Research Interests
Algebraic K-theory, algebraic topology, Spectra, Calculus of Functors.
Education
Cornell University, Ph.D., June 1990
Awards and Honors
Beckman Associate in the Center for Advanced Study, University of Illinois, 1998-1999.
Sloan Research Fellowship, 1996-1998.
Sloan Dissertation Fellowship, 1989-1990.
Additional Campus Affiliations
Interim Associate Dean for Technology & Online Learning, College of Liberal Arts and Sciences
Faculty Director of Applied Technologies for Learning in the Arts & Sciences (ATLAS), College of Liberal Arts and Sciences
Professor, Mathematics
External Links
Honors & Awards
Beckman Associate in the Center for Advanced Study, University of Illinois, 1998-1999.
Sloan Research Fellowship, 1996-1998.
Sloan Dissertation Fellowship, 1989-1990.
Recent Publications
Bauer, K., Johnson, B., McCarthy, R., & Eldred, R. (2015). Cross effects and calculus in an unbased setting. Transactions of the American Mathematical Society, 367(9), 6671-6718. https://doi.org/10.1090/s0002-9947-2014-06447-7
Dundas, B. I., Goodwillie, T. G., & McCarthy, R. (2013). The Local Structure of Algebraic K-Theory. (Algebra and Applications; Vol. 18). Springer. https://doi.org/10.1007/978-1-4471-4393-2
Lindenstrauss, A., & McCarthy, R. (2012). On the algebraic K-theory of formal power series. Journal of K-Theory, 10(1), 165-189. https://doi.org/10.1017/is012003003jkt186
Lindenstrauss, A., & McCarthy, R. (2012). On the Taylor tower of relative K-theory. Geometry and Topology, 16(2), 685-750. https://doi.org/10.2140/gt.2012.16.685
Intermont, M., Johnson, B., & McCarthy, R. (2008). The rank filtration and Robinson's complex. Journal of Pure and Applied Algebra, 212(4), 735-752. https://doi.org/10.1016/j.jpaa.2007.07.009