Graduate Program: Recent Graduates of the Mathematics PhD Program

Year	Name	Advisor	Thesis Title
2008	Clark Alexander	Boris Tsygan	Index theorems on noncommutative two-tori and Hochschild cohomology of quantum special linear groups
	Scott M. Bailey	Goerss	Topological splittings of spectra related to tmf\n\n
	Chenghao Chu	Eric Friedlander	Representing cohomology theories in the triangulated category of motives
	Alexander Guetmanenko	Boris Tsygan	Resurgent analysis of the Witten Laplacian in one dimension
	Christopher Novak	John Franks	Group actions via interval exchange transformations
	Fang Wang	Jeff Xia	Minimal measures for Lagrangian systems
2007	Marco Aldi	Eric Zaslow	A-branes and mirrot symmetry\n\n
	Dennis Borisov	Manin	Homotopy Gerstenhaber structure on deformation complex of a morphism\n\n\n\n\n\n
	Vivek Dhand	Vilonen	Geometric Langlands duality and forms of reductive groups\n\n\n\n\n\n
	Michael Johnson	Kra	Results on polynomial ergodic averages\n\n\n\n\n\n
	Mircea Voineagu	Friedlander	Semi-topological K-theory of certain projective varieties\n\n\n\n\n\n
2006	Andrea Carter	Emerton	The Brauer Groups of Del Pezzo Surface\n\n
	Jeremiah Heller	Friedlander	Semi-topological Cobordism for Complex Varieties
	Valentina Joukhovitski	Goerss	Topological modular forms and pⁿ-level structures at the prime p
	Anne McCarthy	Wilkinson	Rigidity of solvable group actions
	Paul Pearson	Goerss	The mod 2 homology of the connective spectrum of topological modular forms
	Matthew Salomone	Xia	Quasi-periodic continuation along a continuous symmetry
	Drew Youngren	Wunsch	Microlocal analysis of the anharmonic oscillator with large potential at infinity
	Hua Zhang	Xia	Symplectic partially hyperbolic diffeomorphisms
2005	Jun Chen	Chen	Transonic shocks and gas dynamics
	Xuezhi Andrew Cheng	Getzler	Transferring homotopy commutative algebraic structure
	Lisa Clay	Emerton	Some conjectures about the slopes of modular forms
	Young-Heon Kim	Getzler	Holomorphic extensions of laplacians and their determinants
	Radu Saghin	Xia	Generic properties of Lagrangian systems and conservative diffeomorphisms
	Zaiyong Alex Yang	Xia	Laminations and connecting orbits on lattice
	Dianwen Zhu	Chen	Euler equations and steady supersonic flows
2004	Todd Fisher	Wilkinson	On the structure of hyperbolic sets
	Mikhail Perepelitsa	Chen	Global existence of solutions with large, discontinuous initial data for the Navier-Stokes equations for compressible fluid flows
	Ethan Pribble	Goerss	Algebraic stacks for stable homotopy theory and the algebraic chromatic convergence theorem
	John Renze	Vilonen	Perverse sheaves on affine grassmannians of type A₁
	Kristen Schemmerhorn	Goerss	Unstable operations and the Bousfield-Kuhn functor
2003	Daniel Davis	Goerss	The Lubin-Tate spectrum and its homotopy fixed point spectra
	Christian Haesemeyer	Friedlander	Descent properties for homotopy K-theory
	Tianhong Li	Chen	Euler equations and compensated compactness
	Kamlesh Parwani	Franks	Braids for surface homeomorphisms
	Mark Pearson	Priddy	The Morava K-theory of homotopy orbit spaces: some good results for Abelian permutation groups
	Kathy Phelps	Mahowald	A study on the relationship between the cohomology of 2-groups and certain subalgebras of the mod-2 Steenrod algebra
2002	Elizabeth Burslem	Wilkinson	Centralizers of partially hyperbolic diffeomorphisms
	Charlie Che	Xia	Quasi-periodic Lagrangian systems on the annulus
	Seva Joukhovitski	Suslin	K-theory of the Weil transfer functor
	Vadim Meleshuk	Franks	Embedding templates in flows
	Julia Pevtsova	Friedlander	Infinite-dimensional modules for infinitesimal group schemes
	Alan Williams	Solla (Robinson)	Asymptotic stability of nonsymmetric neural networks by sink symmetrization
2001	Justin Mauger	Priddy	The cohomology of lie algebras associated with p-groups
	Scott Moar	Franks	Trapping regions for unstable manifolds via prime ends
	Oleg Pushin	Suslin	Steenrod operations in motivic cohomology
	Margarete Stawiska	Franks	Repellers for regular polynomial endomorphisms of C^k
	James Wiseman	Franks	Sofic shifts and the Conley index
	Tao Wu	Suslin	On Grayson's motivic complexes
2000	Simone Borghesi	Mahowald	Algebraic Morava K-theories and the higher degree formula
	Gary Gutman	Mahowald	Elliptic calculations in algebraic topology
	Tifei Qian	Xia	Heteroclinic orbits and chaotic invariant sets for monotone twist maps
	Alexander Scorichenko	Suslin	Stable k-theory and functor homology
	Scott Thatcher	Kapranov	Hecke eigenfunctions on rank-two vector bundles over elliptic curves
1999	Sarah Asher	Franks	The dynamics of continuous Baker maps
	Jason Holt	Burns	A rigidity result for surfaces with no conjugate points and an almost-periodic metric
	Mark Johnson	Goerss	Enriched sheaves as a framework for stable homotopy theory
	Bo Su	GQ Chen	Discontinuous solutions in L^∞ of Hamilton-Jacobi equations
	Christian Yankov	Kapranov	Serre functors, Coxeter functors and the Fourier-Sato transform
1998	John M. Alongi	Franks	Rotation vectors on compact surfaces
	Youngna Choi	Robinson	One dimensional Lorenz-like attractors
	Jason Douma	Priddy	Automorphisms of product of finite p-groups with applications to algebraic topology
	Joseph Franecki	Kapranov	The Gauss map and Euler characteristic on algebraic groups
	Antonio-Rodriguez Garcia	Robinson	Arnold diffusion near elliptic-hyperbolic fixed points
	Dave Richeson	Franks	Connection matrix pairs for the discrete Conley index
	Thy Tran	Fisher	Function-theoretic operator theory on finitely connected planar domains
1997	Ming-Cha Li	Robinson	Structural stability for numerical methods
	Serge Yagunov	Suslin	Geometrically originated complexes and the homology of the pair (GL_n,GM_n)
1996	Chris Bendel	Friedlander	Support varieties for infinitesimal algebraic groups
	Kirk Cogswell	Burns	Entropy and volume growth
	David Diller	DiBenedetto	Some nonlinear partial differential equations arising in thin film dynamics and the Ricci flow
	Michael Fiske	Saari
	John McDonald	Kapranov	Fractional power series expansions and resultants
	Jane McDougall	Fisher	A study of a family of non-linear functionals
	Satya Pemmaraju	Mahowald	v₂-periodic homotopy at the prime three
	Maria Tataru	Saari	Growth rate in multidimensional spatial voting