# 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