Welcome to my portfolio!
I started to write this portfolio at the end of 2002, when I was a first-year mathematics student at Utrecht University. It is designed primarely to keep track of my progress over the years. An up-to date portfolio also was a prerequisite for completing the Bachelor's programme in Mathematics. Furthermore, a portfolio generally is seen as a welcome addition to a Curriculum Vitae.
I have decided that this portfolio be public, so that anyone interested can access its contents freely. Also, for accessability, I'm writing most new content in English, while (on request) I may translate some older content to English.
Feel free to email me at webmaster "at" trancethrust "dot" nl for questions, suggestions, etcetera.
September 2007 I started as a PhD student at the Department of Mathematics, Utrecht University, under Dr. Rob H. Bisseling. The main thesis subject is Mondriaan, a sparse matrix partitioner developed by Rob. We will enhance, extend and apply this partitioner so it will perform well on a number of new problems; some even seemingly unrelated to matrices or parallel computing. The first 9 months were mainly spend doing research on a cache-oblivious method to speed up sparse matrix-vector multiplication using the Mondriaan partitioner. Other duties of course include teaching, and as a side-project I am busy working on a bulk-synchronous parallel model for multi-threading in Java.
Publications pending. For any pre-prints or other resources please refer to my university page
| Course | Level | Period |
| Assistant with Laboratory Class Scientific Computing | First-year master | First Semester |
| Exercise sessions in Fourier Theory (for Physicists) | Second-year bachelor | First Semester |
| Exercise sessions in Differential Equations | Second-year bachelor | Second Semester |
This year I started the master in Scientific Computing. Apart from following the obligatory courses, I also rounded up a bachelor thesis on the subject of Parallel Radiosity Rendering. Also, as the final part of the Masters programme, I started an internship at Alten Nederland (The Dutch subdivision Alten). My work there consisted of researching R-trees for use with oil reservoir simulation software. This included the development of an open source (LGPL) R-tree library. This project was done in collaboration with the Royal Dutch Shell, and Alten is intending to further research internally. By June 2007, I held a BSc. in Mathematical Sciences and Computing sciences. September 2007 I received an MSc. in Scientific Computing.
A report on Random Number Generators (RNGs) and an application thereof in Monte-Carlo Integration.
[pdf]
A report on Genetic Algorithms (GAs) and an application thereof in efficient solving of the Travelling Salesman Problem (TSP). [pdf]
A report on the (mathematical) workings of Magnetic Resonance Imaging (MRI), in particular its relation to the Fourier Transform (FT). [pdf]
A report on the theory and comparison of FT-based JPEG versus the wavelet-based JPEG-2000 compression method. [pdf]
Final version of my bachelor thesis on Parallel Radiosity Rendering Methods. [pdf]
A report on the basic foundations of the Google PageRank method. [pdf] with Kees van Vliet & Tristan Hartskeerl
Master thesis: using R-trees to efficiently handle irregular grid storage. Thesis [html], SourceForge [html]
A report on Genetic Algorithms (GAs) and an application thereof in efficient solving of the Travelling Salesman Problem (TSP). [pdf]
A report on the (mathematical) workings of Magnetic Resonance Imaging (MRI), in particular its relation to the Fourier Transform (FT). [pdf]
A report on the theory and comparison of FT-based JPEG versus the wavelet-based JPEG-2000 compression method. [pdf]
Final version of my bachelor thesis on Parallel Radiosity Rendering Methods. [pdf]
A report on the basic foundations of the Google PageRank method. [pdf] with Kees van Vliet & Tristan Hartskeerl
Master thesis: using R-trees to efficiently handle irregular grid storage. Thesis [html], SourceForge [html]
| Course name | Location | Department |
| Laboratory Class Scientific Computing | Utrecht University, | Department of Mathematics |
| Wavelets & Fouriertransforms | Utrecht University, | Department of Mathematics |
| Kleine Scriptie (Bachelor thesis) | Utrecht University, | Department of Mathematics |
| Numerical Linear Algebra | Universiteit van Amsterdam, | Faculty of Science |
| Master thesis | Utrecht University, | Department of Mathematics |
The fourth year I spent to round up to be able to get the BSc. degree with a double major. Since my schedule was not really full with the courses I needed to do, the last semester included a master course in Mathematics included in the programme for Scientific Computing.
An automated theorem prover
[jar]
[readme].
Report (Dutch): [pdf].
Example proofs and traces: [pdf] with Rico Slagmolen
A group essay about hypothetical communication technology issues that arise when a multinational expands by merges and take-overs of foreign businesses (Dutch) [pdf]
A report on solving a time-dependent partial differential equation [pdf] with Tijmen Collignon
Team project regarding building an open-source (LGPL) analysis tool (named Spectre) for use with Mass Spectrometry. Work on Spectre will be continued by a new team, at 2007 Spring semester. Links:
--Team webpage: [html] Sourceforge location: [html] Project initiator (dr. ir. Bas van Breukelen): [html, html]
A group essay about hypothetical communication technology issues that arise when a multinational expands by merges and take-overs of foreign businesses (Dutch) [pdf]
A report on solving a time-dependent partial differential equation [pdf] with Tijmen Collignon
Team project regarding building an open-source (LGPL) analysis tool (named Spectre) for use with Mass Spectrometry. Work on Spectre will be continued by a new team, at 2007 Spring semester. Links:
--Team webpage: [html] Sourceforge location: [html] Project initiator (dr. ir. Bas van Breukelen): [html, html]
| Course name | Location | Department |
| Inleiding Intelligente Systemen | Utrecht University, | Department of Information and Computing Sciences |
| Gedistribueerd Programmeren | Utrecht University, | Department of Information and Computing Sciences |
| Statistiek | Utrecht University, | Department of Mathematics |
| Netwerken | Utrecht University, | Department of Information and Computing Sciences |
| Automatisch Redeneren | Utrecht University, | Department of Information and Computing Sciences |
| Softwareproject | Utrecht University, | Department of Information and Computing Sciences |
| Numerical Methods for Partial Differential Equations | Universiteit van Amsterdam, | Faculty of Science |
Since both Computing Science and Mathematics held my interest equally, and since I probably could not finish and get a BSc. degree this year, I decided to take spend this year and the next one to get a BSc. with a major in both Mathematics as well as Computing Science.
A java ray-tracer [zip] Sample (4x AA): [jpg] with Nick Martens
A team project regarding software to build a Phylogenetic tree [link] Final report: [pdf]
A report on parallel solving of a n-Queens problem (Dutch) [pdf]. A solution to the 150-Queens problem: [txt]
A report on using local search to solve a Vehicle Routing Problem with Time Windows (VRPTW) (Dutch) [pdf]. Addition: [pdf] with Casper Zelissen
A report on the solving of large sparse lineair systems regarding simple groundwater flows (Dutch) [pdf] with Hanno Mulder
A summary on my presentations about the 8 Queens problem and calculating Gamma(1/2), during the Communicating Mathematics course [html]
A summary on Abstract Data Types (ADT's) [pdf]
A team project regarding software to build a Phylogenetic tree [link] Final report: [pdf]
A report on parallel solving of a n-Queens problem (Dutch) [pdf]. A solution to the 150-Queens problem: [txt]
A report on using local search to solve a Vehicle Routing Problem with Time Windows (VRPTW) (Dutch) [pdf]. Addition: [pdf] with Casper Zelissen
A report on the solving of large sparse lineair systems regarding simple groundwater flows (Dutch) [pdf] with Hanno Mulder
A summary on my presentations about the 8 Queens problem and calculating Gamma(1/2), during the Communicating Mathematics course [html]
A summary on Abstract Data Types (ADT's) [pdf]
| Course name | Location | Department |
| Graphics | Utrecht University, | Department of Information and Computing Sciences |
| Numerieke Wiskunde | Utrecht University, | Department of Mathematics |
| Project Computational Science en Toepassingen | Utrecht University, | Department of Mathematics |
| High Performance Scientific Computing | Utrecht University, | Department of Mathematics |
| Overdragen van de Wiskunde | Utrecht University, | Department of Mathematics |
| Optimalisering | Utrecht University, | Department of Information and Computing Sciences |
| Inleiding Analyse B | Utrecht University, | Department of Mathematics |
| Speltheorie | Utrecht University, | Department of Mathematics |
| Datastructuren | Utrecht University, | Department of Information and Computing Sciences |
| Practicum Computational Science | Utrecht University, | Department of Mathematics |
This year I dropped the Computational Science minor and decided to focus more on Computing Science. I followed more and more courses there, including an introductory course on graphics which I also found very interesting. At the Mathemathics department, the course 'Parallel Algorithms' given by Rob H. Bisseling renewed my interest on Scientific Computing.
A report on the 8-queens problem; solving the problem using an genetic algorithm [pdf (Dutch)] [pdf (English)] -- Translated 2nd of July, 2006
A fractal java applet [html] [class] [java]
A reversi java applet [html] [class] [java]
A simple image-processor java program [zip]
A report on the problem of fast parallell matrix multiplication (Dutch) [pdf] with Robin Zeeman
Several assignments from the basic probability theory course (pdf) [1] [2] [3] [4] [5] [6] [7] [8]
A fractal java applet [html] [class] [java]
A reversi java applet [html] [class] [java]
A simple image-processor java program [zip]
A report on the problem of fast parallell matrix multiplication (Dutch) [pdf] with Robin Zeeman
Several assignments from the basic probability theory course (pdf) [1] [2] [3] [4] [5] [6] [7] [8]
| Course name | Location | Department |
| Groepentheorie | Utrecht University, | Department of Mathematics |
| Modelleren en Systeemontwikkeling | Utrecht University, | Department of Information and Computing Sciences |
| Parallelle Algoritmen voor Supercomputers | Utrecht University, | Department of Mathematics |
| Functioneel Programmeren | Utrecht University, | Department of Information and Computing Sciences |
| Inleiding Computationele Intelligentie | Utrecht University, | Department of Information and Computing Sciences |
| Infinitesimaalrekening C | Utrecht University, | Department of Mathematics |
| Kansrekening | Utrecht University, | Department of Mathematics |
This was my first year at Utrecht University. Apart of following obligatory courses, I also did a side-course in programming at the Department of Information and Computing Sciences as a part of the CS minor. During that course I developed interest in learning more about Computing Science. In particular, I found the field Artificial Intellegence to be quite appealing.
ICG Final Assignment (Dutch) [pdf]
A report on Mathematics in Media (Dutch) [pdf]
A report on Mathematics in Literature (Dutch) [pdf]
A report on a Rhino population model (Dutch) [pdf] with Wouter Stekelenburg
A report on the flow of college students (Dutch) [pdf] with Wouter Stekelenburg
A report on a power generation/routing/consumption model (Dutch) [ps] [pdf] with Wouter Stekelenburg
A report on the number e (Dutch) [pdf] with Robin Zeeman & Cees Kramer
A report on Mathematics in Media (Dutch) [pdf]
A report on Mathematics in Literature (Dutch) [pdf]
A report on a Rhino population model (Dutch) [pdf] with Wouter Stekelenburg
A report on the flow of college students (Dutch) [pdf] with Wouter Stekelenburg
A report on a power generation/routing/consumption model (Dutch) [ps] [pdf] with Wouter Stekelenburg
A report on the number e (Dutch) [pdf] with Robin Zeeman & Cees Kramer
| Course name | Location | Department |
| Computergebruik | Utrecht University, | Department of Mathematics |
| Infinitesimaalrekening A/B | Utrecht University, | Department of Mathematics |
| Wat is Wiskunde A/B | Utrecht University, | Department of Mathematics |
| Imperatief Programmeren | Utrecht University, | Department of Information and Computing Sciences |
| Inleiding Analyse A | Utrecht University, | Department of Mathematics |
| Modellen & Simulatie 1 | Utrecht University, | Department of Mathematics |
| Kaleidoscoop 1 | Utrecht University, | Department of Mathematics |
| Lineaire Algebra A/B/C | Utrecht University, | Department of Mathematics |
| Databases | Utrecht University, | Department of Information and Computing Sciences |
During this year, I finished high school (VWO, N&T) at the Candea College. The Dutch schoolsystem is built so that students can choose pre-defined study paths. The path I took was 'Nature & Science', which included mathematics, physics and chemistry along with other courses obligatory to all students. As an optional course I took Information Technology. Also, I've done 2 years of (ancient) Latin and one year ancient Greek.
Before graduating, all high school students must do a rather big project on the field of one of the chosen path's main courses. I did mine about building a working computer simulation model of our solar system for Physics, together with E. Faber.
I quite enjoyed myself during that project, so the choice on what to do after high school was quickly made; Computational Science (CS) at Utrecht University. Unfortunately, when I was about to enroll, CS was basically merged into the new Mathematics Bachelor course. So I enrolled there intent on obtaining a BSc. degree majoring in Mathematics with a minor in CS. After that, the master Scientific Computing seemed fun (and also very close to CS).