Hello! I am a Lecturer in the School of Mathematical Sciences at Queen Mary University of London.


I work in algebraic geometry. My research focuses on moduli spaces and enumerative invariants, employing techniques arising from logarithmic and tropical geometry.


I received my PhD from Imperial College in 2018. I then held postdoctoral positions in Glasgow and Cambridge, before starting at Queen Mary in September 2022.

Cat Rust is a PhD student working with me. Our wider research group at Queen Mary meets weekly.


MB-B27
n dot nabijou at qmul dot ac dot uk
curriculum vitae
he/him | pronouncing my name
I firmly support Ardila's axioms

News

Publications

Keywords: algebraic curves, moduli spaces, Gromov-Witten theory, logarithmic geometry, tropical geometry, orbifolds.

16) Logarithmic negative tangency and root stacks
with Luca Battistella and Dhruv Ranganathan
[arxiv:2402.08014]

15) Gromov-Witten theory of bicyclic pairs
with Michel van Garrel and Yannik Schuler
[arxiv:2310.06058]

14) Toric configuration spaces: the bipermutahedron and beyond
[arxiv:2306.03215]

13) Universality for tropical and logarithmic maps
with Gabriel Corrigan and Dan Simms
[arxiv:2211.15719] [video] [slides]

12) Divisors and curves on logarithmic mapping spaces
with Patrick Kennedy-Hunt, Qaasim Shafi, and Wanlong Zheng
[arxiv:2209.00630]

11) Tropical expansions and toric variety bundles
with Francesca Carocci
[arxiv:2207.12541]

10) Gromov-Witten theory via roots and logarithms
        with Luca Battistella and Dhruv Ranganathan
Geometry & Topology, to appear
[arxiv:2203.17224] [video] [slides]

9) GV and GW invariants via the enhanced movable cone
with Michael Wemyss
Moduli, to appear
[arxiv:2109.13289] [video] [slides]

8) Rubber tori in the boundary of expanded stable maps
with Francesca Carocci
Journal of the London Mathematical Society, vol. 109, no. 3 (2024)
[arxiv:2109.07512] [journal] [video] [slides]

7) The local-orbifold correspondence for simple normal crossings pairs
with Luca Battistella, Hsian-Hua Tseng, and Fenglong You
Journal of the Institute of Mathematics of Jussieu, vol. 22, no. 5 (2023)
[arxiv:2103.09299] [journal]

6) Tangent curves to degenerating hypersurfaces
with Lawrence Jack Barrott
Journal für die reine und angewandte Mathematik (Crelle's Journal), vol. 2022, no.  793 (2022)
[arxiv:2007.05016] [journal] [video]

5) Gromov-Witten theory with maximal contacts
with Dhruv Ranganathan
Forum of Mathematics, Sigma, vol. 10,  e5 (2022)
[arxiv:1908.04706] [journal] [slides]

4) Curve counting in genus one: elliptic singularities and relative geometry
with Luca Battistella and Dhruv Ranganathan
Algebraic Geometry, vol. 8, no. 6 (2021)
[arxiv:1907.00024] [journal]

3) The fundamental solution matrix and relative stable maps
European Journal of Mathematics, vol. 5, no. 3 (2019)
[arxiv:1804.00678] [journal]

2) Relative quasimaps and mirror formulae
with Luca Battistella
International Mathematics Research Notices (IMRN), vol. 2021, no. 10 (2021)
[arxiv:1710.11158] [journal]

1) Mutations of fake weighted projective spaces
with Tom Coates, Samuel Gonshaw, and Alexander Kasprzyk
Electronic Journal of Combinatorics, vol. 21, no. 4 (2014)
[arxiv:1312.0921] [journal]

0) Recursion formulae in logarithmic Gromov-Witten theory and quasimap theory
PhD thesis, Imperial College London (2018)
[author link]

Video+Slides

Here are a few slides and recordings (details of past and future talks can be found under "Travel+Talks"):

Teaching

Current (2023-2024 academic year):

In Semester B (Spring 2024), I am lecturing Further Topics in Algebra (MTH745P). For further information and course materials, see the QMPlus page.​

Past:

Queen Mary (2022-present):

Cambridge (2020-2022):

Glasgow (2018-2020):

Imperial (2014-2018):

Outreach

I am passionate about communicating mathematics to wide audiences. Here is a selection of outreach activities I have been involved in:

Service

Current:

Past (selected; see CV for full list):

Travel+Talks

Upcoming

February 23rd, 2024: Imperial College London (Geometry & Topology Seminar)

March 11th-15th, 2024: Lorentz Center, Leiden (Enumerative Geometry and Arithmetic)

March 18th-19th, 2024: Durham University (Tropical Mathematics and its Applications)
April 18th-19th, 2024: University of St Andrews (GLEN Workshop)

April 25th, 2024: Queen Mary University of London (Facets of Algebraic Geometry)
July 1st-5th, 2024: Imperial College London (LMS Invited Lectures 2024)

Past

September 4th-6th, 2023: Trinity College Dublin (A Tropical Panorama)

August 6th-11th, 2023: BIRS, Banff (Curves: Algebraic, Tropical, and Logarithmic)

July 7th, 2023: University of Cambridge

July 3rd-6th, 2023: Imperial College London (Derived Categories, Moduli Spaces, and Counting Invariants)

April 24th-28th, 2023: EPFL (Groups, Arithmetic and Algebraic Geometry Seminar)

April 18th-20th, 2023: University of Cambridge

March 14th-16th, 2023: Trinity College Dublin (Geometry Seminar)

February 22nd-24th, 2023: University of Frankfurt (Logarithmic Geometry and Moduli Spaces)

February 8th, 2023: Institut Henri Poincaré, Paris (RéGA)

February 1st-4th, 2023: University of Frankfurt (TGiF)

January 24th-27th, 2023: University of Sheffield (Structures in Enumerative Geometry)

November 30th, 2022: Utrecht University (Algebraic and Arithmetic Geometry Seminar)

November 4th, 2022: QMUL (Algebra and Number Theory Seminar)

October  10th, 2022: University of Cambridge (Summer Research Festival)
September 5th-9th, 2022: University of Cambridge (COMB in CAMB)

June 5th-7th, 2022: University of Sheffield (Sheffield Geometry and Physics Seminar)

May 16th, 2022: Brown University, Providence 

May 10th-20th, 2022: MIT, Boston

May 9th, 2022: Intercontinental Moduli and Algebraic Geometry Zoominar

April 23rd-27th, 2022: University of Glasgow
April 10th-23rd, 2022: ICMS, Edinburgh (Research-in-Groups with Luca and Dhruv)

April 4th-7th, 2022: University of Birmingham (3MinM)

January 26th, 2022: University of Cambridge (Algebraic Geometry Seminar)
December 13th-15th, 2021: Kyoto University in spirit (Online Workshop on Mirror Symmetry)

December 1st, 2021: YMSC, Tsinghua University, Beijing in spirit (Geometric Representation Seminar)

November 23rd, 2021: Freemath Seminar

October 29th, 2021: Goethe University Frankfurt in spirit (Non-Archimedean and Tropical Geometry)

May 6th, 2021: KIAS, Seoul in spirit (Weekly Geometry Seminar)

April 6th-9th, 2021: University of Glasgow in spirit (BMC/BAMC 2021)

February 10th, 2021: University of Bonn in spirit (bChow Seminar)

September 24th, 2020: University of Nottingham in spirit (Online Algebraic Geometry Seminar)

February 15th-18th, 2020: University of Heidelberg (Physical Mathematics Seminar)

February 10th-14th, 2020: HCM, Bonn (Perverse Sheaves in Enumerative Geometry)

February 6th, 2020: University of Liverpool (Algebraic Geometry Seminar)

January 17th-19th, 2020: University of Cambridge

December 11th, 2019: University of Birmingham (COW Seminar)

December 10th-13th, 2019: University of Sheffield

December 5th, 2019: University of Edinburgh (EDGE Seminar)

November 25th-27th, 2019: University of Warwick (Algebraic Geometry Seminar)

November 19th-21st, 2019: University of Cambridge

October 28th - November 7th, 2019: Boston College (Number Theory and Algebraic Geometry Seminar)

September 1st-2nd, 2019: University of Saarland (Around Moduli Spaces)

August 26th-30th, 2019: MPIM, Bonn

July 15th-18th, 2019: University of Cambridge (5CinG)

July 1st-3rd, 2019: University of Birmingham

June 16th-22nd, 2019: MFO, Oberwolfach (Logarithmic Enumerative Geometry and Mirror Symmetry)

May 27th-29th, 2019: University of Angers

April 21st-May 4th, 2019: MFO, Oberwolfach (Research in Pairs)

April 8th-11th, 2019: University of Lancaster (British Mathematics Colloquium)

March 19th-20th, 2019: University of Birmingham (COW Seminar)

February 20th-22nd, 2019: Imperial College London

January 31st - February 5th, 2019: University of Cambridge

December 10th-14th, 2018: National Centre for Theoretical Sciences, Taipei (Algebraic Geometry Seminar)

December 3rd-7th, 2018: RIMS, Kyoto (D-modules, Quantum Geometry and Related Topics)

October 29th, 2018: Imperial College London