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 here

Publications:
  • 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.
Talks Given:
  • 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)

Contact Information

  • Department of Mathematics
    University of Nebraska - Lincoln
    Avery 218
    P.O. Box 880130
    Lincoln, NE 68588
  • marla.williams[at]huskers.unl.edu