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Personal statement example
For three weeks in my final year, my fitted Hubble constant came out about forty per cent too high. The code ran cleanly and the plots looked tidy, which made the problem harder to see. The cause was a factor of h. One distance function returned values in units of megaparsecs divided by h, and another assumed plain megaparsecs. Finding it meant writing out every quantity in my pipeline with its units beside it, and that habit has stayed with me. Tracing a number back to its definition is the part of cosmology I enjoy most, and it is why I want to study the subject at Masters level.
My undergraduate project used a public compilation of Type Ia supernovae to constrain the matter density and the Hubble constant in a flat Lambda-CDM model. I converted apparent magnitudes to distance moduli, computed theoretical luminosity distances by numerical integration, and sampled the posterior with the emcee package. My matter density agreed with standard values within the uncertainties. My Hubble constant depended entirely on the absolute magnitude I assumed for the supernovae, and I could not determine that from the data alone. Seeing this degeneracy for myself made the Hubble tension far clearer than any summary had. The disagreement between values from the local distance ladder and those inferred from the cosmic microwave background is a question of calibration and modelling. My supervisor described my discussion of these limitations as the strongest part of the report.
The project also showed me what I do not yet know. I could fit a background expansion history, but I have only a basic grasp of how structure grows within it. I have begun working through the perturbation chapters of Barbara Ryden's Introduction to Cosmology, and I now see why the CMB power spectrum carries so much information. I find it hard to follow from a textbook alone, though. I would like structured teaching in perturbation theory, statistics for large surveys and early-universe physics. That would let me judge whether to pursue research. My modules in general relativity and statistical mechanics, both of which I enjoyed and did well in, gave me a reasonable base for this.
Since graduating I have worked four days a week at a community bicycle repair co-op. Most of the job is ordinary: truing wheels, replacing brake cables and logging donated bikes. I have also become the person who explains repairs to volunteers who are new to them. This has made me better at breaking a process into steps someone else can follow. It has also taught me to admit when I am unsure rather than guess. On Saturday mornings in summer I coach an under-11s cricket group at my local club. That involves keeping fourteen children organised and fairly rotating who gets to bat. Neither role is about physics. Both have made me more patient and more reliable, and I expect those qualities to matter during a demanding year of study.
Outside work I have kept my programming going. I rewrote my project code as a small, documented package so that a friend in the year below could reuse it. I also added a test that checks the luminosity distance function against known limiting cases, which would have caught my original h error immediately. Writing tests for a scientific calculation felt unglamorous. It also felt like the right way to work.
I am applying for postgraduate study in cosmology because I want to move from reproducing standard results towards understanding the open questions behind them. I would bring careful working habits, solid computational skills and a clear sense of which gaps in my knowledge I want to close.