BASIC NOTIONS SEMINAR: Whitney and his umbrella

Composition semigroup on some analytic spaces of the upper half plane

Analysis Seminar "On the number of lower sets with fixed cardinality"

The Euclidean algorithm on number fields and related problems

Weighted A Priori Estimates for Solutions of Uniformly Elliptic Systems

ANALYSIS SEMINAR: Up to the Boundary Gradient Estimates in Bernoulli Type Free Boundary Problems

The variance of a general class of multiplicative functions in short intervals

Hopf-Galois Extensions and Applications

ANALYSIS SEMINAR: Up to the Boundary Gradient Estimates in Bernoulli Type Free Boundary Problems

BASIC NOTIONS SEMINAR on 'Superlinear Structures and Conformal Geometry'

The variance of a general class of multiplicative functions in short intervals

On the Equality of Test Ideals

Valedictory function

Castelnuovo-Mumford Regularity of Powers of an Idea

F-rationality of Rees Algebras

Tight closure

Hilbert-Samuel Coefficients of Frobenius Powers of an Ideal

F-signature of Some Hypersurfaces

Categorical Approaches to Local Singularities

Remarks on Macaulayfications of Noetherian Schemes

Bounds on the Number of Generators of Prime Ideals

The 3 Differents

Infinite Free Resolutions

On the Resurgence and Asymptotic Resurgence of Homogeneous Ideals

Nash Blowups in Prime Characteristic

General Hyperplane Section of Log Canonical Threefolds in Positive Characteristic

Frobenius Maps on the Rings of Invariants

Normal and Tight Hilbert Polynomials

Residual Intersections

The Mathematical Contributions of Craig Huneke: a Sampler

Geometry of the tight closure operation

Singularities and Hilbert Functions

On a Generalization of two Results of Happel to Commutative Rings

Finite Presentation for the Tame Fundamental Group in Positie Characteristic

Reduced type in one dimensional analytic algebras

50 Years of Mathematics: the Work of Melvin Hochster

Symbolic Rees algebras and set-theoretic complete intersections

Hilbert-Kunz density function and its applications to some Hilbert-Kunz multiplicity con- jectures

Algebraic and homological properties of Polyominoes

Gorenstein Property of normalized tangent cones of integrally closed ideals of 2-dimensional normal

Blowup Algebras of Determinantal Ideals in Prime Characteristic

Analytic Spread of Filtrations

Upper bounds on two Hilbert coefficients

(A,d)-modules, Hochschild homology and higher derivations

Singularities via BCM Algebras

Image of linear derivations and Mathieu-Zhao subspaces

Singularity invariants in positive characteristic

Basic Notions Seminar on Fourier optimization and number theory

The v-Number of Monomial Ideals

Betti sequence of the projective closure of affine monomial curve

Affine semigroups of maximal projective dimension

Bounds for the reduction number of primary ideals in dimension three

F-singularities — applications of characteristic p methods to singularity theory

Vector bundles and tight closure

Affine semigroups of maximal projective dimension

Tight Hilbert polynomial and F-rational local rings

Invariants of binomial edge ideals via linear programs

Symbolic powers of edge ideals of weighted oriented graphs

Singularities via BCM Algebras

Singularity invariants in positive characteristic