جستجوی استاد راهنمای دانشگاهی

Thomas Hartmanمشاهده پروفایل

استاد

• Quantum Gravity
• Quantum Field Theory
• String Theory
• +۴ مورد دیگر

Thomas Hartman is a Professor of Physics in the College of Arts and Sciences at Cornell University. He received his A.B. in Physics from Princeton University in 2004 and his Ph.D. in Physics from Harvard University in 2010. His professional journey includes being a Member of the School of Natural Sciences at the Institute for Advanced Study (2010-2013), Research Associate at the Kavli Institute for Theoretical Physics, UCSB (2013-2014), Assistant Professor at Cornell University (2014-2020), Associate Professor at Cornell University (2020-2022), and Professor at Cornell University (2022-present). Hartman's research focuses on theoretical aspects of quantum gravity and quantum field theory, with particular emphasis on black hole information and strongly interacting quantum fields. His work explores four major interconnected areas: gauge/gravity duality (examining how quantum field theory degrees of freedom organize into fluctuating spacetime), black hole information paradox (investigating the relationship between classical black hole solutions and quantum statistical systems), new approaches to quantum field theory using dualities and entanglement dynamics, and the physics of de Sitter space with implications for early universe cosmology. His research employs techniques from string theory, holographic duality, general relativity, and quantum information theory. Analysis of Hartman's publication record reveals a strong focus on resolving fundamental questions in quantum gravity, particularly through the development of replica wormhole techniques that address the black hole information paradox. His work spans both highly mathematical approaches to quantum gravity and connections to potentially observable phenomena, with increasing emphasis on connections between quantum information science and gravitational physics in recent years. Member, School of Natural Sciences, Institute for Advanced Study, 2010-2013 Hartman has advised graduate students including Jeevan Chandra Namburi and Wan Zhen Chua, contributing to the next generation of theoretical physicists. His research group actively investigates the emergence of spacetime from quantum information principles and develops new mathematical frameworks for understanding quantum gravity. The group maintains strong connections with other leading institutions through collaborative projects and participates in major theoretical physics initiatives including Snowmass planning for future research directions in high energy physics. Hartman's research program represents a vital bridge between abstract theoretical concepts in quantum gravity and potential experimental tests, working to develop frameworks that could ultimately connect quantum gravity to observable phenomena in both high-energy physics and cosmological observations.

• Geometry
• Discrete Mathematics
• Linear Algebra
• +۳ مورد دیگر

Maria Rita Casali is a Full Professor at the Department of Physical, Computer and Mathematical Sciences, University of Modena and Reggio Emilia. Her research focuses on geometry, topology, and mathematical structures, particularly in relation to PL-manifolds and colored tensor models. Teaching: Courses in Geometry, Discrete Mathematics, and Linear Algebra for Engineering and Strategic Sciences degrees. Research: Investigates combinatorial invariants (regular genus, G-degree, gem-complexity) for compact 4-manifolds, linking them to quantum gravity and tensor models. Publications: Recent works include studies on trisections of 4-manifolds, classifications via colored graphs, and combinatorial properties of the G-degree. Her contributions to crystallization theory and PL-manifold representation have advanced the understanding of geometric topology and its applications in theoretical physics.

• Algebraic Topology
• Differential Geometry
• Manifold Theory
• +۳ مورد دیگر

Paola Cristofori is an Associate Professor in the Department of Physical, Computer and Mathematical Sciences at the University of Modena and Reggio Emilia. Her research focuses on Algebraic Topology, Differential Geometry, and Manifold Theory, with contributions to PL topology, 4-manifolds, and combinatorial structures like crystallization theory. She teaches courses in Geometry, Linear Algebra, and Algebraic Topology for undergraduate and graduate programs in Mathematics, Civil Engineering, and Strategic Sciences. Her work emphasizes topological invariants, combinatorial methods in manifold classification, and applications of colored graphs. Key areas include trisections of 4-manifolds, Kirby diagrams, and G-degree theory. She collaborates extensively on projects involving geometric topology and computational topology tools. Dr. Cristofori’s teaching spans foundational topics in linear algebra, Euclidean geometry, and advanced algebraic topology, emphasizing rigorous proofs and practical applications. Her research is published in top journals and includes over 40 articles, reflecting her deep engagement with low-dimensional topology and geometric structures.

• Mesh generation
• Numerical simulation
• Finite element methods
• +۵ مورد دیگر

Houman BOROUCHAKI is a Professor at the University of Technology of Troyes (UTT), France, with over 20 years of academic leadership. He has served as Head of the Automatic Mesh Generation and Advanced Methods (GAMMA3) project team since 2008 and previously led the Laboratory of Mechanical Systems and Concurrent Engineering (LASMIS) (2005-2007). His work bridges academic research and industrial applications through collaborations with INRIA , French Petroleum Institute (IFPEN) , Dassault Aviation , and others. Research Interests: A pioneer in adaptive meshing , he focuses on finite element methods , geometric modeling , and numerical simulations . His innovations underpin mesh generation algorithms , 3D triangulation software , and industrial applications in metal forming, composite simulation, and subterranean modeling. Scientific Trends: His recent work emphasizes metric-based meshing , high-order geometric validity , and parallel processing for mesh generation , with applications in petroleum reservoirs, aviation surfaces, and nanomaterials. His Google Scholar profile reflects 25+ years of contributions to meshing and simulation. Teaching: With 22 years of experience, he teaches courses on meshing , numerical analysis , geometric modeling , and computer graphics at UTT, covering undergraduate to PhD levels. Labs & Teams: He leads the interdisciplinary GAMMA3 team and has contributed to LASMIS (mechanical engineering), L2n (CNRS-UMR 7076) (nanomaterials), and LIST3N (computer science).

Neil Stricklandمشاهده پروفایل

استاد

• Algebraic Topology
• Stable Homotopy Theory
• Formal Groups
• +۳ مورد دیگر

Professor Neil Strickland is a faculty member at the University of Sheffield's School of Mathematical and Physical Sciences, holding the rank of Professor. He earned his PhD from the University of Manchester in 1992 and held positions as a C.L.E. Moore Instructor at MIT and a Research Fellow at Trinity College Cambridge before joining Sheffield in 1998. He received the prestigious Whitehead Prize from the London Mathematical Society in 2005. His research focuses on stable homotopy theory, exploring connections between topology, algebraic geometry, and category theory. Key areas include formal group laws, chromatic homotopy theory, and equivariant cohomology. Prof. Strickland emphasizes translating topological problems into algebraic frameworks, leveraging category theory for structural insights. Grants: He has led EPSRC-funded projects, including 'Symmetric Powers of Spheres' and 'Equivariant Elliptic Cohomology and Class Field Theory,' and collaborated on grants like 'Higher Structures on Elliptic Cohomology.' Teaching: Prof. Strickland instructs courses such as MAS334 Combinatorics and MAS435 Algebraic Topology. His homepage provides further academic resources and materials. Awards: His recognition includes the Whitehead Prize, reflecting contributions to algebraic topology and homotopy theory.

• Algebra
• Category Theory
• Commutative Algebra
• +۳ مورد دیگر

Henrik Granau Holm is a Professor in the Department of Mathematical Sciences at the University of Copenhagen. His research focuses on advanced algebraic structures within category theory and commutative algebra, with significant contributions to derived categories and quiver representations. His primary research areas include Algebra, Category Theory, Commutative Algebra, Derived Categories, Quiver Representations, and Homological Algebra. His work explores the structural properties of derived categories, particularly Q-shaped derived categories, and their applications in representation theory. Recent research investigates compact and perfect objects in ring-derived categories, tensor embeddings in Grothendieck cosmos, and vanishing properties of Tor functors. Holm's publication record shows consistent output in top mathematics journals, with multiple 2024 publications including a book on derived category methods in commutative algebra. His research demonstrates strong international collaboration, particularly with researchers in representation theory and category theory. Holm has supervised PhD students and postdoctoral researchers as indicated by departmental records. His activities include editorial work for Mathematical Reviews and Zentralblatt MATH, along with numerous lecture presentations on cohomology and AC rings dating back to 2007.

Fangzhou Jinمشاهده پروفایل

استادیار

• Algebraic Geometry
• Pure motives
• Mixed motives
• +۵ مورد دیگر

Fangzhou Jin is an Assistant Professor at the School of Mathematical Sciences, Tongji University. His research focuses on advanced topics in Algebraic Geometry , particularly in Motivic Homotopy Theory , Algebraic K-theory , and Real Algebraic Geometry . He has extensive experience in collaborative mathematical research, having worked with prominent mathematicians such as Frédéric Déglise, Enlin Yang, and Marc Levine. Education : Ph.D. in Mathematics (2016, École Normale Supérieure de Lyon), M.Sc. in Pure Mathematics (2012, Université Paris-Diderot), Diploma of ENS (2013) His work bridges Algebraic Cycles with Étale Cohomology , exploring Weight Structures in mixed motives and Chern Classes in motivic contexts. Jin has contributed to the theory of Trace Maps and Local Terms in motivic homotopy, as well as the study of Flat Cohomology and Real Schemes . Key trends in his publications include: 2025: Cohomology of singular varieties via real cycle class maps 2024: Trace maps and local terms in motivic homotopy 2023: Moving lemmas in homotopy colevel theory 2022: Quadratic conductors, perverse homotopy, and pro-Chern classes 2021: Rational motivic homotopy and Künneth formulas 2020: Gersten complexes and real flat cohomology 2018: Algebraic G-theory in motivic categories 2016: Borel-Moore homology and weight structures Scientific Awards & Grants : Fundamental Research Funds for Central Universities (2021-2025) National Natural Science Foundation of China Grants 12101455 (2022-2024), 12471014 (2025-2028) National Key R&D Program of China 2021YFA1001400 (2022-2026) DFG Priority Programme SPP 1786 & ERC Project QUADAG (2018-2020) Advising & Teaching : Jin has supervised exercise classes and seminars at multiple institutions, including Universität Duisburg-Essen and Tongji University. His teaching spans Algebraic Topology , Étale Cohomology , and Algebraic Geometry . Labs & Collaborations : Active in international collaborations, he is a key member of the Algebraic Geometry and Ramification Seminar at Tongji University and has participated in DFG Research Training Group 2553 during his postdoctoral period.

Anil N. Hiraniمشاهده پروفایل

استاد

• Differential Equations
• Numerical Analysis
• Computational Topology
• +۵ مورد دیگر

Anil N. Hirani is a Professor in the Department of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), affiliated with the College of Liberal Arts & Sciences. He holds a PhD from the California Institute of Technology (2003) in Computer Science with minors in Mathematics and Control and Dynamical Systems. His academic journey includes roles as Assistant Professor (Computer Science, UIUC, 2005–2013) and Associate Professor (Mathematics, UIUC, 2013–2022) before becoming a full Professor in 2022. His research focuses on the interplay between geometry/topology and algorithms, with emphasis on structure-preserving discretizations of exterior calculus and differential geometry. Key areas include Discrete Exterior Calculus (DEC), numerical methods for PDEs, computational topology, and machine learning applications. He has organized workshops, such as the 2025 Discrete Exterior Calculus workshop at IMSI, and contributed to software like PyDEC. Education: PhD, Caltech (2003); MS in Computer Science (Stanford); Undergraduate degree in Computer Science (BITS Pilani, India). Awards include the NSF CAREER Award (2007–2012). Teaching includes courses on Differential Geometry (MATH 423), Vector and Tensor Analysis (MATH 481), and Computational Mathematics (MATH 490). He has advised numerous PhD students, notable among them Kaushik Kalyanaraman and Vaibhav Karve. Articles span DEC applications in fluid dynamics, cohomology computations, and machine learning. His work bridges theoretical foundations with practical applications in engineering and computer science.

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).

• Statistical Mechanics
• Probability Theory
• Discrete Geometry
• +۳ مورد دیگر

Richard Kenyon is the Erastus L. DeForest Professor of Mathematics at Yale University, serving as Director of Undergraduate Studies. His research focuses on statistical mechanics, probability, and discrete geometry, with notable contributions to dimer models, random tilings, and integrable systems. He has explored topics such as limit shapes, phase transitions, and combinatorial configurations. His work intersects algebraic geometry, combinatorics, and mathematical physics, often involving the analysis of lattice models and their applications. His research includes open problems such as tiling optimization, geometric spanning surfaces, number theory questions, and rigidity of tilings. Kenyon's gallery showcases visualizations of mathematical concepts, including random triangulations, Vinnikov curves, and conformal mappings. His academic contributions span over three decades, with recent articles addressing dimers, webs, and eigenvalue properties. He actively collaborates on projects like the six-vertex model, multiwebs, and renormalizable dynamical systems. Kenyon’s academic service includes directing undergraduate studies at Yale and contributing to initiatives in discrete differential geometry. His work highlights the interplay between pure mathematics and applied probability, with applications in physics and combinatorial optimization.

• 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.

Joseph Chuangمشاهده پروفایل

استاد

• Representation Theory
• Homological Algebra
• Triangulated Categories
• +۵ مورد دیگر

Professor Joseph Chuang is a faculty member in the Department of Mathematics at City St George's, University of London. He holds the academic rank of Professor in Pure Mathematics. He is based in the Tait Building, Northampton Square, London. BA in Mathematics, Harvard University, 1994 Master of Advanced Study in Mathematics, University of Cambridge, 1995 PhD in Mathematics, University of Chicago, 1998 Professor Chuang's research is centered in pure mathematics, particularly in representation theory and homological algebra. His primary interests include the representations of finite and symmetric groups, the structure of triangulated categories, and the theory of homotopy algebras and operads. His work often bridges algebra and topology, exploring the homological properties of algebraic structures and their categorifications. He has made significant contributions to the understanding of derived equivalences, localization in derived categories, and the algebraic models of topological phenomena. His recent publications demonstrate a consistent focus on the interplay between algebra and topology. His work on homotopy epimorphisms, derived localization, and the structure of Maurer-Cartan algebras reveals a deep engagement with modern homotopical algebra. The recurring keywords in his publications, such as 'derived categories,' 'homological algebra,' 'symmetric groups,' and 'operads,' indicate a research program that is both cohesive and at the forefront of contemporary algebra. Advanced Research Fellow, EPSRC Professor Chuang has supervised research students, including Alfred Dabson. His research has been supported by EPSRC grants (EP/N015452/1 and EP/N016505/1). He is a member of the London Mathematical Society. His work is primarily theoretical, and there is no mention of specific research labs or large collaborative teams in the provided text.

• 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

Martin Herschendمشاهده پروفایل

مدرس ارشد

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

Dr. Martin Herschend is a Senior Lecturer at the Department of Mathematics , Uppsala University. His research focuses on Algebra , Representation Theory , and Category Theory , with particular emphasis on quiver representations, cluster tilting theory, and homological algebra. Research Areas: Algebraic structures, quiver theory, cluster tilting, homological algebra, and categorification. Key Collaborations: Active collaborations with Sondre Kvamme, Yu Liu, Hiroyuki Minamoto, and other researchers in higher-dimensional representation theory. Recent Publications: Pioneering work on nZ-cluster tilting , Geigle-Lenzing complete intersections , and exangulated categories with applications to noncommutative geometry and singularity theory. Contact: martin.herschend@math.uu.se

Peter Matthew Magyarمشاهده پروفایل

دانشیار

• Representation Theory
• Algebraic Combinatorics
• Algebraic Geometry
• +۵ مورد دیگر

Prof. Peter Matthew Magyar is an Associate Professor in the Department of Mathematics at Michigan State University (MSU). He holds a B.A. in Mathematics from Princeton University (summa cum laude, 1986) and a Ph.D. in Mathematics from Harvard University (1993, advised by Joseph N. Bernstein). Before joining MSU in 2000, he held postdoctoral and visiting positions at the University of Utrecht (Netherlands), Université de Paris VII, Northeastern University, and Brandeis University. His research focuses on representation theory, algebraic combinatorics, and algebraic geometry, with emphasis on Lie groups, loop groups, Schubert varieties, and combinatorial structures like Young tableaux and Littelmann paths. Education: Princeton University, B.A. Mathematics, 1986 Harvard University, Ph.D. Mathematics, 1993 Research Interests: Representation theory of semi-simple complex Lie groups Algebraic combinatorics (Young tableaux, Littelmann paths) Schubert calculus and affine Schubert polynomials Geometry of flag varieties and affine Grassmannians Honors: NSF Graduate Fellowship (1986-89) NSF Postdoctoral Fellowship (1995-98) NSF Grants DMS-0405948 (2004-07) and DMS-0703524 (2007-10) Teaching: Courses include graduate combinatorics, abstract algebra, discrete mathematics, and honors calculus. Developed a daily-quiz system for upper-level courses. Collaborations: Works with researchers such as V. Lakshmibai, P. Littelmann, A. Zelevinsky, and others on geometric and combinatorial representation theory. Outreach: Participates in the Kinawa-Chippewa Math Circle, offering modular arithmetic and cryptography workshops for students.