NSF Assistant Adjunct Professor
Email: allen [at] math.ucla.edu
Office: MS 7935
My research interests include the
algebra and model theory of: valued fields, valued differential fields, asymptotic differential algebra, Hardy fields, transseries, asymptotic couples and ordered abelian groups
Hamel spaces and distal expansions (with Travis Nell), J. Symb. Log., to appear.
A tale of two Liouville closures, Pacific J. Math. 290 (2017), no. 1, 41-76.
NIP for the asymptotic couple of the field of logarithmic transseries, J. Symb. Log. 82 (2017), 35-61.
The asymptotic couple of the field of logarithmic transseries, J. Algebra 470 (2017), 1-36.
Distality for the asymptotic couple of the field of logarithmic
transseries (with Elliot Kaplan), submitted.
Ph.D. Thesis, Towards a model theory of logarithmic transseries, Aug. 2017. (Thesis defense video )
Slides from some talks
Distal and non-distal ordered abelian groups, Model Theory Seminar, University of Notre Dame, Notre Dame, IN, December 2017.
A tale of two Liouville closures..., Kolchin Research and Training Workshop III, Graduate Center, CUNY, New York City, NY, May 2017.
Towards a model theory of logarithmic transseries, Thesis defense, University of Illinois at Urbana-Champaign, Urbana, IL, April 2017.
Math131a Real Analysis Fall 2019 (Here are lecture notes)
Math131a Real Analysis Summer Session A 2019
Math170b Probability Theory Spring 2019 (Here are lecture notes and memes.)
Math170a Probability Theory Winter 2019
Math115a Linear Algebra Fall 2018
Math167 Mathematical Game Theory Summer Session A 2018
Math131a Real Analysis Summer Session A 2018
UCLA graduate model theory seminar