Staff profile

I am Professor of Mathematical Sciences at Durham University. I studied for an MPhys and DPhil in Theoretical Physics at the University of Oxford, before holding postdoctoral positions at the Institute for Advanced Study (Princeton), Perimeter Institute (Waterloo), and the University of Oxford.

My research focuses on the mathematical structures underlying quantum field theory. I currently lead an ERC Consolidator grant developing the mathematical foundations of generalised symmetries, aiming to uncover new principles and deepen our understanding of quantum systems. I am also a member of the Simons Collaboration on Global Categorical Symmetries, and I previously held an EPSRC Fellowship to study aspects of supersymmetric quantum field theory.

My full publication record is available on INSPIRE.

• Quantum Field Theory
• Supersymmetry
• Generalised Symmetries

• 2025 - 2030: ERC Consolidator Grant:
• 2021 - 2025: Simons Collaboration on Global Categorical Symmetries:
• 2020: Fellow of Higher Education Academy:
• 2019 - 2024: EPSRC Fellowship:

Authored book

• Scattering Amplitudes and Wilson Loops in Twistor Space
  
  Bullimore, M. R. (2014). Scattering Amplitudes and Wilson Loops in Twistor Space. Springer Verlag. https://doi.org/10.1007/978-3-319-00909-4

Conference Paper

• Three-Dimensional N = 4 Gauge Theories in Omega Background
  
  Bullimore, M. (2018). Three-Dimensional N = 4 Gauge Theories in Omega Background. In A. Kashani-Poor, R. Minasian, N. Nekrasov, & B. Pioline (Eds.), String-Math 2016 : June 27-July 2, 2016, Collège de France, Paris, France. (pp. 1-20). American Mathematical Society.

Journal Article

• Non-invertible symmetries and higher representation theory II
  
  Bartsch, T., Bullimore, M., Ferrari, A. E. V., & Pearson, J. (2024). Non-invertible symmetries and higher representation theory II. SciPost Physics, 17(2), Article 067. https://doi.org/10.21468/scipostphys.17.2.067
• Non-invertible symmetries and higher representation theory I
  
  Bartsch, T., Bullimore, M., Ferrari, A. E. V., & Pearson, J. (2024). Non-invertible symmetries and higher representation theory I. SciPost Physics, 17(1), Article 015. https://doi.org/10.21468/scipostphys.17.1.015
• Generalized symmetries and anomalies of 3d N = 4 SCFTs
  
  Bhardwaj, L., Bullimore, M., Ferrari, A. E. V., & Schäfer-Nameki, S. (2024). Generalized symmetries and anomalies of 3d N = 4 SCFTs. SciPost Physics, 16(3), Article 080. https://doi.org/10.21468/scipostphys.16.3.080
• Anomalies of generalized symmetries from solitonic defects
  
  Bhardwaj, L., Bullimore, M., Ferrari, A. E. V., & Schäfer-Nameki, S. (2024). Anomalies of generalized symmetries from solitonic defects. SciPost Physics, 16, Article 087. https://doi.org/10.21468/scipostphys.16.3.087
• 3d N = 4 Gauge Theories on an Elliptic Curve
  
  Bullimore, M., & Zhang, D. (2022). 3d N = 4 Gauge Theories on an Elliptic Curve. SciPost Physics, 13(1), Article 005. https://doi.org/10.21468/scipostphys.13.1.005
• The 3d twisted index and wall-crossing
  
  Bullimore, M., Ferrari, A., & Kim, H. (2022). The 3d twisted index and wall-crossing. SciPost Physics., 12(6), Article 186. https://doi.org/10.21468/scipostphys.12.6.186
• The twisted index and topological saddles
  
  Bullimore, M., Ferrari, A. E., Kim, H., & Xu, G. (2022). The twisted index and topological saddles. Journal of High Energy Physics, 2022(5), Article 116. https://doi.org/10.1007/jhep05%282022%29116
• Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface
  
  Bullimore, M., Ferrari, A., & Kim, H. (2022). Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface. SciPost Physics, 12(2), Article 072. https://doi.org/10.21468/scipostphys.12.2.072
• Boundaries, Vermas and factorisation
  
  Bullimore, M., Crew, S., & Zhang, D. (2021). Boundaries, Vermas and factorisation. Journal of High Energy Physics, 2021(4), Article 263. https://doi.org/10.1007/jhep04%282021%29263
• Secondary products in supersymmetric field theory
  
  Beem, C., Ben-Zvi, D., Bullimore, M., Dimofte, T., & Neitzke, A. (2020). Secondary products in supersymmetric field theory. Annales Henri Poincaré, 21(4), 1235-1310. https://doi.org/10.1007/s00023-020-00888-3
• Twisted indices of 3d N = 4 gauge theories and enumerative geometry of quasi-maps
  
  Bullimore, M., Ferrari, A., & Kim, H. (2019). Twisted indices of 3d N = 4 gauge theories and enumerative geometry of quasi-maps. Journal of High Energy Physics, 2019(7), Article 14. https://doi.org/10.1007/jhep07%282019%29014
• Twisted Hilbert spaces of 3d supersymmetric gauge theories
  
  Bullimore, M., & Ferrari, A. (2018). Twisted Hilbert spaces of 3d supersymmetric gauge theories. Journal of High Energy Physics, 2018(08), Article 018. https://doi.org/10.1007/jhep08%282018%29018
• Vortices and Vermas
  
  Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H. (2018). Vortices and Vermas. Advances in Theoretical and Mathematical Physics, 22(4), 803-917. https://doi.org/10.4310/atmp.2018.v22.n4.a1
• Expanding the Bethe/Gauge dictionary
  
  Bullimore, M., Kim, H., & Lukowski, T. (2017). Expanding the Bethe/Gauge dictionary. Journal of High Energy Physics, 2017(11), Article 055. https://doi.org/10.1007/jhep11%282017%29055
• The Coulomb Branch of 3d N=4 Theories
  
  Bullimore, M., Dimofte, T., & Gaiotto, D. (2017). The Coulomb Branch of 3d N=4 Theories. Communications in Mathematical Physics, 354(2), 671-751. https://doi.org/10.1007/s00220-017-2903-0
• Refined 3d-3d correspondence
  
  Alday, L. F., Genolini, P. B., Bullimore, M., & van Loon, M. (2017). Refined 3d-3d correspondence. Journal of High Energy Physics, 2017(4), Article 170. https://doi.org/10.1007/jhep04%282017%29170
• Boundaries, Mirror Symmetry, and Symplectic Duality in 3d N=4 Gauge Theory
  
  Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H. (2016). Boundaries, Mirror Symmetry, and Symplectic Duality in 3d N=4 Gauge Theory. Journal of High Energy Physics, 2016(10), Article 108. https://doi.org/10.1007/jhep10%282016%29108
• Supersymmetric Casimir energy and the anomaly polynomial
  
  Bobev, N., Bullimore, M., & Kim, H. (2015). Supersymmetric Casimir energy and the anomaly polynomial. Journal of High Energy Physics, 2015(09), Article 142. https://doi.org/10.1007/jhep09%282015%29142
• Defects and quantum Seiberg-Witten geometry
  
  Bullimore, M., Kim, H., & Koroteev, P. (2015). Defects and quantum Seiberg-Witten geometry. Journal of High Energy Physics, 2015(05), Article 095. https://doi.org/10.1007/jhep05%282015%29095
• The superconformal index of the (2,0) theory with defects
  
  Bullimore, M., & Kim, H. (2015). The superconformal index of the (2,0) theory with defects. Journal of High Energy Physics, 2015(05), Article 048. https://doi.org/10.1007/jhep05%282015%29048
• Defect networks and supersymmetric loop operators
  
  Bullimore, M. (2015). Defect networks and supersymmetric loop operators. Journal of High Energy Physics, 2015(2), Article 066. https://doi.org/10.1007/jhep02%282015%29066
• The superconformal index and an elliptic algebra of surface defects
  
  Bullimore, M., Fluder, M., Hollands, L., & Richmond, P. (2014). The superconformal index and an elliptic algebra of surface defects. Journal of High Energy Physics, 2014(10), Article 062. https://doi.org/10.1007/jhep10%282014%29062
• Surface defects, the superconformal index and q-deformed Yang-Mills
  
  Alday, L. F., Bullimore, M., Fluder, M., & Hollands, L. (2013). Surface defects, the superconformal index and q-deformed Yang-Mills. Journal of High Energy Physics, 2013(10), Article 018. https://doi.org/10.1007/jhep10%282013%29018
• On S-duality of the superconformal index on lens spaces and 2d TQFT
  
  Alday, L. F., Bullimore, M., & Fluder, M. (2013). On S-duality of the superconformal index on lens spaces and 2d TQFT. Journal of High Energy Physics, 2013(05), Article 122. https://doi.org/10.1007/jhep05%282013%29122
• Scattering amplitudes and Wilson loops in twistor space
  
  Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). Scattering amplitudes and Wilson loops in twistor space. Journal of Physics A: Mathematical and Theoretical, 44(45), Article 454008. https://doi.org/10.1088/1751-8113/44/45/454008
• MHV diagrams from an all-loop recursion relation
  
  Bullimore, M. (2011). MHV diagrams from an all-loop recursion relation. Journal of High Energy Physics, 2011(08), Article 107. https://doi.org/10.1007/jhep08%282011%29107
• A proof of the correlation function/supersymmetric Wilson loop correspondence
  
  Adamo, T., Bullimore, M., Mason, L., & Skinner, D. (2011). A proof of the correlation function/supersymmetric Wilson loop correspondence. Journal of High Energy Physics, 2011(08), Article 076. https://doi.org/10.1007/jhep08%282011%29076
• Inverse soft factors and grassmannian residues
  
  Bullimore, M. (2011). Inverse soft factors and grassmannian residues. Journal of High Energy Physics, 2011(01), Article 055. https://doi.org/10.1007/jhep01%282011%29055
• MHV diagrams in momentum twistor space
  
  Bullimore, M., Mason, L., & Skinner, D. (2010). MHV diagrams in momentum twistor space. Journal of High Energy Physics, 2010(12), Article 032. https://doi.org/10.1007/jhep12%282010%29032
• Kinetic mixing of U(1)’s for local string models
  
  Bullimore, M., Conlon, J. P., & Witkowski, L. T. (2010). Kinetic mixing of U(1)’s for local string models. Journal of High Energy Physics, 2010(11), Article 142. https://doi.org/10.1007/jhep11%282010%29142
• Twistor-strings, Grassmannians and leading singularities
  
  Bullimore, M., Mason, L., & Skinner, D. (2010). Twistor-strings, Grassmannians and leading singularities. Journal of High Energy Physics, 2010(03), Article 070. https://doi.org/10.1007/jhep03%282010%29070