**Time & Location**: All talks are on Tuesdays in Stanley Thomas 316 at 4:30 PM unless otherwise noted.

**Organizer**: Alexej Gossmann

September 20

**Selvi Beyarslan**Tulane University

**Abstract**:

September 27

**Alexej Gossmann**Tulane University

**Abstract**:

October 18

**Benjamin Boniece**Tulane University

**Abstract**:

What does it mean to take 1/2 of a derivative?

Or integrate 2/3 times? Or, more generally, can we find

a family of operators that `interpolate' the integral and derivative operators?

And what sort of questions can we answer with such tools?

Fractional Brownian motion (fBm) is a generalization of Brownian motion

that allows for correlated increments. In general, fBm lacks a key property

in stochastic integration theory -- it is not a semimartingale -- and so much

of the machinery from classical theory is unavailable

when considering integration questions related to fBm.

October 25

**Ellis Fenske**Tulane University

**Abstract**:

In this short talk I will discuss protocols based on public key cryptography, with a brief discussion of the number theory underpinning much of modern asymmetric cryptography and a primary focus on a variety of cryptographic constructs we can design using only public-key cryptography as a building block: signatures, commitments, shuffles, and zero knowledge proofs.

November 1

**Roseanna Gossmann**Tulane University

**Abstract**:

A simplified numerical model is used to explore the forces on an infant during human birth. Numerical results are compared with the results of a physical model which represents the fetus moving through the birth canal using a rigid cylinder (fetus) that moves at a constant velocity through the center of a passive elastic tube (birth canal). The entire system is immersed in a highly viscous fluid; low Reynolds number allows the Stokes equations to approximate fluid behavior. The pulling force necessary to move the rigid inner cylinder at a constant velocity through the tube is measured, and considered along with the time-evolving behavior of the elastic tube. The discrete tube through which the rigid cylinder passes has macroscopic elasticity matched to the tube used in the physical experiment. The buckling behavior of the elastic tube is explored by varying velocity, length, and diameter of the rigid cylinder, and length of the elastic tube. More complex geometries as well as peristaltic activation of the elastic tube can be added to the model to provide more insight into the relationship between force and velocity during human birth.

November 8

**Sankhaneel Bisui and Sushovan Majhi**Tulane university

**Abstract**:

We will eat pizza with Euclidean seasoning and non-Euclidean toppings. We will start with Euclidean postulates and show the transition to the non-Euclidean geometry, especially hyperbolic geometry. Along with various classical models of hyperbolic geometry, we shall touch upon some applications of this strange geometry. We will also present how the physical world is related to geometry, or geometry is related to the physical world... who knows??

November 15

**Nathan Glatt-Holtz**Tulane University

**Abstract**:

I will illustrate the many roles that probability and statistics play

in my research concerning turbulent fluid flows.

November 29

**Althea Topek and Raquel Horlick**Tulane University

**Abstract**:

This will be a special information session introducing the elements of the library and those resources of particular interest to mathematics resarchers. Topics will include Interlibrary Loan, graduate study spaces, BibTeX and alternatives, e-books and journals, as well as other research tools such as Browzine and TOC alerts.

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**Abstract**: TBA

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**Abstract**: TBA

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**Abstract**: TBA

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Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu