Trosolwg
Mae fy ymchwil rhywle ym maes Algebra, Cyfrifiadureg, Geometreg a Ffiseg Ddadansoddol. Rwy’n gyffredinolwr yn hytrach nag arbenigwr, ac yn ddigon hapus ar y rhyngwyneb rhwng meysydd pwnc gwahanol. Gallwch weld fy mhapurau yn Google scholar.
Dr Edwin Beggs
Darllenydd,
Mathematics
311
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae
Trydydd Llawr
Y Ffowndri Gyfrifiadol
Campws y Bae
Ar gael ar gyfer Goruchwyliaeth Ôl-raddedig
Meysydd Arbenigedd
- Algebra
- Geometreg Ddifferol
- Geometreg Anghymudol
- Solitonau a systemau integradwy
- Ffiseg Ddamcaniaethol
- Natur gyfrifiadwy systemau ffisegol
- Damcaniaeth mesuriadau
Uchafbwyntiau Gyrfa
Ymchwil
Yn 2020, fe wnaeth Shahn Majid a minnau gyhoeddi llyfr Quantum Riemannian geometry in Grundlehren, cyfres lyfrau gyntaf Springer mewn mathemateg uwch, a sefydlwyd ym 1920.
Dolen i wefan Springer: https://www.springer.com/gp/book/9783030302931
Cyhoeddiadau
Uchafbwyntiau Ymchwil
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Beggs, E. & Tucker, J. (n.d.) The dynamics of belief: continuously monitoring and visualising complex systems. arXiv
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Beggs, E. & Majid, S. (2023). Quantum geodesic flows and curvature. Letters in Mathematical Physics, 113(3)
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Beggs, E. & Majid, S. (2024). Quantum geodesics in quantum mechanics. Journal of Mathematical Physics, 65(1)
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Cobley, R., Beggs, E., Crooks, E., Palmer, R., & Tucker, J. (2022). WORKSHOP REPORT: MASI Agenda Setting Workshop on Unconventional and Natural Computing
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Alhamzi, G. & Beggs, E. (2023). Differentiating the State Evaluation Map from Matrices to Functions on Projective Space. Symmetry, 15(2), 474
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Beggs, E. & Tucker, J. (2022). A model of systems with modes and mode transitions. Journal of Logical and Algebraic Methods in Programming, 127, 100774
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Alhamzi, G., Arabia), ., & Beggs, E. (2022). The Exponential Map for Hopf Algebras. Symmetry, Integrability and Geometry: Methods and Applications, 18(2022)
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Beggs, E. (2020). Noncommutative geodesics and the KSGNS construction. Journal of Geometry and Physics, 158, 103851
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Tucker, J., Beggs, E., Cortez, P., & Costa, F. (2018). Classifying the computational power of stochastic physical oracles. International Journal of Unconventional Computing, 14(1), 59-90.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43498
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Beggs, E., Costa, J., Loff, B., Tucker, J., Beggs, E., & Tucker, J. (2009). Computational complexity with experiments as oracles. II. Upper bounds. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2105), 1453-1465.
Holl Ymchwil
Erthyglau Cylchgronau
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Beggs, E. & Majid, S. (2024). Quantum geodesics in quantum mechanics. Journal of Mathematical Physics, 65(1)
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Beggs, E. & Majid, S. (2023). Quantum geodesic flows and curvature. Letters in Mathematical Physics, 113(3)
-
Alhamzi, G. & Beggs, E. (2023). Differentiating the State Evaluation Map from Matrices to Functions on Projective Space. Symmetry, 15(2), 474
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Beggs, E. & Tucker, J. (2022). A model of systems with modes and mode transitions. Journal of Logical and Algebraic Methods in Programming, 127, 100774
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Alhamzi, G., Arabia), ., & Beggs, E. (2022). The Exponential Map for Hopf Algebras. Symmetry, Integrability and Geometry: Methods and Applications, 18(2022)
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Beggs, E. (2020). Noncommutative geodesics and the KSGNS construction. Journal of Geometry and Physics, 158, 103851
-
Tucker, J., Beggs, E., Cortez, P., & Costa, F. (2018). Classifying the computational power of stochastic physical oracles. International Journal of Unconventional Computing, 14(1), 59-90.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa43498
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Beggs, E. & Majid, S. (2018). Quantum bianchi identities via DG categories. Journal of Geometry and Physics, 124, 350-370.
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Beggs, E. & Majid, S. (2017). Spectral triples from bimodule connections and Chern connections. Journal of Noncommutative Geometry, 11(2), 669-701.
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Beggs, E. & Majid, S. (2017). Quantum Riemannian geometry of phase space and nonassociativity. Demonstratio Mathematica
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Beggs, E. & Majid, S. (2016). Poisson-Riemannian geometry. Journal of Geometry and Physics, 114
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Beggs, E., COSTA, J., POÇAS, D., & Tucker, J. (2016). Computations with oracles that measure vanishing quantities. Mathematical Structures in Computer Science, 1-49.
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Beggs, E. & Beggs, E. (2015). Differential and holomorphic differential operators on noncommutative algebras. Russian Journal of Mathematical Physics, 22(3), 279-300.
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Beggs, E., Brzeziński, T., & Brzezinski, T. (2014). Line bundles and the Thom construction in noncommutative geometry. Journal of Noncommutative Geometry, 8(1), 61-105.
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Beggs, E., COSTA, J., POÇAS, D., & Tucker, J. (2014). AN ANALOGUE-DIGITAL CHURCH-TURING THESIS. International Journal of Foundations of Computer Science, 25(04), 373-389.
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Costa, F., Beggs, E., & Tucker, J. (2014). Three forms of physical measurement and their computability. The Review of Symbolic Logic, 7(4), 618-646.
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Beggs, E., Brzeziński, T., Beggs, E., & Brzezinski, T. (2014). Noncommutative differential operators, Sobolev spaces and the centre of a category. Journal of Pure and Applied Algebra, 218(1), 1-17.
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Beggs, E. & Majid, S. (2014). Gravity induced from quantum spacetime. Classical and Quantum Gravity, 31(3), 035020
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Beggs, E. & Paul Smith, S. (2013). Non-commutative complex differential geometry. Journal of Geometry and Physics, 72, 7-33.
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Beggs, E., Majid, S., & Beggs, E. (2011). * -compatible connections in noncommutative Riemannian geometry. Journal of Geometry and Physics, 61(1), 95-124.
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Beggs, E., Costa, J., & Tucker, J. (2010). Physical Oracles: The Turing Machine and the Wheatstone Bridge. Studia Logica
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Beggs, E. & Majid, S. (2010). Nonassociative Riemannian geometry by twisting. Journal of Physics: Conference Series, 254, 012002
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Beggs, E., COSTA, J., & Tucker, J. (2010). Limits to measurement in experiments governed by algorithms. Mathematical Structures in Computer Science, 20(06), 1019-1050.
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Beggs, E., Majid, S., & Beggs, E. (2010). Quantization by cochain twists and nonassociative differentials. Journal of Mathematical Physics, 51(5), 053522
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Beggs, E., Costa, J., Loff, B., Tucker, J., Beggs, E., & Tucker, J. (2009). Computational complexity with experiments as oracles. II. Upper bounds. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2105), 1453-1465.
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Beggs, E., Majid, S., & Beggs, E. (2009). Bar Categories and Star Operations. Algebras and Representation Theory, 12(2-5), 103-152.
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Beggs, E., Tucker, J., Beggs, E., & Tucker, J. (2009). Computations via Newtonian and relativistic kinematic systems. Applied Mathematics and Computation, 215(4), 1311-1322.
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Beggs, E., Costa, J., & Tucker, J. (2009). Physical experiments as oracles. Bull. Eur. Assoc. Theor. Comput. Sci. EATCS, 97, 137-151.SU Repository: https://cronfa.swan.ac.uk/Record/cronfa7935
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Beggs, E., Costa, J., Loff, B., & Tucker, J. (2008). Computational complexity with experiments as oracles. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 464(2098), 2777-2801.
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Beggs, E., Brzeziński, T., & Brzezinski, T. (2008). An Explicit Formula for a Strong Connection. Applied Categorical Structures, 16(1-2), 57-63.
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Beggs, E., Taft, E., & Beggs, E. (2006). Products of linear maps on bialgebras, with applications to left Hopf algebras and Hopf algebroids. , 3511-3523.
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Beggs, E., Brzeziński, T., & Brzezinski, T. (2005). The serre spectral sequence of a noncommutative fibration for de Rham cohomology. Acta Mathematica, 195(2), 155-196.
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Beggs, E. (2003). Making non-trivially associated tensor categories from left coset representatives. Journal of Pure and Applied Algebra, 177(1), 5-41.
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Beggs, E. & Tucker, J. (n.d.) The dynamics of belief: continuously monitoring and visualising complex systems. arXiv
Penodau Llyfrau
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Beggs, E., Cortez, P., Costa, F., & Tucker, J. (2017). A hierarchy for BPP//log* based on counting calls to an oracle. Emergent Computation (pp. 39-56). Springer
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Ambaram, T., Beggs, E., Costa, J., Poças, D., & Tucker, J. (2016). An Analogue-Digital Model of Computation: Turing Machines with Physical Oracles. Emergence, Complexity and Computation (pp. 73-115). Springer International Publishing
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Beggs, E., Costa, J., & Tucker, J. (2009). Computational Models of Measurement and Hempel’s Axiomatization. Causality, Meaningful Complexity and Embodied Cognition (pp. 155-183).
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Beggs, E., Costa, J., Loff, B., & Tucker, J. (2008). On the Complexity of Measurement in Classical Physics. Theory and Applications of Models of Computation (pp. 20-30).
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Beggs, E., Tucker, J., & Beggs, E. (2008). Programming Experimental Procedures for Newtonian Kinematic Machines. Logic and Theory of Algorithms (pp. 52-66).
Cynnyrch Ymchwil Arall
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Cobley, R., Beggs, E., Crooks, E., Palmer, R., & Tucker, J. (2022). WORKSHOP REPORT: MASI Agenda Setting Workshop on Unconventional and Natural Computing
Goruchwyliaeth
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Topological Data Analysis applications to confinement in Yang-Mills theory (cyfredol)
PhDGoruchwyliwr arall: Prof Jeffrey GiansiracusaGoruchwyliwr arall: Prof Biagio Lucini -
Singular DP-reduction and minimal unsatisfiability in boolean and non-boolean clause-sets«br /»«br /»«br /»«br /» (cyfredol)
PhDGoruchwyliwr arall: Dr Oliver Kullmann -
Rational enriched motivic spaces (dyfarnwyd 2023)
PhDGoruchwyliwr arall: Prof Grigory Garkusha -
Submanifolds, Fibre Bundles, and Cofibrations in Noncommutative Differential Geometry (cyfredol)
PhDGoruchwyliwr arall: Prof Tomasz Brzezinski -
Computable Analysis and Game Theory: From Foundations to Applications (cyfredol)
PhDGoruchwyliwr arall: Dr Arno Pauly -
Higher rank tropicalisation (cyfredol)
PhDGoruchwyliwr arall: Dr Nelly VillamizarGoruchwyliwr arall: Prof Jeffrey GiansiracusaGoruchwyliwr arall: Prof Tomasz Brzezinski -
Generalisations of Tropical Geometry over Hyperfields. (dyfarnwyd 2022)
PhDGoruchwyliwr arall: Prof Tomasz BrzezinskiGoruchwyliwr arall: Prof Jeffrey Giansiracusa -
Theorising monitoring: general models and access control (cyfredol)
MScGoruchwyliwr arall: Prof John Tucker
Modiwlau a Addysgir
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MA-111 Foundations of Algebra
An introduction to logic and algebraic structures. The course covers the basics of logic, proof and algebraic manipulation before introducing the abstract algebra of groups, rings and fields.
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MA-212 Groups and Rings
This course approaches the theory of groups and rings as abstract algebraic objects.
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MA-282 Game Theory and Optimization
Game theory is about strategies for making decisions, in cases where there are two or more players. The complication is that the possible choices for the other players may influence a particular player's choice of strategy. Economics has many examples of the application of game theory, but it has also been applied to areas as diverse as global politics (e.g. the Cuban missile crisis) and evolutionary biology (e.g. the hawks and doves game). Optimisation is about finding the optimum strategy (e.g. maximising profit for a company) by maximising or minimising a function in a specified domain. Again it has applications in economics, but it has also been used in engineering design (e.g. genetic algorithms were used to design the superconducting magnets in the CERN particle accelerator) and molecular biology (modelling shapes of molecules by minimising energy).
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MAW111 Sylfeini Algebra
Cyflwyniad i strwythurau rhesymegol ac algebraidd. Mae'r cwrs hwn yn ystyried sylfeini rhesymeg, prawf a thrin algebraidd cyn cyflwyno yr algebra haniaethol o grwpiau, cylchoedd a meysydd.
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MAW212 Grwpiau a Chylchoedd
Mae'r cwrs hwn yn ystyried theori grwpiau a chylchoedd fel gwrthrychau algebraidd haniaethol.