Dubrovin (1999) Frobenius Manifolds, Isomonodromy Deformations, and Integrable Hierarchies .

Dubrovin (2002): Frobenius Manifolds and Integrable Systems  
Dwyer (2002): Lie groups and their classifying spaces
Eastwood (2000), Div, grad and all that .
Edidin(2002): Riemann-Roch for Quotients and Todd Classes of SimplicialToric Varieties
Eisenbud (2001): Chow Forms and Resultants - old and new
Faltings (2002): Introduction to Shimura Varieties
Faltings (2002): Line-Bundles on the Moduli-Space of G- Torsors
Faltings (2002): p-adic Hodge Theory, I
Faltings (2002): p-adic Hodge Theory, II
Fefferman (2001): Poincare metrics for conformal structure - Part I
Fefferman (2001): Poincare metrics for conformal structure - Part II
Freed (2001), Geometry & Topology of p-form Gauge Fields(1 [Slides][Aud ][Cam] ,2 [Slides][Aud ] ,3[Slides] [Aud] [Cam], 4 [Slides] [ Aud][Cam] )
Freed (2002): Introduction to Supersymmetry
Freed (1999), Introduction to Supersymmetry .
Frenkel (2002) : Affine Kac-Moody Algebras and Geometric Langlands Correspondence

Fukaya (2001), Asym. Analysis, Multivalued Morse Theory, and a Plan of a Proof of the Mirror Conj [ Slides] [Aud] [Cam

Fulton (2002): What is a Stack?
Gibbons (1999), Supergravity ( I , II , III , IV , V) III, IV, V )
III , IV , V)
Gibbons (2002): Geometry, Gravity and M-Theory  

Goldman (2002) : Branched Hyperbolic Structures and Rank 2 Higgs Bundles
Gompf (2000), Symplectic topology .
Gompf (2000) Topological characterizing symplectic manifolds .

Govindarajan (2001) D-branes and Vector Bundles on Calabi-Yau Manifolds: the View from the Helix
Graham (2001), Conformal Geometry, Einstein metrics and scattering .
Graham (2002): On Symmetric Degeneracy Loci
Gray (2000), A Hundred Years of the Hilbert Problems
Greene (2001), Aspects of Collapsing Cycles .
Griffiths (2000), Abel's Differential Equations
Griffiths (1998) Neo-modern Hodge theory
Gross (2001), Geometrical Appr to Mirror Symmetry (1 [Slides] [ Aud] [Cam] ,2 [Slides] [ Aud] [Cam] ,3 [Slides] [ Aud] [Cam] ,4 [Slides] [ Aud] [Cam] )
Gukov (2002) The geometry of rational conformal field theories .

Guillemin (2001): The mapping torus of a symplectic mapping
Haiman (2002), : Commutative Algebra of N Points in the Plane ( I , II , III)  
Hain (2002): Iterated Integrals and Motives

Hausel (2002): Intersection Theory on Toric Hyperkahler Varieties
Hausel (2002): Intersection Theory on the Moduli Space of Higgs Bundles
Hawking (2001) AdS, CFT and Cosmology .
Hirzebruch (1998) Why do I like Chern classes?
Hoffman (2001): Background Lecture
Hoffman (2001): A Family of Singly Periodic Minimal Surfaces Asymptotic to the Helicoid
Hori (2002): D-branes, Supersymmetry , and Mirror Symmetry
Hori (2001) Mirror Symmetry and its Applications .
Hori (2001), Derivation of Mirror Symmetry [Aud ] [Cam]

Horja (2001), Derived category automorphisms from mirror symmetry , 

Horowitz (2002) Comments on spacetime singularities .
Huisken (2001): New results on inverse mean curvature flow and the Penrose inequality  
Ilmanen (2001): Embedded Minimal Hypersurfaces with L^2 Curvature Bounds
Iqbal (2002): Del Pezzo Surfaces in String Theory
Joyce (2001): Constructions of Special Lagrangian m-folds in $\C^m$
Joyce (2001): Special LagrangianFibrations and the SYZ Conjecture  
Kapouleas (2001): Constructions of Minimal Surfaces by Gluing Minimal Immersion, I
Kapouleas (2001): Constructions of Minimal Surfaces by Gluing Minimal Immersion, II
Kapouleas (2001): Singular Perturbation Constructions for Minimal Surface
Kapranov (2002): Differential Graded Schemes in Algebraic Geometry
Kapranov (2002): A Riemann-Roch Theorem for (Higher) DeterminantalGerbes and Differentiable Manifolds

Katz (1999), Gopakumar-Vafa Invariants of Moduli Spaces of Holomorphic Curves and Integrality
Kirby (1998)   Problem Session
Klebanov (2002) Some stringy aspects of the AdS/CFT duality .
Kostant (2001): The generalized Cayley map from an algebraic group to its Lie algebra
Kresch (2002): Intersection Theory on Artin Stacks: Chow Groups for Artin Stacks
Lawson (1998) Algebraic cycles and the classical groups
Lax (2002),   Multiple Eigenvalues , slide .

Lazarsfeld (2002), An Introduction to Multiplier Ideals,  ( I , II , III )
Leung (2001), Mirror Symmetry -video-lan, -video-dialup, slides . 

Jun Li (1998) Comparison of algebraic and symplectic Gromov-Witten invariants
Jun Li (2002): Degeneration Formula of Gromov-Witten Invariants
Kefeng Liu (1998) Heat kernel, moment map and moduli space
Kefeng Liu (1998) Mirror Principle
Looijenga (2001), Arrangements and moduli spaces , 

Markman (2002) : Group Valued Higgs Bundles over a Punctured Elliptic Curve
Mazzeo (2001): Surgery on Geometric Structures and Applications

Meeks (2001) : Geometric Results in Classical Minimal Surface Theory, Lecture 1
Meeks (2001): Geometric Results in Classical Minimal Surface Theory, Lecture 2
Meeks (2001): A Survey of Unsolved Problems in Minimal Surface Theory and Approaches for Solving Them
Meeks (2001): Properly Embedded Minimal Surfaces in R^3 of Finite Topology, IV
Meeks (2001): Properly Embedded Minimal Surfaces in R^3 of Finite Topology, V

Melrose (2001) : The eta invariant as a determinant Moore (2001), D-Branes, RR-Fields and K-Theory(1 [Slides][ Aud][Cam] ,2[Slides] [Aud] [Cam],3 [Slides] [ Aud][Cam] ,4[Slides] [Aud] [Cam])

F. Morgan (2001) : Geometric Measure Theory and the Proof of the Double Bubble Conjecture ( 1 , 2 , 3 4 5 6 7 8 9 )

J. Morgan (1999), Bundles on elliptic frbrations. ( 1 , 2 , 3 )
J. Morgan (2002): Variations of Hodge Structure Associated to Calabi-Yau Three Folds with h^3=4
J. Morgan (1998) Holomorphic bundles over elliptic curves and families of del Pezzo surfaces
Morrison (1999), Essential Algebraic Geometry ( 1  , 2 )
Morrison (2002) Half K3 surfaces

Morrison (1999) TASI lectures on Duality and Compactification .
Morrison (1999), Canonical singularities. ( 1  ,  2 )
Mukai (2002): Invariant theory and moduli: from Cayley, Nagata to the Verlinde formula  
Nahm (2002): Exploring a Moduli Space: CFT on K3
Nakajima (2001), Equivar K-Theory of Moduli of Sheaves on ALE(2 [Slides][ Aud] [ Cam] ,3[Slides] [Aud] [Cam ],4 [Slides][ Aud][ Cam] )

Nekrasov (2002) Solution of N=2 gauge theories via instanton counting
Okounkov (2002): Gromov-Witten Theory of P^1 - Part II
Ooguri (1999): The AdS/CFT correspondence (I , II )
Ooguri (2002): Strings in AdS_3 and the SL(2,R) WZW Model

Orlov (2002) : Equivalences of Derived Categories of Coherent Sheaves  
Osserman (2001): A Historical Survey of some Aspects of Minimal Surfaces
Ozsvath (2000), The many faces of Floer homology .

Ozsvath (2000),   Holomorphic disks and three-manifolds invariants .
Pandharipande (2002) : Moduli spaces of curves and combinatorial models
Pandharipande (2002): Moduli spaces of Maps and GW Theory
Pandharipande (2002): Gromov-Witten Theory of P^1 - PartI

Pantev (2002) : Review of Abelian Hodge Theory  
Pantev (2002): Non-Abelian Hodge Theory in Degree One  
Pantev (2002): Higher Non-Abelian Hodge Theory, I
Pantev (2001) K3 Surfaces, Gerbes and T-Duality [Slides] [Aud ][Cam]
Pope (2002) Special holonomy and the conifold .
Reid (2002): Update on 3-folds
Y.B. Ruan (2002): Cohomology Ring of Crepant Resolutions of Orbifolds
Schoen (2001): Spectral issues in geometric variational problems
Schoen (2001): Mean Curvature in Riemannian Geometry and General Relativity, ( 1  ,  2  ,  3 )
Schoen (2001): Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds , Part I
Schoen (2001): Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds , Part II
Segal  (1999),   A Mathematician Looks at Quantum Field Theory ( I , II , III , IV , V )

Segal (1999),   Quantum Field Theory .

Segal (1999), Symplectic manifolds and quantization .
Singer (2000), Hermitian Line Bundles in String Theory and M Theory
Smirnov (2002): Quantization of Affine Jacobian and Duality

Spruck (2001) : Geometric Aspects of the Theory of Fully Nonlinear Elliptic Equations ( 1 ,  2 ,  3 , 4 )
Starr (2002): Quot Schemes for Deligne-Mumford Stacks
Sturmfels (2002): Multigraded Hilbert Schemes
Taubes The Geometry of the Seiberg-Witten Invariants 

Thaddeus (2002) : Higgs Bundle Spaces as Mirror Partners

R. Thomas (2001) Special Lagrangians and FloerHomology [Slides] [Aud] [Cam]

Thurston Are 3-manifolds transparent? Diamonds, glass and surgery

Toledo (2002): Fundamental Group of the Moduli Space of Real and Complex Cubic Surfaces
Topping (2001): Approaching the Willmore Conjecture via Integral Geometry
Vafa (2001), Dualities as Geometric Transitions [Slides] [Aud ][Cam]
Vafa (2002) "Superstrings and topological strings at large N

Vaintrob (2002) : Chiral De Rham Complex
Verdiere (2001): Singular Bohr-Sommerfeld rules

Verlinde (2001), Open/Closed String Duality, Or: How gravity couples to matter .

Verlinde (2001) Some challenges for string theory and holography

Wendland (2002): A Hiker's View of K3: Geometric Aspects of Conformal Field Theory

Wente (2001) : The Plateau and Douglas Problems for Surfaces of Constant Mean Curvature
B. White (2001): Minimal Surfaces and Total Curvature of Curves
B. White (2001): The Classical Plateau Problem
B. White (2001): Flat Chains Over General Coefficient Groups
Witten (2001), M-Theory Dynamics On A Manifold of G₂ Holonomy [Slides] [Aud ] [Cam]
Witten (2001),  Overview of K-Theory Applied to Strings
Witten (2001)  "String Theory" Tata Institute
Witten (2001) Quantum Gravity in desitter space .
Wolf (2001): Flat Structures
Wolf (2001): Moduli Spaces of Flat Structures and Period Problems
Wolf (2001): Handle Addition for Minimal Surfaces
Wolfson (2001): Variational Problems in Lagrangian Geometry: Special Lagrangian Submanifolds , Part III
Zelditch (2001): The inverse spectral problem for analytic plane domains
Weiping Zhang (2001) : An index theorem for Toeplitz operators on manifolds with boundary