Organizing Committee
Abstract

Mathematical modelers face a variety of challenges, including summarizing large data sets to understand and explore a system of interest, inferring the model parameters most accurate for describing a given data set, and assessing the goodness-of-fit between data sets. Computational topology provides a lens through which these challenges may be addressed. At the same time, just as topological techniques provide opportunities for modelers, the challenges that modelers face give rise to opportunities for applied topologists. For instance, topologists may develop techniques that make model predictions based on the topology of experimental or simulation data, that analyze time-varying data, or that turn model outputs into formats suitable for machine learning.

This workshop brings together the applied mathematical modeling and applied topology communities, aiming to give modelers exposure to topological techniques still not commonly used in their community, and to give topologists exposure to modeling challenges that might stimulate the development of new techniques.

The workshop will include tutorial sessions on modeling and on applied topology, during which participants will learn by doing hands-on computational exercises. Because the broad goal of this workshop is to encourage collaboration between members of the applied modeling and topology communities, a significant portion of the week will be devoted to participants initiating research on problems proposed by the organizers. The research problems will afford the potential for continued collaboration beyond the workshop.

Application deadline is March 18, 2019.

Image for "Applied Mathematical Modeling with Topological Techniques"

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Monday, August 5, 2019
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 10:30am EDTModeling Tutorial #1 - Kara Maki, RIT College of Sciences11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:30pm EDTTopology Tutorial #1 - Brittany Fasy, Montana State University11th Floor Lecture Hall 
12:30 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:00pm EDTGroup Projects11th Floor Lecture Hall 
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup Projects11th Floor Lecture Hall 
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, August 6, 2019
TimeEventLocationMaterials
9:00 - 10:30am EDTTopology Tutorial #2 - Brittany Fasy, Montana State University11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:30pm EDTModeling Tutorial #2 - Kara Maki, RIT College of Sciences11th Floor Lecture Hall 
12:30 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:00pm EDTGroup Projects11th Floor Lecture Hall 
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup Projects11th Floor Lecture Hall 
Wednesday, August 7, 2019
TimeEventLocationMaterials
9:00 - 10:00am EDTGroup Projects11th Floor Lecture Hall 
10:00 - 10:30am EDTMid-Week Group Reports11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:30pm EDTGroup Projects11th Floor Lecture Hall 
12:30 - 12:40pm EDTWorkshop Group Photo11th Floor Lecture Hall 
12:40 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:00pm EDTModeling Talk 1 - Veronica Ciociannel, Mathematical Biosciences Institute - Ohio State University11th Floor Lecture Hall
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:30pm EDTTopology Talk 1 - Lori Ziegelmeier, Macalester College11th Floor Lecture Hall
4:30 - 5:00pm EDTProfessional Development Roundtable11th Floor Lecture Hall 
Thursday, August 8, 2019
TimeEventLocationMaterials
9:00 - 10:30am EDTGroup Projects11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:30pm EDTGroup Projects11th Floor Lecture Hall 
12:30 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:00pm EDTTopology Talk 2 - Michael Robinson, American University11th Floor Lecture Hall
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 4:30pm EDTModeling Talk 2 - Martin Short, Georgia Tech11th Floor Lecture Hall 
4:30 - 5:00pm EDTProfessional Development Roundtable11th Floor Lecture Hall 
Friday, August 9, 2019
TimeEventLocationMaterials
9:00 - 10:30am EDTGroup Projects11th Floor Lecture Hall 
10:30 - 11:00am EDTCoffee/Tea Break11th Floor Collaborative Space 
11:00 - 12:30pm EDTGroup Projects/ Report Preparation11th Floor Lecture Hall 
12:30 - 2:00pm EDTBreak for Lunch / Free Time  
2:00 - 3:00pm EDTGroup Reports11th Floor Lecture Hall 
3:00 - 3:30pm EDTCoffee/Tea Break11th Floor Collaborative Space 
3:30 - 5:00pm EDTGroup Reports11th Floor Lecture Hall 

Lecture Videos

Topology Talk 2

Michael Robinson
American University
August 8, 2019

Topology Talk 1

Lori Ziegelmeier
Macalester College
August 7, 2019

Modeling Talk 1

Veronica Ciocanel
Mathematical Biosciences Institute / Ohio State University
August 7, 2019