Lunt Hall, home of the Math Department

Graduate Program: Recent Doctorates

Year Name Advisor Thesis Title
2009 Kal Nanes Wilkinson On the Ergodicity of Partially Hyperbolic Group Actions
Cheng Ouyang Hsu Asymptotics of Implied Volatility in Local Volatility Models
Randy Qian Wunsch Diffractive Theorems for the Wave Equation with Inverse Square Potential
2008 G. Clark Alexander Tsygan Index theorems for noncommutative two-tori and Hochschild cohomology for quantum special linear groups
Scott M. Bailey Goerss Topological splittings of spectra related to tmf
Chenghao Chu Friedlander Representing cohomology theories in the triangulated category of motives
Alexander Getmanenko Tsygan Resurgent analysis of the Witten Laplacian in one dimension
Christopher Novak Franks Group actions via interval exchange transformations
Fang Wang Xia Minimal measures for Lagrangian systems
2007 Marco Aldi Zaslow A-branes and mirror symmetry
Dennis Borisov Manin Homotopy Gerstenhaber structure on deformation complex of a morphism
Vivek Dhand Vilonen Geometric Langlands duality and forms of reductive groups
Michael Johnson Kra Results on polynomial ergodic averages
Mircea Voineagu Friedlander Semi-topological K-theory of certain projective varieties
2006 Andrea Carter Emerton The Brauer groups of Del Pezzo surfaces
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
Kathleen 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
Charles Yuan 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 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 Ck
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 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 Garcia-Rodriguez 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 (GLn,GMn)
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 Non-autonomous dynamical systems applicable to neural computation
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