جستجوی استاد راهنمای دانشگاهی

Prof. Peter Scholze is a leading mathematician at the University of Bonn and the Max Planck Institute for Mathematics (MPIM). He holds a professorship in the Mathematical Institute at the University of Bonn and is affiliated with MPIM as a principal investigator. His research focuses on arithmetic geometry, representation theory, and p-adic geometry, with notable contributions to perfectoid spaces, prismatic cohomology, and the geometrization of the local Langlands correspondence. Scholze has organized several advanced seminars (ARGOS) and taught courses on topics like condensed mathematics, p-adic geometry, and algebraic geometry. He collaborates widely with researchers such as Laurent Fargues and Bhargav Bhatt. His recent work includes groundbreaking papers on wild Betti sheaves, motivic geometrization of the local Langlands correspondence, and the Habiro ring of number fields. Scholze has pioneered the use of prismatic cohomology to unify p-adic Hodge theories and has developed foundational frameworks in derived algebraic geometry. His research also intersects with representation theory and topological cyclic homology. Affiliations: University of Bonn (Mathematical Institute), Max Planck Institute for Mathematics (MPIM) Research Groups: Arbeitsgruppe Arithmetische Geometrie und Darstellungstheorie Teaching: Recent courses include 'Selected Topics in Algebraic Geometry' and 'Six-Functor Formalisms'. His work frequently explores connections between algebraic geometry and number theory, with a focus on geometric approaches to arithmetic problems. Scholze is a key figure in modern arithmetic geometry, influencing both foundational theory and applied areas like the Langlands program.

• Arithmetic Geometry
• Algebraic Geometry
• Representation Theory
• +۴ مورد دیگر

Jinhyung Park is an Associate Professor in the Department of Mathematical Sciences at KAIST, Daejeon, Korea. He obtained his Ph.D. from KAIST in 2014 under Prof. Sijong Kwak and was mentored as a CMC Fellow at KIAS (2014–2019). His research focuses on Algebraic Geometry , particularly syzygies of algebraic varieties , secant varieties , and positivity of line bundles . Education: Ph.D., KAIST (2014); MS/BS, KAIST and University of Chicago (2002/2001). Research Interests: His work explores geometric properties of projective manifolds, singularities in algebraic geometry, and applications of Okounkov bodies to divisors and syzygies. Recent trends include Castelnuovo-Mumford regularity bounds (e.g., for threefolds with rational singularities) and subadditivity of Okounkov bodies in fiber spaces. Teaching: Courses include Matrix Groups, Algebraic Geometry, and Calculus. He previously taught at Sogang University and Purdue University. Professional Affiliations: Member of the Korean Mathematical Society, American Mathematical Society, and other international societies. Organized the 8th East Asia Number Theory Conference at KAIST (2019).

• Algebraic Geometry
• Syzygies of Algebraic Varieties
• Secant Varieties
• +۶ 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.

• Higher Structures in Algebra and Geometry
• Algebraic Topology
• Homological Algebra
• +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 .

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

Prof. Dr. Wolfgang Steimle is a Professor at the Institute of Mathematics within the Faculty of Mathematics, Natural Sciences and Technology at the University of Augsburg, Germany. He serves as the Erasmus representative for the Institute and is a core member of the Differential Geometry research team, collaborating with Professors Bernhard Hanke and Peter Quast. His office is located in space 3020 (L1) with contact email wolfgang.steimle@math.uni-augsburg.de. Steimle completed his academic training at the University of Münster, earning a diploma (Master's equivalent) in 2007 with thesis "Whitehead-Torsion und Faserungen" and a PhD in 2010 under Tom Farrell and Wolfgang Lück with dissertation "Obstructions to Stably Fibering Manifolds". His research centers on Differential Geometry and Algebraic Topology , with primary focus on manifold classification , automorphisms of manifolds , Algebraic K- and L-theory , and positive scalar curvature . He bridges abstract homotopy theory with geometric applications, particularly through cobordism categories, Waldhausen K-theory, and the assembly map. His work connects higher category theory with classical manifold problems, yielding insights into metric spaces and curvature constraints. Analysis of his recent publications reveals a dominant trend in applying stable infinity-categories to geometric topology, with significant contributions to Hermitian K-theory and the topology of positive scalar curvature metrics. His research consistently integrates algebraic techniques with differential geometric structures, advancing understanding of manifold automorphisms and classification. As an educator, Steimle has taught extensively across all levels, including Bachelor courses in Linear Algebra and Topology, Master lectures in Algebraic Topology and K-Theory, and specialized seminars on Lie Groups, Reflection Groups, and Cobordism Categories. He has supervised doctoral researchers including Georg Frenck, Helge Frerichs, Andreas Huber, and Lukas Schönlinner within the Differential Geometry group.

• Differential Geometry
• Algebraic Topology
• Algebraic K-theory
• +۵ مورد دیگر

Prof. Johannes Ebert is a Professor in the Department of Mathematics at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science. He is an investigator in Mathematics Münster and a member of CRC 1442 Geometry: Deformations and Rigidity. His research focuses on topology, differential geometry, and algebraic topology, with particular emphasis on positive scalar curvature, index theory, cobordism categories, and moduli spaces. Ebert teaches courses such as Geometrische Lineare Algebra and Ergänzungen zur Analysis und Linearen Algebra. His current research projects include Topics in Mathematics Münster T1, T2, and T5, as well as CRC 1442 Project B03 on moduli spaces of metrics with positive curvature. He has held a research semester from April to September 2025, during which he is represented by Steffen Dereich. His work bridges geometric and algebraic aspects of topology, contributing to foundational questions in manifold theory and metric geometry. Research Interests: Positive scalar curvature, index theory including secondary invariants, cobordism categories, spaces of diffeomorphisms, characteristic classes of manifold bundles, and applications in geometric analysis. His projects explore the interplay between topology, geometry, and algebraic structures, particularly in high-dimensional manifolds and their moduli spaces. Teaching: Winter Semester 2024/25 courses include Geometrische Lineare Algebra and Ergänzungen zur Analysis und Linearen Algebra. Access course materials via LearnWeb with provided keys. Past teaching records are documented online. Affiliations: Member of the Topology Group at Münster, contributor to the Collaborative Research Centre 1442, and active in the university's mathematics community. His research outputs include over 15 peer-reviewed articles since 2019, with a focus on geometric topology and metric geometry topics.

• Topology
• Differential Geometry
• Algebraic Topology
• +۵ مورد دیگر

Prof. Jürg Kramer is a Professor of Mathematics at Humboldt University of Berlin, affiliated with the Faculty of Mathematics and Natural Sciences and the Institute of Mathematics. His research focuses on Arakelov geometry, automorphic forms (particularly modular forms), and their intersections. Notable contributions include advancements in arithmetic intersection theory with logarithmic singularities and sup-norm bounds for modular forms. He is also deeply engaged in mathematics education, leading initiatives for teacher training and promoting mathematical talent through networks like the Berlin School Mathematics Network. Active in academic service, he served as EMS Education Committee Chair (2017–2022) and President of the German Mathematical Society (2013/14). His work bridges pure mathematics with pedagogical innovation, emphasizing public understanding through popular science publications. Research: Arakelov geometry, modular forms, L-functions, hyperbolic geometry methods Education: Teacher training programs, math talent promotion, textbook authorship Affiliations: Leibniz Institute for Science and Mathematics Education (IPN), EMS, Deutsche Akademie der Technikwissenschaften Key educational contributions include Felix-Klein teacher training programs and co-authoring standards for mathematics teacher education. His publications span advanced mathematical research and accessible expositions on topics like Fermat’s Last Theorem and Riemann Hypothesis.

• Arakelov Geometry
• Automorphic Forms
• Modular Forms
• +۵ مورد دیگر

Professor Catharina Stroppel is a distinguished researcher and educator in the Department of Mathematics at the University of Bonn, Germany. She maintains an active research program in representation theory and related fields, with significant contributions to categorification, knot theory, and higher category theory. Her office is located at Endenicher Allee 60, Room 4.007, Bonn, and she is supported by secretary Alev Erisöz-Reinke. Stroppel's research primarily focuses on representation theory of Lie algebras, connections to topology (particularly knot and manifold invariants), categorification, and diagram algebras. Her work bridges abstract algebra with topological applications, exploring combinatorial aspects of representation theory including Schubert calculus, Kazhdan-Lusztig theory, and canonical bases. She has made substantial contributions to understanding Hecke algebras and their representation theory, as well as developing connections between categorification and topological quantum field theories. Her recent publications demonstrate a consistent research trajectory advancing semi-infinite highest weight categories, geometric categorifications, and the interplay between quantum algebra and topology. The work shows increasing sophistication in handling higher categorical structures while maintaining concrete connections to classical representation theory problems. Her research has evolved from foundational work in categorification to more complex structures involving higher categories, quantum groups, and geometric interpretations. Indagationes Mathematicae Best Paper Prize (2022) Honorary Doctorate from Uppsala University Invited Plenary Speaker at the International Congress of Mathematicians (2022) Professor Stroppel has supervised numerous doctoral students, including current PhD candidates Jonas Nehme, Liao Wang, Lukas Bonfert, and Daniel Bermudez Montana. Her former PhD students include Till Wehrhan, Anna Mkrtchyan, Tashi Walde, Tomasz Przezdziecki, Arik Wilbert, Joanna Meinel, Hanno Becker, Antonio Sartori, Hoel Queffelec, Gisa Schaefer, and Sebastian Holzmann. She actively participates in the academic community through the Oberseminar Representation Theory (Darstellungstheorieseminar DAS), which she co-organizes with Johannes Flake, held Fridays 2:15-4pm in Endenicher Allee 60 - SR 1.008. Stroppel leads the Algebra and Representation Theory working group in Bonn and maintains strong connections with the Hausdorff Center for Mathematics, which recently received seven additional years of funding. Her research program continues to expand, with upcoming teaching responsibilities including V4A3 Representation Theory II for the WS25/26 semester.

• Representation theory of Lie algebras
• Knot theory and topology
• Categorification
• +۷ مورد دیگر

Ryomei Iwasa serves as Associate Professor in the Department of Mathematical Sciences at the University of Copenhagen, where his research bridges algebraic geometry and algebraic topology through advanced investigations in motivic homotopy theory and cohomology frameworks. His core research spans Algebraic Geometry, Algebraic Topology, Motivic Homotopy Theory, and K-Theory, with specialized focus on motivic spectra, algebraic cobordism, and the structural relationships between cohomology theories and moduli spaces. Recent publications demonstrate deep engagement with foundational aspects of Milnor excision, cdh descent, and modulus conditions in cycle theory. Analysis of his publication trajectory reveals a concentrated effort toward geometrization of cohomology theories, particularly evident in his 2025 Journal of the American Mathematical Society paper on Conner-Floyd isomorphisms and ongoing seminar work. Collaborations with leading mathematicians including Toni Annala, Marc Hoyois, and Wataru Kai underscore his position at the forefront of these mathematical frontiers. Scientific recognition includes: ERC MOSHOT grant He actively directs a weekly seminar on geometrization of cohomology theories, structuring comprehensive explorations from filtered modules to de Rham cohomology and prismatization. The seminar program—featuring presentations by Qingyuan Bai, Adrien Morin, and Florian Riedel—demonstrates his commitment to advancing collective understanding and mentoring emerging researchers in specialized mathematical domains.

• Algebraic Geometry
• Algebraic Topology
• Motivic Homotopy Theory
• +۲ مورد دیگر

Prof. Dr. Jörg Teschner is a Professor of Mathematics at the University of Hamburg and a permanent staff member at DESY (Deutsches Elektronen-Synchrotron). He has held these positions since 2016 and 2005, respectively. Since 2024, he serves as the Spokesperson of DFG CRC 1624 'Higher Structures, Moduli Spaces and Integrability'. His academic career includes a Heisenberg Fellowship (2003–2005) and research fellowships at institutions in Berlin, Dublin, Montpellier, and Paris. He earned his doctorate in Physics from Universität Hamburg in 1995 under Hermann Nicolai. His research bridges mathematical physics and string theory, focusing on: Conformal field theory and the geometric Langlands program Quantization of moduli spaces (Hitchin's moduli spaces, Teichmüller theory) Topological string theory and its connections to supersymmetric gauge theories Integrable models and isomonodromic deformations His recent publications (2017–2025) demonstrate a strong focus on topological string theory, geometric Langlands correspondence, and quantization techniques. Key trends include non-perturbative methods in string theory, connections between quantum groups and conformal field theory, and mathematical structures underlying supersymmetric gauge theories. He is an editor of 'Letters in Mathematical Physics' and maintains collaborations with leading institutions in mathematical physics.

• Mathematical Physics
• Conformal Field Theory
• Geometric Langlands Correspondence
• +۳ مورد دیگر

Dani S. Bassett is the J. Peter Skirkanich Professor at the University of Pennsylvania with primary appointment in the Department of Bioengineering (School of Engineering and Applied Science) and secondary appointments in Physics & Astronomy, Electrical & Systems Engineering, Neurology, and Psychiatry. They serve as an external professor at the Santa Fe Institute and lead a research group focused on complex systems and network science. B.S. in Physics, Penn State University (2004) Ph.D. in Physics, University of Cambridge as Churchill Scholar and NIH Health Sciences Scholar (2009) Postdoctoral position at UC Santa Barbara and Junior Research Fellow at Sage Center for the Study of the Mind Their research integrates complex systems science, statistical mechanics, and applied mathematics to study network dynamics in physical and biological systems. Key areas include brain connectivity mechanisms, cognitive processes, neurological disease modeling, granular matter physics, and collective human curiosity. Bassett employs advanced methodologies including algebraic topology, network control theory, and multilayer network analysis to investigate how network architecture influences system function across diverse domains. Recent publications reveal a strong trend toward interdisciplinary network science applications, particularly in modeling human curiosity through Wikipedia navigation patterns and analyzing brain network reconfiguration during cognitive development. Their work bridges physics, neuroscience, and behavioral science with emphasis on topological network properties and dynamical processes. American Psychological Association's Rising Star (2012) MacArthur Fellow Genius Grant (2014) Lagrange Prize in Complex Systems Science (2017) Erdos-Renyi Prize in Network Science (2018) American Physical Society Fellow (2021) Web of Science Highly Cited Researcher (3 consecutive years) Bassett's research is supported by major agencies including NSF, NIH, DoD, ONR, and private foundations (MacArthur, Sloan, Paul Allen). Their lab actively recruits students from physics, engineering, neuroscience, and computer science backgrounds, emphasizing diversity in academic perspectives. Current projects include the 'Curious Minds' initiative exploring collective knowledge building and network-based models of neurological disorders. Bassett co-authored the MIT Press book 'Curious Minds: The Power of Connection' with philosopher Perry Zurn.

• Network Science
• Complex Systems
• Brain Connectivity
• +۵ مورد دیگر

Prof. Anna Wienhard holds the position of Professor at the Mathematical Institute of Heidelberg University since 2012, where she leads the Differential Geometry research group. She is also Scientific Director of the Research Station Geometry and Dynamics (since 2020) and Co-Spokesperson of the Excellence Cluster STRUCTURES (since 2019). She serves as a Group Leader at the Heidelberg Institute for Theoretical Studies (HITS) since 2015 and chairs the Heidelberg Laureate Forum Foundation. Her roles include editorships for journals like Annales Henri Lebesgue, Annales scientifiques de l'Ecole Normale Supérieure, and Geometric and Functional Analysis. Anna Wienhard earned dual degrees in theology and mathematics from the University of Bonn (2003/2004). After a theological research phase supported by the CRC 'Judaism – Christianity', she completed her PhD in mathematics at the University of Bonn in 2004. She held positions as a Dickson Instructor at the University of Chicago (2005–2007), postdoctoral research at the Institute for Advanced Study (IAS) in Princeton (2005–2006, 2009–2012), and was an Assistant Professor at Princeton University (2007–2012). She also served as Director of Graduate Studies at Princeton (2007–2010). Her research focuses on discrete subgroups of Lie groups , deformation spaces , representation varieties , Anosov representations , higher Teichmüller theory , and positivity in Lie groups . She explores these areas with interdisciplinary applications in physics and data science. Notable projects include the ERC Consolidator Grant (2014) and leadership in the DFG Excellence Cluster 2181 and Graduiertenkolleg 2229. Her work has been recognized through awards such as the Sloan Research Fellowship (2012–2014) and Fellow of the American Mathematical Society . She has organized workshops on topics like Ergodic Decompositions, Flat Conformal Lorentzian Structures, and Ratner's Theorem. Her grants span DFG-funded initiatives and international collaborations, including the GEAR Network and MSRI programs. She is actively involved in editorial roles, academic committees, and interdisciplinary research activities. Prof. Wienhard advises doctoral candidates and oversees research groups. She collaborates with institutions such as the IAS, Technical Universities in Munich and Ingolstadt, and the Berlin-Brandenburg Academy of Sciences. Her research group at Heidelberg University specializes in differential geometry, and she contributes to the Excellence Cluster’s unifying approach to emergent phenomena across mathematics and physics.

• Discrete Subgroups of Lie Groups
• Deformation Spaces of Geometric Structures
• Representation Varieties
• +۶ مورد دیگر

James Reed Farre is a Researcher and Research Group Leader at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig, leading the Geometry on Surfaces group since October 2023. Previously, he held roles including Juniorprofessor (W1/Assistant Professor) at Ruprecht-Karls-Universität Heidelberg (2022–2023), Gibbs Assistant Professor at Yale University (2021–2022), and an NSF Postdoctoral Fellow at Yale (2019–2020). He earned his PhD in Mathematics from the University of Utah in 2019 under Kenneth Bromberg. His research focuses on hyperbolic geometry, dynamics of earthquake flows, Teichmüller theory, and geometric group theory. Notable areas include affine laminations, hyperconvex representations of surface groups, and ergodic theory in geometric contexts. Farre has contributed to understanding minimal surfaces in hyperbolic 3-manifolds and has explored applications of bounded cohomology to discrete groups. Publications span topics like shear-shape cocycles, horocycle orbit closures, and Hamiltonian flows for pseudo-Anosov mapping classes. His work bridges pure geometry with computational methods, as seen in CAD algorithm development for rigid subsystems. Farre is actively involved in mentoring and has contributed to STEM education initiatives, including the Freshman Research Initiative.

• Hyperbolic Geometry
• Dynamics
• Teichmüller 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

Geoffroy Horel is a Lecturer at the University of Paris 13 , affiliated with the Institut Galilée in France. His research spans algebraic topology, operads, and geometric topology, with a focus on homotopy theory and formality theorems. He can be contacted at horel@math.univ-paris13.fr . Research Interests : Algebraic topology, operads, homotopy theory, motivic homology, Galois representations, and knot theory. Projects : Member of the ANR HighAGT project and the Algebraic and Geometric Topology Thematic Network. Advising : Supervises PhD and Master’s students including Nicolas Guès, Coline Emprin, Jinwen Xu, and others. His publications (15 recent works) explore topics like little disks operads, motivic stability, and Galois symmetries.

• Algebraic Topology
• Operads
• Homotopy Theory
• +۴ مورد دیگر