جست‌وجوی استاد و پژوهشگر

• Differential Geometry
• Riemannian Geometry
• Almost-Product Manifolds
• +۹ مورد دیگر

Francisco Carreras Martínez is an Associate Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia, Spain. His research is centered on differential geometry, particularly in the areas of Riemannian and pseudoriemannian almost-product manifolds, curvature tensors, and geometric invariants. His research interests include Differential Geometry , Riemannian Geometry , Almost-Product Manifolds , Curvature Tensor , Index Form of Geodesics , and Kaehler Submanifolds . His work bridges pure mathematics with applications in mathematical biology, notably in computational modeling of cardiac electrophysiology. The most recent publications indicate a sustained focus on geometric structures and their analytical properties, with a notable interdisciplinary contribution in 2011 on a parallel computational model of the heart. This reflects a trend toward applying advanced geometric and analytical methods to complex biological systems. Francisco Carreras Martínez completed his doctoral studies at the Universitat de València with a thesis on linear invariants of Riemannian almost-product manifolds, supervised by Dr. Antonio Martínez Naveira. He has collaborated with researchers such as Vicente Miquel, Fernando Giménez, and Antonio M. Naveira. While specific grant information is not provided, his publication record suggests involvement in collaborative and possibly funded research projects, particularly in interdisciplinary domains. He is affiliated with the research group in Geometry and Topology at the University of Valencia, contributing to both theoretical developments and applied mathematical modeling.

James E. Hansonمشاهده پروفایل

استادیار

• Mathematical Logic
• Model Theory
• Continuous Logic
• +۲ مورد دیگر

James E. Hanson is an Assistant Professor of Mathematics at Iowa State University, specializing in mathematical logic with a particular focus on model theory and its interactions with real analysis. His research bridges pure mathematics and theoretical physics, reflecting his earlier background in high energy theoretical physics. Ph.D. in Mathematics, University of Wisconsin–Madison (December 2020) M.A. in Physics, University of Wisconsin–Madison (December 2016) B.Sc. in Mathematics and Physics, University of Minnesota, Twin Cities (May 2012) Hanson's research interests center on continuous logic, model theory, and their applications. His work explores the connections between logical structures and metric spaces, with significant contributions to stability theory, categoricity in continuous logic, and the study of definable sets in metric structures. He has made important advances in understanding forking independence, Morley sequences, and Keisler measures within the framework of continuous logic. Hanson's publication record shows a clear trajectory from theoretical physics to mathematical logic. His recent work (2023-2025) is almost exclusively focused on continuous logic and model theory, with particular attention to categoricity, strongly minimal sets, and independence relations. His publications demonstrate a sophisticated integration of topological, metric, and logical perspectives, establishing him as a significant contributor to the development of continuous model theory. Hanson is actively involved in the logic community, having presented his research at numerous prestigious venues including the Logic Colloquium, Association for Symbolic Logic meetings, and various university logic seminars. Notably, he hosts a mirror of the former Model Theory wiki, preserving valuable reference material for the community after the original wiki was deleted in 2023. In addition to his research, Hanson has contributed to educational efforts in logic, giving introductory talks on continuous logic and participating in graduate student conferences. His early work in theoretical physics demonstrates the interdisciplinary nature of his mathematical thinking, which continues to inform his approach to model-theoretic problems.

Jun Liمشاهده پروفایل

استادیار

• Symplectic Geometry
• Geometric Topology
• Symplectomorphism Groups
• +۵ مورد دیگر

Jun Li is an Assistant Professor in the Department of Mathematics at the University of Dayton, within the College of Arts and Sciences. He is a full-time faculty member actively engaged in research in symplectic geometry and topology, with a focus on symplectomorphism groups, rational 4-manifolds, and related structures in geometric topology. His research interests span Symplectic Geometry , Geometric Topology , and Mathematical Physics , particularly exploring the stability and structure of symplectomorphism groups on rational and ruled surfaces. His work involves deep analysis of symplectic cones, almost complex structures, and the role of pseudoholomorphic curves in 4-dimensional manifolds. He also investigates symplectic inflation, ball-swapping symmetries, and the classification of symplectic forms via tamed complex structures. The recent publications reveal a consistent trajectory in understanding the topology of symplectomorphism groups and the geometry of symplectic 4-manifolds, with applications to mapping class groups and Hamiltonian dynamics. His earlier work includes contributions to numerical methods in symplectic integration, demonstrating a broad engagement with both pure and applied aspects of symplectic mathematics. Scientific Awards: No scientific awards explicitly mentioned in the provided texts. Advising and Grants: While no current students or grant funding are listed, Jun Li’s active publication record suggests ongoing research mentorship and potential grant-supported projects in geometric topology. As a faculty member in a research-active department, he likely participates in collaborative projects and student supervision, particularly at the graduate level. Labs and Research Teams: No specific lab or research team is mentioned in the provided materials. However, his research aligns with broader efforts in geometric analysis and topology, potentially involving collaborations within the university or through national and international mathematical networks.

Tobias Shinمشاهده پروفایل

پژوهشگر ارشد

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

Tobias Shin is currently an NSF Postdoctoral Fellow and L. E. Dickson Instructor in the mathematics community at the University of Chicago, working under the mentorship of Professor Benson Farb. His academic journey includes completing his doctoral studies at Stony Brook University under the supervision of renowned mathematician Dennis Sullivan. Dr. Shin's research spans multiple advanced areas of pure mathematics, with particular emphasis on algebraic topology, geometric structures, and complex manifolds. His work bridges theoretical concepts with practical applications in homotopy theory and geometric analysis, exploring the intricate relationships between topological structures and algebraic invariants. His publication record demonstrates a consistent focus on cutting-edge mathematical problems, with recent work examining microflexibility in geometric structures, prismatic cohomology, and complex manifold theory. These publications appear in respected journals including Mathematische Nachrichten, Journal of Homotopy and Related Structures, and Complex Manifolds, reflecting his contributions to both theoretical foundations and emerging areas in contemporary mathematics. NSF Postdoctoral Fellowship L. E. Dickson Instructorship As an early-career researcher, Dr. Shin maintains active collaborations with mathematicians worldwide, as evidenced by his co-authored publications with researchers from diverse institutions. His current research trajectory suggests continued exploration of deep connections between algebraic topology, geometric structures, and complex analysis, potentially opening new avenues for understanding mathematical singularities and topological invariants.

• Geometric Quantization
• Complex Geometry
• Mathematical Physics
• +۳ مورد دیگر

Tatyana Barron is a Professor in the Department of Mathematics at the University of Western Ontario since July 2022. She holds a Ph.D. from Pennsylvania State University (1998) and has held academic positions at institutions like the University of Michigan and the University of Arizona. Her research focuses on geometric quantization, complex geometry, and mathematical physics. She has supervised five Ph.D. students and has an extensive publication record spanning topics from Toeplitz operators to entropy analysis in quantum systems. Education: Ph.D. in Mathematics, Pennsylvania State University (1998) Bachelor's Degree, Moscow Institute of Physics and Technology (1994) Research Interests: Tatyana Barron explores geometric quantization techniques applied to complex manifolds, with particular emphasis on Kähler and multisymplectic structures. Her work bridges differential geometry, algebraic geometry, and quantum mechanics, addressing topics like automorphic forms, entropy in quantum systems, and the asymptotic properties of geometric operators. She has contributed to understanding Berezin-Toeplitz operators, entanglement in mixed states, and geometric models for therapeutic approaches involving electromagnetic fields. Her recent publications (2023-2025) highlight advancements in geometric signal theory, entanglement quantification, and semiclassical asymptotics. She has also explored mathematical models for medical applications using electromagnetic principles. Advising: Supervised five Ph.D. students focusing on topics ranging from holomorphic differentials to singular Lagrangian submanifolds. She co-supervised three of these students with colleagues in geometric analysis and differential geometry.

• Differential Geometry
• Mathematical Physics
• Symplectic Geometry
• +۵ مورد دیگر

Prof. Vicente Cortés is a faculty member in the Department of Mathematics at the University of Hamburg, affiliated with the MIN Faculty and the Center for Mathematical Physics. He holds the academic rank of Professor and specializes in differential geometry, mathematical physics, and geometric analysis. His research focuses on topics such as quaternionic Kähler manifolds, Einstein metrics, generalized complex structures, and geometric flows. He is involved in major research initiatives including the Cluster of Excellence Quantum Universe and Collaborative Research Centre (SFB) 1624. His work bridges geometry with theoretical physics, particularly in areas related to supersymmetry, supergravity, and string theory. Notable contributions include studies on homogeneous spaces, conformal transformations, and geometric structures on Lie groups. He actively organizes conferences and workshops, such as the Northern German Differential Geometry Days and events under the SFB 1624. Prof. Cortés teaches advanced courses in differential geometry and mathematical physics, including 'Differential Geometry' and 'Generalized Geometry' at the master's level. His research is supported by grants from the Deutsche Forschungsgemeinschaft (DFG) and other institutions. He collaborates internationally, with co-authors from institutions like the University of Edinburgh, DESY, and KU Leuven.

• Symplectic Geometry
• Symplectic Topology
• Differential Geometry
• +۴ مورد دیگر

Dusa McDuff is the Joan Lyttle Birman ’48 Professor of Mathematics at Barnard College, part of Columbia University, where she teaches undergraduate and graduate courses in mathematics, including Calculus I, Perspectives in Mathematics, and advanced topics in geometry and topology. She previously held faculty positions at the University of York, University of Warwick, MIT, and SUNY Stony Brook, where she was named Distinguished Professor in 1998. B.S., University of Edinburgh Ph.D., University of Cambridge Professor McDuff is a leading figure in symplectic geometry and topology. Her research has fundamentally shaped the field, particularly through her influential books with Dietmar Salamon on J-holomorphic curves and symplectic topology. She has developed foundational theories that underpin modern symplectic invariants and moduli space analysis. Her work bridges pure mathematics with insights from mathematical physics, especially in Hamiltonian systems and geometric quantization. She is also known for her accessible survey articles that introduce symplectic geometry to broader audiences. The most recent articles and lectures reflect sustained contributions to symplectic topology, with emphasis on Kuranishi structures, Lagrangian submanifolds, and the analytical foundations of J-holomorphic curves. Her publications span from technical monographs to educational surveys, demonstrating both depth and breadth in her scholarly output. Themes include moduli spaces, pseudoholomorphic curves, quantum homology, and the interplay between geometry and dynamics. Satter Prize, American Mathematical Society Outstanding Woman Scientist Award, AWIS Member, National Academy of Sciences (1999) Fellow, Royal Society (1994) Member, American Philosophical Society (2013) Fellow, American Mathematical Society (2012) Senior Berwick Prize, LMS (2010) Multiple honorary doctorates Honorary Fellow, Girton College, Cambridge Professor McDuff has advised numerous students and researchers indirectly through her books and mentorship, though specific names are not listed in the source. She has received major research grants supporting her work in symplectic topology, and her service includes leadership roles such as serving on the MSRI Board of Trustees. She is deeply committed to advancing the role of women in mathematics and has been an active voice in promoting gender equity in the mathematical sciences. While no formal lab or research group is mentioned, her collaborative work with Dietmar Salamon and Katrin Wehrheim indicates strong research partnerships. She continues to be an active presence in the mathematical community through lectures, publications, and advocacy.

• Mathematical Logic
• Model Theory
• Valued Fields
• +۳ مورد دیگر

Rafael Farre Cirera is a Researcher at the Department of Mathematics within the Barcelona School of Informatics (FIB) at Universitat Politècnica de Catalunya (UPC). He specializes in mathematical logic, model theory, and algebra, with notable contributions to the study of valued fields and coding theory. His academic career includes a doctoral thesis (1993) on model theory for valued and ordered fields from the University of Barcelona. Research Interests: Farre’s work focuses on foundational aspects of model theory, including stability theory, elimination of imaginaries, and the model theory of algebraic structures like almost real closed fields. He has also contributed to coding theory, particularly error-correcting codes and PGZ decoding algorithms. His educational research involves competency integration in engineering curricula and professional skills development in tertiary education. Recent Contributions: Recent work includes studies on rank axioms, supersimplicity criteria, and Shelah tree-based ranking systems. Collaborations span international conferences (e.g., Barcelona Logic Meetings) and projects on educational innovation, such as integrating competencies across engineering curricula. He has served on scientific committees for events like the Model Theory of Fields symposium. Labs/Teams: Affiliated with research groups including LOGPROG (Logic and Programming), GR-DCS (Distributed Control Systems), and BCN SEER (Barcelona Science and Engineering Education Research Group).

Heiko Dietrichمشاهده پروفایل

استاد

• Computational Group Theory
• Algebra
• Group Theory
• +۳ مورد دیگر

Heiko Dietrich is a Professor in the School of Mathematics at Monash University and serves as the Associate Dean Graduate Education in the Faculty of Science. His roles include overseeing graduate education, research leadership, and editorial board memberships. He holds a doctoral degree from the University of Braunschweig (2009) and has held positions at institutions including the University of Trento and University of Auckland. Research Interests His research focuses on computational group theory , computational algebra , finite groups , and Lie algebras . He applies computational methods to problems in algebra and has contributed to areas such as Hadamard matrices and classification of quantum states. Recent Research Trends Recent work includes studies on maximal subgroups of the Monster group, coclass theory, and algorithmic approaches to group isomorphism. His publications span theoretical advances and applications in quantum information and combinatorics. Awards: Australian Research Council Discovery Early Career Researcher Award (2013) Cheryl E. Praeger Visiting Research Fellowship (2022) 2019 Victorian Tall Poppy Award Advising & Grants He has supervised over 20 students, including HDR candidates and Master’s researchers. Notable projects include investigations into finite p-groups, computational group theory, and combinatorial identities. He led research initiatives funded by ARC and international collaborations, such as the Computing with Lie groups and algebras project (2019–2023). Labs & Affiliations Editorial roles include Associate Editorships at Mathematische Nachrichten , Journal of Computational Algebra , and Beiträge zur Algebra und Geometrie . He contributes to STEM education through CSIRO’s STEM Professionals in Schools program.

• Graph Algorithms
• Convex Optimization
• Fine-Grained Complexity Theory
• +۳ مورد دیگر

Rasmus Kyng is an Assistant Professor at the Department of Computer Science, ETH Zurich, since Fall 2019. He focuses on developing fast algorithms for graph problems, convex optimization, and structured linear equations, with a specialization in fine-grained complexity theory and dynamic graph algorithms. Assistant Professor, Department of Computer Science, ETH Zurich (2019–present) Postdoc, Theory of Computation Group, Harvard (2018–2019) Research Fellow, Simons Institute, UC Berkeley (Fall 2017) His research explores the intersection of graph algorithms, optimization, and complexity, particularly through dynamic graph data structures, sparsification, and applications in machine learning. Recent work includes breakthroughs in almost-linear time algorithms for network flow problems. Key trends in his publications include: Advancements in dynamic graph algorithms and data structures Applications of convex optimization to graph theory Connections between matrix theory and algorithmic efficiency Derandomization techniques for algorithmic speed Expander graph-based oblivious routing Sparsification and low-congestion vertex sparsifiers Scientific recognition includes the FOCS Best Paper Award (2022), ICBS Frontiers of Science Award (2022), and the Machtey Award for Best Student Paper (2017). His group mentors PhD candidates and postdocs, including Ming Ding , Federico Soldà , Simon Meierhans , Aurelio Sulser , and Wuwei Yuan . Research is supported by Swiss National Science Foundation grants (project no. 200021 204787, starting grant no. TMSGI2 218022).

Dietrich Burdeمشاهده پروفایل

دانشیار

• Lie Algebras
• Algebraic Structures
• Representation Theory
• +۳ مورد دیگر

Dietrich Burde is an Associate Professor at the Faculty of Mathematics , Department of Mathematics , active since 1993. His research focuses on Lie algebras , algebraic structures , and representation theory , with significant contributions to post-Lie algebras , nilpotent and semisimple Lie algebras , and Zassenhaus conjectures . His recent work includes classifications of characteristically nilpotent Lie groups , post-Lie algebra structures , and counterexamples to the Zassenhaus conjecture . He explores connections between affine actions , crystallographic structures , and commutative post-Lie algebras . The keywords from his publications highlight his expertise in Mathematics , Lie Theory , Group Theory , and Algebraic Structures . His subfields include Rota-Baxter Operators , Semisimple Decompositions , Reductive Groups , and Nilpotent Extensions .

Ivan Minchev Minchevمشاهده پروفایل

دانشیار

• Differential Geometry
• Quaternionic Structures
• Contact Manifolds
• +۳ مورد دیگر

Ivan Minchev Minchev is an Associate Professor at the Faculty of Mathematics and Informatics, University of Sofia, specializing in differential geometry and quaternionic structures. He serves as Vice-dean for Bachelor's Degree Programs and Postgraduate Qualification in Geometry. His research focuses on geometric analysis, mathematical physics, and special geometries. Research Interests: Dr. Minchev's work centers on quaternionic contact manifolds, twistor spaces, and geometric PDEs. His collaborative studies with S. Ivanov, D. Vassilev, and Jan Slovák explore Einstein structures, Yamabe problems, and subelliptic equations on Heisenberg groups. Publication Trends: His publications (2004-2022) reveal a sustained focus on quaternionic geometry, twistor theory, and geometric inequalities. Key contributions include advancements in Yamabe equations, extremal Sobolev functions, and existence criteria for special geometric structures.

• Minimal Surfaces
• Geometric Analysis
• Conformal Geometry
• +۳ مورد دیگر

Samuel Bronstein is a PostDoctoral Research Fellow at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in Leipzig, Germany. Previously, he completed his PhD at the Département de Mathématiques et Applications (DMA) of École Normale Supérieure (ENS) in Paris under Nicolas Tholozan and remains a member of the GDR Platon research group in Geometry and Groups. Education: PhD in Mathematics, École Normale Supérieure (completed August 2024) His research centers on geometric structures with expertise in Minimal Surfaces, Geometric Analysis, Conformal Geometry, Higgs Bundles, Higher Kleinian Groups, and Negative Curvature. Work integrates representation theory, dynamical systems, and Teichmüller theory to solve problems in geometric analysis. Analysis of his 2023-2025 publications reveals dominant themes: almost-Fuchsian structures in symmetric spaces, asymptotic Plateau problems, and Anosov representations, with cross-disciplinary contributions to mathematical biology via epidemic modeling. He actively shapes the academic landscape through workshop organization (e.g., 2025 Universal Teichmüller Theory Workshop) and participation in major conferences including IHP Program 'Highrags' (2025) and '20 Years of Anosov Representations' (2024).

Adelina MANEAمشاهده پروفایل

مدرس

• Differential Geometry
• Riemannian Geometry
• Mathematical Education
• +۳ مورد دیگر

Adelina MANEA is a Lecturer at the Department of Mathematics and Informatics, Faculty of Mathematics and Computer Science, Transilvania University of Brașov. Her research focuses on differential geometry, particularly metallic Riemannian structures, gauge theory on contact metric manifolds, and geometric structures on tangent bundles. She also investigates mathematics education, including training methods for Olympic students and student profiling in mathematics competitions. Her work spans theoretical and applied aspects of geometry with interdisciplinary connections to mathematical physics and number theory. Research interests prominently feature differential geometry with a focus on Riemannian manifolds, para-Norden structures, and geometric integrability. She explores both pure mathematical topics like cohomology groups and foliation theory, as well as applied areas such as harmonic numbers and integer sequences. Her educational publications address pedagogical strategies for high-achieving students in mathematics competitions. Publications span diverse geometric topics including metallic structures, contact metric manifolds, and jet bundle theory. Over 20 articles since 2001 reflect sustained contributions to geometry and education. No scientific awards are mentioned. Adelina MANEA’s advising and grant activities remain unspecified in available records. She is affiliated with the Department of Mathematics and Informatics at Transilvania University, contributing to both research and teaching responsibilities.

• Differential Geometry
• Geometry and Topology
• Several Complex Variables and Analytic Spaces
• +۷ مورد دیگر

Oscar Macia Juan is an Associate Professor in the Department of Mathematics at the University of Valencia, affiliated with the Faculty of Mathematics. He is a member of the Geometric Analysis Group U.V. (GAGUV), focusing on advanced topics in differential geometry and mathematical physics. His research interests span Differential Geometry , Geometry and Topology , Several Complex Variables and Analytic Spaces , and their applications in Special Geometry , Supersymmetry , and Harmonic Mappings . His work bridges pure mathematics and theoretical physics, particularly in the context of supersymmetric field theories and supergravity. The recent publications highlight a consistent focus on geometric structures arising from theoretical physics, such as the c-map, quaternionic Kähler geometry, and harmonic mappings into quadrics. The research trend shows a deep engagement with moduli spaces, isometric embeddings, and the interplay between hyper-Kähler and quaternionic Kähler geometries, often in relation to supersymmetry. No scientific awards were mentioned in the provided texts. He earned his PhD from the University of Valencia in 2007 with a thesis on deformations and contractions in supersymmetric field theories and supergravity, supervised by Dr. María Antonia Lledó Barrena. There is no information available on students he may have advised or research grants he has led. Oscar Macia Juan is actively involved in research collaborations, with co-authors including Andrew Swann, Yasuyuki Nagatomo, and Sergio Ferrara, contributing to high-impact journals in geometry and mathematical physics.