Graduate Program: Recent Graduates of the Mathematics PhD Program

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

In most years since 2002, the department has awarded a prize for the best thesis. The winners of this award are highlighted.