Anush Tserunyan
Full-semester course notes and problem lists
Descriptive Set Theory (graduate)
Originally put together for the UCLA Undergraduate Logic Summer School 2013 , this evolved into a semester-long graduate course material.
Mathematical Logic (graduate)
Originally put together for the UCLA Undergraduate Logic Summer School 2012 , this evolved into a semester-long graduate course material.
Set Theory and Forcing (graduate)
Typeset by Jessica Schirle , these are Christian Rosendal 's handwritten notes off of J.-L. Krivine's Théorie des ensembles , which I followed when teaching Set Theory (Math 574, Spring 2018)
Half-semester course notes
A quick introduction to basic set theory (undergraduate)
Originally put together for the UCLA Undergraduate Logic Summer School 2013 , this evolved into a half semester undergraduate course material.
Short notes
Basic Set Theory
The Cantor–Schröder–Bernstein theorem [pdf ]
Real Analysis (graduate)
Lebesgue differentiation [pdf ]
Convergence in measure [pdf ]
Cantor sets [pdf ]
Baire-measurable sets [pdf ]
Descriptive set theorists too can omit types : a proof of the Omitting Types theorem using only basic descriptive set theory
Topics in Logic and Applications : a three-day course for advanced undergraduates
This is from a mini-course I taught at the Undergraduate Summer School within Thematic Program on Model Theory , University of Notre Dame , June 2016.
Article reviews
C. T. Conley and B. D. Miller, A bound on measurable chromatic numbers of locally finite Borel graphs, Mathematical Research Letters, vol. 23, no. 6 (2016), pp. 1633–1644
The Bulletin of Symbolic Logic , vol. 23 (2017), no. 3, pp. 334–336 [pdf , DOI ]