جستجوی استاد راهنمای دانشگاهی

Konstantin Wernliمشاهده پروفایل

استادیار

• Quantum Field Theory
• Mathematical Physics
• Geometric Quantization
• +۳ مورد دیگر

Konstantin Wernli is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark, affiliated with the Quantum Mathematics research group. His research focuses on quantum field theory, geometric quantization, and mathematical physics, with a particular emphasis on topological field theories and perturbative methods. He has contributed to foundational work in Chern-Simons theories, BV-BFV formalisms, and geometric analysis. His research interests include quantum field theories, algebraic geometry, and the intersection of topology with physics. Notably, he explores combinatorial approaches to quantum field theory, geometric quantization frameworks, and the application of advanced mathematical tools to solve problems in theoretical physics. Recent work includes studies on partition functions, constrained dynamical systems, and the globalization of sigma models. His articles often bridge abstract mathematics with physical applications, such as analyzing heat kernels, theta invariants, and entanglement polytopes. Wernli is a project participant in the Sapere Aude grant 'FROM PERTURBATIVE TO NON-PERTURBATIVE QUANTUM FIELD THEORY BY CUTTING AND GLUING' (2024–2028), which aims to advance non-perturbative QFT techniques. He has advised on research projects involving heat kernel analysis and geometric quantization, though no formal student advisees are listed.

Tom Robyمشاهده پروفایل

استاد

• Algebraic Combinatorics
• Enumerative Combinatorics
• Dynamical Algebraic Combinatorics
• +۴ مورد دیگر

Tom Roby is a tenured full Professor in the Department of Mathematics at the University of Connecticut (UConn). He holds a Ph.D. in algebraic combinatorics from MIT under Richard Stanley, with prior degrees from Swarthmore College and Kenwood Academy. His research focuses on algebraic and enumerative combinatorics, particularly birational rowmotion, homomesy, and dynamical algebraic combinatorics. He has held faculty roles at Cal State Hayward (now East Bay), the University of Wisconsin, Reed College, and the University of Tokyo as a JSPS postdoctoral fellow. Roby has directed the Quantitative Learning Center (Q Center) at UConn from 2005–2012 and contributed to educational outreach programs such as ACCLAIM and PROMYS. His teaching includes courses like Math 2210Q (Applied Linear Algebra). He actively engages in academic service, including directing summer programs for students and K–12 teachers. His work bridges theoretical research with practical education, emphasizing combinatorial dynamics and algebraic structures. His professional activities include organizing workshops on dynamical algebraic combinatorics and publishing extensively on topics like rowmotion, toggling, and poset dynamics. He maintains a robust online presence with course materials, software resources, and collaborations through platforms like Zulip and Nexus.

Sven Raumمشاهده پروفایل

استاد

• Operator Alge
• Group Theory
• Quantum Groups
• +۴ مورد دیگر

Prof. Dr. Sven Raum is Chair of Algebra at the University of Potsdam , Germany, within the Institute of Mathematics . His research focuses on operator algebras and their interactions with groups and group-like structures, including Hecke algebras, groupoids, quantum groups, and tensor categories. He leads the research group GOAT (Gruppen- und Operatoralgebren-Treffen), which includes postdocs Sanaz Pooya and Jonathan Taylor.

Misha Feiginمشاهده پروفایل

استاد

• Integrable Systems
• Mathematical Physics
• Algebra
• +۶ مورد دیگر

Misha Feigin is a Professor of Mathematics at the University of Glasgow's Department of Mathematics and Statistics. His research focuses on integrable systems, mathematical physics, algebra, and geometry, with emphasis on quantum integrable systems, Cherednik algebras, and WDVV equations. He has advised multiple PhD students and collaborates on EPSRC grants such as 'Angular Cherednik Algebras and Integrability.' Feigin's work explores connections between integrable systems and algebraic structures, including Coxeter groups and Frobenius manifolds. He has organized events like the LMS Classical and Quantum Integrability conference in Glasgow and contributed to international conferences such as 'Integrability in Algebra, Geometry and Physics' in Switzerland. His research spans advanced topics like Baker-Akhiezer functions, quasi-invariant polynomials, and Dunkl operators, with applications to supersymmetry and quantum mechanics. Feigin's recent articles address angular momentum algebras, V-systems, and generalized integrable models. Awards: None explicitly mentioned. Grants: EPSRC grant 'Calogero-Moser systems, Cherednik algebras and Frobenius structures' (2008-2011) EPSRC grant 'Angular Cherednik Algebras and Integrability' (2023-) Feigin co-supervises PhD students in areas like quasi-invariants and Frobenius structures, and collaborates with researchers such as Prof. Gwyn Bellamy and Prof. Ian Strachan. His teaching includes 'Classical Field Theory and Special Relativity.'

Eli Hawkinsمشاهده پروفایل

مدرس ارشد

• Noncommutative Geometry
• Mathematical Physics
• Quantum Gravity
• +۴ مورد دیگر

Dr. Eli Hawkins is a Senior Lecturer in the Department of Mathematics at the University of York. His work bridges geometry and noncommutative algebras, with a focus on quantization, noncommutative geometry, and quantum gravity. Education: PhD in Physics and Mathematics from Penn State University Research Interests: His research integrates advanced mathematical frameworks like C*-algebras, Poisson geometry, and Lie groupoids to explore quantization and quantum gravity, with applications in quantum field theory and differential geometry. Recent Publications: His recent work includes studies on Hochschild cohomology, deformation quantization, and noncommutative regularization, reflecting his expertise in algebraic and geometric methods.

Siegfried Echterhoffمشاهده پروفایل

استاد

• Operator Algebras
• Mathematical Physics
• Functional Analysis
• +۴ مورد دیگر

Prof. Dr. Siegfried Echterhoff is a Professor at the University of Münster, affiliated with the Mathematical Institute within the Faculty of Mathematics and Computer Science. He serves as an Investigator in Mathematics Münster and is a member of the Collaborative Research Center (CRC) 1442, focusing on Geometry: Deformations and Rigidity. His research expertise centers on operator algebras and mathematical physics, particularly C*-algebras, K-theory, and noncommutative geometry. Education: After completing a car mechanic apprenticeship, he studied Mathematics and Mechanical Engineering at the University of Paderborn. His academic journey reflects a strong foundation in both pure mathematics and applied fields. Research Interests: Echterhoff’s work spans operator algebras, including studies on C*-dynamical systems, crossed products, and fixed-point algebras. He collaborates extensively, with notable contributions to deformation theory, noncommutative Bernoulli shifts, and the Baum-Connes conjecture. His research bridges functional analysis, K-theory, and group actions, with applications in mathematical physics. Grants & Projects: Active in the CRC 1442, his projects include investigations into exotic crossed products, deformation of C*-algebras, and the interplay between algebraic structures and geometric concepts. He also contributes to educational outreach, serving as a liaison lecturer for the Friedrich Ebert Foundation. Labs/Teams: Leads the functional analysis and operator algebras research group at the Mathematical Institute, fostering collaborations with international researchers like Alcides Buss and Rufus Willett.

• Operator Algebra
• C*-algebras
• K-theory
• +۳ مورد دیگر

Søren Eilers is a Professor at the Department of Mathematical Sciences , University of Copenhagen. His research focuses on Operator Algebras , particularly the classification of C*-algebras related to discrete and low-dimensional structures. He is a member of the FNU network 'Automorphisms and Invariants for Operator Algebras' and advocates for experimental mathematics using computational methods in pure mathematics. Education: MS in Mathematics and Computer Science, University of Copenhagen (1993) PhD in Mathematics, University of Copenhagen (1995) Research Interests: Operator Algebras K-theory Symbolic Dynamics Discrete Mathematics Experimental Mathematics Recent Publications (2016-2024) demonstrate expertise in graph C*-algebras , symbolic dynamics , and computational approaches to pure mathematics, with key collaborations in Denmark, Japan, Canada, and the U.S. Scientific Leadership: President, Danish Mathematical Society (2006-2008) Principal Investigator, Villum Fonden (2012-2016) Main Organizer, Mittag-Leffler Institute Program (2016) Advisory Roles: Supervised 28 master's theses and mentored 9 PhD students/postdocs (2003-2022) across institutions in Denmark, Canada, Japan, and the U.S.

Simon Wadsleyمشاهده پروفایل

مدرس

• Iwasawa Algebras
• Representation Theory
• Algebraic Geometry
• +۵ مورد دیگر

Simon Wadsley is a Lecturer in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge's Faculty of Mathematics. His research focuses on algebraic structures, particularly in the realm of Iwasawa algebras, p-adic representation theory, and noncommutative geometry. He is affiliated with the Algebra research group and contributes to foundational work in D-modules on rigid analytic spaces and equivariant line bundles over p-adic spaces. Academic Position: Lecturer, DPMMS, University of Cambridge Research Group: Algebra Contact: S.J.Wadsley@dpmms.cam.ac.uk | Room C0.05 His research interests span prime ideals in Iwasawa algebras , p-adic analytic groups , and equivariant geometric structures . He explores connections between algebraic geometry and number theory, with notable contributions to the theory of D-modules in rigid analytic settings and the study of representations of p-adic Lie groups. Recent work includes investigations into global sections of line bundles on p-adic upper half planes and holonomicity properties of D-modules. Publications highlight advancements in p-adic analysis, including work on Kashiwara equivalences and weak holonomicity. His research also extends to categorical frameworks like PROPs for linear systems and foundational studies in noncommutative algebraic structures. Wadsley collaborates widely, with key contributions to Iwasawa theory and invariant ideals in noncommutative rings.

• Operator Algebras
• K-theory
• Symbolic Dynamics
• +۴ مورد دیگر

Søren Eilers is a Professor at the Department of Mathematical Sciences, University of Copenhagen, affiliated with both the QA (Analysis & Quantum) and AG (Algebra & Geometry) sections. He holds editorial roles at Journal of Mathematical Analysis and Applications and contributed to Springer's Operator Algebra and Dynamics proceedings. Education : M.S. (1993), PhD (1995) in Mathematics from the University of Copenhagen. Positions : Assistant Professor (1996–1999), Associate Professor (1999–2008), Professor (2008–present). Research Interests : Focus on operator algebras, particularly C*-algebras associated with discrete structures. Active in symbolic dynamics, K-theory, and experimental mathematics. His work bridges algebraic structures and dynamical systems, with notable contributions to the classification of graph C*-algebras and the LEGO counting problem. Recent efforts emphasize computer-aided methods in mathematical research. Key Contributions : Pioneered geometric classification of graph C*-algebras, explored flow equivalence of shift spaces, and authored Introduction to Experimental Mathematics (2017). His research has been supported by grants such as the Villum Fonden's Experimental Mathematics initiative (2012–2016). Teaching & Mentorship : Supervised 28 PhD theses and numerous projects in analysis, discrete mathematics, and experimental mathematics. Taught courses in functional analysis, dynamical systems, and experimental methods. Scientific Leadership : Organized major programs like the 2016 Mittag-Leffler Institute's classification of operator algebras. Served as President of the Danish Mathematical Society (2006–2008) and led NordForsk's Operator Algebras and Dynamics network (2009–2012). International Collaboration : Extensive visiting appointments at institutions like MSRI (Berkeley), Fields Institute (Toronto), and Institut Mittag-Leffler (Stockholm). Maintains global research networks in operator algebras and dynamics.

• 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).

• Mathematical Physics
• Quantum Theory
• Noncommutative Geometry
• +۳ مورد دیگر

James Gaunt is an Assistant Professor in the School of Mathematical & Computer Sciences, specializing in the Mathematics department at Heriot-Watt University. His research focuses on advanced mathematical physics, noncommutative geometry, and quantum theory, with notable contributions to fuzzy spectral triples and gauge invariance. His work bridges abstract algebraic structures with geometric and physical applications. Research interests include mathematical frameworks for quantum gravity, spectral triples in noncommutative spaces, and deformation theory applied to Hopf fibrations. Recent publications explore topics such as finite spectral triples for fuzzy tori and BV quantization in dynamical systems. No scientific awards or grants are explicitly mentioned. He has not listed any advisees or students. Collaborations include researchers such as John W. Barrett and Alexander Schenkel, reflecting interdisciplinary work in geometry and theoretical physics. His academic profile emphasizes peer-reviewed contributions to journals like Journal of Geometry and Physics and Symmetry, Integrability and Geometry , highlighting rigorous mathematical approaches to complex physical systems.

Emmanuel Breuillardمشاهده پروفایل

استاد

• Combinatorics
• Geometric Group Theory
• Ergodic Theory
• +۱ مورد دیگر

Emmanuel Breuillard is a Professor of Pure Mathematics at the University of Oxford. Previously, he held positions as Sadleirian Professor at the University of Cambridge (2017-2021), Professor at Université Paris-Sud (2008-2017), and Associate Hadamard Professor at École Polytechnique (2006-2008). His academic journey includes a PhD from Université Paris-Sud and Yale University, supervised by Frédéric Paulin and Gregory Margulis, and a Master in Mathematics from Cambridge. PhD: Université Paris-Sud (2004), supervised by Frédéric Paulin; Yale University, supervised by Gregory Margulis Master: University of Cambridge (2000) Ecole Normale Superieure (1997-1999) His research spans Combinatorics , Geometric Group Theory , Ergodic Theory , and Number Theory , focusing on approximate groups, expansion in finite simple groups, and Diophantine geometry. His recent work analyzes Elekes-Szabo problems in projective geometries. He has authored 50+ publications in prestigious journals, addressing topics like random polynomials, C*-simplicity, and uniform independence in linear groups. Fellow of the Royal Society (2024) ERC Consolidator Grant (2014-2019) Prix Charles-Louis de Freycinet (2013) European Mathematical Society Prize (2012) ERC Starting Grant (2008-2013) Cours Péccot, Collège de France (2006)

• Algebraic Methods in Dynamical Systems
• Difference and Differential Algebra
• Galois Theory of Differential Equations
• +۴ مورد دیگر

Michael Wibmer is a Lecturer in Pure Mathematics at the University of Leeds since 2023. Previously, he held positions at Graz University of Technology, the University of Notre Dame, the University of Pennsylvania, and RWTH Aachen University. He earned his PhD from the University of Heidelberg under the supervision of B.H. Matzat. His research focuses on algebraic, algorithmic, and arithmetic aspects of differential and difference equations, including Galois theory and algebraic groups. Key areas include algebraic methods in dynamical systems, symbolic computation, and connections to model theory and number theory. He organizes events like the Online Kolchin Seminar in Differential Algebra and co-organized workshops such as DART XI (2023) and the MSRI Summer School on Differential Equations (2022). Education: PhD in Mathematics, University of Heidelberg (2010), Habilitation in Mathematics, RWTH Aachen University (2015) Research Interests: Galois theory of differential equations, proalgebraic groups, difference algebraic groups, number theory, and symbolic computation Recent Activities: Organized the Algebraic Theory of Differential and Difference Equations workshop at Leeds (2024) His publications span topics like torsors under affine group schemes, regular singular differential equations, and étale difference algebraic groups, reflecting his expertise in algebraic structures and their applications to differential systems.

• Quantum Simulation
• Trapped Ion Systems
• Quantum Entanglement
• +۵ مورد دیگر

Christian Roos is an Associate Professor at the Department of Experimental Physics , University of Innsbruck, Austria. His research focuses on quantum simulation, trapped ion systems, and quantum information processing. University: University of Innsbruck Department: Experimental Physics Rank: Associate Professor Roos's work explores quantum entanglement , many-body physics , and quantum metrology using trapped ions. His recent studies address dynamical phase transitions, thermalization with noncommuting charges, and large-scale entanglement. Key trends in his publications (2023–2025) include advancements in quantum simulation platforms, correlation spectroscopy , and multiqubit-enhanced sensing . Awards and student advising details are not explicitly mentioned in the provided data.

• Quantum Information Theory
• Quantum Many-Body Systems
• Mathematical Physics
• +۲ مورد دیگر

Dr. Angela Capel Cuevas is an Assistant Professor at the University of Cambridge's Department of Applied Mathematics and Theoretical Physics since April 2024. Previously, she held a Junior Professorship (W1) at Eberhard Karls Universität Tübingen's Mathematical Physics area (2021-2024), and was an MCQST Distinguished PostDoc at Technische Universität München (2020-2021). Her research sits at the intersection of Quantum Information Theory and Quantum Many-Body Systems , focusing on quantum dissipative evolutions and their mathematical characterization through quantum functional inequalities and entropic bounds . 2023-26: CRC TRR 352 grant on "Mathematics of Many-Body Quantum Systems" (7M€) 2024-27: QuantERA project "Towards a useful quantum advantage" (TouQan, 1.25M€) Her recent work demonstrates rapid thermalization in 1D quantum systems with logarithmic time scaling and establishes exponential mutual information decay for Gibbs states. She co-organized BIRS-IMAG workshops on quantum information theory and received the Jack Keil Wolf ISIT Student Paper Award (2023). Her PhD thesis (ICMAT/Universidad Autónoma de Madrid, 2019) introduced quasi-factorization techniques for relative entropy, leading to groundbreaking results in quantum functional inequalities. 2023: Simons Emmy Noether Fellowship at Perimeter Institute 2023: Forbes 30 Under 30 Spain 2022: Vicent Caselles RSME-FBBVA Award