Dane Sherburn

Imperial College London

Master of Engineering (MEng), Mathematics & Computer Science

January 1, 2013 – January 1, 2017

University of Melbourne

Bachelor of Science (BSc), Science

January 1, 2012 – January 1, 2013

Woolworths Supermarkets

Cashier

June 1, 2017 – Present

Melbourne, Victoria, Australia

Conformal Maps

June 1, 2015 – Present

Report: goo.gl/03PcIm A conformal map is a mapping of a domain in the extended complex plane that preserves angles locally. These maps are significant from both a purely mathematical viewpoint, and are also useful in the physical world. The properties of conformal maps are discussed, as well an extension into the Riemann Mapping Theorem. There is a simple but important class of conformal maps known as Möbius maps, or bilinear transformations, which exhibit a wide range of intriguing characteristics. Examples of these are explored in detail, as well as classification of M¨obius maps. Visual representations of these maps are constructed and displayed, experimenting with different parameters. Another class of maps that preserve angles are Schwarz-Christoffel transformations. Schwarz-Christoffel mappings are one of the few conformal maps that follow a definitive formula to find the function between planes, which is demonstrated in a simple application to a triangle. By using these transformations, solving Laplace’s equation in polygonal domains is made significantly easier. Conformal maps can be also used in a wide range of physical applications. Here, the concepts of ideal fluid flow and cartography are explored in detail.

Compiler - Java, ANTLR

October 1, 2014 – Present

Implemented the front-end (lexer, parser, semantic analyzer) & back-end (code generator) for a compiler of a procedural While-like language (WACC). Used ANTLR to generate the parser, by passing as input the WACC language grammar, satisfying the lexer and parser requirements of front-end. Semantic anaylsis performed by using the generated tree-parser to walk the abstract syntax tree (AST) checking for type equivalence and building the symbol table. Code generator takes the generated AST of the source program and translates it to ARM assembly code using the tree-parser - involves memory and register allocation. Currently working on extending the basic compiler: - Adding additional language constructs to the grammar such as Loop statements - Optimising assembly code through the use of efficient register allocation and instruction evaluation (removing redundant instructions)

ARM11 Assembler & Emulator - C

May 1, 2014 – July 1, 2014

Implemented an ARM assembler and emulator in C supporting a subset of the ARM instruction set architecture For our extension, we connected a Floppy Disk Drive to a Raspberry Pi and wrote an ARM assembly program using the instruction set implemented to control the R/W Head thereby producing a musical tune We were awarded: "Best Overall Extension, Second Runner Up"