### About

I am a Ph.D. Candidate at the University of Nebraska-Lincoln, working with Dr. Alex Zupan and Dr. Mark Brittenham. I earned my B.A. in mathematics from Willamette University, and my M.A. in mathematics from UNL.### Research

I am interested in low-dimensional topology and geometric topology, particularly trisections of smooth 4-manifolds. You can view my CV herePublications:

- L. Crawford, V. Ponomarenko, J. Steinberg, M.
Williams. Accepted Elasticity in Local Arithmetic
Congruence Monoids,
*Results in Mathematics vol. 66*, Springer, pp. 227-245. September 2014.

*Trisecting an S2 bundle over RP2*, AMS Special Session on Connections Between Trisections of 4-manifolds and Low-dimensional Topology, Boston, MA (April 2018)

*Surface bundles over surfaces*, Winter Trisectors Meeting, University of Georgia (February 2018)

*2-dimensional pictures of 4-dimensional spaces*, UNL graduate student seminar (February 2018)

*On Trisections of 4-Manifolds*, Joint Mathematics Meetings (January 2018)

*Trisections of 4-Manifolds*, UNL graduate student topology seminar (October 2017)*Trisections of 4-Manifolds*, Nebraska Wesleyan University math club (October 2017)*Knot Theory and Beyond*, Creighton University Mathematics Undergraduate Conference (October 2017)*Tricoloring Bridge Trisections*, UNL topology seminar (April 2017)*Heegaard Splittings of 3-Manifolds*, UNL topology seminar (November 2016)

### Teaching

Previous:- Associate Convenor for College Algebra and Trigonometry (AY 2017-2018). This involved coordinating 4 (spring) - 12 (fall) sections of Math 103, writing quizzes, improving curriculum, making decisions regarding grading, and running weekly course meetings with all of the instructors.
- College Algebra and Trigonometry (Fall 2016, Fall
2017)

- Geometry Matters (Spring 2017)
- Contemporary Mathematics (Summer 2016)
- College Algebra (Fall 2015, Spring 2016)
- (TA) Calculus II (Fall 2014, Summer 2015)
- (TA) Calculus I (Spring 2015)