جستجوی استاد راهنمای دانشگاهی

Jeffrey F. Brock is the Dean of the School of Engineering & Applied Science and the William S. Massey Professor of Mathematics at Yale University. He holds the Zhao and Ji Chair in Mathematics. His research focuses on low-dimensional geometry and topology, particularly hyperbolic geometry and its applications to data analysis. He completed his undergraduate studies at Yale and earned his Ph.D. from UC Berkeley. He held positions at Stanford, the University of Chicago, and Brown University, where he chaired the Mathematics Department from 2013 to 2017 and founded Brown’s Data Science Initiative in 2016. He joined Yale in 2018, serving as inaugural Dean of Science in the Faculty of Arts and Sciences until assuming his current role in 2022. He is a Guggenheim Fellow and Fellow of the American Mathematical Society. His research spans hyperbolic 3-manifolds, Teichmüller dynamics, and geometric methods in data science. Notable contributions include work on Thurston’s geometrization program, classification of hyperbolic manifolds, and applications of geometric topology to complex datasets. He co-authored foundational papers on ending laminations, Weil-Petersson geometry, and renormalized volume. His recent work bridges pure mathematics with applied challenges, such as algorithmic detection of medical imaging patterns. Awarded the Guggenheim Fellowship (2008) and AMS Fellow (2017), Brock has also led interdisciplinary initiatives at Brown and Yale. His administrative roles include overseeing engineering, natural sciences, and data science programs. Beyond academia, he co-founded the Vijay Iyer Trio, showcasing his passion for music performance and creativity.

• Low-dimensional geometry
• Hyperbolic geometry
• Topology
• +۳ مورد دیگر

Prof. Igors Gorbovickis is an Associate Professor of Mathematics at the Department of Mathematics, School of Computer Science and Engineering, Constructor University (formerly Jacobs University Bremen). His research focuses on complex dynamical systems, including topics such as renormalization theory, bifurcation analysis, Julia sets, and applications to mathematical physics. He also contributes to discrete geometry, particularly exploring conjectures like the Kneser-Poulsen problem. His work bridges pure mathematics with interdisciplinary applications, emphasizing rigorous analysis of nonlinear systems and geometric configurations. Key areas of investigation include critical point accumulations, Hausdorff dimension estimates, and equidistribution phenomena in parameter spaces. Recent publications highlight advancements in understanding chaotic systems, circle maps, and the interplay between algebraic structures and dynamical behavior. Prof. Gorbovickis collaborates internationally, with co-authored papers appearing in journals like Advances in Mathematics , Ergodic Theory and Dynamical Systems , and Nonlinearity . His office is located at Research I, Room 128 on the Constructor University campus in Bremen, Germany.

• Dynamical Systems
• Complex Analysis
• Discrete Geometry
• +۳ مورد دیگر

Professor Katrin Tent is a distinguished mathematician specializing in mathematical logic at the University of Münster, where she holds a professorship in the Faculty of Mathematics and Computer Science within the Institute for Mathematical Logic and Foundations Research. She is an active researcher in Mathematics Münster, an investigator in CRC 1442 Geometry: Deformations and Rigidity, and contributes to multiple research projects including Topics in Mathematics Münster T3: Models and universes, T4: Groups and actions, and T8: Random discrete structures and their limits. PhD in Linguistics, Christian-Albrechts-Universität zu Kiel (1988) Diplom in Mathematics, Christian-Albrechts-Universität zu Kiel (1989) PhD in Mathematics, University of Notre Dame (1994) Habilitation, "Model theory of groups and BN-pairs" (2000) Professor Tent's research bridges model theory, group theory, and geometry, with particular focus on finite Morley rank structures, BN-pairs, and sharply multiply transitive groups. Her work often combines methods from these areas to prove unexpected results, either constructing groups or incidence geometries with surprising model theoretic properties or using model theory to construct new and interesting geometries or groups. Her recent publications reveal a consistent trajectory connecting model theory with group-theoretic structures. She has made significant contributions to understanding sharply 2- and 3-transitive groups, finite Morley rank geometries, and the model theory of generalized polygons. Her work demonstrates how model-theoretic techniques can solve deep problems in group theory and geometry, particularly through the study of BN-pairs and incidence structures. DFG Research Fellowship (1996-1998) Bayerischer Habilitationsförderpreis (1998-2001) Heisenberg-Stipendium (2001-2004) ERC Consolidator Grants expert panel (2016, 2018) Elected to DFG Senate (2019) Professor Tent leads an active research group with current members including Marco Amelio, Dr. Benjamin Brück, Anna Cascioli, Lukas Jonuska, Silke Meissner, Zahra Mohammadi Khangheshlaghi, and Dr. Sam Shepherd. Her former research group members include Dr. Simon Andre, Dr. Isabel Müller, and Dr. Tim Clausen, among others. Her supervisory work spans both theoretical foundations and specific applications in geometric group theory and model theory. Her research group operates within the Institute for Mathematical Logic and Foundations Research at the University of Münster, collaborating closely with other researchers in the Mathematics Münster cluster. The group participates in various projects including CRC 1442 - C04: Group theoretic aspects of negative curvature, contributing to the vibrant mathematical research environment at one of Germany's leading mathematics institutions.

• Model theory
• Group theory
• Geometry
• +۴ 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 Jürgen Richter-Gebert is a full professor of Geometry and Visualization at the Technical University of Munich (TUM), working within the TUM School of Computation, Information and Technology. Born in 1963, he has been at TUM since 2001, following positions at ETH Zurich (1997-2001) and TU Berlin (1994-1997). His educational background includes studies at TU Darmstadt (1983-1988) and dual PhDs from TU Darmstadt and KTH Stockholm (1991-1992). Richter-Gebert's research spans combinatorial and computer-oriented geometry, with particular expertise in polytope theory and mathematical visualization software. He develops processes for the automatic generation of geometric problem solutions and is actively involved in raising the public profile of mathematics. Richter-Gebert's publications and research focus on the intersection of mathematics and computer science, with particular emphasis on projective geometry, dynamic geometry, polytope theory, and combinatorial geometry. His work demonstrates how mathematical structures can be made accessible through computerized interactive visualizations. His most notable publications include "Perspectives on Projective Geometry" (2011) and "Geometriekalküle" (2009), along with numerous papers on dynamic geometry systems. Ars Legendi Prize for excellent university teaching (2011) Karl Max von Bauernfeind Medal of the TUM (2010) MedidaPrix - media didactic university prize (2008) EASA - European Academic Software Award (2000) Communicator Preis for science communication (2021) As founder and director of the ix-quadrat mathematics exhibition at the Garching Campus, Richter-Gebert has made significant contributions to mathematics education and outreach. He has developed influential mathematical visualization tools including Cinderella, CindyJS, and iOrnament, which have received multiple awards for educational software excellence. His research group focuses on mathematical foundations, authoring systems, and mathematical visualizations with applications in education and public scenarios.

• Geometry
• Visualization
• Computer Science
• +۷ مورد دیگر

Prof. Dr. Daniel Hug is a Professor at the Karlsruhe Institute of Technology (KIT) , affiliated with the Department of Mathematics and the Institute of Stochastics . His research focuses on Probability , Geometry , Convex geometric analysis , Stochastic geometry , and Educational mathematics . He contributes to the DFG Priority Program Random Geometric Systems and previously participated in the DFG research unit Geometry and Physics of Spatial Random Systems . Prof. Hug has co-authored two influential monographs: Poisson Hyperplane Tessellations (Springer Monographs in Mathematics) and Lectures on Convex Geometry (Springer Graduate Texts in Mathematics, 2020). His work spans theoretical advancements in convex and stochastic geometry , including integral geometry, random mosaics, and tensor valuations, alongside applied studies in digital microstructures and Minkowski tensors . His publications from 2025–2024 emphasize hyperbolic space , Boolean models , and Minkowski tensor estimators , reflecting ongoing collaborations with researchers like M. Klatt, C. Thäle, and R. Schneider. Prof. Hug leads courses such as Stochastic Geometry and seminars on Random graphs and tessellations , and is actively involved in working groups like AG Stochastische Geometrie and AG Stochastik .

• Probability
• Geometry
• (Convex) geometric analysis
• +۳ مورد دیگر

Bo Xiong is a researcher at the University of Stuttgart in the Analytic Computing group. His research focuses on machine learning and knowledge graphs , with a particular emphasis on geometric embeddings and hyperbolic neural networks. His research interests include: Knowledge graph embeddings Hyperbolic and pseudo-Riemannian geometry in AI Temporal knowledge graph reasoning Structured multi-label prediction Recent publications highlight his work on geometric relational embeddings, complex query answering, and temporal fact reasoning using advanced manifold-based techniques.

• Machine Learning
• Knowledge Graphs
• Graph Neural Networks
• +۴ مورد دیگر

Jeffrey F. Brock is the Zhao and Ji Professor of Mathematics and Dean of the School of Engineering & Applied Science at Yale University. He also serves as the inaugural Dean of Science in Yale's Faculty of Arts and Sciences. His research focuses on low-dimensional geometry and topology, particularly hyperbolic geometry and its applications to data science. He has held leadership roles including Chair of Brown University's Mathematics Department (2013–2017) and founding Director of Brown’s Data Science Initiative (2016). Roles: Dean of Engineering, Mathematics Professor Key Affiliations: Yale University, Brown University Education: B.S. from Yale University, Ph.D. in Mathematics from U.C. Berkeley (under Curtis McMullen). Postdoctoral positions at Stanford and University of Chicago. Extensive academic leadership experience, including administrative roles at both Brown and Yale. Research Interests: Hyperbolic 3-manifolds, Teichmüller theory, geometric structures in data science. Notable contributions include geometric classification of hyperbolic 3-manifolds (with R. Canary and Y. Minsky) and advancing topological methods for analyzing complex data sets. Publications: Over 40 peer-reviewed articles, including foundational work on the ending lamination conjecture and Weil-Petersson geometry. Recent work applies geometric methods to machine learning and medical imaging. Awards: John Simon Guggenheim Fellowship (2008), Fellow of the American Mathematical Society (2017). Labs/Initiatives: Brown’s Data Science Initiative, geometric and topological data analysis projects.

• Low-dimensional geometry and topology
• Hyperbolic geometry
• Teichmüller theory
• +۳ 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.

• Differential Geometry
• Special Holonomy
• Algebraic Topology
• +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

Prof. Dr. Sören Laue is a Professor of Machine Learning at the University of Hamburg's Department of Informatics. His research focuses on optimization algorithms, machine learning frameworks, and high-performance computing. He leads the Machine Learning research group and developed the GENO optimization framework and the Matrix Calculus toolset. His work emphasizes GPU acceleration, tensor operations, and scalable solutions for classical machine learning problems. Projects: GENO solver (Python-based optimization), Matrix Calculus (derivative computation), and SQL-based tensor operations. Key Research Themes: Optimization frameworks, GPU computing, neural network scalability, and algorithm design. Selected recent publications highlight contributions to tensor calculus benchmarks, GPU-optimized machine learning pipelines, and novel optimization methods. His work bridges theoretical foundations and practical software tools for the machine learning community.

• Machine Learning
• Optimization Algorithms
• GPU Computing
• +۳ 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

Riddhipratim Basu is an Associate Professor at the International Centre for Theoretical Sciences (ICTS-TIFR) in Bengaluru, India, since September 2017. Previously, he was a Szegö Assistant Professor of Mathematics at Stanford University (2015–2017) and a Ph.D. graduate in Statistics from UC Berkeley (2015), supervised by Allan Sly. Research focuses on Probability Theory, with emphasis on First/Last Passage Percolation, Interacting Particle Systems, Large Deviations, and Random Matrix Theory. Key collaborators include Allan Sly, Shirshendu Ganguly, Mahan Mj, and Manan Bhatia. Publications span journals like Communications on Pure and Applied Mathematics , Annals of Probability , and Comm. Math. Phys. His work explores geodesic structures in percolation models, scaling exponents in KPZ universality, and geometric properties of stochastic processes. Recent studies include Liouville Quantum Gravity and Airy process fluctuations.

• Probability Theory
• First Passage Percolation
• Last Passage Percolation
• +۵ مورد دیگر

Don Zagier is a distinguished mathematician holding positions as Scientific Member and former Director at the Max Planck Institute for Mathematics in Bonn. He has been a Professor at the University of Bonn, University of Maryland, Kyushu University, University of Utrecht, and Collège de France. His work bridges number theory, algebraic geometry, topology, and mathematical physics. Born in 1951, he studied at MIT (1966–1968), earned a D.Phil. from Oxford (1971), and completed his habilitation at Bonn (1975). He has held roles in the Sonderforschungsbereich (SFB) Theoretische Mathematik, served as ICTP Distinguished Staff Associate since 2014, and is an Honorary Member of the London Mathematical Society (2019). Research interests include modular forms, zeta functions, quantum invariants, and algebraic geometry. Notable works include studies on the Birch-Swinnerton-Dyer conjecture, polylogarithms, and the theory of Jacobi forms. His contributions span over 200 publications, including foundational texts like Zetafunktionen und quadratische Körper (1981) and co-edited volumes on modular forms. His awards include the Carus Prize (1984), Frank Nelson Cole Prize (1987), and Karl Georg Christian von Staudt Prize (2001). Research trends in his articles focus on modular forms, knot theory, quantum topology, and the interplay between number theory and geometry. Grants and collaborations are extensive, though specifics remain unspecified. He leads research at the MPI and contributes to global mathematical communities through educational initiatives and editorial roles in journals like Communications in Number Theory and Physics .

• Number Theory
• Algebraic Geometry
• Modular Forms
• +۳ مورد دیگر

Hans-Joachim Hein is a Professor at the University of Münster 's Faculty of Mathematics and Computer Science, affiliated with the Mathematisches Institut. He serves as an Investigator in Mathematics Münster (MM) and participates in the Collaborative Research Centre (CRC) 1442 Geometry: Deformations and Rigidity , leading projects B05 and B06. Research Interests: Differential geometry of complex and Einstein manifolds Geometric analysis of PDEs and singular spaces Collapsing metrics in Calabi-Yau geometry Asymptotic structures in Ricci-flat and Kähler metrics Recent Publications focus on Calabi-Yau metrics, Ricci flow, and singular perturbations, including studies on collapsing manifolds, gravitational instantons, and renormalized volume computations. Projects: Topics in Mathematics Münster T6/T7; CRC 1442 B05 ( Scalar curvature between Kähler and spin ) and B06 ( Einstein 4-manifolds with two commuting Killing vectors ).

• Differential Geometry
• Kähler Geometry
• Einstein Metrics
• +۴ مورد دیگر