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

04/24: Facets of Algebraic Geometry took place at QMUL on 25th April. Thanks to all who participated!

04/24: Divisors and curves on logarithmic mapping spaces, joint with Patrick, Qaasim, and Wanlong, has been accepted at Selecta.

03/24: Universality for tropical and logarithmic maps, joint with Gabriel and Dan, has been accepted at EPIGA.

02/24: New preprint: Logarithmic negative tangency and root stacks, joint with Luca and Dhruv.

12/23: Rubber tori in the boundary of expanded stable maps, joint with Francesca, has been accepted at JLMS.

11/23: GV and GW invariants via the enhanced movable cone, joint with Michael, has been accepted at Moduli.

11/23: COW is coming to QMUL! Hope to see you here on 30th November.

10/23: New preprint: Gromov-Witten theory of bicyclic pairs, joint with Michel and Yannik.

09/23: Cat Rust has started her PhD studies working with me. Welcome, Cat!

06/23: New preprint: Toric configuration spaces: the bipermuathedron and beyond.

## 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] [video] [slides]

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

Épijournal de Géométrie Algébrique (EPIGA), to appear

[arxiv:2211.15719] [video] [slides]

12) Divisors and curves on logarithmic mapping spaces

with Patrick Kennedy-Hunt, Qaasim Shafi, and Wanlong Zheng

Selecta Mathematica, to appear

[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"):

[video] [slides] - Logarithmic negative tangency and root stacks @ Academia Sinica

[video] [slides] - Universality for tropical and logarithmic maps @ Tropical Geometry in Frankfurt

[video] [slides] - Gromov-Witten theory via roots and logarithms @ ICMZ

[video] [slides] - GV and GW invariants via the enhanced movable cone @ Freemath Seminar

[video] [slides] - Rubber tori in the boundary of expanded stable maps @ Non-Arch. and Tropical Geom. in Frankfurt

[video] - Tangent curves to degenerating hypersurfaces @ Nottingham Online Algebraic Geometry Seminar

[slides] - Gromov-Witten theory with maximal contacts @ KIAS Weekly Geometry Seminar

[slides] - Desingularising genus one moduli via logarithmic geometry @ bChow Seminar

## 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):

Lecturer (Further Topics in Algebra, Convergence and Continuity)

Cambridge (2020-2022):

Lecturer (Part III Toric Geometry)

Supervisor (Part IB Analysis and Topology; Part II Algebraic Geometry)

Assessor (Part III Essay: Moduli of Curves)

Supervisor (Undergraduate Summer Research Projects, 2021 and 2022)

Glasgow (2018-2020):

Lecturer (4H Galois Theory; SMSTC Groups, Rings and Modules)

Supervisor (Masters' dissertation: Hurwitz theory)

Imperial (2014-2018):

Teaching Assistant (tutorials for numerous undergraduate courses)

## Outreach

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

In July 2022, I delivered several sessions as part of the Intro to Maths at Uni outreach program, aimed at encouraging students from Black, Pakistani or Bangladeshi backgrounds to apply to study mathematics at selective universities.

In Autumn 2021, together with Qaasim Shafi, I delivered a four-session course for schoolchildren as part of London Maths Outreach, entitled: "The colourful world of graphs: from bridges to borders."

As a PhD student I delivered outreach activities in secondary schools as part of RCUK's Reaching Further programme at Imperial College London. My activity was called "Polyhedra and Symmetry", and the goal was to get school children to invent the idea of a symmetry group by playing with polydron.

## Service

Current:

Member, Advisory Board (Early Career Workstream), Academy for the Mathematical Sciences.

Deputy EDI Lead, QMUL School of Mathematical Sciences.

Co-lead (with Jordan Marajh), QMUL EDI Subgroup for Ethnic Minorities.

Co-organiser (with Shengwen Wang), QMUL Internal Colloquium.

Past (selected; see CV for full list):

Co-organiser (with Marvin Anas Hahn), A Tropical Panorama.

Co-organiser (with Subhajit Jana), QMUL Algebra and Number Theory Seminar.

Co-organiser (with Luca Battistella), COMB in CAMB.

Organiser, Imperial College Junior Geometry Seminar.

Co-founder and co-organiser (with Sam Gonshaw), Imperial College Undergraduate Mathematics Colloquium.

## Travel+Talks

### Upcoming

June 10th-14th, 2024: University of Bologna

July 1st-5th, 2024: Imperial College London (LMS Invited Lectures 2024)

July 15th-19th, 2024: SCGP, Stony Brook (Moduli Workshop)

July 29th-August 2nd, 2024: University of Cambridge

### Past

May 2nd, 2024: University of Liverpool (COW)

April 25th, 2024: Queen Mary University of London (Facets of Algebraic Geometry)

April 16th, 2024: Northeastern University London (Mathematics and Statistics Awareness Month)

April 10th, 2024: Academia Sinica in spirit (Algebraic Geometry Seminar)

March 18th-19th, 2024: Durham University (Tropical Mathematics and its Applications)

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

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

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