Greg von Nessi
- Academic qualifications:
| >>> | Ph.D. - Mathematics // Australian National University |
| >>> | Honors B.Sc. - Mathematics and Physics // Univ. Massachusetts @ Lowell |
Contact Information:
| Offices: | Rm 2.13, Le Couteur Bldg (59) |
| Postal Address: | Department of Theoretical Physics
Research School of Phys. Sci. & Eng.
Australian National University
Canberra ACT 0200
Australia |
| Telephone: | +61 2 6125 2959 |
| Fax: | +61 2 6125 5549 (attn. Greg von Nessi) |
| Email: | x.y@z; y equals vonnessi; z equals anu.edu.au; and x equals greg. Sorry for the abstract format; I don't like spam. |
Note: I am currently in the process of transitioning from the MSI to a postdoc in the plasma theory group at RSPSE. I will update my office location and work number once I am settled into this new position.
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Publications:
| >>> | Regularity Results for Potential Functions of the Optimal Transportation Problem on Spheres and Related Hessian Equations // Ph.D. Thesis: The official version of this can be downloaded here. |
| >>> | On the Second Boundary Value Problem for a Class of Modified-Hessian Equations // arXiv Preprint: The current version of this can be downloaded here. |
| >>> | On the Regularity of Optimal Transportation Potentials on Round Spheres // arXiv Preprint: The current version of this can be downloaded here. |
Notes:
| >>> | Analytic Methods in PDE (formerly Elementary Theoretical Methods in PDE): Currently, I am revising these notes to a state where they are publicly presentable. In the meantime just send me an email if you would like a current PDF of these (free of course).
I've been very pleasantly surprised at how many people actually got a copy of these notes and found them useful. These notes were intended to be only for my own self-study but became somewhat widely distributed because I was naive enough to think that being buried in a personal website would make them difficult to find on the internet. That being said, there are many passages taken from other texts that were merely meant as place holders until I could write my own version of the corresponding content into the text. Thus, it is much appreciated if people who have earlier versions of these notes refrain from distributing them personally but instead have people email me directly for their own copy. This is just so I can gain back some control over which versions are being distributed.
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| >>> | 2005 AMSI Summer School PDE Notes: Again just email me for a copy of these.
As the tutor for this course I was also hired to write a set of notes that complimented the lectures given. Subsequently, I have incorporated these into the above, more-expansive Elementary Theoretical Methods in PDE, as these notes reflect my own understanding of the covered topics.
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| >>> | Leon Simon's Lecture Notes on Geometric Measure Theory: Leon Simon is currently revising this set of notes that I recently re-typeset in LaTeX. If you are interested in getting an electronic copy of these, I suggest contacting Leon Simon at Stanford, as I am no longer holding the most current version.
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LaTeX/Bibtex:
| >>> | I am currently the instructor for LaTeX for the Graduate Information Literacy Program at the ANU. Below are some resources that are associated with the LaTeX courses I teach.
- MSI Thesis template: This is a zip archive of an ANU thesis template that contains a number of files: tex source, ANU logo eps, sample output pdf, and other empty tex files that are supposed to contain the actual content of the thesis.
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Research Interests:
| >>> | Elliptic PDEs, Differential Geometry and Calculus of Variations |
| >>> | Stochastic differential equations and Bayesian analysis |
| >>> | Fusion plasma simulation and data analysis in Tokamak reactors |
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