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Ruth Davidson

I am at the University of Illinois Urbana-Champaign Department of Mathematics as an NSF postdoctoral fellow (DMS 1401591). Tandy Warnow is my sponsoring scientist for this grant. I am also a J.L. Doob Research Assistant Professor. My professional mentor in the Department of Mathematics is Bruce Reznick.

Contact: redavid2@illinois.edu

Office: 165 Altgeld Hall

Office Hours Fall 2016: By Appointment. Appointment requests are always welcome!

My CV

My areas of research interest are mathematical phylogenetics, geometric combinatorics, and algebraic statistics.

(In Preparation) Chuan Du, Adarsh Manawa, Christopher Szul, Titan Wibowo, Nima Rasekh, Ruth Davidson, and Rosemary Guzman. Image-based data analysis via discrete Morse theory and persistent homology.

(In Preparation) Ruth Davidson and James Degnan. When is it surprising that all gene trees are unique? An application of the generalized birthday problem.

Hector Banos, Nathaniel Bushek, Ruth Davidson, Elizabeth Gross, Pamela E. Harris, Robert Krone, Colby Long, Allen Stewart, and Robert Walker. Phylogenetic Trees: A Macaulay2 Package. Submitted. arXiv: 1611.05805

Ruth Davidson, Augustine O'Keefe, and Daniel Parry. A new shellability proof of an identity of Dixon. Submitted. arXiv:1512.00080

Ruth Davidson, MaLyn Lawhorn, and Joseph Rusinko, and Noah Weber: Efficient Quartet Representations of Trees and Applications to Supertree and Summary Methods. Submitted. arXiv: 1512.05302

Ruth Davidson, Joseph Rusinko, Zoe Vernon, and Jing Xi: Modeling the distribution of distance data in Euclidean space. To appear in the AMS Contemporary Mathematics Series book * Algebraic and Geometric Methods in Applied Discrete Mathematics. *

Ruth Davidson, Pranjal Vachaspati, Siavash Mirarab, and Tandy Warnow: Phylogenomic species tree estimation in the presence of incomplete lineage sorting and horizontal gene transfer. RECOMB-Comparative Genomics 2015, and BMC Genomics, 2015.

Jed Chou, Ashu Gupta, Shashank Yaduvanshi, Ruth Davidson, Mike Nute, Siavash Mirarab, and Tandy Warnow: A comparative study of SVDquartets and other coalescent-based species tree estimation methods. RECOMB-Comparative Genomics 2015, and BMC Genomics, 2015.

Ruth Davidson and Seth Sullivant: Distance-based phylogenetic methods around a polytomy. IEEE/ACM Transactions on Computational Biology and Bioinformatics **11** (2014), no. 1: 325-335. Associated Software.

Ruth Davidson and Patricia Hersh: A lexicographic shellability characterization of geometric lattices. Journal of Combinatorial Theory, Series A **123** (2014), no. 1: 8-13.

Ruth Davidson and Seth Sullivant: Polyhedral Combinatorics of UPGMA Cones. Advances in Applied Math **50** (2013), no. 2, 327-338. Supplementary Materials.

Washington State University-Vancouver Mathematics Seminar September 28, 2016

My IGL team-Co-advised by Dr. Rosemary Guzman , for the project "Discrete Morse Theory, Vector Fields, and Materials Science" is presenting at the Undergraduate Math Symposium at the University of Illinois-Chicago, October 15, 2016.

Mathematical Biology Seminar at University of California, Davis, October 31, 2016.

Joint Mathematics Meetings in Atlanta, GA, January 4-7, 2017, MRC Special Session on Algebraic Statistics and AMS Special Session on Theory and Applications of Numerical Algebraic Geometry

Voy a ir a CIMAT durante la primavera 2017.

SIAM Conference on Applied Algebraic Geometry, July 31-August 4, 2017 at the Georgia Institute of Technology in Atlanta, Georgia.

Speaking at the "Algebraic and Combinatorial Phylogenetics" Workshop June 26-30, 2017, part of the Mediterranean Month in Phylogenetics, June 12th-July 10th, 2017 in Barcelona and Porquerolles, sponsored by BGS Math.

Here is a flyer advertising the graduate class "Polyhedra in the Wild" that I taught in Spring 2016, and the main course page.

I also supervised a project in the Illinois Geometry Lab titled "Discrete Morse Theory, Vector Fields, and Materials Science" that is continuing in Fall 2016.

In 2014, I received my Ph.D. from the Mathematics department at North Carolina State University under the supervision of Patricia Hersh and Seth Sullivant.

In 2009, I received my B.S. in Mathematics at the University of Washington, Seattle. My undergraduate thesis supervisor was Sara Billey.

In 2006, I received my A.A. from Seattle Central College, formerly known as Seattle Central Community College.

With Alex Yong and Laura Escobar Vega I am co-organizing the University of Illinois Algebra-Geometry-Combinatorics Seminar. In Fall 2016 we will meet Fridays 4-4:50 pm in 243 Altgeld Hall. Titles and abstracts for recent and upcoming seminars can be found here.

Talks and Events : talks, activities and events I've organized, and other conferences and workshops I've attended.

UIUC has a tremendous amount of seminar opportunities! If you are a student please consider making time for seminars. Seminar attendance will have a lasting impact-regardless of your career goals.

Systematics Discussion Group (no website): Fall 2016 Time and Place 407 Morrill Hall, 1 pm- contact me (though I am not the leader--) if you want to participate in this reading group

Program in Ecology, Evolution, and Conservation Biology (PEEC) seminar

Graph Theory and Combinatorics Seminar

Algebra-Geometry-Combinatorics Seminar (co-organizer, see above)