# Dr David Baraglia

✓ **Eligible to supervise** Masters and PhD (as Co-Supervisor) — email supervisor to discuss availability.

Differential geometry, gauge theory and mathematics physics. Particularly the study of moduli spaces of geometric structures on manifolds such as:

- Higgs bundle moduli spaces and character varieties.
- Gauge theoretical moduli spaces in various dimensions, such as the moduli space of contact instantons on contact 5-manifolds and gauge theory on foliated spaces.

Mathematical physics, particularly geometric aspects of quantum field theory and string theory including:

- Generalised geometry, T-duality and twisted K-theory.

## Appointments

Date | Position | Institution name |
---|---|---|

2018 | Senior Lecturer | University of Adelaide, Adelaide |

2016 | DECRA Fellow | University of Adelaide, Adelaide |

2012 - 2017 | Lecturer | University of Adelaide, Adelaide |

2012 - 2015 | Australian Postdoctoral Fellow (APD) | University of Adelaide, Adelaide |

2011 - 2012 | Australian Postdoctoral Fellow (APD) | Australian National University, Canberra |

2010 - 2011 | Research Associate | Australian National University, Canberra |

## Education

Date | Institution name | Country | Title |
---|---|---|---|

University of Oxford, Oxford | United Kingdom | PhD | |

University of Adelaide, Adelaide | Australia | Masters by Research | |

University of Adelaide, Adelaide | Australia | B. Eng, Electrical and Electronic, 1st Class Honours with B. Math and Comp Sci, 1st Class Honours |

## Journals

## Book Chapters

Year | Citation |
---|---|

2013 | Baraglia, D. P. (2013). Introduction to Generalized Geometry and T-duality. In L. Ji, Y. -S. Poon, & S. -T. Yau (Eds.), Open Problems and Surveys of Contemporary Mathematics (pp. 45-97). |

## Conference Papers

- Associate Investigator on Marsden Fund Grant (with Principal Investigator P. Hekmati),
*Exploiting gauge theory and duality in geometry*, $345,000 (NZD) (2017). - Australian Research Council Discovery Project (with V. Mathai),
*Parametrised gauge theory and positive scalar curvature*, 3 year project, $335,000 (2016). - Australian Research Council Discovery Early Career Researcher Award (DECRA)
*Higgs bundle moduli spaces and spectral data*, 3 year project, $396,104 (2015). - Faculty research grant,
*New applications of Gauge Theory to Geometry*, $16,500 (2014). - Start-up funding, $10,000 over 18 months (2012).
- Australian Research Council Australian Postdoctoral Fellowship (APD),
*Applications of generalised geometry to duality in quantum theory*, 3 year project, $285,000 (2010).

**Lecturing**

- 2017 Algebraic Topology - honours course
- 2016 Maths IB algebra
- 2016 Introduction to Financial Mathematics I
- 2015 Maths IB calculus
- 2015 Groups and Rings III
- 2014 Maths IB linear algebra
- 2013 Algebraic Topology - honours course
- 2012 Applications of Quantitative Methods in Finance I
- 2012 Fields and Modules III
- 2011 Algebraic Topology - honours course (ANU)

**Student supervision**

- 2018 Masters student Ahnaf Tajwar Tahabub (co-supervised with V. Mathai)
- 2017 Masters student John McCarthay (co-supervised with V. Mathai)
- 2016 Summer research student Jake Miell
- 2016 Masters student Michael Hallam (co-supervised with V. Mathai)
- 2015 PhD student Zhenxi Huang (co-supervised with V. Mathai)
- 2013 Honours student Thi Quynh Trang Nguyen. Thesis:
*Einstein Metrics on Principal Circle Bundles* - 2011 Summer reading course for honours student - Kahler manifolds (ANU)

**Seminar organisation**

- 2018 Intermediate notions - graduate student seminar
- 2016 - 2015 Basic notions - graduate student seminar
- 2014 - 2015 Strings journal club - research seminar

## Current Higher Degree by Research Supervision (University of Adelaide)

Date | Role | Research Topic | Program | Degree Type | Student Load | Student Name |
---|---|---|---|---|---|---|

2018 | Co-Supervisor | Seibert-Witten Equations and Pseudo-holomorphic Curves Applied to Superconductors and Particle Physics | Master of Philosophy | Master | Full Time | Mr Ahnaf Tajwar Tahabub |

2017 | Co-Supervisor | Hitchin's Projectively Flat Connection and the Moduli Space of Higgs Bundles | Master of Philosophy | Master | Full Time | Mr John Benjamin McCarthy |

2016 | Co-Supervisor | Generalised Eta Invariants, Periodic End Manifolds and their Applications to Positive Scalar Curvature | Master of Philosophy | Master | Full Time | Mr Michael Hallam |

2015 | Co-Supervisor | Lie Group Actions. Symplectil Geometry. Differential Geometry. | Doctor of Philosophy | Doctorate | Full Time | Mr Zhenxi Huang |

## Memberships

Date | Role | Membership | Country |
---|---|---|---|

2015 - ongoing | Member | Australian Mathematical Society | Australia |

## Editorial Boards

Date | Role | Editorial Board Name | Institution | Country |
---|---|---|---|---|

2017 - ongoing | Editor | Journal of Geometry and Physics special issue: String geometries, dualities and topological matter | Elsevier | Netherlands |

Position

Lecturer

Phone

83131604

Fax

8313 3696

Campus

North Terrace

Building

Ingkarni Wardli Building, floor 6

Room Number

6 57

Org Unit

Mathematical Sciences