SelectedWorks - Christina Osborne, Ph.D.

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Scholarly Works of Christina Osborne, Ph.D.

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Assistant Professor of Mathematics

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About Christina Osborne, Ph.D.

Positions

Present	Assistant Professor of Mathematics, Cedarville University ‐ Department of Science and Mathematics
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Disciplines

Physical Sciences and Mathematics and Mathematics

Research Interests

Algebraic Topology and Homotopy Theory

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	M.Sc., University of California, Riverside
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	Mt. San Jacinto Community College
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	B.S., California Baptist University
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	Ph.D., University of Virginia
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Links

Department of Science and Mathematics
DigitalCommons@Cedarville
Centennial Library

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Department of Science and Mathematics

Cedarville University

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Papers
Invited Talks
Talks

Papers (2)

A First Step Toward Higher Order Chain Rules in Abelian Functor Calculus (Christina Osborne and Amelia Tebbe) Advances in the Mathematical Sciences (2018)

One of the fundamental tools of undergraduate calculus is the chain rule. The notion of higher order directional derivatives was developed by Huang, Marcantognini, Young in Huang et al. (Math. Intell. 28(2):61–69, 2006), along with ...

Directional Derivatives and Higher Order Chain Rules for Abelian Functor Calculus (Kristine Bauer, Brenda Johnson, Christina Osborne, et al.) Topology and its Applications (2018)

In this paper, we consider abelian functor calculus, the calculus of functors of abelian categories established by the second author and McCarthy. We carefully construct a category of abelian categories and suitably homotopically defined functors, ...

Invited Talks (5)

Decomposing the Classifying Diagram in Terms of Classifying Spaces of Groups (Christina Osborne) Florida State University (2021)

Decomposing the Classifying Diagram in Terms of Classifying Spaces of Groups (Christina Osborne) École polytechnique fédérale de Lausanne (2020)

Old and New Chain Rules (Christina Osborne) Calvin University (2020)

Old and New Chain Rules (Christina Osborne) Siena College (2020)

Decomposing the Classifying Diagram in Terms of Classifying Spaces of Groups (Christina Osborne) Topology Seminar, University of Kentucky (2019)

Talks (17)

Decomposing the Classifying Diagram in Terms of Classifying Spaces of Groups (Christina Osborne) Homotopy Theory Seminar, Ohio State University (2019)

Old and New Chain Rules (Christina Osborne) Undergraduate Math Club, University of Virginia (2018)

The Classifying Diagram of the Category of Finite Sets (Christina Osborne) The Joint Mathematics Meetings: AMS Contributed Paper Session (2018)

The Classifying Diagram of the Category of Finite Sets (Christina Osborne) Graduate Student Seminar, University of Virginia (2017)

Investigations of the Classifying and Classification Diagrams (Christina Osborne) Lloyd Roeling Topology Conference, University of Louisiana at Lafayette (2017)

Old and New Chain Rules (Christina Osborne) The MAA MD-DC-VA Section, Christopher Newport University (2017)

Old and New Chain Rules (Christina Osborne) Mathematics Seminar, Randolph-Macon College (2017)

A Higher Order Chain Rule for Abelian Functor Calculus (Christina Osborne) AWM Research Symposium: Homotopy Theory Session, Univeristy of California, Los Angeles (2017)

Directional Derivatives & Higher Order Chain Rules for Abelian Functor Calculus (Christina Osborne) AMS Sectional Meeting: Homotopy Theory Session, Indiana University, Bloomington (2017)

The First Step Towards Higher Order Chain Rules for Abelian Functor Calculus (Christina Osborne) Graduate Student Seminar, University of California, Riverside (2017)

The First Step Towards Higher Order Chain Rules for Abelian Functor Calculus (Christina Osborne) Union College Mathematics Conference, Union College (2016)

The First Step Towards Higher Order Chain Rules for Abelian Functor Calculus (Christina Osborne) Topology Seminar, University of Virginia (2016)

Introduction to Calculus on Functors: Goodwillie and Beyond (Christina Osborne) Graduate Student Seminar, University of California, Riverside (2016)

Replacing a Map by a Cofibration (Christina Osborne) Topology Seminar, University of California, Riverside (2016)

Group Actions and Fiber Bundles (Christina Osborne) Topology Seminar, University of California, Riverside (2015)

Model Structures and Simplicial Presheaves (Christina Osborne) USC K-Theory Summer School, University of Southern California (2015)

Introduction to Model Categories (Christina Osborne) Graduate Student Seminar, University of California, Riverside (2015)

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