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Indiana University Bloomington


Chair
Elizabeth Housworth
(812) 855-2200


Topology

There is a very active group with interests including Geometric Topology (eg. Classical Knot Theory, 4-Manifold Theory, Higher Dimensional Knot and Link Theory, and Surgery Theory) and Algebraic Topology (eg. K-theory and Transformation Groups). Graduate topology courses are offered every semester, with topics courses running on alternate years. Graduate students participate in our weekly seminars and are encouraged to give regular talks. Many of our graduate students have gone on to academic positions in mathematics departments.


Faculty in this Research Group

Corrin Clarkson, Zorn Postdoctoral Fellow
Education: Ph.D. Columbia University, 2014
Email:
Homepage: http://pages.iu.edu/~cjclarks


James F. Davis, Professor
Education: Ph.D. Stanford Univ., 1982, Advisor: J. Milgram
Email:
Homepage: http://www.indiana.edu/~jfdavis/

Algebraic topology, geometric topology, surgery theory.


Allan L. Edmonds, Professor Emeritus
Education: Ph.D. Univ. of Michigan, 1973, Advisor: F. Raymond
Email:
Homepage: http://pages.iu.edu/~edmonds

Geometric Topology, Transformation Groups, Low-Dimensional Topology, Four-dimensional manifolds, Metric Geometry, Convex Geometry


Paul Kirk, Professor
Education: Ph.D. Brandeis Univ., 1988, Advisor: J. Levine
Email:
Homepage: http://pages.iu.edu/~pkirk

Geometric Topology, Gauge Theory, Symplectic Topology


Peter Lambert-Cole, Zorn Postdoctoral Fellow
Education: Ph.D. Louisiana State University, 2014
Email:
Homepage: http://pages.iu.edu/~pblamber/

Contact and symplectic topology; low-dimensional topology


Ayelet Lindenstrauss, Professor
Education: PhD. Princeton Univ., 1992, Advisor: W-C. Hsiang
Email:
Homepage: http://pages.iu.edu/~alindens/

Algebraic Topology, Algebraic K-theory, Cyclic homology


Charles Livingston, Professor
Education: Ph.D. U.C. Berkeley, 1980, Advisor: R. Kirby
Email:
Homepage: http://pages.iu.edu/~livingst/

Geometric Topology, low-dimensional manifolds, knot theory


Michael A. Mandell, Professor & Director of Graduate Studies
Education: University of Chicago, 1997
Email:
Homepage: http://pages.iu.edu/~mmandell

Homotopy theory, stable homotopy theory, algebraic K-theory.


Jeffrey Meier, Zorn Postdoctoral Fellow
Education: Ph.D., The University of Texas at Austin, 2014
Email:
Homepage: http://pages.iu.edu/~jlmeier/


Danielle O'Donnol, Visiting Assistant Professor
Education: Ph.D. UCLA, 2008
Email:
Homepage: http://pages.iu.edu/~odonnol/


Kent Orr, Professor
Education: Ph.D. Rutgers, 1985, Advisor: J. L. Shaneson
Email:
Homepage: http://pages.iu.edu/~korr/

Geometric topology, algebraic topology and homological algebra


Charmaine Sia, Zorn Postdoctoral Fellow
Education: Ph.D. Harvard University, 2015
Email:

Algebraic topology, homotopy theory, the theory of topological modular forms, structured ring spectra, forms of K-theory


Dylan Thurston, Associate Professor
Education: Ph.D. University of California - Berkeley, 2000
Email:
Homepage: http://pages.iu.edu/~dpthurst

Geometric and quantum low-dimensional topology and related fields, including Heegaard Fleor homology and its extension to 3-manifolds with boundary, rigidity of graphs in space, cluster algebras, geometric intersection numbers for curves on surfaces, and finite-type invariants.


Vladimir Touraev, Boucher Professor
Education: Steklov Math. Inst, Academy of Science, Moscow, 1979
Email:

Topology and its ramifications Primary research interests are in low-dimensional topology, quantum topology, knot theory, and their interactions with mathematical physics


Faculty With Related Research Interests

Matt Bainbridge, Assistant Professor
Education: Harvard University, 2006
Email:
Homepage: http://pages.iu.edu/~mabainbr/

Teichmuller theory, rational billiards, and related questions involving ergodic theory, algebraic geometry, and Hilbert modular varieties.


Chris Connell, Associate Professor
Education: Ph.D. University of Michigan, 1999
Email:
Homepage: http://pages.iu.edu/~connell/

Differential geometry, geometric aspects of ergodic theory and random walks.


David Fisher, Professor
Education: University of Chicago, 1999
Email:
Homepage: http://pages.iu.edu/~fisherdm/

Rigidity in geometry and dynamics; analytic and geometric group theory; ergodic theory; Lie groups, their discrete subgroups and generalizations.


Christopher Judge, Professor
Education: Ph.D. University of Maryland, 1993
Email:
Homepage: http://pages.iu.edu/~cjudge/

analysis, geometry, and topology


Matvei Libine, Assistant Professor
Education: Harvard University, 2002
Email:
Homepage: http://pages.iu.edu/~mlibine/

representation theory, symplectic geometry, equivariant forms and equivariant cohomology, quaternionic analysis


Ji-Ping Sha, Associate Professor
Education: SUNY at Stony Brook, 1986
Email:

Geometry and Topology of Riemannian Manifolds, Manifolds with Nonnegative Curvature


Noah Snyder, Assistant Professor
Education: Ph.D. University of California - Berkeley, 2009
Email:

Low-dimensional topology; tensor categories; subfactors; quantum groups; and topological field theories.


Matthias Weber, Professor
Education: Universitat Bonn, 1993
Email:
Homepage: http://pages.iu.edu/~matweber/index.html

Minimal Surfaces Complex Differential Geometry Teichm´┐Żller Theory Hyperbolic Geometry