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Research Seminars: Graduate Student Colloquium


Past Graduate Student Colloquium:

Fall 2018

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


September 18

Unknotting the knotty notion of knots (and their finite type invariants)

Robyn Brookstulane University

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September 25

The Fisher-KPP equation and traveling waves in biology

SDana FerrantirTulane University

Abstract:

Dana





October 2

The Mathematics of Music

Nathan BedellTulane University

Abstract:

In this talk, I'll explain some of mathematical aspects of music theory. In particular, we will focus on the questions: "Why do we use the 12 notes per octave that we see today on a modern piano keyboard, and not some other collection?" and "Why does most of that music limit itself to certain 5 note (pentatonic) and 7 note (diatonic) subsets of that collection?" respectively. 


Our story starts with the history of tuning in the west -- from Pythagorean and meantone temperaments -- including the extended meantone tunings of the Renaissance era, to our modern system of 12 tone equal temperament, some of the various non-western systems of tuning, and finally, to the experimental temperaments that musicians in the "xenharmonic" community have used in recent years to expand the possibilities of our sonic pallet -- all of which will be illustrated with musical examples.




October 9

Extensions of set partitions

Diego VillamizarTulane University

Abstract:

 

In this talk we will show arithmetical and combinatorial properties of set partitions that have restrictions in the size of their blocks. This was a joint work with Jhon Caicedo, Victor Moll and Jose Ramirez.




October 16

Fractional Brownian Motion: Extensions & Estimation in 1-d, n-d and Beyond

Cooper BonieceTulane University

Abstract:

 

Fractional Brownian motion (fBm), whose origins date back to Kolmogorov, is one of the most celebrated models of scale invariance, and has been used in a wide variety of modeling contexts ranging from hydrology to economics.  In this talk, I will discuss some background related to scale invariance and fBm, introduce two extensions of fBm: tempered fractional Brownian motion (tfBm), and operator fractional Brownian motion (ofBm), and discuss some recent work related to wavelet-based estimation of tfBm (joint work with G. Didier, F. Sabzikar), as well as some preliminary results regarding estimation ofBm in a high-dimensional setting.






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