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Joseph Tooby-Smith next to a waterfall.

Dr Joseph Tooby-Smith

Postdoctoral Associate in the high-energy theory group at Cornell University.

 My legal name is: Joseph Smith.


 Useful links to some of my profiles:

Research Interests (summary)

My current research interest lies in generalized symmetries and topological field theories. In the past I have worked on phenomenology projects, and projects relating to gauge extensions of the standard model.

If you think you have any overlap with my work, and would like to talk or collaborate feel free to get in touch.   

Academic history

High School


York 6th College 

As-level: Biology A. 

A-level: Physics A*, Maths A*, Further Maths A*, Additional Further Maths A*, Chemistry A*. (see here)

Oxford University, Christ Church College

MMathPhys (with initial three years on MPhys): Distinction/First Class (double classification)





Cambridge University, Robinson College and Cavendish Laboratory 

Doctor of Philosophy (PhD): Arithmetical, geometrical, and categorical forays into particle physics.



Cornell University

Hans Bethe Postdoctoral Associate in the high-energy theory group in the Cornell Laboratory for Accelerator-based Sciences and Education (CLASSE)

Joseph Tooby-Smith reading his thesis

Recorded seminars


Quantum mechanics in magnetic backgrounds with manifest symmetry and locality


Davighi, J., Gripaios, B.,  and Tooby-Smith, J.,

Solving local anomaly equations in gauge-rank extensions of the standard model

Allanach, B., Gripaios, B.,  and Tooby-Smith, J.


Geometric General Solution to the U(1) Anomaly Equations

Allanach, B., Gripaios, B.,  and Tooby-Smith, J.



Supersoft Top Squarks

Cohen, T., Craig, N., Koren, S., McCullough, M., and Tooby-Smith, J.


Anomaly cancellation with an extra gauge boson

Allanach, B., Gripaios, B.,  and Tooby-Smith, J.



Undulating Dark Matter

Davighi, J., McCullough, M., and Tooby-Smith, J.




(I have both hep-ph and hep-th)


Faculty-independent papers

(I can work independently of supervision, and can hit the ground running)



(I've worked with a wide range of people, from phenomenologists to pure mathematicians.)

Semisimple extensions of the Standard Model gauge algebra

Allanach, B., Gripaios, B.,  and Tooby-Smith, J.


Inverse Higgs phenomena as duals of holonomic constraints

Gripaios, B., and Tooby-Smith, J.,


A nu Supersymmetric Anomaly-free Atlas

Allanach, B., Madigan, M., and Tooby-Smith, J.



Electroweak flavour unification

Davighi, J., and Tooby-Smith,J.


Flatland: abelian extensions of the Standard Model with semi-simple completions 

Davighi, J., and Tooby-Smith,J.


Generalized symmetries of topological field theories


Gripaios, B., Randal-Williams, O., and Tooby-Smith, J.


Higgs Squared


Csaki, C., Ismail, A., Ruhdorfer,M., and Tooby-Smith, J.

Prizes and awards

Principal's Prize

York College

Collections Prize

Christ Church College Oxford


Prize for the Best Results on the Oxford MMathPhys

Oxford University


Roach Prize

Christ Church College Oxford

“This prize is awarded to the most outstanding undergraduate across the following branches of Science: Mathematics, Biochemistry, Earth Sciences, Engineering, Physics, Materials Science and Biological Science. The most outstanding undergraduate will normally be the person placed proportionately highest in an appropriate Honour School (including in a joint School with Philosophy).”


Christ Church College, Oxford


The Scott Prize for best performance in the MPhys Part B examination 

Oxford University

Honorary Vice-Chancellor’s Award

Cambridge University

The Scott Prize for performance in the Physics Part A examination

Oxford University

Clifford Smith Prize

Christ Church College Oxford
2016/2017 (awarded 2018)


Hooke Prize

Christ Church College Oxford

​“This prize is awarded to the most outstanding undergraduate Member of the House [Christ Church College] who achieves the highest mark in the following Honour Schools collectively: Mathematics, Molecular and Cellular Biochemistry, Chemistry, Engineering, Physics and Materials Science.”


  • 2016: Undertook a teaching module as part of my undergraduate.

  • 2018 & 2020: Demonstrator for theoretical physics part I (Department of Physics, Cambridge)

  • 2019 & 2020: Supervisor for Gauge Field Theory (Department of Physics, Cambridge)

  • 2019: Supervisor for Quantum Field Theory (DAMTP, Cambridge)

  • 2020: Supervisor for `Symmetries, Fields and Particles’ (DAMTP, Cambridge)

Public Engagement

  • 2016-2018: Oxfords Hands on Science (OxHOS) roadshows and committee member (2017)

  • 2017-2018: Oxford Physics department and Christ Church college open days

  • 2017: Volunteered at Stargazing Oxford event

  • 2019: Volunteered at Cambridge Science Festival

  • 2019: Helped out at Cambridge HEP master classes

Joseph Tooby-Smith running.

Personal bests:

1:59.4 (800m), 3:59.40 (1500m), 8:39.6 (3000m), 9:59.49 (3000m Steeple chase), 15:08.92 (5000m), 30:01 (10k)

Athletic achivements

  • 2019: 3rd team at National 6-stage road relays with Cambridge and Coleridge AC

  • 2019: 2nd team at National Cross Country relays with Cambridge and Coleridge AC

  • 2019: 1st in both the Oxford and Cambridge Town and Gown 10k

  • 2019: Represented Cambridgeshire in track-and-field

  • 2019: 2nd Individual in Oxford Vs Cambridge Blues varsity cross country, and team win

  • 2020: 30th Individual in National Cross Country Championships

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