Contact Information
702 S. Wright Street, MC-448
Urbana, IL 61801
Research Areas
Biography
I am a mathematician specializing in algebraic topology. My research involves interactions between algebraic topology, algebraic geometry, and mathematical physics. I joined the University of Illinois in 1999, and served as chair of the Department of Mathematics from 2011 to 2016. I am currently the Associate Dean of the Sciences in the College of LAS.
Research Interests
Homotopy theory, formal groups, analysis on loop spaces, elliptic cohomology and representation theory.
Additional Campus Affiliations
Associate Dean, College of Liberal Arts and Sciences
External Links
Honors & Awards
LAS Deans Award for Excellence in Undergraduate Teaching, 2007
Recent Publications
Ando, M., Blumberg, A. J., & Gepner, D. (2018). Parametrized spectra, multiplicative thom spectra and the twisted umkehr map. Geometry and Topology, 22(7), 3761-3825. https://doi.org/10.2140/gt.2018.22.3761
Ando, M., Blumberg, A. J., Gepner, D., Hopkins, M. J., & Rezk, C. (2014). An ∞-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology. Journal of Topology, 7(3), 869-893. [jtt035]. https://doi.org/10.1112/jtopol/jtt035
Ando, M., Blumberg, A. J., Gepner, D., Hopkins, M. J., & Rezk, C. (2013). Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Journal of Topology, 7(4), 1077-1117. [jtu009]. https://doi.org/10.1112/jtopol/jtu009
Ando, M., & Sharpe, E. (2012). Elliptic genera of landau-ginzburg models over nontrivial spaces. Advances in Theoretical and Mathematical Physics, 16(4), 1087-1144. https://doi.org/10.4310/ATMP.2012.v16.n4.a1
Ando, M., & Greenlees, J. P. C. (2011). Circle-equivariant classifying spaces and the rational equivariant sigma genus. Mathematische Zeitschrift, 269(3-4), 1021-1104. https://doi.org/10.1007/s00209-010-0773-7