David Baraglia

Dr David Baraglia

Senior Lecturer

School of Computer and Mathematical Sciences

Faculty of Sciences, Engineering and Technology

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

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

  • Applications of gauge theory to the study of 4-manifolds, including group actions and families of 4-manifolds.
  • Moduli spaces of Higgs bundles and holomorphic vector bundles, character varieties and connections to the Geometric Langlands Program.
  • Gauge theoretic moduli spaces in various dimensions, such as Seiberg-Witten theory, Yang-Mills connections and gauge theory on foliated spaces.

Mathematical physics, particularly geometric aspects of quantum field theory and string theory including T-duality and twisted K-theory.

 

 

  • Appointments
    Date Position Institution name
    2018 - ongoing Senior Lecturer University of Adelaide, Adelaide
    2016 - ongoing 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
  • 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
    2024 Principal Supervisor The cohomology ring of 4-manifolds Master of Philosophy Master Full Time Mr Paawan Nileshkumar Jethva
    2023 Co-Supervisor K-Theory of Topological Insulators Doctor of Philosophy Doctorate Full Time Mr Joshua Celeste
    2023 Principal Supervisor Topics in the Classification of Compact Complex Surfaces Master of Philosophy Master Full Time Mr Radee Stefanov Tchorbadjiev
    2022 Principal Supervisor Families Seiberg-Witten Invariants of 4-Manifold Families. Doctor of Philosophy Doctorate Full Time Mr Joshua Rikihana John Tomlin
    2022 Co-Supervisor Dense entire curves in spaces of holomorphic maps Master of Philosophy Master Full Time Mr Tyson Jack Rowe

  • Past Higher Degree by Research Supervision (University of Adelaide)
    Date Role Research Topic Program Degree Type Student Load Student Name
    2021 - 2023 Principal Supervisor Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations Master of Philosophy Master Full Time Mr Tyson Joel Klingner
    2021 - 2023 Co-Supervisor The Closing Lemma for Riemann Surfaces Master of Philosophy Master Full Time Mr Wills Ton Minh Nguyen
    2020 - 2022 Principal Supervisor The families Seiberg-Witten invariants of smooth families of Kahler surfaces Master of Philosophy Master Full Time Mr Joshua Celeste
    2017 - 2018 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 - 2018 Co-Supervisor Generalised Eta Invariants, End-Periodic Manifolds, and their Applications to Positive Scalar Curvature Master of Philosophy Master Full Time Mr Michael Hallam
    2015 - 2018 Co-Supervisor Metrics and Special Kähler Geometry on the Moduli Spaces of Higgs Bundles and Hitchin Systems Doctor of Philosophy Doctorate Full Time Mr Zhenxi Huang
  • Position: Senior Lecturer
  • Phone: 83131604
  • Email: david.baraglia@adelaide.edu.au
  • Fax: 83133696
  • Campus: North Terrace
  • Building: Ingkarni Wardli, floor 6
  • Org Unit: Mathematical Sciences
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