PhD candidate

Andries Salm

I am a PhD candidate under the supervision of Lorenzo Foscolo.
My research focuses on manifolds with special holonomy, but in my free time I like to play with computers.

About Me

  • Department: Mathematics
  • University: University College London
  • Address: 25 Gordon Street London
  • Email: willem.salm.19@ucl.ac.uk

My research interest

I am a PhD student in the mathematical physics group at UCL under the supervision of Lorenzo Foscolo. My research focuses on manifolds with special holonomy and the creation of them. I have a MSc degree in Theoretical Physics and a MSc degree in Mathematics from Utrecht University. There I wrote my Master's project on the Atiyah-Singer index theorem for Dirac operators and its application to chiral anomalies in Particles physics.

Other interests

In my free-time I like to tinker with computers and electronics. For example, I disassembled a computer screen and I added a one-way mirror in front of it. Using a Raspberry Py mini computer I displayed in this mirror a clock and news feed. I can manage my mirror with an app over the whole world and all the animations are hardware accelerated. For new and weird ideas I am always open for a chat.

"Differential geometry is the study of properties that are invariant under change of notation" (Lie 2013)

Resume

Education

  • 2018-2022

    PhD Candidate

    University College London

    The overall aim of my project is the development of constructions of complete non-compact manifolds with special holonomy and non-maximal volume growth and a thorough study of their geometry. My supervisor is Dr. Lorenzo Foscolo

  • 2015-2018

    Master Mathematical Sciences

    Master Theoretical physics

    Utrecht University

    In my thesis I reviewed the topological properties of the index of a Dirac operator, i.e. I showed that the dimension of the kernel and co-kernel are related to the Â-genus of the manifold. In this proof I related Analysis, Geometry and Algebraic topology. At the same time I applied Fujikawa's method on spin ½-particles and show that the classical chiral conservation, do not necessarily hold in quantum field theory. Both proof are remarkably similar and hence its makes a bridge between mathematics and physics.

    Average: 7.92 of 10, Honours program
  • 2012-2015

    Bachelor Mathematics

    Bachelor Physics

    Utrecht University

    In this thesis I proved a relation between the curvature of a surface and the number of holes in that surface, i.e. the Euler characteristic. Hence I showed a relation between the local differential properties and the global topological properties of a surface.

    Average: 8.34 of 10, Cum Laude

Experience

  • 2010-2018

    Software Developer

    Minded B.V.

    Digitaal Kantoor is an online accounting program for medium and small businesses. As software engineer I applied my skills of problem solving and analytic thinking to create multiple API implementations in websites and apps.

  • 2010-2018

    Owner

    Artists in Science

    Artists in Science was a start-up with its main product ’slimsporen’. It was based on a research project about car-navigation I did during high school. I developed an app that could calculate the most economical way to travel using public transport.

Research

image

Master Thesis

image

Bachelor Thesis

image

Presentation Holonomy

image

Form Online

Teaching

There are currently no courses that I teach.

Get in touch

Send me a message
UCL Mathematics Department 25 Gordon Street
London, WC1H 0AY