جست‌وجوی استاد و پژوهشگر

Jianqi Liuمشاهده پروفایل

پژوهشگر ارشد

• Vertex Operator Algebras
• Conformal Field Theory
• Mathematical Physics
• +۳ مورد دیگر

Jianqi Liu is a Hans Rademacher Research Fellow in the Department of Mathematics at the University of Pennsylvania, affiliated with the School of Arts and Sciences. His research focuses on vertex operator algebras (VOAs) and 2D conformal field theory (CFT), with an emphasis on algebraic structures such as fusion rules, Zhu’s algebras, Borel-type subalgebras, and connections to the classical Yang-Baxter equation. He also explores geometric aspects of VOAs and their physical interpretations. He earned his Ph.D. in Mathematics from the University of California, Santa Cruz (2018–2023), under the supervision of Chongying Dong. Prior to his current role, he held teaching roles at both UPenn and UCSC, instructing courses ranging from advanced linear algebra to complex analysis and number theory. His research publications address topics such as twisted conformal blocks, Rota-Baxter operators, and the interplay between algebraic structures and integrable systems. Liu collaborates with researchers like Angela Gibney and Daniel Krashen, focusing on advancing theoretical frameworks in mathematical physics and algebraic geometry.

Markus Hausmannمشاهده پروفایل

استاد

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

Markus Hausmann is a Professor of Topology at the University of Bonn since 2023. His research focuses on equivariant homotopy theory , with groundbreaking work on bordism theory and symmetry of spaces, including a 2022 publication in the Annals of Mathematics . He received the prestigious Minkowski Medal 2025 from the German Mathematical Society (DMV) for his outstanding contributions to mathematics. Current affiliation: University of Bonn (2023–present) Former roles: University Lecturer at Stockholm University (2021–2023), Postdoc at University of Copenhagen and Bonn Education: Mathematics studies at University of Bonn with a semester abroad at MIT His ERC Starting Grant 'BorSym' explores bordism of symmetries using algebraic methods, funded for five years. His work intersects topology , algebraic structures , and equivariant cohomology , with recent publications addressing symmetric spectra, global group laws, and subgroup lattices. The Minkowski Medal recognizes his international acclaim as a young mathematician. Scientific Awards : Minkowski Medal 2025 (DMV) Markus Hausmann's research bridges equivariant homotopy theory with applications to derived orbifolds and global symmetries , advancing foundational understanding in these areas.

Natalia Castellana Vilaمشاهده پروفایل

دانشیار

• Topology
• Homotopy Theory
• Lie Groups
• +۳ مورد دیگر

Natalia Castellana Vila is an Associate Professor at the Universitat Autònoma de Barcelona (UAB) since 2010. Her research focuses on homotopy theory and topology, particularly in analyzing p-completed classifying spaces of compact Lie groups and fusion systems. She has held postdoctoral positions at Aberdeen University and visiting roles at Purdue University, and participated in prestigious research programs at institutions like the Mittag-Leffler Institute, Max-Planck Institut fur Mathematik, and the Fields Institute. Research Focus: Homotopy properties of p-completed classifying spaces, fusion systems, cohomological properties via stable homotopy theory, and tensor-triangular geometry. Projects: Principal Investigator for Spanish Ministry of Science projects MTM2010-20692, MTM2013-42293-P, and MTM2016-80439-P on homotopy theory of classifying spaces and algebraic structures. Collaborations: Co-authoring papers with Tobias Barthel, Drew Heard, Gabriel Valenzuela, Carles Broto, Jesper Grodal, Ran Levi, and Jérôme Scherer. Institutional Affiliations: Geometry and Topology Group at UAB; long-term engagements at international research centers in Sweden, Germany, Canada, India, and Switzerland.

• Applied Geometry
• Discrete Differential Geometry
• Numerical Analysis
• +۳ مورد دیگر

Max Wardetzky is a Professor at the Institute for Numerical and Applied Mathematics within the Faculty of Mathematics and Computer Science at the University of Göttingen, Germany. His office is located at Lotzestraße 16-18, 37083 Göttingen, and he can be reached via email at wardetzky@math.uni-goettingen.de or by phone at +49 551 39 26778. Professor Wardetzky leads the Discrete Differential Geometry Lab at the University of Göttingen, where he conducts research at the intersection of mathematics, computer science, and geometry processing. His work bridges theoretical foundations with practical applications in computer graphics and scientific computing. His primary research interests include: Applied Geometry Discrete Differential Geometry Numerical Analysis Geometry Processing Physical Simulation Computer Graphics Professor Wardetzky's extensive publication record demonstrates significant contributions to the field of discrete differential geometry and its applications. His work shows a consistent focus on developing mathematically rigorous yet computationally efficient methods for geometric problems. Key trends in his research include the development of discrete analogues of smooth geometric objects, the study of convergence properties between discrete and continuous models, and the application of these methods to problems in computer graphics and physical simulation. Professor Wardetzky has made substantial contributions to the theoretical foundations of discrete differential geometry while maintaining strong connections to practical applications. His work on discrete Laplacians, curvature approximations, and geometric flows has influenced both theoretical mathematics and practical geometry processing algorithms.

Beren Sandersمشاهده پروفایل

دانشیار

• Tensor Triangular Geometry
• Stable Homotopy Theory
• Modular Representation Theory
• +۲ مورد دیگر

Beren Sanders is an Associate Professor in the Mathematics Department at UC Santa Cruz. His research explores triangulated categories with applications in tensor triangular geometry, stable homotopy theory, and representation theory. Sanders completed his PhD at UCLA under Paul Balmer and held postdoctoral positions at EPFL and the University of Copenhagen before joining UCSC. His recent publications investigate homological stratification, tensor triangular support theories, and equivariant homotopy structures. Teaching includes advanced algebra (MATH 200, 202), linear algebra (MATH 117), and specialized topics in homological algebra (MATH 239, 281).

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

Daniel K. Nakano is a Distinguished Research Professor in the Department of Mathematics at the University of Georgia. He holds a Ph.D. in Mathematics from Yale University (1990) and a B.A. from the University of California, Berkeley (1986). His research focuses on representation theory, bridging algebra, geometry, and homological algebra, with applications to combinatorics, algebraic geometry, topology, and physics. His work investigates the interplay between tensor triangulated categories and geometric objects, uncovering hidden geometry in algebraic structures. Recent publications explore quantum groups, Lie superalgebras, Hecke algebras, and tilting module conjectures, often in collaboration with leading mathematicians like Christopher P. Bendel and Cornelius Pillen. Scientific Awards : National Science Foundation Postdoctoral Fellowship (1992-1995) Creative Research Medal, University of Georgia (2007) McCay Award, UGA Department of Mathematics (2008) Distinguished Research Professorship (2010) Fellow of the American Mathematical Society (2013, Inaugural Class) Lamar Dodd Creative Research Award (2016) Nakano has served on college and university committees and organized academic events, including the Southeastern Lie Theory Workshop Series. He advises Ph.D. students and mentors postdoctoral fellows, though specific advisees are not named in the provided data.

• Homotopy Theory
• Operads
• Tensor-triangular Geometry
• +۳ مورد دیگر

Scott Balchin is a Lecturer at the School of Mathematics and Physics at Queen's University Belfast. His research sits at the intersection of homotopy theory, combinatorics, and category theory, with a focus on structures like N∞ operads, tensor-triangular geometry, and lattice theory in algebraic contexts. Research Interests Homotopy Theory Operads and Higher Structures Combinatorics in Algebraic Topology Tensor-triangular Geometry Model Categories and Lattice Theory Research Activity Recent work explores the combinatorial foundations of N∞ operads for finite groups, conjugacy-class-based bijections in homotopy theory, and rigidity phenomena in chromatic homotopy categories. His publications span journals like the Journal of Pure and Applied Algebra and European Journal of Combinatorics , often involving collaborations with researchers such as Emily MacBrough and Kyle Ormsby. Contact Email: s.balchin@qub.ac.uk

• 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.

Martin Gallauerمشاهده پروفایل

استادیار

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

Martin Gallauer is an Assistant Professor at the Mathematics Institute, University of Warwick, specializing in algebraic topology, algebraic geometry, and representation theory. His research explores tensor-triangular geometry, motivic homotopy theory, and the structure of permutation modules. Education includes a PhD in Mathematics (2015), MA in Philosophy (2011), and MS in Mathematics (2011) from the University of Zurich. Research focuses on the interplay between homotopy theory and arithmetic geometry, with investigations into motivic cohomology, p-adic cohomology theories, and categorical structures in representation theory. Publications concentrate on advances in tensor-triangular geometry (patch-density, spectral classifications), motivic phenomena (Artin-Tate motives, monodromy operators), and foundational frameworks (six-functor formalisms, universal coefficient systems). Articles frequently employ derived categories, Galois representations, and homological techniques. Current PhD students include Yorick Fuhrmann, Pier Federico Pacchiarotti, and Daniel Roebuck, working on problems in chromatic homotopy theory and geometric representation theory.

Or Brookمشاهده پروفایل

دانشیار

• Competition Law and Policy
• Antitrust
• Regulation
• +۳ مورد دیگر

Dr. Or Brook is an Associate Professor of Competition Law and Policy at the School of Law, University of Leeds, and Deputy Director of the Centre for Business Law and Practice. They hold interdisciplinary qualifications, including a PhD from the Amsterdam Centre for European Law and Governance, an LLM in European Competition Law from the University of Amsterdam, and degrees in Law and Economics from the Hebrew University of Jerusalem. Research focuses on international EU competition law, antitrust, and empirical legal methods. Notable projects include the Priority Setting Project (funded by ESRC) and a comprehensive study of judicial review in EU competition law. They co-edit the Research Handbook on Abuse of Dominance and lead the UK branch of ASCOLA, contributing to policy discussions through international collaborations. Education: PhD in Law, University of Amsterdam LLM in European Competition Law, University of Amsterdam LLB and BSc in Economics, Hebrew University of Jerusalem Research interests emphasize empirical analyses of legal texts, institutional enforcement practices, and competition law’s intersections with other regulatory frameworks. Recent monograph Non-Competition Interests in EU Antitrust Law (Cambridge UP, 2022) presents novel empirical data on public policy influences in EU competition enforcement. Key awards include the Michael Beverley Innovation Fellowship (associated member), supporting entrepreneurial academic initiatives. Their work bridges law and economics through interdisciplinary methods, advocating for empirical rigor in European legal scholarship.

• Stable Homotopy Theory
• Chromatic Homotopy Theory
• Tensor Triangulated Geometry
• +۳ مورد دیگر

Drew Heard is an Associate Professor at the Norwegian University of Science and Technology (NTNU), Trondheim, supported by the Trond Mohn Foundation. His research bridges stable homotopy theory and tensor triangulated geometry, with a focus on chromatic homotopy theory, Balmer spectra, and descent techniques. He has collaborated extensively with researchers at institutions like Regensburg University, Haifa University, and the Max Planck Institute for Mathematics in Bonn. Key Research Areas: Stable homotopy theory, chromatic homotopy theory, tensor triangulated geometry, and equivariant homotopy theory. Publications: His work includes classifications of thick subcategories in functor calculus, cosupport theory, and stratification theorems in equivariant homotopy theory. Recent papers explore connections between tensor triangulated geometry and algebraic structures like Picard groups, Balmer spectra, and local duality. Grants and Collaborations: Supported by the Trond Mohn Foundation, he has worked with teams at the SFB Higher Invariants, SPP 1786, and in projects like 'tt-geometry in Trondheim.'

• Computational Fluid Dynamics
• Aerodynamic Shape Optimization
• Simulation-Based Design
• +۳ مورد دیگر

Dr. Jason Hicken is an Associate Professor in the Mechanical, Aerospace, and Nuclear Engineering Department at Rensselaer Polytechnic Institute (RPI), and co-director of the Rensselaer Augmented and Virtual Environment. His research focuses on computational fluid dynamics, aerodynamic shape optimization, and simulation-based design. He holds a Ph.D. in Aerospace Engineering from the University of Toronto Institute for Aerospace Studies (2009), with postdoctoral training at Stanford University. Notable awards include the AFOSR Young Investigator Award (2015) and NSF CAREER Award (2016). His research interests span high-order numerical methods, entropy-stable discretizations, and optimization techniques for complex systems. He has contributed to advancing finite-difference operators, summation-by-parts schemes, and multi-disciplinary design optimization. His work bridges computational engineering and applied mathematics, addressing challenges in fluid dynamics, thermal systems, and aerospace applications. His lab, the Optimal Design Lab (http://www.optimaldesignlab.com/), develops innovative tools for engineering design optimization. Key achievements include developing entropy-stable numerical frameworks and integrating machine learning techniques for preconditioning in advection-dominated flows. His research has been applied to electric motor design, thermal management systems, and additive manufacturing. Awards recognize his contributions to foundational methods in computational engineering and aerospace optimization.

• Lie algebras
• Hopf algebras
• Representation theory
• +۲ مورد دیگر

Yuri Bazlov is a Lecturer in Pure Mathematics at The University of Manchester. His research focuses on Lie algebras, Hopf algebras, representation theory, reflection groups, and Coxeter groups. He holds a PhD in Mathematics from the Weizmann Institute of Science (2003), specializing in exterior powers of adjoint representations of semisimple Lie algebras. His work explores algebraic structures such as rational Cherednik algebras, braided doubles, and Nichols–Woronowicz algebras, with applications to Schubert calculus and noncommutative geometry. Recent projects include studies on cocycle twists, quantum Segre maps, and mystic reflection groups. Bazlov has contributed to foundational areas like Drinfeld modules, invariant polynomials, and Harish-Chandra isomorphisms for Clifford algebras. His research bridges abstract algebra with geometric and combinatorial methods, often involving reflection groups and their representations. He supervises PhD students in topics such as Lie algebra actions on noncommutative rings and is actively involved in the Digital Futures research beacon at The University of Manchester.

• Homotopy Theory
• Algebraic Geometry
• Combinatorics
• +۳ مورد دیگر

Kyle Ormsby is an Associate Professor of Mathematics and Department Chair at Reed College. His research focuses on homotopy theory, algebraic geometry, and combinatorics, with particular interests in operads, equivariant homotopy, and geometric data analysis. He teaches courses like Math 111 (Calculus), Math 201 (Linear Algebra), and Math 411 (Advanced Analysis). His work bridges abstract algebraic structures and combinatorial methods, often involving collaborations with students and researchers in homotopical combinatorics. Ormsby's research explores topics such as transfer systems, N∞ operads, and motivic homotopy theory, with applications to algebraic K-theory and geometric data analysis in neuroimaging. He has organized conferences like the 2024 Homotopical Combinatorics MRC and co-founded the Project Project lab for visualizing mathematical concepts. His publications span journals like Glasgow Mathematical Journal and Homology, Homotopy and Applications , with a focus on combinatorial and categorical approaches to homotopy theory. Ormsby mentors undergraduate research, resulting in student-authored papers such as Equivariant Linear Isometries Operads and Injectivity and Surjectivity of the Dress Map . His work emphasizes interdisciplinary connections, blending pure mathematics with computational tools and visualization.

• Algebra
• Representation Theory
• Semigroup Theory
• +۳ مورد دیگر

Marianne Johnson is a Senior Lecturer in the School of Mathematics at the University of Manchester. She is a core member of the tropical mathematics research group and collaborates with institutions including Birmingham, Queen Mary University of London, and Warwick through an LMS Joint Research Network. Her research focuses on algebra and combinatorics, including free Lie algebras, representation theory, semigroup theory, and tropical algebra/geometry. She has contributed to EPSRC-funded projects such as 'Multiplicative Structure of Tropical Matrix Algebra' and 'Modular Lie Powers and Applications,' and participated in the CICADA interdisciplinary project. Her research interests span a wide array of algebraic topics: free Lie algebras explore the structure of non-associative algebras, while representation theory examines how algebraic structures act on vector spaces. Semigroup theory and tropical algebra involve studying combinatorial and geometric properties of matrices and monoids over semirings. Recent work includes studies on plactic-like monoids, tropical matrix identities, and linear functions preserving Green's relations. Johnson has co-authored over 29 publications, with recent trends emphasizing tropical algebra's applications to geometric and algorithmic problems, such as tropical matrix groups and hyperplane arrangements. Her work bridges pure mathematics with interdisciplinary fields like computational dynamics and healthcare through collaborations like CICADA. Notable projects include analyzing upper triangular tropical matrices and exploring NP-completeness in gossip monoids. She has advised three research students and contributed to grants involving EPSRC-funded projects. Her affiliations include the Data Science Institute, Algebra research group, and Tropical Mathematics cluster at Manchester. Her work also intersects with Digital Futures initiatives, reflecting her commitment to advancing computational and theoretical mathematics.