جست‌وجوی استاد و پژوهشگر

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

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.

• Algebraic Geometry
• Arithmetic Geometry
• Number Theory
• +۵ مورد دیگر

Prof. Peter Scholze is a leading mathematician at the Max Planck Institute for Mathematics in Bonn, specializing in algebraic geometry and arithmetic geometry. He holds the academic rank of Professor and is part of the Arbeitsgruppe Algebraische Geometrie und Darstellungstheorie. His research focuses on foundational questions in algebraic geometry, number theory, and representation theory, particularly through the lens of the Langlands program, p-adic Hodge theory, and perfectoid spaces. Scholze has pioneered geometric approaches to the local Langlands correspondence and introduced revolutionary concepts like prismatic cohomology and condensed mathematics. He actively contributes to academia through advanced courses on topics such as geometrization of the Langlands program, étale cohomology, and condensed mathematics. His work bridges algebraic geometry with representation theory, addressing fundamental problems in arithmetic geometry and p-adic analysis. Scholze’s research outputs include seminal papers on perfectoid spaces, prismatic cohomology, and the geometrization of local Langlands correspondence. He collaborates extensively with leading mathematicians globally, contributing to collaborative research initiatives like the ARGOS seminar and the Habiro ring project. His teaching engagements include advanced lectures on algebraic geometry, representation theory, and p-adic geometry, reflecting his commitment to training the next generation of researchers. Despite no explicitly listed awards in the provided text, Scholze is widely recognized as a Fields Medalist (2018) and a leading figure in modern mathematics.

Eva Viehmannمشاهده پروفایل

استاد

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

Prof. Dr. Eva Viehmann is a leading mathematician at the University of Münster within the Faculty of Mathematics and Computer Science and a key figure in the Mathematics Münster cluster. She was awarded the prestigious Gottfried Wilhelm Leibniz Prize 2024 for her groundbreaking work in arithmetic algebraic geometry and representation theory within the Langlands program . University: University of Münster Department: Mathematical Institute Her research focuses on the intersection of algebra , geometry , and analysis , particularly through the lens of Shimura varieties and moduli spaces of local G-shtukas . She has pioneered the study of affine Deligne-Lusztig varieties in equal and mixed characteristics, advancing understanding of their dimension , connectedness , and irreducible components . Recent publications highlight her work on Newton stratification , Harder-Narasimhan theory , and p-adic moduli spaces . Her scientific advisory contributions include mentoring former doctoral student Stefania Trentin and collaborating with Prof. Urs Hartl over 15 years. Awards and honors include the Leibniz Prize 2024 , reflecting her status as a trailblazer in arithmetic geometry and p-adic geometry . Her research projects span the CRC 1442 and EXC 2044 , aiming to unify Galois representations , automorphic forms , and geometric methods .

Urs Hartlمشاهده پروفایل

استاد

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

Prof. Dr. Urs Hartl is a faculty member in the Department of Mathematics and Computer Science 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 the Collaborative Research Centre (CRC) 1442 'Geometry: Deformations and Rigidity.' His research focuses on arithmetic geometry, representation theory, algebraic number theory, and arithmetic of function fields. He holds a prominent position in the field, contributing to areas such as Shimura varieties, p-adic Hodge theory, and the Langlands program. Affiliations: Member of CRC 1442 Geometry Investigator in Mathematics Münster Research Interests: Arithmetic algebraic geometry Algebraic number theory Arithmetic of function fields Structure theory of Shimura varieties p-adic Hodge theory p-adic Langlands programme Model theory Recent Publications: Hartl's recent work includes studies on moduli stacks of global G-shtukas, periods of Drinfeld modules, and p-adic Galois representations. His research emphasizes foundational contributions to arithmetic geometry and number theory, often involving collaborations with leading mathematicians such as Rajneesh Kumar Singh and Eva Viehmann. Grants & Advising: Hartl’s involvement in CRC 1442 reflects his leadership in geometric research. While specific advising details are not provided, his extensive publications suggest active mentorship in advanced mathematical research. Labs/Teams: Collaborates within the Mathematics Münster research group and the CRC 1442 team, focusing on geometric and arithmetic structures.

Peter Schneiderمشاهده پروفایل

استاد

• Arithmetic geometry
• Representation theory
• Cohomology theories
• +۷ مورد دیگر

Prof. Dr. Peter Schneider is a faculty member at the University of Münster, affiliated with the Faculty of Mathematics and Computer Science and the Department of Mathematics and Computer Science . He is a principal investigator in the CRC 1442 Geometry: Deformations and Rigidity and contributes to the Mathematics Münster cluster. University: University of Münster School: Faculty of Mathematics and Computer Science Department: Department of Mathematics and Computer Science Academic Rank: Professor His research focuses on arithmetic geometry and representation theory , particularly the p-adic Langlands program , cohomology theories in mixed characteristics, and noncommutative algebraic structures. He investigates derived categories of p-adic representations, moduli spaces of Galois representations, and geometric approaches to automorphic forms. He has supervised numerous students, including Torsten Schoeneberg (2009), Marten Bornmann (2009), and Marius Kley (2016, 2019). His collaborative works with Rachel Ollivier, Otmar Venjakob, and Marie-France Vigneras explore modular Hecke algebras, Iwasawa theory, and (phi, Gamma)-modules. Emails: pschnei@wwu.de pschnei@uni-muenster.de Workshops Organized: Noncommutative Algebras (2006) Instructional workshop on noncommutative main conjectures (2011) International workshop on K-types for p-adic groups (2003)

Jörg Teschnerمشاهده پروفایل

استاد

• Mathematical Physics
• Conformal Field Theory
• Geometric Langlands Correspondence
• +۳ 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.

Eugen Hellmannمشاهده پروفایل

استاد

• Arithmetic Geometry
• Representation Theory
• Langlands Program
• +۷ مورد دیگر

Prof. Dr. Eugen Hellmann is a full Professor at the Mathematical Institute of the University of Münster , within the Department of Mathematics and Computer Science . He is a leading researcher in arithmetic geometry and representation theory, actively contributing to the CRC 1442 Geometry: Deformations and Rigidity and Mathematics Münster excellence cluster. His work focuses on the p-adic aspects of the Langlands program, moduli spaces of Galois representations, and p-adic Hodge theory. Research Interests: His primary research areas include Arithmetic Algebraic Geometry , the Langlands Program (especially its p-adic and categorical formulations), p-adic Hodge Theory , p-adic Galois Representations , and p-adic Automorphic Forms . His work often involves the study of (phi,Gamma)-modules, eigenvarieties, and deformation spaces, aiming to understand the deep connections between automorphic forms and Galois representations in the p-adic setting. Publication Trends: His most recent publications (2022–2023) show a strong focus on the derived and categorical aspects of the p-adic Langlands program, including the derived category of Hecke algebras and a categorical framework for the entire program. Earlier works established foundational results on the smoothness of eigenvarieties, the geometry of trianguline varieties, and the structure of moduli spaces for Galois representations. His research consistently bridges abstract algebra, number theory, and algebraic geometry. Scientific Awards: No specific awards or fellowships are mentioned in the provided texts. Advising and Grants: While a list of former research group members (e.g., Dr. Claudius Heyer, Dr. Damien Junger) is provided, their exact status as PhD advisees is not explicitly confirmed. He leads significant research projects funded by the DFG, including CRC 1442 - A01: Automorphic forms and the p-adic Langlands programme and CRC 1442 - A02: Moduli spaces of p-adic Galois representations , as well as a project within the EXC 2044 - A1: Arithmetic, geometry and representations cluster. He is also a co-author on a preprint titled "Patching and multiplicities of p-adic eigenforms," indicating active collaboration on grant-funded research. Labs and Teams: He is a central figure in the arithmetic geometry group at Münster. He organizes and leads the Research Seminar "p-adic arithmetic" and the Mittagsseminar "Arithmetic" , which serve as key forums for his research group and collaborators to present and discuss current work. His research team has included several postdoctoral researchers and doctoral students, contributing to a vibrant research environment focused on cutting-edge problems in number theory.

Jochen Heinlothمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Algebraic Stacks
• +۷ مورد دیگر

Prof. Dr. Jochen Heinloth is a full Professor at the Faculty of Mathematics, University of Duisburg-Essen, where he leads a research group focused on algebraic geometry, moduli spaces, and algebraic stacks. He is actively involved in teaching, research, and seminar supervision, with a strong presence in both national and international mathematical communities. His research interests include Algebraic Geometry , Moduli Spaces , Algebraic Stacks , Higgs Bundles , and the Geometric Langlands Program . His work bridges abstract category-theoretic constructions with concrete geometric problems, particularly in the context of bundles and representations on algebraic curves. The most recent publications reflect a deep engagement with moduli theory, stability conditions, and geometric representation theory. Trends include the study of the P=W conjecture, support theorems for Hitchin fibrations, and structural results on algebraic stacks. His collaborations with leading mathematicians such as J. Alper, O. García-Prada, and Ngo Bao Chau highlight his central role in modern algebraic geometry. No scientific awards are mentioned in the provided text. Prof. Heinloth advises PhD students and junior researchers, as evidenced by his long-running Seminar on Stacks , where participants present advanced topics in algebraic geometry. He has supervised talks by X. Zhang, M. Zhou, and others, indicating active mentorship. While no grants are explicitly mentioned, his sustained research output and collaborations suggest ongoing funding support. He teaches a wide range of courses, from undergraduate algebra and analysis to advanced topics like Algebraic Geometry and Stacks. He leads the Research Group Heinloth , which organizes seminars and fosters collaboration on stacks, moduli, and related fields. The group hosts regular PhD-level seminars, often in collaboration with other researchers, and maintains a focus on both foundational and cutting-edge topics in algebraic geometry.

• Number Theory
• Representation Theory
• p-adic Groups
• +۳ مورد دیگر

Jessica Fintzen is a Professor of Mathematics at the University of Bonn since 2022, holding the Chair for Number Theory. Previously, she served as a Royal Society University Research Fellow and Lecturer at the University of Cambridge (2020–2022) and Assistant Professor at Duke University (2020–2021). Her academic journey includes postdoctoral roles at the University of Michigan (2016–2020) and the Institute for Advanced Study (2017–2018). She earned her PhD in Mathematics from Harvard University in 2016, alongside dual BSc degrees in Mathematics and Physics from Jacobs University Bremen (2011). Her research focuses on number theory and representation theory , particularly on p-adic groups and the Langlands program. She has organized high-profile conferences such as the 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference and the Arizona Winter School 2025. Her work bridges theoretical insights with applications, including contributions to Bruhat-Tits theory, Hecke algebras, and automorphic forms. Fintzen has been recognized with prestigious awards, including the EMS Prize (2024), the Frank Nelson Cole Prize in Algebra (2024), and the Whitehead Prize (2022). She leads the ERC Starting Grant-funded project and has secured NSF grants, including a CAREER Grant. Her research also involves collaborations on topics like Moy-Prasad filtrations and stable vectors in representation theory. Grants: ERC Starting Grant (2022–2027), NSF CAREER Grant (2021–2026), NSF Grant (2018–2022) Fellowships: Sloan Research Fellowship (2021–2023), Royal Society Fellowship (2020–2025) Professional Activities: Organized conferences, led working groups, and contributed to initiatives like the Arithmetic Geometry and Representation Theory group in Bonn.

Moritz Kerzمشاهده پروفایل

استاد

• Arithmetic Geometry
• Algebraic K-Theory
• Number Theory
• +۱ مورد دیگر

Moritz Kerz is a Professor of Mathematics at the University of Regensburg's Faculty of Mathematics. His research spans arithmetic geometry and algebraic K-theory, with significant contributions to class field theory and cohomological methods. He leads a research group including postdoctoral scholars and doctoral candidates. Research Focus: Kerz's investigations center on: Non-archimedean K-theory and its applications to geometric problems Arithmetic invariants in positive characteristic Higher-dimensional class field theory constructions Monodromy representations and density theorems Publication Trends: Recent work demonstrates a consistent focus on K-theoretic invariants in arithmetic contexts, particularly through: Innovative applications to rigid analytic geometry Interactions between étale cohomology and representation theory Non-commutative generalizations of class field theory Awards: Minkowski Medal (2020) K-theory Prize (2014) Carus Medal (2011) Heinz Maier-Leibnitz Prize (2011) Cultural Prize of Bavaria (2009) Research Group: Current team members include Carolyn Echter, Lukas Krinner, Andrea Panontin, Yanshuai Qin, Yuenian Zhou, and Paul Ziegler, with research spanning arithmetic geometry and K-theory applications.

Jakob Scholbachمشاهده پروفایل

دانشیار

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

Jakob Scholbach is an Associate Professor at the Department of Mathematics, University of Padua. His research focuses on motives in the Langlands program, abstract homotopy theory, and Arakelov theory. He has collaborated extensively with researchers like Timo Richarz, Robert Cass, and Thibaud van den Hove, producing influential work in geometric representation theory and motivic cohomology. Education: Completed his PhD in Mathematics at the University of Freiburg under Annette Huber in 2011. His habilitation thesis further solidified his expertise in motives and homotopy theory. Research Interests: Scholbach’s work bridges algebraic geometry, number theory, and homotopy theory. He explores categorical structures in motives, geometric Satake equivalence, and Frobenius rigidity. His recent publications address Künneth formulas for cohomological motives and integral motives on affine flag varieties. Publications: Over 20 peer-reviewed articles in top journals like Compositio Mathematica , Advances in Mathematics , and Documenta Mathematica . His work is widely cited in the fields of geometric representation theory and motivic cohomology. Awards: No specific awards are listed, though his prolific and impactful research suggests recognition in academic circles. Advising & Grants: Coordinates the MSCA Doctoral Network REMOLD (Representations, Motives and Langlands Duality) and has organized workshops on representation theory’s hidden motives. No advisees are explicitly listed in the provided text. Labs/Teams: Leads the REMOLD network, fostering collaboration between algebraic geometry and geometric representation theory researchers.

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

Prof. Dr. Sascha Orlik is a Professor at the University of Wuppertal, leading the Algebra and Number Theory Working Group within the Department of Mathematics. His research focuses on arithmetic geometry, with particular emphasis on p-adic period ranges, the Langlands Program, Deligne-Lusztig varieties, and representation theory of p-adic and finite groups of Lie type. He has contributed to foundational studies in cohomology of period domains and equivariant vector bundles over Drinfeld's spaces. His working group includes members such as Dr. Andreas Bode, MSc. Erik Barinaga, and MSc. Dominik Briganti, alongside former members like Dr. Martin Bender and Dr. Christoph Spenke. He has authored a notable monograph *Period domains over finite and p-adic fields* (Cambridge Tracts in Mathematics) and numerous influential publications in journals like *Inventiones mathematicae* and *Advances in Mathematics*. Research trends in his articles span the interplay between geometric and cohomological methods in p-adic settings, with a focus on representation theory and its applications to number theory. His work bridges algebraic geometry, topology, and arithmetic, addressing key problems in modern arithmetic geometry and the Langlands Program.

Dennis Gaitsgoryمشاهده پروفایل

استاد

• Representation Theory
• Algebraic Geometry
• Geometric Langlands Program
• +۲ مورد دیگر

Dennis Gaitsgory is a Professor of Mathematics at Harvard University since 2005 and Director of the Max Planck Institute for Mathematics (MPI) in Bonn since 2021. He holds dual roles in academia and research leadership. Education: Born in 1973. Studies at Tel Aviv University (1990–1996). PhD in Mathematics under Joseph Bernstein (1997). Research Interests: Focuses on advanced mathematical structures, including Representation Theory, Algebraic Geometry, and the Geometric Langlands Program. His work bridges abstract algebraic concepts with geometric frameworks, influencing modern theoretical mathematics. Awards: European Mathematical Society Prize (2000). Clay Senior Scholar (2019). Elected to the U.S. National Academy of Sciences (2020). Advising & Leadership: Served as a Visitor at the Institute for Advanced Study (1996–1999), Clay Research Fellow (2000–2004), and Professor at the University of Chicago (2001–2004). Directs the MPI’s research initiatives and oversees its mathematical programs. Institutional Affiliations: Leads the MPI for Mathematics, a global hub for pure mathematics research.

Tobias Schmidtمشاهده پروفایل

استاد

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

Prof. Tobias Schmidt is a Professor in the Department of Mathematics at Bergische Universität Wuppertal, affiliated with the Faculty of Mathematics and Natural Sciences. His research focuses on Algebra, Number Theory, and Representation Theory, with a particular emphasis on D-modules, p-adic analysis, and algebraic geometry. He has supervised multiple doctoral students, including Ziqian Yin and Julian Reichardt. Recent research includes studies on equivariant D-modules, Lubin-Tate moduli spaces, and Hecke modules, with publications in journals like Mathematische Zeitschrift and Representation Theory. He actively participates in academic conferences and collaborates with institutions in Rennes, Strasbourg, and beyond. His work bridges geometric and arithmetic aspects of representation theory, contributing to the p-adic Langlands program and related fields. Teaching includes courses on linear algebra and seminars on algebraic topology and representation theory. His research spans over two decades, with key contributions to D-module theory, distribution algebras, and modular representation theory. Professional service includes organizing conferences like the 2021 GDR TLAG colloquium and participation in workshops across Europe.

Jackson van Dykeمشاهده پروفایل

پژوهشگر ارشد

• Topological Quantum Field Theory
• Higher Algebraic Geometry
• Quantum Topology
• +۳ مورد دیگر

Dr. Jackson van Dyke is a Research Fellow at the Technical University of Munich under Prof. Dr. Claudia Scheimbauer in the Department of Mathematics (M2) at the TUM School of Computation, Information and Technology. His research explores anomalous properties of functorial quantum field theories. Broad applications include classification of topological orders Higher algebraic geometry Relative Langlands program Publications span 2023-2024 articles on projective TQFT symmetries, 2020 work on knot Floer homology, and 2017-2020 studies in radiation material testing and fission modeling. His presentation history includes talks at University of Lisbon, University of Hamburg, and Simons Collaboration events.