Button to scroll to the top of the page.
BLUMBERG, ANDREW J

Andrew J Blumberg

Associate Professor
Department of Mathematics

Frank E. Gerth III Faculty Fellowships

Algebraic topology

blumberg@math.utexas.edu


Office Location
RLM 10.160

Postal Address
The University of Texas at Austin
MATHEMATICS
2515 SPEEDWAY, Stop C1200
AUSTIN, TX 78712-1202

Ph.D., University of Chicago (2005)
M.S., University of Chicago (2001)
B.A., Harvard College (1998)

 

Publications (mathematics)

1. Andrew J. Blumberg and Michael A. Hill. Homotopy commutative multiplications in equivariant spectra. In preparation.

2. Vigleik Angeltveit, Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill, and Tyler Lawson. Relative cyclotomic spectra and topological cyclic homology via the norm. In preparation.

3. Andrew J. Blumberg, David Gepner, and Goncalo Tabuada. Homotopy invariant algebraic K-theory of stable 1-categories. In preparation.

4. Matthew Ando, Andrew J. Blumberg, and David J. Gepner. Equivariant units and equivariant twisted cohomology theories. In preparation.

5. Andrew J. Blumberg and Michael A. Mandell. The homotopy theory of cyclotomic spectra. Preprint (submitted), arxiv:1303.1694 [math.AT]

6. Andrew J. Blumberg, David Gepner, and Goncalo Tabuada. Higher K-theory of endomorphisms via non-commutative motives. Preprint (submitted), arxiv:1302.1214 [math.AT]

7. Andrew J. Blumberg and Emily Riehl. Homotopical resolutions associated to deformable adjunctions. Preprint, arxiv:1208.2844 [math.AT]

8. Vigleik Angeltveit, Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill, and Tyler Lawson. Interpreting the Bokstedt smash product as the norm. Preprint, arxiv:1206:4218 [math.AT]

9. Andrew J. Blumberg, Itamar Gal, Michael A. Mandell, and Matthew Pancia. Robust persistent homological invariants for metric measure spaces via resampling. Preprint (submitted), arxiv:1206.4581 [cs.CG]

10. Matthew Ando, Andrew J. Blumberg, and David J. Gepner. Generalized parametrized objects, multiplicative Thom spectra, and twisted umkehr maps. Preprint (submitted), arxiv:1112.2203 [math.AT]

11. Andrew J. Blumberg and Michael A. Mandell. Localization for T HH(ku) and the topological Hochschild homology of Waldhausen categories. Preprint (submitted), arxiv:1111.4003 [math.AT]

12. Andrew J. Blumberg and Michael A. Mandell. Quantitative homotopy theory in topological data analysis. Preprint (submitted).

13. Andrew J. Blumberg, David Gepner, and Goncalo Tabuada. Uniqueness of the multiplicative cyclotomic trace. To appear in Advances in Mathematics (2013).

14. Andrew J. Blumberg, David Gepner, and Goncalo Tabuada. A universal characterization of higher algebraic K-theory. Geometry and Topology 17 (2013), 733-838.

15. Andrew J. Blumberg and Michael A. Mandell. Localization theorems in topological Hochschild homology and topological cyclic homology. Geometry and Topology 16 (2012), 1053-1120.

16. Matthew Ando, Andrew J. Blumberg, David J. Gepner, Michael J. Hopkins, and Charles Rezk. Units of ring spectra and Thom spectra. Preprint (split into two papers below for submission), arXiv:0810.4535 [math.AT]17. Matthew Ando, Andrew J. Blumberg, David J. Gepner, Michael J. Hopkins, and Charles Rezk.

17. Units of ring spectra and Thom spectra via structured ring spectra. To appear in Journal of Topology (2013).

18. Matthew Ando, Andrew J. Blumberg, David J. Gepner, Michael J. Hopkins, and Charles Rezk. Parametrized spectra, units, and Thom spectra via 1-categories. To appear in Journal of Topology (2013).

19. Matt Ando, Andrew J. Blumberg, andand David Gepner. Twists of K-theory and TMF. Proc. Symp. Pure Math., 81 (2010), 27-63.

20. Andrew J. Blumberg and Michael A. Mandell. Derived Koszul duality and involutions in the algebraic K-theory of spaces. Journal of Topology (2011) 4, 327-342.

21. Andrew J. Blumberg and Michael A. Mandell. Algebraic K-theory and abstract homotopy theory. Advances in Mathematics 226 (2011), 3760-3812.

22. Andrew J. Blumberg, Ralph L. Cohen, and Christian Schlichtkrull. T HH of Thom spectra and the free loop space. Geometry and Topology 14 (2010), 1165-1242.

23. Andrew J. Blumberg. T HH of Thom spectra which are E1 ring spectra. Journal of Topology 3
(2010), 535-560.

24. Andrew J. Blumberg, Ralph L. Cohen, and Constantin Teleman. Open-closed field theories, string topology, and Hochschild homology. Alpine perspectives on algebraic topology, edited by C. Ausoni, K. Hess, and J. Scherer, Contemp. Math. 504 (2009) 53-76.

25. Andrew J. Blumberg and Michael A. Mandell. The localization sequence for the algebraic K-theory of topological K-theory. Acta Mathematica 200 (2008) 155-179.

26. Andrew J. Blumberg. Continuous functors as a model for the equivariant stable category. Algebraic and geometric topology 6 (2006) 2257-2295.

27. Andrew J. Blumberg. A discrete model for S1-equivariant homotopy theory. Journal of Pure and Applied Algebra Journal of Pure and Applied Algebra 210 (2007) 29-41.

Publications (privacy and security)

1. Justin Thaler, Victor Vu, Andrew J. Blumberg, and Michael Walfish. Verifiable computation with multiple interactive provers. Submitted (2013).

2. Ben Braun, Ariel Feldman, Srinath Setty, Zuocheng Ren, Andrew J. Blumberg, and Michael Walfish. Verifying computations with state. To appear in Proceedings of the 24th ACM Symposium on Operating Systems Principles (SOSP), (2013).

3. Victor Vu, Srinath Setty, Andrew J. Blumberg, and Michael Walfish. A hybrid architecture for interactive verifiable computation. To appear in Proceedings of IEEE Symposium on Security and Privacy (2013).

4. Srinath Setty, Victor Vu, Benjamin Braun, Andrew J. Blumberg, Bryan Parno, and Michael Walfish. Resolving the conflict between generality and plausibility in verified computation. To appear in Proceedings of Eurosys (2013).

5. Srinath Setty, Victor Vu, Nikhil Panpalia, Benjamin Braun, Andrew J. Blumberg, and Michael Walfish. Taking proof-based verified computation a few steps closer to actual practicality. In Proceedings of Usenix Security Symposium (2012).

6. Srinath Setty, Richard McPherson, Andrew J. Blumberg, and Michael Walfish. Making argument systems for outsourced computation practical (sometimes). In Proceedings of the 19th Network and Distributed System Security Symposium (NDSS) (2012).

7. Raluca A. Popa, Andrew J. Blumberg, Hari Balakrishnan, and Frank Li. Location privacy and accountability in aggregate statistics for mobile systems. In Proceedings of ACM Conference on Computer and Communications Security (ACM CCS) (2011).

8. Srinath Setty, Andrew J. Blumberg, and Michael Walfish. Toward practical and unconditional verification of remote computations. In Proceedings of the 13th Workshop on Hot Topics in Operating Systems (HotOS) (2011).

9. Andrew J. Blumberg and Peter Eckersley. On locational privacy, and how to avoid losing it forever. Electronic Frontier Foundation whitepaper (2009).

10. Raluca A. Popa, Hari Balakrishnan, and Andrew J. Blumberg. Protecting privacy in location-based
vehicular services. In Proceedings of Usenix Security Symposium (2009).

  • 2012-2017 NSF CAREER Award
  • 2010-2012 DARPA Young Faculty Award
  • 2005-2009 NSF Postdoctoral Fellowship
  • 2005 Clay Mathematics Institute Liftoff Fellowship
  • 1998–1999 McCormick Fellowship, University of Chicago (deferred)
  • 1998 NSF Graduate Fellowship, Honorable mention