### Applied Interdisciplinary Mathematics

#### Direct integral equation solvers for Maxwell's equations using randomized butterfly schemes

We demonstrate a new direct integral equation solver for high-frequency electromagnetic analysis that derives from butterfly, a.k.a....

### Preprint Algebraic Geometry Seminar

#### Grothendieck Ring of varieties and derived equivalence of varieties.

I will discuss a conjecture of A. Kuzntesov and E. Shinder that asserts that the difference [X]-[Y] of the classes of two algebraic...

### Student AIM Seminar

#### Local Differential Privacy for Physical Sensor Data

In recent years wireless technology has allowed the power of lightweight (thermal, light, motion, etc.) sensors to be explored. This data...

### Geometry & Physics

#### Zeta functions of alternate mirror Calabi-Yau pencils

Exploiting intuition from mirror symmetry, we prove that if two Calabi-Yau invertible pencils in projective space have the same dual...

### Colloquium Series

#### Differential Equations, Algebraic Groups, and Patching for Torsors

Differential Galois theory is an algebraic theory for linear differential equations, in analogy to classical Galois theory. It was proposed...

### Financial/Actuarial Mathematics

#### Martingale optimal transport with stopping

We solve the martingale optimal transport problem for cost functionals represented by optimal stopping problems. The measure-valued...

### Financial/Actuarial Mathematics

#### Data driven nonlinear expectations for statistical uncertainty

In practice, stochastic decision problems are often based on statistical estimates of probabilities. We all know that statistical error may...

### Analysis/Probability Learning Seminar

#### A discrete version of Koldobsky's slicing inequality

The well-known (and still open) slicing problem in Convex Geometry asks whether there exists an absolute constant c so that for every...

### Applied Interdisciplinary Mathematics

#### Fast phase retrieval from local correlation measurements

We propose a phase retrieval approach that uses correlation-based measurements with compactly supported measurement masks. The algorithm...

### Preprint Algebraic Geometry Seminar

#### Nilpotence of Frobenius action and the Hodge filtration on local cohomology (following Srinivas and Takagi)

https://arxiv.org/abs/1503.08772 Speaker(s): Karen Smith (UM)

### Complex Analysis, Dynamics and Geometry

#### Typical dynamics of plane rational maps with equal degrees

It is known in many cases that the dynamics of a rational self-map of the complex plane is broadly governed by two numerical invariants, the...

### Geometry & Physics

#### On a conjecture of Lehn

Formulas for the integrals of top Segre classes of tautological bundles over the Hilbert scheme of points of surfaces were conjectured in...

### Applied Interdisciplinary Mathematics

#### Convex variational methods for multiclass data segmentation on graphs

Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data,...

### Preprint Algebraic Geometry Seminar

#### Vanishing of the higher direct images of the structure sheaf (following Chatzistamatiou and RÃƒÂ¼lling)

https://arxiv.org/abs/1404.1827 Speaker(s): Takumi Murayama (UM)

### Geometry & Physics

#### TBA

Speaker(s): Bohan Fang (Beijing International Center for Mathematical Science)

### Colloquium Series

#### Energy Identity for Stationary Yang Mills

Yang Mills connections over a principle bundle are critical points of the energy functional \int |F|^2, the L^2 norm of the curvature, and...

### Analysis/Probability Learning Seminar

#### Quantitative Questions for Real Polynomials

In this talk, we will briefly survey some known results and open problems from real algebra of polynomials along side with related...

### Arithmetic Geometry Learning Seminar

#### Spring lectures in algebraic geometry

Speaker(s): Zhiwei Yun (Yale)