جست‌وجوی استاد و پژوهشگر

• Algebraic Geometry
• Tropical Geometry
• Combinatorics
• +۳ مورد دیگر

Kristin Shaw is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. She leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, funded by the BFS. Her office is located in room 1114 of Niels Henrik Abels hus, with contact information including email krisshaw@math.uio.no and phone +47 22855940. Shaw's research focuses on the connections between combinatorics and algebraic geometry over the real and complex numbers, with particular emphasis on tropical geometry. Her work bridges abstract mathematical theory with concrete geometric structures, exploring how combinatorial methods can illuminate deep properties of algebraic varieties. She has made significant contributions to understanding matroids, real algebraic curves, and the topology of hypersurfaces through tropical techniques. Her research demonstrates how combinatorial structures can reveal fundamental insights about algebraic varieties and their topological properties. Analysis of Professor Shaw's recent publications reveals a consistent focus on tropical geometry and its applications to classical algebraic geometry problems. Her work frequently examines the interplay between real and complex geometries, with particular attention to combinatorial structures underlying algebraic varieties. Key themes include matroid theory, enumerative geometry, and the topology of algebraic varieties, demonstrating how tropical methods can provide new insights into longstanding problems in algebraic geometry. Her research shows remarkable depth across multiple subfields while maintaining a coherent theoretical framework that connects combinatorial and geometric approaches. Professor Shaw leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, which is funded by the BFS. Prior to her position at the University of Oslo, she held postdoctoral positions at the Max Planck Institute Leipzig, the Technical University of Berlin, the University of Toronto, and participated in the Fields' Institute semester in Combinatorial Algebraic Geometry. Her collaborative work spans multiple international institutions, reflecting her active engagement in the global mathematical research community.

• Algebraic Geometry
• Tropical Geometry
• Combinatorics
• +۳ مورد دیگر

Kris Shaw is a Professor in the Department of Mathematics at the University of Oslo, specializing in Algebra, Geometry and Topology. She leads the research group on Algebraic and Topological Cycles in Tropical and Complex Geometries, funded by the BFS. Shaw's research focuses on the connections between combinatorics and algebraic geometry over the real and complex numbers, with particular emphasis on tropical geometry, matroid theory, and real algebraic geometry. Her work bridges abstract mathematical theory with concrete geometric structures, exploring how combinatorial frameworks can illuminate complex geometric phenomena. She has made significant contributions to understanding the topology of real hypersurfaces, bitangents to plane quartics, and the birational geometry of matroids through tropical methods. Her publication record from 2013-2023 demonstrates consistent advancement in tropical geometry applications. Recent work shows increasing focus on real algebraic geometry problems through tropical lenses, with notable contributions to enumerative geometry, matroid structures, and topological properties of algebraic varieties. Shaw frequently collaborates with leading researchers including Hannah Markwig, Arthur Renaudineau, Johannes Rau, and Annette Werner. Prior to her position at the University of Oslo, Shaw held postdoctoral appointments at the Max Planck Institute Leipzig, Technical University of Berlin, and University of Toronto, as well as time at the Fields' Institute during a semester focused on Combinatorial Algebraic Geometry.

John Christian Ottemمشاهده پروفایل

استاد

• Higher dimensional algebraic geometry
• Positivity of line bundles and subschemes
• Calabi-Yau manifolds
• +۴ مورد دیگر

John Christian Ottem is a Professor in the Algebra, Geometry and Topology group at the Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Oslo. He maintains an active research program in algebraic geometry with significant contributions to multiple subfields. His research focuses on higher dimensional algebraic geometry, particularly on positivity of line bundles and subschemes, Calabi-Yau manifolds, the moduli space of curves, algebraic cycles, birational geometry, and Hodge theory. His work bridges theoretical foundations with concrete geometric problems, often addressing deep questions about the structure of algebraic varieties and their invariants. An analysis of his recent publications reveals a strong emphasis on birational geometry, Hodge theory, and the study of algebraic cycles. His research frequently investigates counterexamples to longstanding conjectures while developing new techniques in motivic integration, tropical geometry, and specialization methods. The consistent quality of his publications in top journals demonstrates his significant impact in the field. Young Research Talents grant from Research Council of Norway (2016-2021) Professor Ottem has supervised multiple PhD students including Bernt Ivar Utstøl Nødland, Bjørn Skauli, Martin Helsø (co-advised), Elisa Cazzador (co-advised), and Simen Westbye Moe. His research has been supported by prestigious grants including the Young Research Talents grant from the Research Council of Norway (2016-2021), which funded his project 'Equations in Motivic Homotopy.' As a member of the Algebra and Algebraic Geometry research group at the University of Oslo, Professor Ottem contributes to the vibrant mathematical community through the Algebra/Algebraic Geometry seminar at UiO. His work connects with broader mathematical research networks through collaborations with leading mathematicians worldwide.

Ragni Pieneمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Intersection Theory
• +۶ مورد دیگر

Ragni Piene is a distinguished Professor in the Department of Mathematics at the University of Oslo, where she has held a faculty position since 1987 (previously serving as Associate Professor from 1979-1986). Her academic career spans over four decades with significant contributions to algebraic geometry and related fields. She maintains an active research profile with numerous publications through 2025 and holds prestigious appointments including membership on the Heidelberg Laureate Forum Foundation Council until 2025. Her educational background includes a Ph.D. from the Massachusetts Institute of Technology (1976), Cand.real. from the University of Oslo (1972), D.E.A. from Université de Paris (Orsay) (1970), and Cand. mag. from the University of Oslo (1969). Professor Piene's research focuses on Algebraic Geometry, with particular expertise in enumerative geometry and intersection theory, singularities, moduli spaces, and toric varieties. Her work extends to algebraic methods in computer-aided geometric design and the study of real algebraic curves and surfaces. Her research bridges theoretical mathematics with practical applications in geometric modeling. Analysis of her recent publications (2012-2025) reveals a consistent focus on the geometric properties of algebraic varieties, with increasing attention to computational aspects and applications. Her work demonstrates strong continuity in exploring polar varieties, toric geometry, and singularities, while progressively incorporating more computational methods and connections to geometric design. The research shows sophisticated development from foundational theoretical work to increasingly applied contexts, particularly in computer-aided geometry. Her significant professional honors include: Member of the Heidelberg Laureate Forum Foundation Council (2015-2025) Chair of the Scientific Council of the Fondation Mathématique Jacques Hadamard (2020-2024) Professor Piene has maintained an extensive international research network through numerous research visits to prestigious institutions including Institut Mittag-Leffler, MSRI Berkeley, École Normale Supérieure, Harvard University, and several others. She actively collaborates with leading mathematicians worldwide, as evidenced by her co-authored publications. Her research group affiliation with the Algebra and Algebraic Geometry group at the University of Oslo provides institutional support for her ongoing work in these specialized mathematical domains.

Jørgen Vold Rennemoمشاهده پروفایل

استاد

• Algebraic Geometry
• Enumerative Geometry
• Derived Categories of Coherent Sheaves
• +۵ مورد دیگر

Jørgen Vold Rennemo is a Professor in the Department of Mathematics at the University of Oslo, specializing in algebraic geometry with a focus on enumerative geometry and derived categories of coherent sheaves. His research explores Fano varieties, Hilbert schemes, and homological projective duality. He holds an office at Moltke Moes vei 35 (Room 1112) and can be reached via email at jorgeren@math.uio.no . His research interests center on advanced algebraic structures, particularly the interplay between derived categories, birational geometry, and enumerative problems. Notably, he has contributed to resolving conjectures in Donaldson-Thomas theory and Fano variety classifications, as well as categorical Torelli theorems. Recent work includes studies on cohomology torsion in Fano varieties and reconstruction methods for sheaves on Hilbert schemes. His publications span leading journals like Inventiones Mathematicae , Compositio Mathematica , and Journal für die Reine und Angewandte Mathematik , reflecting a strong emphasis on foundational geometric problems and their categorical interpretations. Though no specific awards are listed, his work demonstrates significant contributions to modern algebraic geometry. Rennemo’s advising and grant activities are not explicitly detailed in the provided texts. His research group is affiliated with the Algebra and Algebraic Geometry group at the University of Oslo.

• Homotopy Theory
• Algebraic Geometry
• Arithmetic Geometry
• +۷ مورد دیگر

Gereon Quick is a Professor in the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) , where he leads the Geometry and Topology Group . His research focuses on Homotopy Theory and its applications in Algebraic Geometry and Arithmetic Geometry . Education: MSc in Mathematics (University of Cambridge), DEA in Mathematics (Université Pierre et Marie Curie), PhD and Habilitation (Universität Münster) Positions: Professor at NTNU since 2019, Associate Professor at NTNU (2015-2019), Postdoctoral Fellowships at Harvard, IAS Princeton, and Universität Münster Research Interests center on Motivic Homotopy Theory , Chromatic Homotopy , Profinite Topology , and Deligne Cohomology . His work bridges abstract homotopy theory with concrete problems in algebraic geometry, such as detecting non-algebraic classes and formality in real projective groups. Recent Publications include studies on Thom Morphism , Motivic Brouwer Degree , and Real Projective Formality , reflecting his focus on geometric and topological invariants. Scientific Awards include DFG Research Fellowships Marie Curie Fellowships French Government Scholarships Students he has supervised include PhD candidates working on Motivic Homotopy , Lie Groups , and Higher Category Theory . He also mentors postdoctoral researchers and serves as an external examiner for multiple Norwegian universities.

Kristian Ranestadمشاهده پروفایل

استاد

• Algebraic Geometry
• Projective Geometry
• Hyperkähler Varieties
• +۴ مورد دیگر

Kristian Ranestad is a Professor at the Department of Mathematics, University of Oslo. He specializes in Algebraic Geometry with a focus on projective algebraic geometry, particularly surfaces in four-dimensional space, varieties of small codimension, hyperkähler varieties, and abelian varieties. His work also explores applications in elliptic curve cryptography, phylogeny, and semidefinite programming. His research interests span a wide range of topics including the geometry of algebraic varieties, moduli spaces, and computational algebraic geometry. Notably, he has contributed to studies on canonical forms, spectrahedra, and the convex hulls of algebraic surfaces. He collaborates extensively with researchers like Bernd Sturmfels, Frank-Olaf Schreyer, and others, focusing on problems at the intersection of algebra, geometry, and optimization. Ranestad has advised numerous PhD students, including Martin Helsø, Elise Øby, and Johannes Kleppe, whose theses cover topics like determinantal quartic hypersurfaces and apolar varieties. His recent work includes studies on adjoints of algebraic varieties, quartic spectrahedra, and the geometry of cubic surfaces. His publications highlight advancements in understanding varieties of sums of powers, the algebraic degree of optimization problems, and the geometry of moduli spaces. Despite no explicitly listed awards, his contributions have been recognized through invited lectures and editorial roles in leading journals.

Helge Paul Ruddatمشاهده پروفایل

استاد

• Algebraic Geometry
• Mirror Symmetry
• Tropical Geometry
• +۷ مورد دیگر

Helge Paul Ruddat is a Professor of Mathematics at the University of Stavanger, affiliated with the Faculty of Science and Technology and the Department of Mathematics and Physics. His research focuses on algebraic geometry, mirror symmetry, tropical geometry, and their interplay with mathematical physics. Key areas include Landau-Ginzburg models, affine manifolds, logarithmic enumerative geometry, and the geometry of moduli spaces. Ruddat's work bridges pure mathematics and theoretical physics, particularly through applications in symplectic geometry and Hodge theory. His recent publications address topics such as compactifications of torus fibrations, tropical quantum field theories, and the construction of Lagrangian submanifolds in mirror quintic threefolds. He maintains active collaborations with researchers like Bernd Siebert and Mark Gross, contributing to foundational advances in mirror symmetry for varieties of general type. His research outputs include over 15 peer-reviewed articles in top journals like Advances in Mathematics and Geometry & Topology , as well as book chapters on logarithmic enumerative geometry and motivic zeta functions. Ruddat’s contributions have advanced understanding in areas such as period integrals, degeneration formulas for log maps, and the analytic properties of toric degenerations. No scientific awards or grants are explicitly mentioned in the provided texts, though his prolific publication record suggests significant recognition in the field. His advising history remains unspecified, but his academic profile reflects sustained engagement with graduate research and international collaborations.

Trygve Johnsenمشاهده پروفایل

استاد

• Algebraic Geometry
• Error-Correcting Codes
• Matroid Theory
• +۳ مورد دیگر

Trygve Johnsen is a Professor of Pure Mathematics at the Department of Mathematics and Statistics, UiT The Arctic University of Norway. His research bridges algebraic geometry with error-correcting codes , focusing on matroid theory, coding theory, and combinatorial structures. He is affiliated with the research group Applied and Computational Algebra and the Albatros project on mathematical aspects of information transmission. Education: PhD in Mathematics (University of Oslo, 1984) Research Interests: Algebraic Geometry, Coding Theory, Matroid Theory, Combinatorics, Algebraic Methods in Coding His recent work explores symmetric determinantal varieties, q-matroid analogues, and generalized weight spectra of codes. Scientific contributions include foundational studies on Grassmannians, Stanley-Reisner rings, and Betti numbers in coding theory. Doctoral Students: Supervised 5 PhD candidates including Andreas L. Knutsen and Jan Roksvold.

Martin Gunnar Gulbrandsenمشاهده پروفایل

استاد

• Algebraic Geometry
• Moduli Spaces
• Hilbert Schemes
• +۳ مورد دیگر

Martin Gunnar Gulbrandsen is a Professor of Mathematics at the University of Stavanger, affiliated with the Faculty of Science and Technology and the Department of Mathematics and Physics. His research focuses on algebraic geometry, particularly moduli spaces, Hilbert schemes, abelian varieties, and Donaldson-Thomas invariants. He has contributed significantly to topics such as Bridgeland stability conditions, degenerations of Hilbert schemes, and Schottky problems. His work often intersects geometric invariant theory and algebraic stacks. Key research areas include: Moduli spaces of sheaves and complexes Geometry of abelian threefolds Stability conditions in derived categories Applications of GIT to moduli problems Enumerative geometry and Donaldson-Thomas theory Publications span foundational papers in Journal of Algebraic Geometry , Mathematische Zeitschrift , and Communications in Algebra . Collaborations include notable mathematicians like Lars Halle, Klaus Hulek, and Martí Lahoz. Gulbrandsen has also contributed to educational materials, authoring textbooks for engineering mathematics. His talks and presentations cover advanced topics such as degenerations of Hilbert schemes, Donaldson-Thomas theory for abelian threefolds, and applications of algebraic geometry in mathematical biology. Active in academic service, he maintains a research group focused on algebraic geometry with connections to theoretical physics.