Photo of Lotte Hollands
  • EH14 4AS

    United Kingdom

Accepting PhD Students

PhD projects

PhD positions might be available for excellent students. Ideas for possible PhD projects may be found at http://www.maxwell.ac.uk/graduate-school/structure-and-symmetry.

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20082020

Research output per year

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Personal profile

Research interests

My research is on the interface of quantum physics and mathematics. On the physics side it involves questions from gauge theory and string theory. On the mathematics side there are often deep relations to geometry, topology and algebra.

At the moment I am working on the construction of supersymmetric partition functions for N=2 quantum field theories and their relation to various structures on the moduli space of flat connections on a Riemann surface, such as spectral networks and opers. 

 

Biography

After obtaining my PhD degree in 2009 with Prof Robbert Dijkgraaf, I obtained a Rubicon fellowship to work with Prof Sergei Gukov at Caltech. My son Tristan was born in Oxford in 2011. In 2013 I obtained a Royal Society Dorothy Hodgkin fellowship as well as a Royal Society Research Grant at the University of Oxford. My daughter Nora was born in Oxford in 2014. In 2016 we moved to Edinburgh, where I took the position of Assistant Professor at Heriot-Watt University.   

Roles & Responsibilities

I am supervising two DPhil students: Omar Kidwai at the University of Oxford and Philipp Rueter at Heriot-Watt University.

I am the Director of Educational Outreach, organising amongst others the Mathematics Masterclasses, the Scottish Mathematical Challenge and an LMS Girls in Maths event in 2018.

 

 

External positions

University of Oxford

Mar 2013Sep 2016

California Institute of Technology

Sep 2009Mar 2013

University of Amsterdam

Nov 2004Sep 2009

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Research Output

BPS states in the Minahan-Nemeschansky E7 theory

Hao, Q., Hollands, L. & Neitzke, A., 18 Feb 2020, (Accepted/In press) In : Journal of High Energy Physics.

Research output: Contribution to journalArticle

BPS states in the Minahan-Nemeschansky E7 theory

Hao, Q., Hollands, L. & Neitzke, A., 7 Apr 2020, In : Journal of High Energy Physics. 2020, 4, 39.

Research output: Contribution to journalArticle

Open Access
File
  • 3 Downloads (Pure)

    Exact WKB and abelianization for the T3 equation

    Hollands, L. & Neitzke, A., 13 Oct 2020, In : Communications in Mathematical Physics.

    Research output: Contribution to journalArticle

    Open Access
  • Higher length-twist coordinates, generalized Heun's opers, and twisted superpotentials

    Hollands, L. & Kidwai, O., 18 Jun 2019, In : Advances in Theoretical and Mathematical Physics. 22, 7, p. 1713–1822 110 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 29 Downloads (Pure)

    BPS states in the Minahan-Nemeschansky E6 theory

    Hollands, L. & Neitzke, A., Jul 2017, In : Communications in Mathematical Physics. 353, 1, p. 317–351 35 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 6 Citations (Scopus)
    40 Downloads (Pure)