mathematics at Texas A&M University, affiliated with the College of Arts & Sciences. Her research focuses on algebraic topology, particularly computational aspects of equivariant and chromatic homotopy theory. She has received significant support from the National Science Foundation (NSF) via a CAREER Grant and an RTG Grant. Her research interests include equivariant homotopy theory, chromatic homotopy theory, and the study of stable homotopy groups of spheres. She explores computational methods involving Morava stabilizer groups, Picard groups, and topological modular forms. Her work often involves collaborations with leading mathematicians in the field, such as Agnès Beaudry and Vesna Stojanoska. Bobkova has published extensively in top journals like Mathematische Zeitschrift , Journal of Topology , and Algebraic & Geometric Topology . Her recent work includes groundbreaking contributions to K(2)-local homotopy theory, duality resolutions, and the cohomology of Morava stabilizer groups. She co-organizes the South Central Topology Conference, fostering regional collaboration in topology. Her grants and awards reflect her leadership in advancing algebraic topology. She actively engages in academic service, including organizing workshops and mentoring early-career researchers. Despite no listed formal advisees, her collaborative approach shapes the field’s future directions.

Elden Elmantoمشاهده پروفایل

استادیار

• Algebraic Geometry
• Homotopy Theory
• Algebraic K-theory
• +۳ مورد دیگر

Elden Elmanto is an Assistant Professor in the Department of Mathematics at the University of Toronto, affiliated with the Faculty of Arts and Science. His research focuses on advanced areas of algebraic geometry and homotopy theory, particularly through a motivic perspective. He investigates algebraic cycles, vector bundles, and motivic cohomology, often leveraging techniques from derived algebraic geometry and p-adic geometry. Recently, he co-developed a motivic cohomology theory for singular schemes with Matthew Morrow. His work spans topics like algebraic K-theory, motivic homotopy theory, and the interplay between topology and arithmetic geometry. He actively participates in seminars such as the Toronto Algebraic Geometry Seminar and has led research on topological cyclic homology, equivariant algebraic K-theory, and motivic infinite loop spaces. Elmanto collaborates widely, contributing to fields like étale motivic spectra, Voevodsky’s convergence conjecture, and the Quillen-Lichtenbaum dimension. His research emphasizes foundational questions in modern algebraic geometry, with applications to arithmetic and geometric contexts.

Jeremy Hahnمشاهده پروفایل

استادیار

• Algebraic Topology
• Structured Ring Spectra
• Chromatic Homotopy Theory
• +۴ مورد دیگر

Jeremy Hahn is an Assistant Professor at the Massachusetts Institute of Technology (MIT), affiliated with the Department of Mathematics within the School of Science. His research focuses on Algebraic Topology, particularly structured ring spectra, chromatic homotopy theory, and equivariant homotopy theory. Supported by grants from the Sloan Foundation and the National Science Foundation (DMS-1803273), his work has contributed to foundational advances in topological K-theory, algebraic K-theory, and manifold topology. Education details are not explicitly listed, though past teaching roles at Harvard University suggest prior academic training. His research interests span topics including: Structured ring spectra constructions (e.g., truncated Brown-Peterson spectra) Chromatic redshift phenomena and algebraic K-theory Equivariant orientations and C_p actions Applications of homotopy theory to manifold classification Notable recent work includes counterexamples to Ravenel's telescope conjecture, advancements in motivic filtrations of topological cyclic homology, and the construction of multiplicative structures on classical spectra. Collaborations with researchers such as Robert Burklund, Dylan Wilson, and Allen Yuan reflect his active engagement in the global topology research community. Teaching includes advanced courses like Algebraic Topology I (18.905) and past roles as a teaching assistant for Linear Algebra (18.06) and multivariable calculus at MIT. His research has been supported by multiple NSF grants and the Sloan Fellowship, indicating sustained academic excellence and leadership in the field.

Mona Merlingمشاهده پروفایل

دانشیار

• Algebraic K-Theory
• Equivariant Stable Homotopy Theory
• Manifold Theory
• +۳ مورد دیگر

Mona Merling is an Associate Professor in the Department of Mathematics at the University of Pennsylvania, affiliated with the School of Arts and Sciences. She holds a Ph.D. from the University of Chicago (2014) under Peter May. Prior to Penn, she was a J.J. Sylvester Assistant Professor at Johns Hopkins University. Her research focuses on algebraic K-theory, its applications to number theory and manifold theory, and equivariant stable homotopy theory. She has held research positions at institutions like the Mathematical Sciences Research Institute (MSRI) and the Max Planck Institute for Mathematics. Merling teaches advanced courses in algebraic topology, homotopy theory, and calculus, including innovative programs like the Penn Directed Reading Program and collaborations with the Prison Teaching Initiative to provide education in incarcerated settings. She organizes conferences and workshops, such as the Algebraic Topology Bridge Summer Workshop, fostering accessibility in topology education. Her research explores cutting-edge topics like scissors congruence K-theory, equivariant infinite loop space theory, and parametrized cobordism categories. Recent work includes collaborations on derived scissors congruence and multiplicative equivariant K-theory, with applications to geometric and algebraic structures. Her grants include funding for social justice initiatives in education.

• Arithmetic Algebraic Geometry
• Motivic Homotopy Theory

Prof. Dr. Niko Naumann is a faculty member at the University of Regensburg, affiliated with the Department of Mathematics (NWF I - Mathematics). His research focuses on the intersection of Arithmetic Algebraic Geometry and Motivic Homotopy Theory. His work explores stable homotopy theory, equivariant algebraic K-theory, and the application of topological modular forms to arithmetic problems. Notable collaborations include researchers such as Tobias Barthel, Akhil Mathew, and Justin Noel. The 15 most recent publications span topics in homotopy theory, algebraic geometry, and number theory, with a particular emphasis on nilpotence theorems, motivic spectra, and arithmetic invariants. Key journals include Inventiones Mathematicae, Advances in Mathematics, and Geom. Topol. Niko Naumann’s departmental role includes leadership in international academic exchange programs like ERASMUS. Current advisees or students are not explicitly listed in the provided text.

Igor Krizمشاهده پروفایل

استاد

• Algebraic Topology
• Stable Homotopy Theory
• Equivariant Topology
• +۵ مورد دیگر

Igor Kriz is a Professor of Mathematics at the University of Michigan, specializing in algebraic topology. He is affiliated with the Department of Mathematics within the College of Literature, Science, and the Arts (LSA). His research focuses on advanced topics in algebraic topology, particularly stable homotopy theory and related areas. Kriz received his Ph.D. from Charles University in 1988. His academic journey has led him to become a prominent researcher in algebraic topology, with significant contributions to the field over several decades. Professor Kriz's primary research interests lie in algebraic topology , which studies topological spaces through algebraic invariants. He specializes in equivariant stable homotopy theory, Mackey functors, cobordism, and motivic homotopy theory . His work involves calculations of stable homotopy groups and other generalized homology theories, including Morava K-theories of classifying spaces of finite groups. He has made significant contributions to the study of operads and structures up to homotopy, with applications extending to differential geometry and physics, particularly string theory. His research often bridges multiple mathematical disciplines, creating connections between topology, algebra, and geometry. His recent publications (2022-2025) demonstrate a strong focus on equivariant topology and its connections to algebraic structures. Kriz frequently collaborates with researchers like P. Hu, P. Somberg, and others, producing work that explores the intersection of homotopy theory with representation theory and algebraic geometry. His research program shows consistent evolution from foundational work in stable homotopy to more recent applications in motivic contexts and topological Hochschild homology. Professor Kriz teaches both undergraduate and graduate courses at the University of Michigan. His teaching portfolio includes Math 425 (Introduction to Probability), Math 592 (Introduction to Algebraic Topology), and advanced graduate courses Math 695 and Math 696 (Algebraic Topology I and II). His course materials are regularly updated, reflecting his commitment to education in mathematical topology. Based in East Hall (room 3846) at the University of Michigan, Professor Kriz maintains an active research program while contributing to the academic community through teaching and mentorship. His work continues to advance our understanding of complex topological structures and their algebraic representations.

Tobias Dyckerhoffمشاهده پروفایل

استاد

• Higher Structures in Algebra and Geometry
• Algebraic Topology
• Homological Algebra
• +۳ مورد دیگر

Prof. Dr. Tobias Dyckerhoff is a Professor of Mathematics at the University of Hamburg , specializing in Higher Structures in Algebra and Geometry . He is affiliated with the Cluster of Excellence "Quantum Universe" and the Center for Mathematical Physics . His academic career includes positions at the University of Bonn, University of Oxford, Yale University, and the University of Pennsylvania. Research Interests : Higher category theory, homological algebra, perverse sheaves, Fukaya categories, and applications to symplectic geometry and quantum topology. Editorial Roles : Managing Editor of Abhandlungen aus dem mathematischen Seminar der Universität Hamburg (since 2023) and Editor of Applied Categorical Structures (since 2023). Publications & Articles focus on advanced topics like stable ∞-categories, spherical functors, and Calabi-Yau structures. Notable trends include interconnections between algebraic topology, category theory, and symplectic geometry. Scientific Awards : Bonn Junior Fellow (2014–2018) Titchmarsh Postdoctoral Fellow (2013–2014) Simons Postdoctoral Fellow (2010–2013) Students & Collaborations : Mentors active researchers like Angus Rush, Till Heine, and Jonte Gödicke. Collaborates with institutions such as MPI Bonn and international experts in higher structures.

Markus Landمشاهده پروفایل

دانشگاهی

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

Markus Land is a Tenure Track Professor at the Department for Mathematics, Ludwig Maximilian University of Munich, affiliated with the Algebraic Geometry Working Group. His research bridges algebraic topology, homotopy theory, and K-theory, focusing on their interplay with L-theory and manifold topology. He has held postdoctoral positions at the University of Copenhagen (supported by an EU Marie Curie Fellowship and DFG Grant) and the University of Regensburg, and earned his PhD at the University of Bonn under Wolfgang Lück. Education : PhD in Mathematics (University of Bonn, 2016) Positions : Postdoctoral (University of Copenhagen, 2019–2022; University of Regensburg, 2016–2019) Research Interests : Markus Land explores algebraic topology and homotopy theory , particularly algebraic K-theory , hermitian K-theory , and their connections to L-theory and manifold topology . His work often applies infinity-categories to foundational problems in operator K-theory and geometric topology. Recent Publications : His research includes groundbreaking studies on chromatic localization in K-theory, Grothendieck-Witt groups in ring theory, and additivity in cobordism categories . Collaborations with leading mathematicians like Georg Tamme and Ulrich Bunke highlight interdisciplinary approaches to algebraic and geometric problems. Awards & Grants : EU Marie Curie Individual Fellowship (2020–2022) DFG Individual Research Grant (2019–2020) Teaching & Academic Leadership : He has designed advanced courses including Topology I–V , Algebraic K-Theory , and Condensed Mathematics , emphasizing homotopy theory and infinity-categories . Future initiatives include student seminars on arithmetic and algebraic geometry to foster academic collaboration. Working Group : As part of the Algebraic Geometry Working Group at LMU Munich, he contributes to seminars and research projects on arithmetic geometry , manifold classification , and spectral algebra .

• Algebra
• Geometry
• Topology
• +۵ مورد دیگر

Jonas Bergström is a Professor in the Department of Mathematics at Stockholm University specializing in Algebra, Geometry, Topology, and Combinatorics. His research focuses on arithmetic geometry, moduli spaces, Siegel modular forms, and number theory, with extensive collaborations across international institutions including KTH Royal Institute of Technology. His research interests span algebraic geometry, topology, combinatorics, and number theory, with particular emphasis on moduli spaces of curves, abelian varieties, Siegel modular forms, and arithmetic geometry. Bergström's work bridges theoretical mathematics with computational approaches, often developing algorithms for complex mathematical structures. His research group actively explores commutative and homological algebra, complex and real algebraic geometry, arithmetic geometry, homotopy theory, and Ramsey theory. The most recent publications reveal a strong focus on cohomology of moduli spaces, Siegel modular forms, abelian varieties over finite fields, and L-functions. His work demonstrates a consistent pattern of combining algebraic geometry with number theory, particularly investigating arithmetic properties of algebraic varieties and developing computational methods for modular forms. The research shows increasing emphasis on algorithmic approaches and connections to theoretical physics through moduli space cohomology. Bergström has supervised several PhD students including Sjoerd de Vries (current), Stefano Marseglia, and Olof Bergvall (with Prof. Carel Faber). He currently mentors postdoctoral researchers Séverin Philip and Thomas Wennink, while former postdocs include Angelina Zheng, Valentijn Karemaker, Oliver Leigh, and Alex Samuel Bamunoba. His research is supported through collaborations with major mathematical networks including the Nordic number theory network and joint seminars with KTH. He is affiliated with the Algebra and Geometry Seminar (KTH and SU) and maintains active research connections through multiple collaborative projects, including joint work with Gerard van der Geer and Carel Faber on Hecke operators and Siegel modular forms. Bergström also contributes to open mathematical research through GitHub repositories containing computational results on cohomology of moduli spaces.

Jared Weinsteinمشاهده پروفایل

استاد

• Number Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۳ مورد دیگر

Jared Weinstein is a Professor in the Department of Mathematics and Statistics at Boston University, serving as the Departmental Ombud. He specializes in Number Theory and Algebraic Geometry, with a focus on p-adic geometry, shtukas, and moduli spaces. His research explores connections between arithmetic geometry and homotopy theory, including contributions to the Langlands program and local Shimura varieties. Education: AB from Harvard University (undergraduate), PhD from University of California, Berkeley. Postdoctoral work at UCLA and the Institute for Advanced Study before joining BU in 2011. Research interests include arithmetic geometry, p-adic Hodge theory, and the geometry of moduli spaces. His work often intersects with topics like perfectoid spaces, diamonds, and chromatic homotopy theory. Recent articles highlight advancements in modularity of elliptic curves over function fields and the Kottwitz conjecture for local shtuka spaces. No scientific awards are explicitly listed, but his extensive publications reflect significant contributions to his field. Advising and grants details are not provided here. His work is closely tied to the v-topology and related geometric frameworks in algebraic geometry.

Markus Hausmannمشاهده پروفایل

استاد

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

Markus Hausmann is a Professor of Topology at the University of Bonn since 2023. His research focuses on equivariant homotopy theory , with groundbreaking work on bordism theory and symmetry of spaces, including a 2022 publication in the Annals of Mathematics . He received the prestigious Minkowski Medal 2025 from the German Mathematical Society (DMV) for his outstanding contributions to mathematics. Current affiliation: University of Bonn (2023–present) Former roles: University Lecturer at Stockholm University (2021–2023), Postdoc at University of Copenhagen and Bonn Education: Mathematics studies at University of Bonn with a semester abroad at MIT His ERC Starting Grant 'BorSym' explores bordism of symmetries using algebraic methods, funded for five years. His work intersects topology , algebraic structures , and equivariant cohomology , with recent publications addressing symmetric spectra, global group laws, and subgroup lattices. The Minkowski Medal recognizes his international acclaim as a young mathematician. Scientific Awards : Minkowski Medal 2025 (DMV) Markus Hausmann's research bridges equivariant homotopy theory with applications to derived orbifolds and global symmetries , advancing foundational understanding in these areas.

Christine Vespaمشاهده پروفایل

استاد

• Algebra
• Algebraic Topology
• Category Theory
• +۳ مورد دیگر

Christine Vespa is a Professor at Aix-Marseille Université affiliated with the Institute of Mathematics (I2M) in Marseille. Her research lies at the intersection of Algebra , Algebraic Topology , and Category Theory , focusing on polynomial functors , functor homology , and stable homology of group families. Education Habilitation à diriger des recherches (HDR), Université de Strasbourg, 2013. Thesis: Foncteurs polynomiaux et homologie stable à coefficients polynomiaux . Jury: William Dwyer, Vincent Franjou, Hans-Werner Henn, Nick Kuhn, Birgit Richter, Lionel Schwartz. Doctorat en Mathématiques, Université Paris 13, 2005. Thesis: La catégorie F_quad des foncteurs de Mackey généralisés pour les formes quadratiques sur F2 . Director: Lionel Schwartz. Research Interests Her work explores structural properties of polynomial functors and their applications in homology stability. She connects abstract category-theoretic frameworks with concrete algebraic and topological problems, such as stable homology for automorphism groups of free groups and orthogonal groups. Recent preprints address PROP structures , analytic exponential functors , and Jacobi diagrams , highlighting her engagement with algebraic topology and category theory. Article Trends Christine Vespa's publications and preprints emphasize algebraic topology and category theory . Recent trends include analyzing partition PROPs , exponential functors , and Jacobi diagrams in the context of stable homology. Earlier works delve into Hochschild homology , automorphism groups , and generalized Mackey functors , showcasing her contributions to homological algebra and representation theory. Advising Antoine Feltz (2020–2024): Foncteurs polynomiaux sur les catégories FI_d . Arthur Soulié (2015–2018): Foncteurs de Long-Moody et homologie stable des groupes de difféotopie . Andrea Cesaro (2012–2016): Pre-Lie algebras and operads in positive characteristic , co-supervised with Benoit Fresse. Labs & Teams She is a member of the Analyse, Géométrie, Topologie research group at I2M. She has organized academic events, including the 2014 Strasbourg workshop on Mac Lane's cubic construction and the 2015 Strasbourg Masterclass on Topological K-theory.

• algebraic topology
• Goodwillie calculus
• chromatic homotopy theory
• +۴ مورد دیگر

Gijs Heuts is an Associate Professor in the Fundamental Mathematics group at the Mathematical Institute of Utrecht University, part of the Faculty of Science. His research focuses on advanced topics in algebraic topology and higher category theory, with particular expertise in Goodwillie calculus, chromatic homotopy theory, and operads. He is affiliated with the Utrecht Geometry Center, which includes prominent mathematicians Ieke Moerdijk and Lennart Meier. His work is currently funded by prestigious grants including an ERC Starting Grant titled "Chromatic homotopy theory of spaces" and an NWO Vidi grant "Hopf algebras and periodic homotopy theory". Starting September 2025, he will also serve as one of the Principal Investigators on the NWO XL consortium "Symmetry on the interface of topology and higher algebra". Dr. Heuts' research centers around homotopy theory and derived algebraic geometry, with a focus on generalizations of classical algebraic concepts (such as Lie algebras, commutative rings, and Hopf algebras) to homotopy theory. His work has significant applications to chromatic homotopy theory, with Goodwillie calculus and operads serving as central methodological tools. His publication record demonstrates consistent high-impact contributions to the field, with papers appearing in top journals such as Annals of Mathematics and Proceedings of the American Mathematical Society. His research spans theoretical foundations of higher category theory to specific applications in unstable homotopy theory, particularly focusing on connections between spectral Lie algebras and vn-periodic phenomena. ERC Starting Grant "Chromatic homotopy theory of spaces" NWO Vidi grant "Hopf algebras and periodic homotopy theory" PI on NWO XL consortium "Symmetry on the interface of topology and higher algebra" (starting Sept 2025) Dr. Heuts completed his PhD under Jacob Lurie at Harvard University and was previously a postdoc at the University of Copenhagen. He has held research positions at the Isaac Newton Institute and Hausdorff Research Institute. He was an organizer of the MIT Talbot Workshop (2012-2015) and currently organizes the European Autumn School in Topology (EAST).