• DPhil Mathematics, Oxford, 'Post-quantum cryptography', 2017-Present. Supervisors: Dr. Ali Kaafarani, Prof. Liqun Chen.
  • MSc Mathematics, Royal Holloway University of London, 'Mathematics for communications and cryptography', 2016-17.
  • MSci Mathematics, University College London (UCL),  2012-2016. 


Patrick Hough, A lower bound for biases amongst products of two primes. Research in Number Theory, 3(1):19, Sep 2017. Link

Research Interests

I'm interested in lattice-based anonymous digital signatures for implementation in a TPM chip whose aim is to bring quantum-resistant cryptography to all devices containing them. 

More broadly I am interested in lattice-based cryptography and the development of privacy enhancing technologies for use in the post-quantum era. 

Upcoming Travel

16th-17th Nov 2017, monthly lattice and crypto meeting, ENS Lyon, France.

21st-22nd Dec, 2017, monthly lattice and crypto meeting, ENS Lyon, France.

29th April-3rd May, 2018, Eurocrypt 2018, Tel Aviv, Israel.  

May-July, 2018, IBM Research, Zurich.