جست‌وجوی استاد و پژوهشگر

• Geometry
• Topology
• Quantum Field Theory
• +۵ مورد دیگر

Ryan Grady is an Associate Professor in the Department of Mathematical Sciences at Montana State University, affiliated with the College of Letters & Science. His research bridges geometry, topology, and quantum field theory (QFT), with a focus on derived geometry and higher Lie theory. Research Interests: His work applies QFT techniques to geometric and topological problems, explores derived algebraic structures (e.g., L-infinity spaces, cosheaves), and investigates connections between renormalization group flows and sigma models. Recent publications address K-theoretic invariants, operadic structures in topology, and algebraic models for topological field theories. Scientific Awards: Stannard Award for Graduate Teaching (2021) NExT Fellow (2019) ICCM Best Paper Award (2018) Research Enhancement Grant (2018) Member, MSU Center for Faculty Excellence (2017) Education: Ph.D. and M.S. in Mathematics from the University of Notre Dame (2012, 2009), and B.S. in Mathematics from the Colorado School of Mines (2007). Students: Co-chaired Eric Berry (PhD 2021) and Adam Howard (PhD 2021), advised Garrett Oren (MS 2021), and mentored Bryce Morrow (BS 2023).

Izak Moerdijkمشاهده پروفایل

استاد

• Category Theory
• Algebraic Topology
• Mathematical Logic
• +۳ مورد دیگر

Izak Moerdijk is a Distinguished University Professor at Utrecht University's Mathematical Institute, part of the Faculty of Science. He holds a part-time professorship in Pure Mathematics at the University of Sheffield. His academic career includes roles as Chair of Algebra and Topology at Radboud University Nijmegen (2011–2015) and Professor of Topology at Utrecht University (2002–2011). Moerdijk earned his PhD in Mathematics from the University of Amsterdam in 1985 (cum laude), followed by postdoctoral positions at the University of Chicago and Cambridge. His research focuses on category theory, algebraic topology, topos theory, and applications to mathematical logic. Notable contributions include foundational work on dendroidal sets, operads, and Lie groupoids. He co-authored influential texts like Sheaves in Geometry and Logic (with S. Mac Lane) and Introduction to Foliations and Lie Groupoids (with J. Mrcun). Awarded the prestigious Spinoza Prize (2011) and Descartes-Huygens Prize (2011), Moerdijk is a member of the Dutch Royal Academy of Sciences (KNAW) and Academia Europaea. His recent work emphasizes developing dendroidal set theory and advancing homotopy-theoretic frameworks.

• Algebraic Geometry
• Topology
• Homotopy Theory
• +۶ مورد دیگر

Frank Neumann is a researcher affiliated with the University of Pavia , specifically within the Algebra and Geometry research group. His work focuses on advanced topics in algebraic geometry, topology, and homotopy theory, particularly moduli stacks, principal bundles, and spectral sequences. Research Areas : Algebraic Geometry, Homotopy Theory, Moduli Stacks, Principal Bundles, Topology, Arithmetic Geometry. The titles of his recent publications highlight his contributions to cohomology theories, geometric structures, and their interactions with number theory and differential geometry. His work often bridges abstract algebraic geometry with topological and homotopical methods. Despite no explicit mention of awards or student supervision in the provided texts, his research outputs indicate sustained engagement with foundational mathematical problems. He is contactable via email at frank.neumann@unipv.it .

Jakob Scholbachمشاهده پروفایل

دانشیار

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

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

Jesus Martinez-Garciaمشاهده پروفایل

مدرس ارشد

• Algebraic Geometry
• Complex Geometry
• Birational Geometry
• +۳ مورد دیگر

Dr Jesus Martinez-Garcia is a Senior Lecturer in the Department of Mathematical Sciences at the University of Essex, within the School of Mathematics, Statistics and Actuarial Science (SMSAS). His research focuses on algebraic and complex geometry, particularly birational geometry of Fano varieties, K-stability, moduli spaces, and computational algebraic geometry. He has held postdoctoral positions at the University of Bath, Max Planck Institute for Mathematics in Bonn, and Johns Hopkins University, and briefly served as an Adjunct Professor at Korea University. Dr Martinez-Garcia holds a PhD in Mathematics from the University of Edinburgh (2013), an MASt in Mathematics from the University of Cambridge (2009), and dual degrees from Universidad Autónoma de Madrid: MEng in Computer Engineering (2008) and MSci in Mathematics (2008). His research interests include Kähler-Einstein metrics, classification of Fano varieties, geometric invariant theory (GIT), and computational methods in algebraic geometry. He has contributed to foundational work on K-moduli spaces, asymptotic log Fano varieties, and moduli compactifications. Dr Martinez-Garcia’s publications span theoretical advancements and computational tools, including the Variations of GIT quotients package. His work bridges algebraic geometry with differential geometry, emphasizing connections between stability conditions and geometric structures. Grants and funding details are listed on his profile, though specific grants are not detailed here. He actively advises students in his field and contributes to teaching at Essex, with academic support hours coordinated via Moodle. He is affiliated with STEM 5.9 on the Colchester Campus and can be reached via email at jesus.martinez-garcia@essex.ac.uk .

Dan Abramovichمشاهده پروفایل

استاد

• Algebraic Geometry
• Resolution of Singularities
• Logarithmic Geometry
• +۳ مورد دیگر

**Dan Abramovich** is a Professor in the Department of Mathematics at Brown University, affiliated with the College of Arts and Sciences. His research focuses on algebraic geometry, particularly in resolution of singularities, logarithmic geometry, moduli spaces, and birational geometry. He has authored numerous papers and contributed to foundational work in these areas, supported by NSF and BSF grants. **Teaching**: He teaches courses like Math 1540 (Galois theory and representations of finite groups) and has extensive past teaching records dating back to 2015. His seminars include Algebraic Geometry and Topology. **Research**: Abramovich's work bridges algebraic structures and geometric applications, with notable contributions to logarithmic geometry and moduli theory. His recent articles address weighted blow-ups, dynamical systems in resolution, and functorial monomialization. **Grants & Collaboration**: He collaborates internationally, organizing conferences like AGNES and BATMoBYle. His work is disseminated via arXiv, with over 50 publications since the 1990s.

Alexander S. Merkurjevمشاهده پروفایل

استاد

• Algebraic Groups
• Algebraic K-Theory
• Galois Cohomology
• +۴ مورد دیگر

Alexander S. Merkurjev is a Professor of Mathematics at the Department of Mathematics, University of California, Los Angeles (UCLA). He specializes in algebraic K-theory, Galois cohomology, quadratic forms, and cohomological invariants of algebraic groups. His work bridges algebraic geometry, number theory, and representation theory. Research interests include: algebraic groups, motivic cohomology, essential dimension, degenerate Massey products, and rationality problems of classifying spaces. He investigates questions related to Galois representations, invariants of algebraic structures, and geometric aspects of algebraic K-theory. Recent work focuses on Massey vanishing conjectures, cohomological invariants of spinor groups, and p-adic Galois representation theory. His 2025 papers address advanced topics in non-Abelian cohomology and lifting problems, while 2023-2024 publications explore fourfold Massey products and connective K-theory operations. Earlier contributions include foundational work on essential dimension and cohomological invariants of algebraic tori. His research has been published in leading mathematics journals and includes collaborations with top specialists in algebraic geometry and number theory. Notable results include the proof of Suslin's conjecture on reduced Whitehead groups and the establishment of cohomological frameworks for studying algebraic groups.

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

Johannes Anschütz is a Professor of Mathematics at the Orsay Institute of Mathematics, part of Université Paris-Saclay. His research focuses on arithmetic geometry, algebraic geometry, and p-adic Hodge theory, with a particular emphasis on the Fargues-Fontaine curve, moduli spaces, and perfectoid spaces. He collaborates extensively on topics like solid quasi-coherent sheaves, v-vector bundles, and prismatic Dieudonné theory. His work bridges algebraic geometry and number theory, addressing foundational questions in p-adic geometry and non-abelian Hodge theory. Recent contributions include advancements in the p-adic Simpson correspondence, Hodge-Tate stacks, and the development of Fourier transforms for Banach-Colmez spaces. Anschütz’s publications frequently involve collaborations with leading researchers such as Arthur-César Le Bras, Ben Heuer, and Lucas Mann. His research also explores descent theory in p-adic contexts, local models, and geometric Langlands programs in mixed characteristic settings. He currently holds an office at the Orsay Mathematics Laboratory (Room 2I20) and maintains active engagement in teaching and research seminars within the institute’s arithmetic and algebraic geometry team.

Lutz Hilleمشاهده پروفایل

استاد مدعو

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

Lutz Hille is an Adjunct Professor in the Mathematical Institute at the University of Münster, Germany. His research focuses on the intersections of Algebraic Geometry , Representation Theory , and Commutative Algebra , with significant contributions to quiver theory, moduli spaces, and tilting theory. Key research areas include cluster algebras, toric geometry, and geometric invariant theory Prominent work involves exceptional sequences, prehomogeneous spaces, and Dynkin curves Organized conferences like 'Interactions between commutative algebra, representation theory, and algebraic geometry' (2019) in memory of Ragnar-Olaf Buchweitz His recent publications explore tilting modules, spherical modules for Auslander algebras, and moduli spaces of curves. While no specific awards are mentioned, his extensive teaching history at the University of Münster covers advanced topics in reflection groups, platonic solids, and algebraic geometry. He maintains a central role in organizing academic events and spatial planning for the mathematics faculty.

• Stable Homotopy Theory
• Chromatic Homotopy Theory
• Tensor Triangulated Geometry
• +۶ مورد دیگر

Drew Kenneth Heard is an Associate Professor at the Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), supported by the Trond Mohn Foundation. His research bridges stable homotopy theory, chromatic homotopy theory, and tensor triangulated geometry, with significant contributions to classification theorems and duality principles. Education: PhD (2014) from the University of Melbourne under Craig Westerland. Postdoctoral positions at Universität Regensburg (SFB Higher Invariants), Haifa University, Universität Hamburg (SPP 1786), and Max Planck Institute for Mathematics in Bonn. Heard's work focuses on the interplay between tensor triangulated categories and equivariant homotopy theory. His recent publications explore stratification theorems, vanishing lines in motivic homotopy, and the structure of Picard groups in chromatic settings. Collaborations with Tobias Barthel, Beren Sanders, and others have advanced understanding of localizing subcategories and descent techniques. Research Trends: Analysis of 15 recent articles reveals a core focus on tensor triangulated geometry (Balmer spectra, support theory), chromatic homotopy (K(n)-local spectra, Morava E-theory), and algebraic models for topological phenomena (comodule categories, local duality). Methodologically, he integrates geometric intuition with category-theoretic frameworks. Affiliations: Current: NTNU, Trondheim, Norway. Former: Universität Regensburg, Haifa University, Universität Hamburg, Max Planck Institute. Teaching: TMA4105 - Mathematics 2: Multivariable calculus and vector analysis. MA3408 - Algebraic Topology 2. Projects: Leads the "tt-geometry in Trondheim" project funded by the Trond Mohn Foundation, advancing tensor triangulated geometry classifications.

• Algebraic Geometry
• Category Theory
• Higgs Bundles
• +۳ مورد دیگر

Sebastian Schlegel Mejia is a Lecturer at the School of Basic Sciences (SB) of École Polytechnique Fédérale de Lausanne (EPFL), affiliated with the Department of Mathematics. He teaches courses on algebraic geometry, including "Algebraic Geometry III - Selected Topics" (MATH-535), and contributes to research via his role at the Chair of Arithmetic Geometry (ARG). Research Interests His research focuses on algebraic geometry, category theory, and mathematical physics. He explores connections between BPS algebras, generalized Kac-Moody algebras, and 2-Calabi-Yau categories, alongside applications in nonabelian Hodge theory, moduli spaces of Higgs bundles, and stacks. His work bridges theoretical mathematics with quantum field theory. Publications Trends Recent articles emphasize BPS algebras, cohomology in Calabi-Yau categories, and their implications for nonabelian Hodge theory and moduli spaces. Key themes include the interplay between algebraic structures, geometric frameworks, and mathematical physics. Contact Email: sebastian.schlegelmejia@epfl.ch | Office: MA B3 494

Takumi Murayamaمشاهده پروفایل

استادیار

• Algebraic Geometry
• Commutative Algebra
• Algebra
• +۳ مورد دیگر

Takumi Murayama is an Assistant Professor of Mathematics at Purdue University, affiliated with the Department of Mathematics within the College of Science. His research focuses on Algebraic Geometry and Commutative Algebra, with particular emphasis on topics such as singularities, birational geometry, and positivity properties. He has contributed to foundational work on Fujita-type theorems, vanishing theorems, and the Minimal Model Program in various geometric contexts. His recent studies explore properties of rings and schemes in both characteristic zero and positive characteristic settings. His research interests span theoretical aspects of algebraic geometry, including moduli spaces, symbolic powers, and Seshadri constants. He has also investigated applications of tight closure theory and F-singularities in commutative algebra. Notable contributions include advancements in understanding the projectivity of moduli spaces and the behavior of nef classes on algebraic varieties. Recent publications highlight explorations into cubical descent for analytic spaces, uniform bounds on symbolic powers, and the interplay between algebraic and analytic methods in geometry. These works demonstrate a deep engagement with both classical and modern techniques in algebraic geometry and commutative algebra. While no specific grants or advising activities are listed, his academic profile reflects active participation in the mathematical research community through publications in top-tier journals and collaborations across international institutions. His personal website provides further details on his ongoing research and preprints.

Lena Jiمشاهده پروفایل

استادیار

• Algebraic Geometry
• Fano varieties
• Rationality
• +۵ مورد دیگر

Lena Ji is an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. She holds a PhD from Princeton University (2021) and a B.A. from Columbia University (2016). Her research focuses on Algebraic Geometry, particularly Fano varieties, rationality questions, and characteristic p > 0 settings. She has held postdoctoral positions at the University of Michigan, including an NSF Postdoctoral Fellowship. Education : PhD in Mathematics, Princeton University (2016–2021) B.A. in Mathematics, Columbia University (2012–2016) Exchange Scholar, UC Berkeley (2019) Her research interests include birational geometry, moduli spaces, and arithmetic aspects of algebraic varieties. She has contributed to understanding symmetries of Fano varieties, rationality criteria for threefolds, and the Noether-Lefschetz theorem in positive characteristic. Her work often intersects with number theory and commutative algebra. Awards include the NSF Mathematical Sciences Postdoctoral Fellowship (2022–2024), the Oscar Zariski Scholar (2025–2026), and the NSF Graduate Research Fellowship (2018–2021). She has been an invited speaker at conferences such as the Mathematical Congress of the Americas (2025) and the Oberwolfach Workshop (2024). Ji is actively involved in mentorship and service: she organizes seminars at UIUC, co-organized the Stacks Project Workshop (2023), and has mentored undergraduate research (e.g., REU programs). She teaches courses like Fundamental Mathematics (Math 347) and has contributed to expository works in algebraic geometry.

• Poisson Geometry
• Differential Geometry
• Jacobi Manifolds
• +۶ مورد دیگر

Alfonso Giuseppe Tortorella is a tenure-track Assistant Professor (Ricercatore a tempo determinato di tipo B) at the Dipartimento di Matematica, Università degli Studi di Salerno. His academic journey includes postdoctoral research at institutions such as KU Leuven (2018–2021) and CMUC/CMUP in Portugal. He holds a PhD in Mathematics from the University of Florence (2017), focusing on deformation theory of coisotropic submanifolds in Jacobi manifolds. Research Interests: Poisson geometry in its broad sense, including deformation theory, Jacobi manifolds, VB-groupoids, and multiplicative structures on Lie groupoids. Recent work explores symplectic foliations and L∞ algebras in geometric contexts. Publications: Over 15 peer-reviewed articles, with recent contributions on symplectic foliations, Dirac-Jacobi structures, and homogeneous G-structures. His work often combines geometric analysis with algebraic structures like L∞ algebras. Awards : Abilitazione Scientifica Nazionale (2021–2030), FWO Postdoctoral Fellowship, INdAM PhD Scholarship. Teaching : Courses in Differential Geometry and Advanced Mathematics at University of Salerno and KU Leuven. Advising : Supervised PhD/MSc/BSc students in geometric topics, including contact geometry and Jacobi manifolds. Labs/Teams: Active member of the Geometric properties of real and complex manifolds group at Università di Firenze, and collaborates with international researchers in Poisson and contact geometry.

• Algebraic Geometry
• Representation Theory
• Derived Algebraic Geometry
• +۲ مورد دیگر

Dr. Johannes Krah is a researcher at the Faculty of Mathematics , Bielefeld University , specializing in Algebraic Geometry and Representation Theory . His work focuses on derived categories, exceptional collections, and cohomological structures in geometry. Email: jkrah@math.uni-bielefeld.de Office: UHG V3-238 Research interests include: Integral structures in derived categories Derived-splinters and cohomological principles Applications of exceptional collections Non-commutative crepant resolutions Recent publications analyze derived categories of Calabi-Yau manifolds, Hilbert schemes, and splinter rings, with methodological connections to homological algebra and geometric invariant theory. His work intersects with the strategic research area 'The Mathematical World' at Bielefeld University.