Photo of Lotte Hollands

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20082019
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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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  • 3 Similar Profiles
gauge theory Physics & Astronomy
surface defects Physics & Astronomy
instantons Physics & Astronomy
counting Physics & Astronomy
algebra Physics & Astronomy
curves Physics & Astronomy
string theory Physics & Astronomy
strings Physics & Astronomy

Co Author Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2008 2019

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
Twist
Generating Function
WKB Method
Analogue
Exact Method

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
electromagnetism
space charge
rays
purity
fine structure

Spectral Networks and Fenchel–Nielsen Coordinates

Hollands, L. & Neitzke, A., Jun 2016, In : Letters in Mathematical Physics. 106, 6, p. 811-877 67 p.

Research output: Contribution to journalArticle

Open Access
File
Modulus
Equivariant
Moduli Space
Triangulation
Covering

The superconformal index and an elliptic algebra of surface defects

Hollands, L., Bullimore, M., Fluder, M. & Richmond, P., Oct 2014, In : Journal of High Energy Physics. 2014, 62

Research output: Contribution to journalArticle

Open Access
File
surface defects
algebra
operators
embedding
domain wall

Surface defects, the superconformal index, and q-deformed Yang-Mills

Alday, L. F., Bullimore, M., Fluder, M. & Hollands, L., 2 Oct 2013, In : Journal of High Energy Physics. 10, 018, 19 p.

Research output: Contribution to journalArticle

Open Access
surface defects
dictionaries
correlators