Momchil Konstantinov

Contact:
momchil.konstantinov.14 • ucl.ac.uk
Mathematics Department
University College London
Gower Street
London
WC1E 6BT

I recently completed my PhD at the London School of Geometry and Number Theory. I was based at UCL where my supervisor was Dr. Jonny Evans. You can find my CV here.


Research

My doctoral research was in the field of symplectic geometry. I spent most of my time thinking about the topology and intersection patterns of Lagrangian submanifolds of complex projective space. I was particularly interested in so called "twistor Lagrangians" - ones which are mapped to maximal totally complex submanifolds of quaternionic projective space under the twistor fibration. You can find out more about these in my thesis (this version of my thesis differs slightly from the official one and might change as I discover and correct typos; you can find the official version at UCL discovery).

Publications

  1. M. Konstantinov,   Remarks on monotone Lagrangians in CP3, in preparation
  2. M. Konstantinov, J. Smith,   Monotone Lagrangians in CPn of minimal Maslov number n + 1, preprint, 2018
  3. M. Konstantinov,   Higher rank local systems in Lagrangian Floer Theory, preprint, 2017
    The results of this paper have been improved and expanded upon in chapters 2 and 5 of my PhD thesis. You can also find the relevant Mathematica code here.
  4. G.Fuchsbauer, M.Konstantinov, K.Pietrzak, V.Rao,  Adaptive Security For Constrained PRF's, Advances in Cryptology – ASIACRYPT 2014 pp 82-101

Outreach

Whenever I get the time I quite like talking about maths. Below are some past activities of mine along these lines.

Some visualisations