Research Highlights

Math careers in academia

AIM - October 2018

What is like to live the life of a math professor? There are many answers to this question, and they very much depend upon the nature of the mathematician’s institution. A professor at a private research university will have a different set of responsibilities and priorities to one at a liberal arts college, and different again, to someone at a large, state university. Differences also emerge...

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Undergraduate Proves a Conjecture in the Theory of Water Waves

ICERM - September 2018

Seung Wook So, an undergraduate participant in ICERM’s Spring 2017 program on “Singularities and Waves In Incompressible Fluids,” discovered a proof of a conjecture in the theory of water waves. The question of how steep traveling water waves can become has a long history, going back at least to Stokes [Sto47]. During the ICERM program, So studied the specific question: how steep can traveling...

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Accelerating molecular dynamics to reach unprecedented simulation times with atomistic accuracy

IPAM - September 2018

Molecular dynamics (MD), the numerical integration of the equations of motions of atoms and molecules, is one of the most powerful tools available to materials scientists, chemists, and biologists, because it provides a fully resolved view of the spatio-temporal evolution of materials. Because of its unparalleled predictive power, MD is extensively used to understand and optimize the properties...

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Why Zebrafish (Almost) Always Have Stripes

MBI - August 2018

Words by Jeff Grabmeier, Ohio State News, One of the most remarkable things about the iconic yellow and blue stripes of zebrafish is that they reliably appear at all. Zebrafish begin life as transparent embryos, with three types of pigment cells on their skin. As they develop, the pigment cells somehow manage to organize themselves almost without fail into the stripes we all...

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Data-to-Born Transform for Imaging with Waves

ICERM - August 2018

Imaging medium properties with waves is ubiquitous in geophysical seismic exploration, medical ultrasound diagnostics, non-destructive evaluation and testing of structures, radar and sonar surveying, etc. Most commonly, one obtains an image by probing the medium of interest with wave pulses emitted and recorded by an array of sensors. Typically, the image is based on the reflectivity, a...

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SAMSI Research Develops Improved Estimates of Ocean Heat Content Changes

SAMSI - June 2018

Ongoing research at the Statistical and Applied Mathematical Sciences Institute (SAMSI) has produced improved estimates of ocean heat content leading to a better understanding of which regions of the ocean are warming up and which ones are cooling down. This animation shows monthly vertically integrated ocean heat content anomalies for 2007-2016 using data from Argo profiling floats from the...

The 2016-17 IAS program on Homological Mirror Symmetry (HMS)

IAS - May 2018

Homological Mirror Symmetry Image by Ailsa Keating, used with permission The subject of the program in context HMS started with Kontsevich’s 1994 ICM address. By now, it is a mature area of mathematics in its own right, but still one that can be approached from many different directions, which interact fruitfully even when they remain formally (in the theorem-and-proof sense) independent. More...

A Few Self-driving Cars Can Dramatically Improve Traffic Flow

IPAM - April 2018

The presence of just a few autonomous vehicles can eliminate the stop-and-go driving of the human drivers in traffic. Under normal circumstances, human drivers naturally create stop-and-go traffic, even in the absence of bottlenecks, lane changes, merges or other disruptions. A small percentage of autonomous vehicles can have a significant impact on the road, eliminating waves and reducing the...

SAMSI & NC Central University Host Forensic Science Research Workshop

SAMSI - April 2018

David Banks, SAMSI Director, gives a talk on how statistics is used in the legal system during the Statistics in the Criminal Justice System Workshop, Mar. 24. Banks talked about his experiences appearing as an expert witness in a trial that centered on discriminatory practices used in law enforcement. The workshop was held at NCCU and was offered to undergraduate and graduate students...

Fall 2018 Emphasis Program: Analyzing Macro and Micro Population Models

MBI - April 2018

MBI’s Fall 2018 Emphasis Program will look at problems in modeling micro- and macro- populations in biological studies. From DNA molecules and viruses to humans, the collective behavior of individual components gives rise to the overall dynamics of the biological system. The program will explore mathematical, statistical and biological perspectives on analyzing data from such systems and on...