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About Me

Currently, I am a fifth-year University of Virginia graduate student. Dr. Julie Bergner is my thesis advisor.

As a Ph.D. in Mathematics student, my research interests are algebraic topology and abstract homotopy theory. One of the benefits of being a mathematics graduate student is having the opportunity to refine teaching skills while inspiring students to achieve academic excellence. After completing my doctoral degree, my career goal is to continue research while teaching mathematics in a tenure-track position.

In June 2014, I completed my Masters of Science in Mathematics at University of California, Riverside. My Bachelors of Science in Mathematics was completed at California Baptist University in May 2012. The expected completion of my doctoral degree from the University of Virginia is May 2018.

When I am not studying mathematics, I enjoy competing in various sports and playing piano. During my graduate student career, I have been a member of intramural softball, volleyball, and soccer teams with fellow math graduate students. Another interest is experimenting with photography while on nature hikes.


  • A first step toward higher order chain rules in abelian functor calculus is accepted (joint work with Amelia Tebbe)!
  • (Jan. 10) Giving a talk on "The classifying diagram of the category of finite sets" at the Joint Mathematics Meetings
  • (Nov. 18) Giving a talk on "Old and new chain rules" at the Mathematical Association of America MD-DC-VA section
  • (Nov. 11) Giving a talk on "Investigations of the classifying and classification diagrams" at the Lloyd Roeling Topology Conference
  • Serving as the Mentorship Program Chair for the Association of Women in Mathematics (AWM) student chapter at University of Virginia
  • Directional derivatives and higher order chain rules for abelian functor calculus is to appear in WIT II proceedings, Topology Appl. (collaborative research with Kristine Bauer, Brenda Johnson, Emily Reihl, and Amelia Tebbe)
  • Spring 2017 Dissertation Fellowship

Contact Information

Email: osborne (at) virginia (dot) edu

Office: Kerchoff 119

Office Hours

Fall 2017:

  • Tuesday 3pm - 4pm
  • Wednesday 4:45pm - 6pm
  • Friday 1pm - 2pm

Please feel free to schedule an appointment if you cannot make the scheduled office hours. I am passionate about helping students succeed in mathematics!