This is an academic webpage for me, Calliope Ryan-Smith.
Articles are presented in reverse order by initial release.
Fun fact: calliope.mx redirects to this page!
Research interests: the theory of forcing and symmetric extensions, the axiom of choice, cardinal characteristics, large cardinals, and intersections of model theory and set theory.
While I strive to keep the data on this website accurate, this is not guaranteed.
Papers
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Eccentricity, extendable choice and descending distributive forcing.
2025. arXiv:2506.11607 (pdf). -
Local reflections of choice.
Acta Math. Hung. 176 (2025), no. 1, 244–257.
doi.org/10.1007/s10474-025-01533-3 (pdf).
arXiv:2412.13785 (pdf). MR4936591. -
Proper classes of maximal θ-independent families from large cardinals.
2024. arXiv:2408.10137 (pdf). -
Upwards homogeneity in iterated symmetric extensions.
(with J. Schilhan and Y. Wei) J. Symb. Log. Online-first version (2025).
doi.org/10.1017/jsl.2025.10148 (pdf).
arXiv:2405.8639 (pdf). -
String dimension: VC dimension for infinite shattering.
2024. arXiv:2402.18250 (pdf). -
The Hartogs–Lindenbaum spectrum of symmetric extensions.
Math. Log. Quart. 70 (2024), no. 2, 210–223.
doi.org/10.1002/malq.202300047 (pdf).
arXiv:2309.12100 (pdf). MR4788363. -
Which pairs of cardinals can be Hartogs and Lindenbaum numbers of a set?
(with A. Karagila) Fund. Math. 267 (2024), no. 3, 231–241.
doi.org/10.4064/fm231006-14-8 (pdf).
arXiv:2309.11409 (pdf). MR4788363. -
Stratifiable formulas are not context-free.
Notre Dame J. Form. Log. 66 (2025), no. 3, 301–311.
doi.org/10.1215/00294527-2024-0040 (pdf).
arXiv:2304.10291 (pdf). MR4949932.
Thesis
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My thesis, Eccentric Sets, can be found in both
print format
and
web format
(i.e. centred).
It is published under a CC BY-NC-SA 4.0 license.
It is also deposited in the White Rose eTheses Online repository soon.
Other works
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A heavily abridged version of Maximal θ-independent families from large cardinals in one-page zine form is available here.
For a printed version, print this file. Instructions for constructing the zine can be found at, say, https://mymodernmet.com/how-to-make-a-zine/. - Posters presented at audiences can be found on my talks page.
Links
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My PhD student page at the University of Leeds can be found at https://eps.leeds.ac.uk/maths/pgr/9635/calliope-ryan-smith/
- My ORCID iD is 0000-0003-2835-4268
- My CV can be found here.
- My MathSciNet author ID is 1625058
Contact
I can be contacted at
cr638@cantab.ac.uk
Any other business
- Minims calculator. Put in the number of minims and this will spit out all of the possible combinations of letters that those minims could represent.
- MathOverflow account. Where I dwell on MathOverflow.
- Why .mx?
- Set theory charades is here (work-in-progress).