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PhD in Mathematics - Mathematical Physics and Quantum Information

University of York

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Course options

  • Qualification

    PhD/DPhil - Doctor of Philosophy

  • Location

    University of York

  • Study mode

    Full time

  • Start date

    27-SEP-21

  • Duration

    Variable - to suit the learner

Course summary

Our research covers many areas of classical and quantum physics.

Much of our research involves a distinctive blend of physical theory and sophisticated mathematical structures drawn particularly from algebra and analysis.

Application areas

Quantum gravitation

We research various aspects of quantum gravity and allied areas of mathematical physics, including quantum mechanics and classical general relativity.

Quantum information and foundations

Our research in quantum information and foundations spans a range of topics from the abstract to the concrete.

On the one hand we are working towards a deeper understanding of the puzzling features of quantum theory such as indeterminacy, entanglement and non-locality. On the other, we are exploiting these fundamental ideas for information-processing tasks such as quantum cryptography and quantum computing.

Algebraic quantum field theory

Our research covers algebraic quantum field theory (AQFT) in both flat and curved spacetimes.

We explore new constructions of quantum field theory (QFT) in low dimensions that have recently come out of the AQFT programme. We also have research interests in new mathematical frameworks for perturbative constructions of interacting theories.

Quantum integrability

Integrable models are systems in quantum physics which can be solved exactly because they have many conserved quantities and therefore a high degree of symmetry.

These integrable models appear in many guises: field theories, spin chains, models of statistical mechanics and models of a fixed number of interacting particles. They can also be subsumed into models with even more symmetry, such as conformal field theories and 'super integrable' models, including the harmonic oscillator, the Kepler system in Newtonian gravity and the hydrogen atom.

Tuition fees

Students living in United States
(international fees)

£ 17,750per year

Tuition fees shown are for indicative purposes and may vary. Please check with the institution for most up to date details.

University information

University of York

  • University League Table

    18th

  • Campus address

    University of York, Heslington, York, York, YO10 5DD, England

Inspiring teaching delivered by leading academics, integrated with award-winning employability programmes, equips students for the international labour market.
A diverse campus community of students from over 150 countries that offers a lifelong global alumni network.
Specialist international student support includes orientation, immigration advice, Language Skills Centres, and International Pathway College programmes.

Subject rankings

  • Subject ranking

    28th out of 72 2

    21st out of 50

  • Entry standards

    / Max 236
    149 62%

    28th

    2
  • Graduate prospects

    / Max 100
    82 82%

    26th

    12
  • Student satisfaction

    / Max 5
    4.07 81%

    29th

    13
  • Entry standards

    / Max 240
    152 67%

    24th

    1
  • Graduate prospects

    / Max 100
    92 92%

    9th

    3
  • Student satisfaction

    / Max 5
    4.15 83%

    21st

    6

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