جستجوی استاد راهنمای دانشگاهی

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

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.

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)

Johannes Ebertمشاهده پروفایل

استاد

• Topology
• Differential Geometry
• Algebraic Topology
• +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.

Wolfgang Steimleمشاهده پروفایل

استاد

• Differential Geometry
• Algebraic Topology
• Algebraic K-theory
• +۵ 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.

Jürg Kramerمشاهده پروفایل

استاد

• Arakelov Geometry
• Automorphic Forms
• Modular Forms
• +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.

Barak Weissمشاهده پروفایل

استاد

• Homogeneous Dynamics
• Ergodic Theory
• Diophantine Approximation
• +۴ مورد دیگر

Professor Barak Weiss is a distinguished faculty member in the School of Mathematical Sciences at Tel Aviv University's Faculty of Exact Sciences. His research focuses on the intersection of dynamical systems, number theory, and geometry, particularly in the areas of homogeneous dynamics, ergodic theory, and Diophantine approximation. Professor Weiss has made significant contributions to the understanding of translation surfaces, lattice orbits, and the dynamics of flows on homogeneous spaces. His work often bridges pure mathematics with applications in number theory and geometry, revealing profound connections between seemingly disparate fields. His research on horocycle dynamics, measure rigidity for fractal carpets, and the classification of cut-and-project sets has advanced our understanding of geometric structures and their dynamical properties. His recent publications (2023-2025) demonstrate a strong focus on equidistribution phenomena, statistical properties of dynamical systems, and the application of homogeneous dynamics to problems in geometric number theory. A notable trend in his work is the interplay between geometric structures and their arithmetic properties, particularly in the context of Diophantine approximation. Professor Weiss actively organizes the "Homogeneous Dynamics and Applications" seminar at Tel Aviv University, which has been running continuously since at least 2014 with detailed schedules available through 2025. This seminar serves as a hub for cutting-edge research discussions, featuring both local and international speakers working on dynamical systems and related areas. He teaches advanced courses in analysis and supervises graduate students, with recent teaching assignments including Real Analysis for summer semester 2025. His office is located in Schreiber building, room 329, and his regular office hours are Tuesdays from 15:00-16:00.

Gert-Martin Greuelمشاهده پروفایل

استاد

• Singularity Theory
• Computer Algebra
• Algebraic Geometry
• +۳ مورد دیگر

Prof. Gert-Martin Greuel is a distinguished mathematician and Emeritus Professor at RPTU Kaiserslautern, where he previously held a Professorship in the Department of Mathematics. His career includes roles as Director of the Mathematisches Forschungsinstitut Oberwolfach (2002-2013) and as editor of major journals like Zentralblatt MATH. He co-founded the Singular computer algebra system and led the Center for Computer Algebra at Kaiserslautern. Research Interests: His work focuses on singularity theory, algebraic geometry, and computational algebra. Key contributions include foundational studies on hypersurface singularities, equisingularity, and the development of mathematical software tools like Singular and swMATH. Awards: Greuel received the Richard D. Jenks Prize (2004) for Singular, an honorary doctorate from Leibniz University Hannover (2009), and the German Mathematical Society's Media Prize (2013). He pioneered public math exhibitions through the IMAGINARY project. Leadership & Outreach: He served as Chair of European Research Centres on Mathematics (2010-2013) and championed open-access initiatives for mathematical software and publications. His editorial roles span Oberwolfach Reports, Revista Matemática Complutense, and Ergebnisse series. Education: PhD (1973) and Habilitation (1980) from University of Göttingen and Bonn, respectively. His academic journey includes professorships in Osnabrück and Kaiserslautern, and supervision of over 20 PhD students in algebraic geometry and computational mathematics.

• Algebraic Geometry
• Algebraic Topology
• Motivic Homotopy Theory
• +۲ 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.

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

Sebastian Goette is a Professor at the Mathematical Institute of the University of Freiburg, where he serves in the Department of Pure Mathematics. His office is located in Room 339 at Ernst-Zermelo-Straße 1, D-79104 Freiburg, Germany. He teaches courses including Differential Geometry, Algebraic Topology, and Mathematics, with office hours held on Wednesdays from 13:00 to 14:00. Professor Goette's research interests center on differential geometry, with particular focus on special holonomy, G2-manifolds, scalar curvature, and topological invariants. His work bridges pure mathematics with applications in mathematical physics, particularly in areas related to string theory and gauge theory. He employs advanced techniques from algebraic topology, spectral geometry, and Riemannian geometry to investigate the structure of manifolds and their classification. Analysis of his recent publications reveals a strong emphasis on the geometry and topology of 7-manifolds with special holonomy, particularly G2-structures. His research spans both theoretical developments in invariant theory and concrete classification results for specific manifolds. The work often involves sophisticated interactions between analysis, topology, and geometry, with applications to mathematical physics. Professor Goette is actively involved in multiple research collaborations, including the Simons Collaboration on Special Holonomy in Geometry, Analysis and Physics, the Research Training Group Cohomological Methods in Geometry, and the DFG Priority Programme Geometry at infinity, where he leads project 04 on Secondary invariants of foliations. He is scheduled to take a sabbatical in summer 2025.

• Algebraic Geometry
• Hyperkähler Manifolds
• Rozansky-Witten Invariants
• +۳ مورد دیگر

Prof. Dr. Marc Nieper-Wißkirchen is a University Professor (W3) for Algebra and Number Theory at the Institute of Mathematics, University of Augsburg, since 2008. He has held visiting positions at the Max Planck Institute for Mathematics in Bonn and the University of Cambridge, and served as a Junior Professor at Johannes Gutenberg University Mainz (2004–2008). Since October 2021, he has been Vice Dean of the Faculty of Mathematics, Natural Sciences and Technology (MNTF). Education: Diploma in Mathematics (2000) from the University of Cologne, preceded by preliminary diplomas in physics (1997) and mathematics (1997). His doctoral studies (2000–2002) under Prof. Daniel Huybrechts focused on characteristic classes and Rozansky-Witten invariants of hyperkähler manifolds. His research spans algebraic geometry, differential geometry, and mathematical physics, with a focus on hyperkähler manifolds, Hilbert schemes of points, irregular singular connections, and Stokes phenomena. He has contributed to the understanding of Rozansky-Witten invariants, Chern numbers, and topological aspects of differential equations. Recent publications include works on Betti structures of hypergeometric equations (2022) and Stokes matrices for confluent hypergeometric equations (2022), reflecting his ongoing exploration of differential equations' geometric underpinnings. Earlier works address Hochschild homology, equivariant cohomology, and operads in algebraic contexts. His computational contributions include software demonstrations for elliptic curve arithmetic, Collatz sequences, and Google Matrix simulations. Technical expertise includes programming languages (TeX, PHP, HTML) and systems (Unix/Linux, Zope/Plone).