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Personal statement example
The first periodogram I made of my project star looked like a city skyline: one tall peak near 20 cycles per day, a cluster of shorter ones around it, and a forest of noise below. My supervisor's advice was to stop staring at it and start removing things one at a time. That process, called prewhitening, shaped my final year more than any lecture did, and it is the main reason I want to study astronomy and astrophysics at Masters level.
The star was a delta Scuti pulsator observed by TESS at two-minute cadence across two sectors. I downloaded the light curves, removed points flagged as poor quality, and normalised each sector separately. I then used a Lomb-Scargle periodogram to find the strongest frequency, fitted a sinusoid at that frequency, subtracted it, and repeated. The method is simple to describe, but each decision mattered. I had to choose when a peak was significant rather than noise. I followed the common rule of thumb of a signal-to-noise ratio of about four, and I compared results when I changed how the local noise was estimated. I also learned to check whether a new peak was a genuine mode or a combination of two I had already found, by testing whether it sat close to their sum or difference.
By the end I had extracted fourteen frequencies I was reasonably confident in. I identified several as likely combinations and found that two of the strongest peaks looked noticeably cleaner once both sectors were analysed together, because the longer baseline narrowed each peak. What I could not do was say which modes they were. I could measure frequencies but not interpret them in terms of the star's interior, and that gap is exactly what I want to close. I have since been working through the asteroseismology chapters in my undergraduate stellar structure notes and reading about mode identification, and I can see that stellar models connect a list of numbers to the star's internal structure.
My degree gave me the foundations I will need: quantum mechanics, electromagnetism, statistical physics and a stellar astrophysics course in which we derived the equations of stellar structure and solved a polytrope numerically. I was strongest in the computational modules, and I now write Python comfortably, using NumPy, Astropy and Matplotlib, with my code kept under version control. I am less confident in general relativity, which I found hard, and I would welcome the chance to revisit it more thoroughly.
Throughout university I worked early shifts in a supermarket bakery, starting at five on weekends. It taught me to keep to a schedule when nobody else was around to check, and to plan a morning backwards from when the shelves had to be full. It also meant I wrote much of my project code in the afternoons, which forced me to document it properly so I could pick it up after a gap.
I also help run a junior orienteering club, setting out courses in local parks and shadowing the youngest runners. Explaining to a ten-year-old why the map should be turned to face north is not astrophysics, but it has made me better at explaining spatial ideas simply, and it gets me outside in all weathers. I would like to continue volunteering in some form during further study.
I am applying for a Masters because I enjoyed the slow, careful work of getting a believable result out of real data, and I want the theoretical grounding to understand what those results mean. I am particularly interested in stellar pulsation and stellar interiors, but I am open to where a broader programme leads me, whether that is towards observation, modelling or both. I would bring patience with messy data, solid programming habits and a clear sense of what I still need to learn.