# Publications

My research program is dedicated to the study of the geometry and topology of the moduli spaces of Higgs bundles, integrable systems and decorated bundles, and the geometric structures they parametrize. In particular, I am interested in understanding of branes of Higgs bundles, dualities within quiver varieties in general, and within generalized hyperpolygons in particular, with views towards applications to the Langlands program for wild Hitchin systems. In a different direction, I am interested in the appearances of geometric structures and symmetries within different areas of sciences, which has led to some publications in applied mathematics. You can see my work in each area by clicking on the links below (I have included here the children books I have published to teach mathematics or about mathematics – for a complete list of my children books, please visit my Children Books page.

All Geometry Interdisciplinary Children Books

My **45+ pieces** both within geometry as well as on other topics are listed below in reverse chronological order by year. Note that authors on all of my publications appear alphabetically except in our Nature Scientific Reports paper, where authors are by contribution. Citations to my papers can be found on Google Scholar. Paper tags are colored as follows:

journal article conference article editorial work manuscript .

## 2024

- arxiv

## 2023

- childrens’

book*ISBN:979-8-9859682-1-7*2023 - childrens’

book - SIGMA
- Heliyon
- Nature SR
*Nature Scientific Reports volume 13, Article number: 1525 (2023)*2023

## 2022

- arxiv
- Emissary
- ZAG
- Nature SR
*Nature Scientific Reports, volume 12, Article number: 14536 (2022)*2022 - JRS

Interface*Journal of the Royal Society Interface*2022 - Book

## 2021

- childrens’

book - Notices
*Notices of the AMS*2021 - RMS
*Research in the Mathematical Sciences*2021 - AGAG
- Park City
*Park City Mathematics Series*2021 - PROTIPED
*Editorial Medica Panamericana*2021 - SIGMA
*SIGMA. Symmetry, Integrability and Geometry: Methods and Applications*2021 - QJM
- Nature SR
*Nature Scientific Reports*2021

## 2020

- EMS

Newsletter*EMS Newsletter*2020 - PRR
- Notices
- Snapshots
- CAG
*Communications in Analysis and Geometry*2020 - PRR
- PRS A
*Proceedings of the Royal Society A*2020 - SIGMA
*SIGMA. Symmetry, Integrability and Geometry: Methods and Applications*2020

## 2019

- AWM

Newsletter*AWM Newsletter*2019 - AWM

Newsletter*AWM Newsletter*2019 - Transactions
*Transactions of the American Mathematical Society*2019 - OWR

Reports - SIGMA
*SIGMA. Symmetry, Integrability and Geometry: Methods and Applications*2019

## 2018

- EJM
- JGP
- SIGMA
*SIGMA. Symmetry, Integrability and Geometry: Methods and Applications*2018 - Behaviour
- OUP
*A Festschrift in Honour of Nigel Hitchin*2018 - Let.Biomat.

## 2017

- LNS NUS
- Transactions
*Transactions of the AMS*2017 - JHEP
- J.Struc.

Bio.*Journal of Structural Biology*2017

## 2016

- AIMatters
*AIMatters 2016*2016 - AWM

Newsletter*AWM Newsletter*2016 - ATMP
*Advances in Theoretical and Mathematical Physics.*2016 - RMS
- PRE
- SIGMA
*SIGMA. Symmetry, Integrability and Geometry: Methods and Applications*2016

## 2015

- IMRN
- OWR

Reports

## 2014

- CMP
- J.Diff.

Geom.

## 2013

- IJM
- Oxford