Allen Gehret

NSF Assistant Adjunct Professor

Contact Information

Email: allen [at] math.ucla.edu
Office: MS 7935
CV

Research

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

Publications

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.

Preprints

Distality for the asymptotic couple of the field of logarithmic transseries (with Elliot Kaplan), submitted.

Dissertation

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.

Teaching

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

Links

UCLA graduate model theory seminar