APrf Nicholas Buchdahl
School of Mathematical Sciences
College of Science
Eligible to supervise Masters and PhD - email supervisor to discuss availability.
My research is normally in the area of complex geometric analysis, with some time also devoted to problems in low-dimensional differential topology.
| Year | Citation |
|---|---|
| 2025 | Buchdahl, N. (2025). (Annals of Global Analysis and Geometry, (2003), 23, 2, (189-204), 10.1023/A:1022557004624). Annals of Global Analysis and Geometry, 67(3). |
| 2023 | Buchdahl, N., & Schumacher, G. (2023). Weil-Petersson forms for families of polystable bundles over compact Kähler manifolds. International Journal of Mathematics, 34(13), 28 pages. |
| 2022 | Buchdahl, N., & Schumacher, G. (2022). Polystable bundles and representations of their automorphisms. Complex Manifolds, 9(1), 78-113. Scopus4 |
| 2022 | Buchdahl, N., & Schumacher, G. (2022). An analytic application of Geometric Invariant Theory II: Coarse moduli spaces. Journal of Geometry and Physics, 175, 104467. Scopus4 |
| 2021 | Buchdahl, N., & Schumacher, G. (2021). An analytic application of Geometric Invariant Theory. Journal of Geometry and Physics, 165, 104237. Scopus4 |
| 2021 | Alagumalai, S., & Buchdahl, N. (2021). PISA 2012: Examining the influence of prior knowledge, time-on-task, school-level effects on achievements in mathematical literacy processes – Interpret, employ and formulate. Australian Journal of Education, 65(2), 173-194. Scopus5 WoS2 |
| 2020 | BUCHDAHL, N. P., & SCHUMACHER, G. (2020). L2-cohomology for affine spaces and an application to monads. Rocky Mountain Journal of Mathematics, 50(5), 1599-1616. |
| 2020 | Buchdahl, N., & Schumacher, G. (2020). Polystability and the Hitchin-Kobayashi correspondence. |
| 2018 | Buchdahl, N., Teleman, A., & Toma, M. (2018). On the Donaldson–Uhlenbeck compactification of instanton moduli spaces on class VII surfaces. Quarterly Journal of Mathematics, 69(4), 995-1028. Scopus1 |
| 2017 | Buchdahl, N., Teleman, A., & Toma, M. (2017). A continuity theorem for families of sheaves on complex surfaces. Journal of Topology, 10(4), 995-1028. Scopus11 |
| 2008 | Buchdahl, N. (2008). Algebraic deformations of compact Kähler surfaces II. Mathematische Zeitschrift, 258(3), 493-498. Scopus16 |
| 2006 | Buchdahl, N. (2006). Algebraic deformations of compact Kahler surfaces. Mathematische Zeitschrift, 253(3), 453-459. Scopus13 |
| 2004 | Buchdahl, N. (2004). Monads and bundles on rational surfaces. Rocky Mountain Journal of Mathematics, 34(2), 513-540. Scopus12 |
| 2003 | Buchdahl, N. (2003). Compact Kähler surfaces with trivial canonical bundle. Annals of Global Analysis and Geometry, 23(2), 189-204. Scopus4 |
| 2000 | Buchdahl, N. (2000). Blowups and gauge fields. Pacific Journal of Mathematics, 196(1), 69-111. Scopus16 |
| 2000 | Buchdahl, N. (2000). A Nakai-Moishezon criterion for non-Kähler surfaces. Annales de L Institut Fourier, 50(5), 1533-1538. Scopus20 |
| 1999 | Buchdahl, N., & Harris, A. (1999). Holomorphic connections and extension of complex vector bundles. Mathematische Nachrichten, 204(1), 29-39. Scopus6 |
| 1999 | Buchdahl, N. (1999). Sequences of stable bundles over compact complex surfaces. Journal of Geometric Analysis, 9(3), 391-428. Scopus5 |
| 1999 | Buchdahl, N. (1999). On compact Kähler surfaces. Annales de L'Institut Fourier, 49(1), 287-302. Scopus100 |
| 1999 | Buchdahl, N. P. (1999). Sequences of stable bundles over compact complex surfaces. Journal of Geometric Analysis, 9(3), 426-427. Scopus5 |
| 1995 | Buchdahl, N. (1995). Review of Nagatomo, Y., Vanishing theorem for cohomology groups of c2-self-dual bundles on quaternionic Kähler manifolds. Mathematical Reviews, MR1319938. |
| 1993 | Buchdahl, N. P. (1993). Instantons on nℂℙ2. Journal of Differential Geometry, 37(3), 669-687. Scopus15 |
| 1990 | Buchdahl, N. P., Kwasik, S., & Schultz, R. (1990). One fixed point actions on low-dimensional spheres. Inventiones Mathematicae, 102(1), 633-662. Scopus24 |
| 1988 | Buchdahl, N. P. (1988). Hermitian-Einstein connections and stable vector bundles over compact complex surfaces. Mathematische Annalen, 280(4), 625-648. Scopus89 |
| 1987 | Buchdahl, N. P. (1987). Stable 2-bundles on Hirzebruch surfaces. Mathematische Zeitschrift, 194(1), 143-152. Scopus30 |
| 1986 | Buchdahl, N. P. (1986). Instantons on CP2. Journal of Differential Geometry, 24(1), 19-52. Scopus41 |
| 1985 | Buchdahl, N. P. (1985). Analysis on analytic spaces and non-self-dual yang-mills fields. Transactions of the American Mathematical Society, 288(2), 431-469. Scopus15 |
| 1983 | Buchdahl, N. (1983). On the relattved e rham sequence. Proceedings of the American Mathematical Society, 87(2), 363-366. Scopus29 |
| 1977 | Buchdahl, H. A., Buchdahl, N. P., & Stiles, P. J. (1977). On a relation between spherical and spheroidal harmonics. Journal of Physics A General Physics, 10(11), 1833-1836. Scopus14 |
| Year | Citation |
|---|---|
| 2021 | Fresacher, M. (2021). Approximation of Higher Degree Spectra Results for Twisted Laplace Operators. |
I teach a variety of courses at all undergraduate and postgraduate levels, both in analysis and algebra.
| Date | Role | Research Topic | Program | Degree Type | Student Load | Student Name |
|---|---|---|---|---|---|---|
| 2023 - 2025 | Co-Supervisor | On the Classification of Enriques Surfaces | Master of Philosophy | Master | Full Time | Mr Radee Stefanov Tchorbadjiev |
| 2020 - 2021 | Co-Supervisor | Approximation of Higher Degree Spectra Results for Twisted Laplace Operators | Master of Philosophy | Master | Full Time | Mr Matthias Eduard Fresacher |
| 2018 - 2022 | Co-Supervisor | Computer-based Assessments of High School Mathematics in Myanmar | Doctor of Philosophy | Doctorate | Full Time | Ms Hnin Nwe Nwe Tun |
| 2017 - 2021 | Co-Supervisor | An investigation into factors affecting Grade 10 & 12 students' mathematics performance in Port Moresby, Papua New Guinea (PNG) | Doctor of Philosophy | Doctorate | Full Time | Mr Jerome Oko |
| 2014 - 2016 | Co-Supervisor | Deformation Retractions from Spaces of Continuous Maps onto Spaces of Holomorphic Maps | Master of Philosophy | Master | Full Time | Mr Brett Simon Chenoweth |
| 2013 - 2016 | Co-Supervisor | Holomorphic Flexibility Properties of Spaces of Elliptic Functions | Doctor of Philosophy | Doctorate | Full Time | Mr David James Bowman |
| 2012 - 2014 | Co-Supervisor | Oka Theory of Riemann Surfaces | Master of Philosophy | Master | Full Time | William Crawford |
| 2010 - 2015 | Principal Supervisor | Students' Experiences of Mathematics and How They Affect Further Engagement with Mathematics | Doctor of Philosophy | Doctorate | Full Time | Mr Patrick Waclaw Korbel |
| 2010 - 2013 | Co-Supervisor | Holomorphic Flexibility Properties of Complements and Mapping Spaces | Doctor of Philosophy | Doctorate | Full Time | Mr Alexander Hanysz |
| 2009 - 2012 | Principal Supervisor | Surface Shape Regions as Manifestations of a Socio-Economic Phenomenon a Solution to the Choropleth Mapping Problem | Master of Science in Mathematical and Computer Sciences | Master | Part Time | Dr John Massey |
| 2008 - 2011 | Co-Supervisor | Acyclic Embeddings of Open Riemann Surfaces into Elliptic Manifolds | Doctor of Philosophy | Doctorate | Full Time | Mr Tyson Ritter |
| 2006 - 2008 | Co-Supervisor | Invariant Bilinear Differential Pairings on Parabolic Geometrics | Doctor of Philosophy | Doctorate | Full Time | Mr Jens Kroeske |
| 2005 - 2008 | Co-Supervisor | Regularized Equivariant Euler Classes and Gamma Functions | Doctor of Philosophy | Doctorate | Full Time | Mr Rongmin Lu |
| 2000 - 2003 | Principal Supervisor | Yang-Mills connection to U(n)-bundles over compact Riemann surfaces | Master of Science in Mathematical and Computer Sciences | Master | Full Time | Mr Peter Lawrence |
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