2008 Spring

Brandman, Jeremy: S. Osher
“A level set method for calculating Eigen values of elliptic operators on closed surfaces and a proof of blow up of L^{\infinity} weak solutions of an aggregation equation.”

Busch, Joseph: Y. Moschovakis
“Lower bounds in arithmetic complexity via asymmetric embeddings.”

Hinde, Colin: P. Petersen
“The essence of the Ricci curvature.”

Kwon, Soonsik: T. Tao
“Low regularity problem of the higher order KdV type equations and the orbital stability issues of solution solutions.”

Landa, Yanina: S. Osher
“Visibility of point clouds and exploratory path planning in unknown environments.”

Leo, John: W. Duke
“Fourier coefficients of triangle functions.”

Lui, Lok Ming: T. Chan
“Computational conformal geometry and its applications to human brain mapping.”

Ni, Kang-Yu: T. Chan
“Variational PDE-based image segmentation and inpainting.”

O’Donnol, Danielle: R. Brown
“Intrinsically n-linked spatial graphs.”

Prescott, Tim: M. Biskup
“Invariance principles for random environments and shape theorems.”

Roy, Tristan: T. Tao
“Global Existence of the defocusing cubic wave equation in dimension 3.”

Sinapova, Dima: I. Neeman
“A model for a very good scale and a bad scale.”

Smith, S. Alex: L. Chayes
“Layered percolation on the complete graph.”

Souldatos, Ioannis: G. Hjorth
“Characterizable cardinals and local Hanf numbers.”

Thompson, Alex: G. Hjorth
“Some descriptive set theorist results related to infinite permutation group.”

Waelder, Robert: K. Liu
“Elliptic genera in Algebraic Geometry.”

Yanovsky, Igor: S. Osher
“Unbiased non-linear image registration.”

Zhu, Mingqiang: T. Chan
“Fast numerical algorithms for total variation based image restoration.”

2008 Winter

Epstein, Inessa:  G. Hjorth
“Some results on orbit inequivalent actions of non-amenable groups.”

2007 Summer

Cook, Ben:  A. Bertozzi
“Lubrication models for particle laden thin films.”

2007 Spring

Boisvert, Alex: A.Merkurjev
“A new definition of the Steenrod operations in algebraic geometry.”

Chung, Jason: L.Vese
“Co-linking properties of Euclidian neighborhood retracts in merger manifolds.”

Crawford, Nickolas:  L. Chayes/M. Biskup
“Mean field theories and models of statistical physics.”

Dokos, Pericles:  J. Rogawski
“On the combinatorial and spectral properties of finite quotients of the Bruhat-Tits building of type (C2) by discrete subgroups of PGSP4 and the arithmetic of quaternionic hermitian forms.”

Handy, John:  J. Garnett
“Bounded analytic functions on the complements of square Cantor sets:  the Corona problem and related problems.”

Ioana, Adrian:  S. Popa
“Rigidity results in the orbit equivalence theory of non-amenable groups.”

Jetter, Madeleine:  M. Green
“Steiner equivalence of convex bodies: analytic and algebraic perspectives.”

Kittrell, John:  G. Hjorth
“Full groups and hyperfiniteness.”

O’Dell, Steve:  G. Eskin
“Inverse scattering for Schrodinger type operators in exterior domains containing surfaces with interfaces.”

Ryckman, Eric:  R. Killip
“Spectral equivalencies for Jacobi matrices.”

Skeith, William:  D. Blasius/R. Ostrovsky
“Homomorphic encryption and non-interactive secure computation.”

Sun, Hae-Sung:  H. Hida
“Non-vanishing mod P of special L-values.”

Tanushev, Nick:  J. Ralston
“Gaussian beams: theory and applications.”

Upton, Margaret:  D. Blasius
“Galois representations attached to Picard curves and equidistribution of traces of Hecke operators for GL2."

2007 Winter

Chan, Stephen:  R. Edwards
“Co-linking properties of Euclidian neighborhood retracts in merger manifolds."

2006 Fall

Draganova, Anna:  Rothschild
“Asymptotic existence of decompositions of edge-colored graphs and hypergraphs."

Gilette, Allen:  Bertozzi
“Image inpainting using a modified Cahn-Hilliard equation.”

2006 Summer

Cai, Shuang:   Merkurjev
“Algebraic connective K-theory: A simple definition and its consequences.”

Fernandez, Rahul:  Varadarajan
“Airy functions associated to compact lie groups and their analytic properties.”

Park, Fred:  Chan
“Total variation and duality for blind image.”

2006 Spring

Bueti, John:  Tao
“A bound for the (n,k) maximal function via incidence combinatorics.”

Feigon, Brooke:  Rogawski
“Periods and relative trace formulas for GL (2) in the local setting.”

Folsom, Amanda:  Duke
“Modular units.”

He, Lin:   Osher
“Applications and generalizations of the iterative refinement method.”

Khamsemanan, N:   R. Brown
“An algprithim for calculating the MOD H Reidmaster trace of some maps of surfaces with boundary.”

Kim, Yon-seo:   K. Liu
“Localization method as a universal approach to The Gromov-Witten theory.”

Le, Triet:   Vese
“A study of image segmentation and decomposition in a variational approach.”

Leung, Shing-yu:   Osher
“Applications of the level set method to geometrical optics, transmission tomography, image processing and crystal growth modeling.”

Lieu, Lin:   Vese
“Contribution to problems in image restoration, decomposition, and segmentation by variational methods and partial differential equations.”

Oulette, Keith:    Rogawski
“On the Fourier inversion formula for reductive Adelic groups.”

Peterson, Jesse:   Popa
“I-chomology and rigidity in II-1 factors.”

Popa, Mihai:   Effros
“Combinatorial aspects in non-commulative analysis.”

Reite, Aaron:   R. Brown
“Computing the Schirmer number on homogeneous spaces.”

Schubert, Claus:  Elman
“New u-invariants of quadratic forms and function fields of good forms of height two.”               

Sze, Nang Keung:   Chan
“Multi-level optimization for VLSI circuit placement.”

Thiyanaratnam, P:   Caflisch
“Modeling and simulation of modified electro-deposition in 2 and 3 dimensions.”

Visan, Monica:   Tao
“The defocusing energy-critical non-linear Schrodinger equation in dimensions five and higher.”

Xu, Jinjun:  Osher
“Interactive regularization and non-linear inverse scale space in image restoration.”

2005 Fall

Lee, Catherine:   R. Brown
“The affect of smoothness and derivative conditions on the fixed point sets of smooth maps.”

Tsai, Ya-Ju:    Thiele
“Non linear Fourier transform.”

Wang, Chia-Ming:  Enquist
“Wavelet-based homogenization with application to flow in porous media.”

2005 Summer

Bae, Youri:   Caflisch
“Starin and structure in nanoscale systems.”

Klein, Silvius:    Thiele
“Spectral theory for discrete quasi-periodic Schrodinger operators.”

Nevai, Andrew:    Roberts
“Mathematical models of interspecies plant competition for light.”

2005 Spring

Bene, Alex:   K. Liu
“Intersections at cycles in the combinatorial moduli space.”

Biswas, Kingshook:   Perez-Marco
“On the geometry of Hedgehogs and log-Rieman surfaces.

Caston, Lauren:   Varadarajan
“Super lie groups and algebras, their actions and applications.”

Chung, Tsz Shun:   Osher
“Finite volume and discontinuous Galerkin methods for the numerical approximation of wave propogation problems.”

Jones, Nathan:    Duke
Almost all elliptic curves are Serre curves.’

Kostadinov, Boyan:   Varadarajan
“The Picard-Fuchs equation and its monodromy for a family of Calabi-Yau hypersurfaces in CP^{N-1}”

Lee, Sunim:   Caflisch
“Artificial boundary conditions for linear elasticity and atomistic strain models.”

Li, Xiaosheng:   Eskin
“Inverse scattering problem for system of differential operators.”

Molnar, Stephanie:    Thiele
“Sharp growth estimates for T(b) theorems.”

Monascu, Mona-Lis:   Merkurjev
“Borel-Moore homology and algebraic oriented theories.”

Nguyen, Lan:   Blasius
“The Ramanujan conjecture for Hilbert modular forms.”

Peng, Pan:   K. Liu
“Integral structure in Gromov-Witten theory.”

Staecker, Chris:  Brown
“The coincidence Reidemister trace.”

Tornquist, Asger:    Hjorth
“The Borel complexity of orbit equivalence.”

Weisbart, David:   Varadarajan
“Schrodinger operators with matrix potentials and convergence of quantum systems on grids.”

Yakes, Chris:   Gamelin
“Composition operators on L-domains.”

Yip, Ming Ham:   Chan
“Some mathematical models for data clustering.”

2005 Winter

Somogi, Zoltan:   Roberts
“Stability of an imploding spherical shock wave in a van der Waals gas.”

Virdol, Cristian:   Hida
“Zeta functions of twisted quaternionic Shimura varieties.”