Professor Shahn MajidProfessor of MathematicsEmail: s.majid@qmul.ac.ukTelephone: +44 (0)20 7882 5450Room Number: Mathematical Sciences Building, Room: MB-G25Website: https://webspace.maths.qmul.ac.uk/s.majid/Welcome.htmlOffice Hours: Tuesdays 10.30am-11.30pm in Academic Hub MB-403 in the maths building. I am also available on email, or on zoom by appointment. ProfilePublicationsProfileShahn Majid’s is a leading authority on algebraic methods for quantum gravity and other fields where quantum theory and geometry collide, including Hopf algebras and noncommutative geometry. He pioneered the modern approach to the quantum spacetime hypothesis, the idea that the coordinates x,y,z,t that determine where and when an event takes place are in fact elements of a quantum algebra and hence subject to quantum uncertainty, due to quantum gravity effects. This allows one to understand the nature of physics at the mysterious Planck scale as a practical alternative to so-called Theories of Everything such as string theory. His approach entails the generalisation of our very concepts of differential calculus and geometry to a suitable quantum Riemannian geometry, coming out of but not limited to the notion of quantum groups (a generalisation of the concept of symmetry that he earlier helped pioneer in the 1980s). Other examples include quantum black hole models as well as noncommutative geometry more widely. Shahn Majid is also responsible for a theory of braided algebra where algebraic expressions are wired up like in a computer (and where wires can get tangled) and is currently interested in applying the above ideas to quantum information and quantum computing. Shahn Majid is the author of 4 books. His 600 page text Foundations of Quantum Group Theory remains a bible for researchers in the field. His Quantum Groups Primer covers a lecture course from when he was in Cambridge. On Space and Time is a book of collected essays including his own and those of luminaries such as Roger Penrose and the Alain Connes. His new 2020 book, with Beggs, is an 800 page monograph Quantum Riemannian Geometry laying out the new formalism. For more details on all of the above, see his personal website https://webspace.maths.qmul.ac.uk/s.majid/Welcome.html Shahn Majid was educated with 1st degree from Cambridge, including part III of the maths tripos, and with a PhD from Harvard. After a year in Swansea, he spent ten years in Cambridge and as a Fellow of Pembroke College there, moving to Queen Mary in 1999. He was Director of Pure Mathematics 2010-13 and has been an EPSRC Postdoctoral Fellow, an EPSRC Advanced Fellow, a Royal Society University Research Fellow and a Leverhulme Senior Research Fellow. As well as regular research and teaching, Shahn Majid is joint director of the London Taught Course Centre, which provides graduate-level courses for a consortium of universities in London and beyond. See www.ltcc.ac.uk ResearchPublications Argota-Quiroz JN, Majid S (2023). Quantum Riemannian geometry of the discrete interval and q-deformation Journal of Mathematical Physics nameOfConference. 10.1063/5.0133982 qmroHref Majid S (2023). Quantum geometry of Boolean algebras and de Morgan duality Journal of Noncommutative Geometry nameOfConference. 10.4171/jncg/460 https://qmro.qmul.ac.uk/xmlui/handle/123456789/69426 Argota-Quiroz JN, Majid S (2022). Quantum gravity on finite spacetimes and dynamical mass Proceedings of Science Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity". doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/83781 Liu C, Majid S (2022). Quantum geodesics on quantum Minkowski spacetime Journal of Physics A: Mathematical and General nameOfConference. 10.1088/1751-8121/ac7593 https://qmro.qmul.ac.uk/xmlui/handle/123456789/84502 Majid S (2022). Quantum and braided ZX calculus Journal of Physics A: Mathematical and Theoretical nameOfConference. 10.1088/1751-8121/ac631f https://qmro.qmul.ac.uk/xmlui/handle/123456789/78396 Cowtan A, Majid S (2022). Quantum double aspects of surface code models Journal of Mathematical Physics nameOfConference. 10.1063/5.0063768 https://qmro.qmul.ac.uk/xmlui/handle/123456789/78397 Majid S, Lira Torres E (2022). Geometric Dirac operator on the fuzzy sphere Letters in Mathematical Physics nameOfConference. 10.1007/s11005-021-01499-7 https://qmro.qmul.ac.uk/xmlui/handle/123456789/76206 Argota-Quiroz JN, Majid S (2021). Fuzzy and discrete black hole models Classical and Quantum Gravity nameOfConference. 10.1088/1361-6382/abfea6 https://qmro.qmul.ac.uk/xmlui/handle/123456789/72186 Majid S, Lira Torres E (2021). Quantum gravity and Riemannian geometry on the fuzzy sphere Letters in Mathematical Physics nameOfConference. 10.1007/s11005-021-01359-4 https://qmro.qmul.ac.uk/xmlui/handle/123456789/70303 Majid S, Williams L (2021). Poisson principal bundles Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) nameOfConference. 10.3842/SIGMA.2021.006 https://qmro.qmul.ac.uk/xmlui/handle/123456789/70117 Majid S, Argota Quiroz J (2020). Quantum gravity on polygons and R x Z_n FLRW mode Classical and Quantum Gravity nameOfConference. 10.1088/1361-6382/abbaa8 https://qmro.qmul.ac.uk/xmlui/handle/123456789/67444 Majid S, Pachol A (2020). Digital quantum groups Journal of Mathematical Physics nameOfConference. 10.1063/5.0020958 https://qmro.qmul.ac.uk/xmlui/handle/123456789/67104 Majid S, AZIZ R (2020). Quantum differentials on cross product Hopf algebras Journal of Algebra nameOfConference. 10.1016/j.jalgebra.2020.06.024 https://qmro.qmul.ac.uk/xmlui/handle/123456789/65963 Bassett ME, Majid S (2020). Finite Noncommutative Geometries Related to Fp[x] Algebras and Representation Theory nameOfConference. 10.1007/s10468-018-09846-4 https://qmro.qmul.ac.uk/xmlui/handle/123456789/54656 Majid S, Pachoł A (2020). Digital finite quantum Riemannian geometries Journal of Physics A: Mathematical and Theoretical nameOfConference. 10.1088/1751-8121/ab1cf2 https://qmro.qmul.ac.uk/xmlui/handle/123456789/57786 Majid S (2020). Reconstruction and quantization of Riemannian structures Journal of Mathematical Physics nameOfConference. 10.1063/1.5123258 https://qmro.qmul.ac.uk/xmlui/handle/123456789/62505 Beggs EJ, Majid S (2020). Quantum Riemannian Geometry journal nameOfConference. 10.1007/978-3-030-30294-8 qmroHref Majid S (2019). Quantum gravity on a square graph Classical and Quantum Gravity nameOfConference. 10.1088/1361-6382/ab4975 https://qmro.qmul.ac.uk/xmlui/handle/123456789/60117 Majid S, Tao W-Q (2019). Generalised noncommutative geometry on finite groups and Hopf quivers Journal of Noncommutative Geometry nameOfConference. 10.4171/jncg/345 https://qmro.qmul.ac.uk/xmlui/handle/123456789/36407 Majid S (2019). Quantum Riemannian geometry and particle creation on the integer line Classical and Quantum Gravity nameOfConference. 10.1088/1361-6382/ab2424 https://qmro.qmul.ac.uk/xmlui/handle/123456789/57788 Aziz R, Majid S (2019). Co-double bosonisation and dual bases of cq[SL2] and cq[SL3] Journal of Algebra nameOfConference. 10.1016/j.jalgebra.2018.09.034 https://qmro.qmul.ac.uk/xmlui/handle/123456789/45744 Akylzhanov R, Majid S, Ruzhansky M (2018). Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups Communications in Mathematical Physics nameOfConference. 10.1007/s00220-018-3219-4 https://qmro.qmul.ac.uk/xmlui/handle/123456789/39786 MAJID SH (2018). On the Emergence of the Structure of Physics Philosophical Transactions A: Mathematical, Physical and Engineering Sciences nameOfConference. 10.1098/rsta.2017.0231 https://qmro.qmul.ac.uk/xmlui/handle/123456789/36207 MAJID SH, PACHOL A (2018). Classification of digital affine noncommutative geometries Journal of Mathematical Physics nameOfConference. 10.1063/1.5025815 https://qmro.qmul.ac.uk/xmlui/handle/123456789/36296 MAJID SH, WILLIAMS L (2018). Quantum Koszul formula on quantum spacetime Journal of Geometry and Physics nameOfConference. 10.1016/j.geomphys.2018.02.012 https://qmro.qmul.ac.uk/xmlui/handle/123456789/36209 MAJID SH, Osei P (2018). Quasitriangular structure and twisting of the 3D bicrossproduct model Journal of High Energy Physics nameOfConference. 10.1007/JHEP01(2018)147 https://qmro.qmul.ac.uk/xmlui/handle/123456789/32330 MAJID SH, Beggs EJ (2017). Quantum Bianchi identities via DG categories Journal of Geometry and Physics nameOfConference. 10.1016/j.geomphys.2017.11.005 https://qmro.qmul.ac.uk/xmlui/handle/123456789/28960 MAJID SH, Beggs EJ (2017). Spectral triples from bimodule connections and Chern connections Journal of Noncommutative Geometry nameOfConference. 10.4171/JNCG/11-2-7 https://qmro.qmul.ac.uk/xmlui/handle/123456789/15041 Fritz C, Majid S (2017). Noncommutative spherically symmetric spacetimes at semiclassical order Classical and Quantum Gravity nameOfConference. 10.1088/1361-6382/aa72a5 https://qmro.qmul.ac.uk/xmlui/handle/123456789/24660 MAJID SH (2017). Quantum Riemannian geometry of phase space and nonassociativity Demonstratio Mathematica nameOfConference. 10.1515/dema-2017-0009 https://qmro.qmul.ac.uk/xmlui/handle/123456789/17793 MAJID SH (2017). Hodge Star as Braided Fourier Transform Algebras and Representation Theory nameOfConference. 10.1007/s10468-016-9661-0 https://qmro.qmul.ac.uk/xmlui/handle/123456789/17781 MAJID SH, Lopez Pena J, Rietsch K (2017). Lie theory of finite simple groups and Roth property Cambridge Philosophical Society: Mathematical Proceedings nameOfConference. 10.1017/s030500411600102x https://qmro.qmul.ac.uk/xmlui/handle/123456789/18001 MAJID SH, Beggs EJ (2016). Poisson-Riemannian geometry Journal of Geometry and Physics nameOfConference. 10.1016/j.geomphys.2016.12.012 https://qmro.qmul.ac.uk/xmlui/handle/123456789/18458 Majid S (2016). Non-commutative Differential Geometry journal nameOfConference. 10.1142/9781786341006_0005 qmroHref Majid S, Tao W-Q (publicationYear). Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras Pacific Journal of Mathematics nameOfConference. 10.2140/pjm.2016.284.213 https://qmro.qmul.ac.uk/xmlui/handle/123456789/12484 Majid S, Tao WQ (2015). Duality for generalised differentials on quantum groups Journal of Algebra nameOfConference. 10.1016/j.jalgebra.2015.03.023 https://qmro.qmul.ac.uk/xmlui/handle/123456789/31972 Majid S, Tao WQ (2015). Cosmological constant from quantum spacetime Physical Review D - Particles, Fields, Gravitation and Cosmology nameOfConference. 10.1103/PhysRevD.91.124028 https://qmro.qmul.ac.uk/xmlui/handle/123456789/7960 MAJID SH (2014). The self-representing Universe journal nameOfConference. doi https://qmro.qmul.ac.uk/xmlui/handle/123456789/12064 Beggs EJ, Majid S (2014). Gravity induced from quantum spacetime CLASSICAL AND QUANTUM GRAVITY nameOfConference. 10.1088/0264-9381/31/3/035020 https://qmro.qmul.ac.uk/xmlui/handle/123456789/8149 Majid S (2014). Emergence of Riemannian geometry and the massive graviton 2ND INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS nameOfConference. 10.1051/epjconf/20147100080 qmroHref Majid S (2014). Newtonian gravity on quantum spacetime 1ST INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS nameOfConference. 10.1051/epjconf/20147000082 qmroHref Majid S, Rietsch K (2013). Lie theory and coverings of finite groups JOURNAL OF ALGEBRA nameOfConference. 10.1016/j.jalgebra.2013.02.042 qmroHref Majid S (2013). Noncommutative Riemannian geometry on graphs JOURNAL OF GEOMETRY AND PHYSICS nameOfConference. 10.1016/j.geomphys.2013.02.004 qmroHref Majid S (2012). Almost Commutative Riemannian Geometry: Wave Operators COMMUNICATIONS IN MATHEMATICAL PHYSICS nameOfConference. 10.1007/s00220-012-1416-0 qmroHref Majid S (2012). Emergence of Wave Equations from Quantum Geometry SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012 nameOfConference. 10.1063/1.4756969 qmroHref Majid S (2011). q-Fuzzy Spheres and Quantum Differentials on B-q[SU2] and U-q(su(2)) LETTERS IN MATHEMATICAL PHYSICS nameOfConference. 10.1007/s11005-011-0523-8 qmroHref Gateva-Ivanova T, Majid S (2011). Quantum Spaces Associated to Multipermutation Solutions of Level Two ALGEBR REPRESENT TH nameOfConference. 10.1007/s10468-009-9192-z qmroHref Beggs EJ, Majid S (2011). *-compatible connections in noncommutative Riemannian geometry J GEOM PHYS nameOfConference. 10.1016/j.geomphys.2010.09.002 qmroHref TOMASIC I, Majid S (2011). On braided zeta functions Bull. Math. Sci. nameOfConference. 10.1007/s13373-011-0006-3 qmroHref Majid S (2011). Scaling Limit of the Noncommutative Black Hole GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS nameOfConference. 10.1088/1742-6596/284/1/012003 qmroHref Beggs E, Majid S (2010). Nonassociative Riemannian geometry by twisting Journal of Physics Conference Series nameOfConference. 10.1088/1742-6596/254/1/012002 qmroHref Klim J, Majid S (2010). Hopf quasigroups and the algebraic 7-sphere J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2010.03.011 qmroHref Beggs EJ, Majid S (2010). Quantization by cochain twists and nonassociative differentials J MATH PHYS nameOfConference. 10.1063/1.3371677 qmroHref Majid S, Schroers BJ (2009). q-deformation and semidualization in 3D quantum gravity J PHYS A-MATH THEOR nameOfConference. 10.1088/1751-8113/42/42/425402 qmroHref Beggs EJ, Majid S (2009). Bar Categories and Star Operations ALGEBRAS AND REPRESENTATION THEORY nameOfConference. 10.1007/s10468-009-9141-x qmroHref Brain SJ, Majid S (2008). Quantisation of Twistor Theory by Cocycle Twist COMMUN MATH PHYS nameOfConference. 10.1007/s00220-008-0607-1 qmroHref Freidel L, Majid S (2008). Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity CLASSICAL QUANT GRAV nameOfConference. 10.1088/0264-9381/25/4/045006 qmroHref Gateva-Ivanova T, Majid S (2008). Matched pairs approach to set theoretic solutions of the Yang-Baxter equation J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2007.10.035 qmroHref Gateva-Ivanova T, Majid S (2007). Set-theoretic solutions of the Yang-Baxter equation, graphs and computations JOURNAL OF SYMBOLIC COMPUTATION nameOfConference. 10.1016/j.jsc.2007.06.007 qmroHref Hadfield T, Majid S (2007). Bicrossproduct approach to the Connes-Moscovici Hopf algebra J ALGEBRA nameOfConference. 10.1016/j.jalgebra.2006.09.031 qmroHref Majid S (2007). Algebraic approach to quantum gravity III: Non-commmutative riemannian geometry Quantum Gravity: Mathematical Models and Experimental Bounds nameOfConference. 10.1007/978-3-7643-7978-0_5 qmroHref Beggs EJ, Majid S (2006). Semiclassical differential structures PAC J MATH nameOfConference. 10.2140/pjm.2006.224.1 qmroHref Majid S (2006). Bicrossproduct Hopf Algebras and Noncommutative Spacetime journal nameOfConference. 10.1016/b0-12-512666-2/00029-8 qmroHref Majid S (2006). Hopf Algebras and q-Deformation Quantum Groups journal nameOfConference. 10.1016/b0-12-512666-2/00028-6 qmroHref MAJID SH (2006). What is a quantum group journal nameOfConference. doi qmroHref Majid S (2005). Gauge theory on nonassociative spaces J MATH PHYS nameOfConference. 10.1063/1.2084747 qmroHref Majid S (2005). Noncommutative model with spontaneous time generation and Planckian bound J MATH PHYS nameOfConference. 10.1063/1.2084748 qmroHref Majid S (2005). Noncommutative Riemannian and spin geometry of the standard q-sphere COMMUN MATH PHYS nameOfConference. 10.1007/s00220-005-1295-8 qmroHref MAJID SH (2005). Classification of differentials on quantum doubles and finite noncommutative geometry journal nameOfConference. doi qmroHref Majid S (2005). Noncommutative differentials and Yang-Mills on permutation groups S-n journal nameOfConference. doi qmroHref Majid S, Raineri E (2004). Moduli of quantum Riemannian geometries on <= 4 points J MATH PHYS nameOfConference. 10.1063/1.1804231 qmroHref Ngakeu F, Majid S, Ezin JP (2004). Cartan calculus for quantum differentials on bicrossproducts ACTA APPL MATH nameOfConference. 10.1007/s10440-004-5592-6 qmroHref Akrami SE, Majid S (2004). Braided cyclic cocycles and nonassociative geometry J MATH PHYS nameOfConference. 10.1063/1.1787621 qmroHref Goldin GA, Majid S (2004). On the Fock space for nonrelativistic anyon fields and braided tensor products J MATH PHYS nameOfConference. 10.1063/1.1787620 qmroHref Majid S (2004). Special issue: Quantum groups and noncommutative geometry - Introduction J MATH PHYS nameOfConference. 10.1063/1.1787622 qmroHref MAJID SH, Akrami SE (2004). Braided cyclic cocycles and nonassociative geometry J. Math. Phys. nameOfConference. 10.1063/1.1787621 qmroHref Majid S (2004). Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING nameOfConference. doi qmroHref Gomez X, Majid S (2003). Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras J ALGEBRA nameOfConference. 10.1016/S0021-8693(02)00580-X qmroHref Cameron PJ, Majid S (2003). Braided line and counting fixed points of GL(d, F-q) COMMUN ALGEBRA nameOfConference. 10.1081/AGB-120018519 qmroHref Batista E, Majid S (2003). Noncommutative geometry of angular momentum space U(su(2)) J MATH PHYS nameOfConference. 10.1063/1.1517395 qmroHref Batista E, Majid S (2003). Noncommutative geometry on the algebra U(su2) and quantization of coadjoint orbits GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES nameOfConference. doi qmroHref Majid S (2003). Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity LETT MATH PHYS nameOfConference. 10.1023/A:1022980227093 qmroHref MAJID SH, GOMEZ X (2003). Relating quantum and braided Lie algebras journal nameOfConference. doi qmroHref Majid S, Raineri E (2002). Electromagnetism and gauge theory on the permutation group S-3 J GEOM PHYS nameOfConference. 10.1016/S0393-0440(02)00052-9 qmroHref Majid S, Schucker T (2002). Z(2) x Z(2) lattice as a Connes-Lott-quantum group model J GEOM PHYS nameOfConference. 10.1016/S0393-0440(02)00005-0 qmroHref Majid S (2002). Knots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press). The Mathematical Gazette nameOfConference. 10.2307/3621922 qmroHref Albuquerque H, Majid S (2002). Clifford algebras obtained by twisting of group algebras J PURE APPL ALGEBRA nameOfConference. 10.1016/S0022-4049(01)00124-4 qmroHref Ngakeu F, Majid S, Lambert D (2002). Noncommutative Riemannian geometry of the alternating group A(4) J GEOM PHYS nameOfConference. 10.1016/S0393-0440(01)00089-4 qmroHref Gomez X, Majid S (2002). Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity LETT MATH PHYS nameOfConference. 10.1023/A:1016287607529 qmroHref MAJID SH (2002). A Quantum Groups Primer journal nameOfConference. 10.2277/0521010411 qmroHref Majid S (2002). Riemannian geometry of quantum groups and finite groups with nonuniversal differentials COMMUN MATH PHYS nameOfConference. 10.1007/s002201000564 qmroHref Beggs EJ, Majid S (2001). Poisson-Lie T-duality for quasitriangular Lie bialgebras COMMUN MATH PHYS nameOfConference. 10.1007/s002200100463 qmroHref MAJID SH (2001). Noncommutative differential geometry and twisting of quantum groups journal nameOfConference. doi qmroHref