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Tom GannonView profile

Adjunct Assistant Professor

• Geometric Representation Theory
• Algebraic Geometry
• Langlands Program
• +3 more

Tom Gannon is a Hedrick Assistant Adjunct Professor at the University of California, Los Angeles (UCLA), and will join UC Riverside as an Assistant Professor in July. He earned his PhD in 2022 from the University of Texas at Austin under Sam Raskin. His research focuses on geometric representation theory, with strong connections to algebraic geometry, the Langlands program, homotopy theory, and mathematical physics. Gannon also serves as Deputy Director of the UCLA Olga Radko Endowed Math Circle, promoting mathematics education. Education: PhD in Mathematics (2022), University of Texas at Austin. Research Interests: Geometric representation theory, Langlands program, algebraic geometry, mathematical physics, categorical methods in representation theory, and homotopy-theoretic approaches to algebraic structures. His work often bridges abstract algebra with geometric techniques, emphasizing categorification and applications to quantum field theories. Teaching & Outreach: In 2017, Gannon led a summer mini-course on algebraic number theory at UT Austin, focusing on separable field extensions, Galois theory, and modules over PIDs. He has authored expository articles in the Notices of the AMS and contributed regularly to the AMS Graduate Student Blog. His teaching materials include courses on representation theory of Lie algebras and algebraic number theory. Labs/Teams: Active collaborator with researchers such as Harold Williams and Ben Webster. Engaged in projects with Victor Ginzburg on central D-modules and quantized Coulomb branches.

Per BäckView profile

Associate Professor

• Nonassociative Ring Theory
• Noncommutative Algebra
• Group-Graded Rings
• +3 more

Per Bäck is an Associate Professor (Docent) of Mathematics at Mälardalen University, affiliated with the School of Education, Culture and Communication and the Division of Mathematics and Physics. He holds a PhD in Mathematics (completed 2022), alongside Master's degrees in Mathematics and Engineering Physics/Electrical Engineering from Linköping University, with additional studies in Chinese and Japanese. His research focuses on nonassociative and noncommutative ring theory, particularly group-graded rings, skew group rings, crossed products, filtered rings like Ore extensions, nonassociative division algebras, and generalizations of Lie algebras. As a co-advisor, he guides doctoral student Tianqi Liu and serves as Program Coordinator for the BSc Program in Engineering Mathematics. He also represents MDU in the Swedish Mathematical Society. His academic contributions span advanced algebraic structures, with recent work emphasizing hom-associative Weyl algebras, non-associative Ore extensions, and deformation theories. Key research themes include exploring non-associative analogs of classical algebraic concepts, structural properties of graded rings, and applications of algebraic methods in geometric contexts. Recent publications reflect interdisciplinary connections between abstract algebra and mathematical physics.

Christopher Stephen DoddView profile

Assistant Professor

• Algebraic Geometry
• Arithmetic Geometry
• D-modules
• +1 more

Christopher Stephen Dodd serves as an Assistant Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign, with his office located at 361 Altgeld Hall, MC-382, 1409 W. Green Street, Urbana, IL 61801. He maintains an active research profile while teaching within the mathematics department. Dr. Dodd earned his PhD from the Massachusetts Institute of Technology (MIT) in 2011, establishing his foundation in advanced mathematical research. His academic trajectory has centered on bridging theoretical frameworks in pure mathematics with practical computational applications. His research program spans Algebraic Geometry, Arithmetic Geometry, D-modules, and Geometric Representation Theory, with increasing emphasis on positive characteristic and p-adic techniques. These interconnected fields examine the structural relationships between algebraic equations and geometric spaces, revealing deep connections to mathematical physics and number theory through sophisticated categorical frameworks. Analysis of his publication history since 2010 shows consistent contributions to symplectic geometry, representation theory, and ergodic systems. His work demonstrates methodological innovation in handling Lagrangian skeleta, Hodge modules, and W-algebras, while maintaining rigorous theoretical standards across diverse mathematical subdisciplines. No scientific awards or honors are documented in the available profile information. Details regarding graduate student mentorship, research grants, or external funding sources are not provided in the current institutional documentation.

Ian GrojnowskiView profile

Professor

• Representation Theory
• Reductive Groups
• Algebraic Geometry
• +2 more

Professor Ian Grojnowski is a distinguished mathematician affiliated with the University of Cambridge , serving in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) . His research spans representation theory, algebraic geometry, and connections to mathematical physics. University: University of Cambridge Department: Pure Mathematics and Mathematical Statistics Academic Rank: Professor of Representation Theory Research Group: Algebraic Geometry Contact: Room E1.03 | Telephone: 01223 337930 | Personal Homepage Research Interests: Grojnowski's work focuses on the interplay between representation theory of reductive groups, algebraic geometry (particularly Hilbert schemes and Springer fibres), and infinite-dimensional Lie algebras. His recent publications highlight applications to equivariant cohomology theories and geometric constructions in quantum group representations. Publications Overview: His research output covers foundational topics in affine Hecke algebras, canonical bases for quantized groups, and geometric methods in representation theory. Notable themes include the Calogero-Sutherland system, loop Grassmannians, and elliptic cohomology with applications to symmetries in quantum mechanics. Scientific Recognition: 2004 Prizewinner - Bulletin of the London Mathematical Society As a member of the Algebraic Geometry research group, Grojnowski contributes to collaborative projects and mentoring in advanced mathematical research.

Ory SchnitzerView profile

Associate Professor

• Applied Mathematics
• Asymptotic Analysis
• Fluid Dynamics
• +5 more

Dr. Ory Schnitzer is an Associate Professor in Applied Mathematics at Imperial College London's Department of Mathematics , within the Faculty of Natural Sciences. His research focuses on mathematical modeling, asymptotic analysis, and singular perturbation techniques applied to fluid dynamics, transport phenomena, and wave phenomena. He offers PhD projects in these areas and has contributed to understanding complex systems such as electrohydrodynamic instabilities, plasmonic resonances in nanomaterials, and superhydrophobic surface dynamics. Education & Affiliations: PhD (implied by academic rank) Affiliations: Applied Mathematics and Mathematical Physics; Fluid Dynamics Research Interests: Mathematical modeling of multiphase systems (e.g., droplets, bubbles) Asymptotic methods for singular perturbation problems Electrokinetic and thermocapillary phenomena Plasmonic resonances in nanostructures Superhydrophobic surfaces and slip flow Recent Article Trends: Recent work explores finite-time singularities in electrohydrodynamics, spontaneous locomotion of microswimmers, and plasmonic resonances in slender nanostructures. These studies bridge applied mathematics with fluid mechanics and nanophotonics, emphasizing analytical solutions and asymptotic approaches. Awards: 2024 John Ockendon Prize for outstanding contributions to applied mathematics Grants & Labs: Active in collaborative projects with researchers like E. Yariv and R. Brandão. Research funded through Imperial College's Department of Mathematics and UK-based grants. His work often involves experimental validation and industry partnerships in nanotechnology and fluid dynamics.

Joakim ArnlindView profile

Professor

• Non-commutative Geometry
• Algebraic Geometry
• Riemannian Geometry
• +5 more

Joakim Arnlind is a Professor and Head of the Department of Mathematics at Linköping University, Faculty of Science and Engineering. He is affiliated with the division of Algebra, Geometry and Discrete Mathematics (ALGD), where he leads research in non-commutative and algebraic geometry. Research Interests: His work centers on algebraic aspects of geometry, particularly non-commutative Riemannian geometry, Poisson algebras, and the geometric interpretation of operator-valued functions. He investigates how classical geometric concepts can be generalized to noncommutative algebras, with applications in mathematical physics and quantum geometry. Publication Trends: His recent publications (2020–2024) focus on Levi-Civita connections in noncommutative settings, quantum spheres, Kronecker algebras, and fuzzy spaces. The research emphasizes derivation-based calculi, metric compatibility, and the construction of geometric structures on noncommutative manifolds, reflecting a deep engagement with both algebraic and differential frameworks. Scientific Awards: No awards explicitly mentioned in the provided text. Advising and Grants: Joakim Arnlind is the main supervisor for PhD students Axel Tiger Norkvist and Kwalombota Ilwale. He leads the Noncommutative Riemannian Geometry research group and is involved in organizing academic workshops, such as the Workshop in Algebra and Noncommutative Geometry. While specific grants are not listed, his sustained publication output and leadership roles indicate active research funding and mentorship. Labs and Teams: He leads the research group focused on Noncommutative Riemannian Geometry, exploring metric aspects such as connections and curvature using twisted derivation-based calculi. He is also part of the broader ALGD division, which includes researchers in algebra, geometry, combinatorics, and topology.

• Differential Geometry
• Geometry of PDEs
• Contact Geometry
• +7 more

Giovanni Manno is a Full Professor in the Department of Mathematical Sciences (DISMA) at the Polytechnic University of Turin, where he also serves as Vice Coordinator of the College of Mathematical Engineering. His research lies at the intersection of differential geometry and the geometric theory of partial differential equations, with a strong focus on contact and symplectic structures, Monge-Ampère equations, and integrable systems. Position: Full Professor (L. 240) Institution: Polytechnic University of Turin Department: Department of Mathematical Sciences (DISMA) Email: giovanni.manno@polito.it His research interests include differential geometry, geometry of PDEs, contact geometry of PDEs, Monge-Ampère equations on contact manifolds, and metrics admitting geodesic symmetries. These areas are deeply interconnected, focusing on the geometric structures underlying differential equations and their symmetries. The recent publications (2023–2025) reflect a consistent trend in geometric analysis of PDEs, particularly exploring c-projective and projective symmetries in Kähler and Riemannian geometries, moment maps in symplectic Monge-Ampère theory, and invariant PDEs on hypersurfaces. These works demonstrate advanced techniques in Lie symmetry analysis, geometric structures, and integrability. His scientific awards include: INdAM Fellowship (Marie Skłodowska-Curie cofunded), 2012 MIUR "Future in Research", 2013 University of Padua Young Scholars Funding, 2013 INdAM Project on Projective Connections and Integrable Systems, 2018 He has been actively involved in academic service, serving on the editorial boards of Mathematical Seminar Reports and Banach Center Publications , and participating in the organizing and scientific committees of international conferences such as the Geometry of Lagrangian Grassmannians and Nonlinear PDEs. He has held a fixed-term Senior Researcher position at the National Institute of Higher Mathematics "Francesco Severi" (2014). Manno has taught in PhD programs at both the Polytechnic University of Turin and the University of Turin, and regularly teaches advanced and foundational courses such as Differential Manifolds and Tensors, Projective Differential Geometry, and Linear Algebra and Geometry across aerospace and computer science engineering programs. He is a member of the research group Functional Analysis and Differential Geometry (DISMA) and contributes to the Geometry of PDEs research area.

• Mathematical Analysis
• Partial Differential Equations
• Quantum Theory
• +3 more

Miguel Ángel Navarro Burgos is a Researcher at the University of Granada, affiliated with the Department of Statistics, Mathematical Analysis and Optimization within the Faculty of Mathematics. His primary research focuses on Nonlinear Differential Equations, Mathematical Analysis, and Quantum Theory. He obtained his PhD in 2016 with a thesis on the stability of solutions of semilinear elliptic equations, supervised by Dr. Salvador Villegas Barranco. His work spans over 27 publications since 1992, covering areas like Partial Differential Equations, Functional Analysis, and Relativity. Key contributions include studies on semistable radial solutions, group quantization methods, and operator theory in von Neumann algebras. He is part of the EDNL research group (Nonlinear Differential Equations) and has collaborated with notable researchers such as Víctor Aldaya and Manuel Calixto.

Peter SchuppView profile

Professor

• Mathematical Physics
• Theoretical Physics
• Classical and Quantum Gravity
• +7 more

Peter Schupp is a full Professor of Physics in the School of Science at Constructor University in Bremen, Germany, a position he has held since 2002. He previously served as visiting fellow and lecturer at Princeton University (1997-1999) and as assistant professor at the University of Munich (1994-1997, 1999-2002). His office is located in Research III, Room 65 on the Constructor campus. Education: PhD (Physics), University of California at Berkeley, 1990–1993 MSc (Physics), California Institute of Technology, 1989–1990 Vordiplom (Physics), University of Heidelberg, 1986–1989 Habilitation, University of Munich, 2001 Research Interests span a broad range of topics in mathematical and theoretical physics, including: Classical and quantum gravity Quantum field theory and string theory Generalized, graded and non-commutative geometry Coherent states, entropy and quantum information Non-geometric fluxes and nonassociative structures Cosmological data analysis (CMB anisotropy & non-Gaussianity) His publications reveal a steady focus on non-commutative and nonassociative extensions of geometry and gravity, as well as their implications for quantum field theory and cosmology. Recent work couples sophisticated algebraic techniques (graded Poisson algebras, Hopf algebras) to concrete physical problems such as CMB entropy measures and axion-gravity interactions. Scientific Awards & Fellowships : Heisenberg Fellowship, Deutsche Forschungsgemeinschaft (DFG), 2002 Studienstiftung des deutschen Volkes, 1986–1992 Max-Kade-Foundation Fellow, 1997–1998 Theodore S. Brown & Edith N. Brown Fellowship / Ephraim Weiss Scholarship, 1991–1992 Dora Garibaldi Scholarship, 1990–1991 Earl C. Anthony Fellowship, Caltech, 1989–1990 University Fellow, Renker GmbH & Co. KG, 1989–1991 International Physics Olympiad Silver Medal (Portorož 1985, 7th overall) International Physics Olympiad Bronze Medal (London 1986) Contact & Collaboration : Prof. Schupp welcomes inquiries at pschupp@constructor.university or by phone at +49 421 200-3224. While the text does not list specific PhD advisees, his long tenure and extensive publication record indicate active supervision of graduate researchers in theoretical and mathematical physics.

Sid MaibachView profile

Researcher

• Constructive approaches to 2D conformal field theory (CFT)
• Segal's axioms / functorial CFT
• Geometry of the Virasoro algebra
• +5 more

Sid Maibach is a PhD researcher at the Institute of Applied Mathematics of the University of Bonn , advised by Eveliina Peltola. His work bridges mathematical physics and probability theory with a focus on conformal field theory (CFT) and geometric quantization. Research interests include constructive approaches to 2D CFT, Segal's axioms, Virasoro algebra geometry, and Schramm-Loewner evolution (SLE) measures. Selected publications analyze Loewner potentials and the role of conformal anomalies in CFT formulations. He has presented at international workshops (e.g., Oberwolfach, SwissMAP) and seminars on topics like random conformal geometry and modular functors. Email: maibach@uni-bonn.de

• Mathematics
• Computer Science
• Representation Theory
• +7 more

Alexander L Dvorsky is an Associate Professor at the Department of Mathematics, College of Arts and Sciences, University of Miami, with research spanning representation theory, Lie algebras, and deformation quantization. Research Interests: Representation theory of classical and infinite-dimensional Lie groups Deformation quantization and invariant distributions Algebraic geometry in homogeneous spaces Key Contributions: His work includes decomposition of tensor products of minimal representations of orthogonal groups, studies on Kontsevich quantization, and analysis of parabolic subalgebras.

• Theoretical Physics
• Quantum Field Theory
• String Theory
• +5 more

Davide Gaiotto serves as an Adjunct Assistant Professor in the Department of Physics & Astronomy within the Faculty of Science at McMaster University. His extensive scholarly activity spans over two decades with numerous publications in high-impact theoretical physics journals. His research focuses on the deep connections between quantum field theory, string theory, and advanced mathematical structures. Key areas include supersymmetric gauge theories (particularly N=2 and N=4), geometric Langlands program, holography, vertex operator algebras, and topological aspects of quantum field theories. His work often reveals profound mathematical structures underlying physical phenomena, bridging theoretical physics with pure mathematics. Analysis of his recent publications (2023-2025) shows continued exploration of quantum analytic Langlands correspondence, twisted holography, and the interplay between gauge theories and mathematical structures. His work demonstrates remarkable consistency in addressing fundamental questions at the physics-mathematics interface while maintaining technical rigor. Gaiotto has received significant scholarly attention with publications referenced across multiple platforms including Wikipedia pages, academic social networks, and research databases. His work shows strong interdisciplinary impact across theoretical physics and mathematics. His scholarly network includes collaborations across the theoretical physics community, with publications showing connections to leading researchers in mathematical physics and string theory. While specific grant information isn't provided in the text, the volume and quality of publications suggest sustained research support.

Thomas VillmannView profile

Professor

• Computational Intelligence
• Machine Learning
• Vector Quantization
• +7 more

Thomas Villmann is a Professor of Computational Intelligence and Techno-Mathematics at Mittweida University of Applied Sciences in Germany. He serves as Deputy Spokesperson for the Mathematics Department, AI Coordinator at the university, Director of the Saxon Institute for Computational Intelligence and Machine Learning (SICIM), and President of the German Chapter of the European Neural Network Society (GNNS). His academic credentials include the German 'Dr. rer. nat. habil.' designation, indicating both doctoral and habilitation qualifications in natural sciences. Professor Villmann's research focuses on computational intelligence with particular emphasis on vector quantization, learning vector quantization, neural networks, and interpretable machine learning. His work spans theoretical developments in mathematical foundations of machine learning algorithms as well as practical applications in bioinformatics, remote sensing, medical diagnostics, and autonomous systems. He has developed mathematically sound methods for data-based analysis (clustering), decision support systems, data-based prediction models, and visualization of complex data. His recent publication record demonstrates a strong trend toward interpretable and explainable AI, with emphasis on vector quantization techniques applied across diverse domains including medical diagnostics (particularly breast cancer detection), fairness in machine learning, satellite remote sensing, and autonomous vehicle systems. Villmann's work consistently bridges theoretical mathematics with practical applications, maintaining a focus on making machine learning models more transparent, reliable, and ethically sound. As Director of SICIM and leader of the Computational Intelligence Research Group, Professor Villmann oversees an integrated research ecosystem focused on problem-oriented intelligent data analysis. His institutes aim to stimulate interest in computational intelligence among students and young researchers while supporting public institutions, authorities, and companies in data analysis both regionally and internationally. His leadership extends to organizing academic events and workshops, including serving as president of the German Chapter of the European Neural Network Society.

• Mathematical Physics
• Quantum Field Theory
• Algebraic Geometry
• +3 more

Qin LI is an Associate Researcher at the Institute for Quantum Sciences, Southern University of Science and Technology. He holds a Ph.D. in Mathematics from the University of California at Berkeley (2011) and has previously served as an Assistant Professor at the University of Science and Technology of China (2011-2015) and Southern University of Science and Technology's Department of Mathematics (2015-2021). His academic career has focused on mathematical physics and quantum field theory. Education: B.S. in Mathematics (University of Science and Technology of China, 2005), Ph.D. in Mathematics (University of California at Berkeley, 2011) Qin LI's research explores the mathematical foundations of quantum field theory, including quantization techniques, topological sigma models, and algebraic structures in quantum geometry. His work bridges differential geometry, algebraic geometry, and theoretical physics, with a focus on Kähler manifolds, Chern-Simons theory, and BV quantization frameworks. The 10 most recent publications highlight advancements in Bargmann-Fock sheaves, deformation quantization, and L∞ structures on Kähler manifolds. Key themes include topological quantum field theory, Calabi-Yau geometry, and algebraic approaches to quantization, with applications to Rozansky-Witten models and Berezin-Toeplitz quantization representations. His current affiliation with the Institute for Quantum Sciences at Southern University of Science and Technology underscores his specialization in mathematical quantum physics. His academic trajectory reflects a progression from pure mathematics (postdoctoral studies at CUHK) to interdisciplinary quantum sciences research.

• Integrable Systems
• Differential Geometry
• Quantization of Hamiltonian Systems
• +3 more

Giulio Landolfi is an Associate Professor at the Department of Mathematics and Physics "Ennio De Giorgi" within the University of Salento. His research focuses on integrable systems, differential geometry, and the quantization of Hamiltonian systems, with significant contributions to field theory in curved spacetime. Teaching: He teaches "Physics of Complex Systems" (Master's Degree in Physics) since academic year 2020/2021, covering nonlinear dynamics, solitons, and inverse scattering methods. Research: His work spans integrable surfaces, quantum effects in cosmology, and symmetry analysis of nonlinear field equations, often employing advanced mathematical techniques. Publications: Landolfi's research includes studies on the Canham-Helfrich model, spectral problems in quantum mechanics, and generalized van der Waals systems, reflecting interdisciplinary applications of integrable systems and differential geometry. Contact: Office in the Fiorini Building, Room M45, Lecce. Email: giulio.landolfi@unisalento.it .