NSF Assistant Adjunct Professor
Email: allen [at] math.ucla.edu
Office: MS 6105
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
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.
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.
Previous Teaching at UIUC
Math 415 Fall 2016 (Head TA)
Math 415 Summer 2016 (Grader/TA)
Math 415 Spring 2016 (Head TA)
Math 415 Spring 2015 (Head TA)
Math 415 Fall 2014
Math 241 Fall 2013
Math 241 Fall 2012
Math 241 Fall 2011
UCLA graduate model theory seminar