Staff profile

I am a Professor in the Department of Mathematical Sciences at Durham University. I studied Physics and Theoretical Physics at the University of Oxford, followed by postdoctoral positions at The Institute for Advanced Study in Princeton, Perimeter Institute for Theoretical Physics, and the University of Oxford.

My research explores mathematical structures in quantum field theory, with a particular focus on supersymmetry and generalised symmetries. I was recently awarded an ERC Consolidator grant to establish a research team dedicated developing the mathematical foundations of generalised symmetries, aiming to uncover new principles and gain fresh insights into quantum systems. Additionally, I am a member of the Simons Collaboration on Global Categorical Symmetries and previously held an EPSRC Fellowship to investigate supersymmetric field theory.

I currently serve as Deputy Director of Postgraduate Research and PhD admissions officer for the Mathematical and Theoretical Physics group in the Department of Mathematical Sciences. For information about PhD opportunities in our group please click here.

• Quantum Field Theory
• Supersymmetry
• Generalised Symmetries

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

Authored book

• 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

• Bullimore, M. (2023, June). Three-Dimensional N = 4 Gauge Theories in Omega Background. Presented at String-Math 2016, Paris, France

Journal Article

• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H.-C. (2018). Vortices and Vermas. Advances in Theoretical and Mathematical Physics, 22(4), 803-917. https://doi.org/10.4310/atmp.2018.v22.n4.a1
• Bullimore, M., Kim, H.-C., & 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
• 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
• 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
• Bullimore, M., Dimofte, T., Gaiotto, D., Hilburn, J., & Kim, H.-C. (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
• Bobev, N., Bullimore, M., & Kim, H.-C. (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
• Bullimore, M., Kim, H.-C., & 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
• Bullimore, M., & Kim, H.-C. (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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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