Verse:Hmøøh/Segin Þwhgad

Rewtt Avnín Sguðinn (fT 2236 – fT 2316 (aged 80)) was an Eevo composer and mathematician. Among Tricians, she is often regarded as the greatest woman composer and mathematician who ever lived.

Traits

• Basically a 20th-century mathematician living in the 18th or 19th century
• Plot-wise she's mainly a plot device, a MacGuffin of sorts for aspirational characters.
• also known for wit
• appearance:
  • silver eyes, blonde~brown, taller than average
  • attractiveness: 6/10; not very feminine at all
• typical outfit?
  • "18th-century" "outdoors" outfit - with leather and metal
• Languages:
  • Eevo (native speaker)
  • Modern Netagin (non-native speaker)
  • Classical Netagin (can read)
  • Tamil (can read)

Historical backdrop

Mathematics

How much of math have they axiomatized - Set theory or an equivalent axiomatization.

Do they have category theory? - No, but they are close to having it.

What algebra/number theory/geometry stuff do they know?

• Algebra and geometry (pre-university)
• Physics
• Calculus; real and complex analysis (thanks to Càdlàg and [Nail Polish guy X])
• They just got abstract algebra

Music

What composers had been there? What styles, textures and harmony had they used?

Early life and education

Sguðinn was born in the city of Flian (in the principality of ___) to a semi-aristocratic background as the third of four children. Her father, Hajod Sguðinn, was a mathematics professor in the University of Flian who would compose in his spare time. Her mother, ___ ___, was a socialite, classical ŋams player and music teacher. Her mother's brother, ___ ___, was a sewøðr player.

A precocious tomboy, early on Rewtt was taught mathematics and davr by her parents. She started auditing music and math classes before she was 5. She was to a large extent self-taught in the boarding school math and music curriculum, seeking out math and music books to read in libraries, music to listen to, and instruments to learn to play. She was allowed to skip boarding school and to enroll in the University of Flian at age 10 by taking an entrance exam, and specialized in mathematics at age 16.

Around graduation, Sguðinn began to study with composers such as Cosca Síomha and to develop a musical language characterized by showy, adventurous harmony. She was also skilled in counterpoint, which was already evident in her first "string quartet" (= piece for three ngjeoms and one ngjeomsam, typically structured in several movements) which she finished at 16. In fT 2252 she attempted to win the prestigious composition prize [prize], but failed. 4 On her second attempt in fT 2255 (at age 19) she won the prize with her [some cantata or mini-opera], marking the first time [prize] was won by a woman.

After winning [prize] Sguðinn returned to the University of Flian as a doctoral student in mathematics, and was awarded a doctorate for her dissertation [something about algebraic curves?] (fT 2261) under the supervision of Zatseor Lik. Shortly thereafter, Sguðinn accepted habilitation in the mathematics department of the University of Flian.

Later life

In fT 2300 (aged 63), she retired from her academic career and secluded herself, intending to focus solely on composition. She lived in a house in Sŋooron until she died of a stroke in fT 2316 (aged 80).

Compositions

Sguðinn’s compositions, many of them commissioned, number about 250 works in total. Many of her works are chamber music and songs. Her style is often described as “constrained composition” by critics, as she often tried to optimize for both economy/efficiency and expressiveness.

Sguðinn could only compose at a limited pace during her academic career. Much of her œuvre comes from after she retired and was only published after her death.

(Many of her “high-level” tempo markings and staff directions are in her native Chick Corean – while “low-level” ones such as dynamics markings remain in Varrkkún.)

• 6 string trios
• 12 string quartets
• 12 string quintets

Mathematical output

Sguðinn contributed to number theory, geometry and topology.

• Some theorems and constructions named after her in Tricin:
  • Sguðinn axioms (the Eilenberg–Steenrod axioms): axiomatized homology for topological spaces

Personal life

A lesbian, Sguðinn never married a man or had children. She had a handful of female lovers.

Family members:

• Veróosy Sguðinn (older sister) - a mathematician
• Ybích Sguðinn (younger sister) - an artist