Organizing Committee
Abstract

Dehn surgery has played a central role in the development of low-dimensional topology since it was first introduced by Max Dehn in 1910. Its study has stimulated several fascinating techniques that incorporate ideas from across mathematics: hyperbolic geometry, representation varieties, combinatorics, sutured manifold theory, and Floer homology, to name a few. These tools have led to sensational progress in understanding problems about Dehn surgery and low-dimensional topology at large. Furthermore, they seem well-suited to attack the major open problems in the area, such as the Berge conjecture and the L-space conjecture.

The workshop will function as a graduate summer school. At its core, the school will feature a sequence of mini-courses delivered by a cast of leading experts and distinguished expositors. The courses will unveil Dehn surgery and this suite of techniques to the next generation of researchers in the area. The school will additionally feature guided problem sessions and special presentations on the important role that computation has played and will continue to play in the field.

While targeted at graduate students, the school welcomes applications from qualified future and former graduate students, as well. The main goal will be to enjoy a stimulating week of exploration around a fascinating and active area.

The five mini-courses will be led by Steve Boyer, Cameron Gordon, Marc Lackenby, Yi Ni, and Rachel Roberts.

This workshop is partially supported by NSF CAREER Award DMS-1455132. Please request the funding that you would require in order to be able to attend. Please disregard the standard language on the ICERM application page concerning limited graduate student funding. In particular, you do not need to prepare a poster to be eligible for funding.

For full consideration for funding, please apply no later than March 30, 2019.

Confirmed Speakers & Participants

  • Speaker
  • Poster Presenter
  • Attendee
  • Antonio Alfieri
    Central European University
  • Samantha Allen
    Dartmouth College
  • Christopher Anderson
    University of Miami
  • Kenneth Baker
    University of Miami
  • Adam Baranowski
    University of Cambridge
  • Brandon Bavier
    Michigan State University
  • Fraser Binns
    Boston College
  • Steven Boyer
    Université du Québec à Montréal
  • Jacob Caudell
    Boston College
  • Mustafa Cengiz
    Boston College
  • Tamunonye Cheetham-West
    Rice University
  • Sangbum Cho
    Hanyang University
  • Michelle Chu
    University of California, Santa Barbara
  • Irving Dai
    Princeton University
  • Subhankar DEY
    University at Buffalo, SUNY
  • Nathan Dowlin
    Columbia University
  • Joshua Drouin
    Kansas State University
  • Nathan Dunfield
    University of Illinois, Urbana-Champaign
  • Felix Eberhart
    Universitaet Regensburg
  • Viktória Földvári
    Eötvös Loránd University
  • Samuel Freedman
    Brown University
  • David Freund
    Harvard University
  • Xinghua Gao
    University of Illinois, Urbana-Champaign
  • Cameron Gordon
    University of Texas
  • Joshua Greene
    Boston College
  • Ji-Young Ham
    Chung-Ang University
  • Robert Haraway
    Oklahoma State University
  • Michael Harrison
    Pennsylvania State University
  • Kyle Hayden
    Columbia University
  • Eriko Hironaka
    AMS, Florida State University
  • Adam Howard
    Montana State University
  • Marius Huber
    Boston College
  • Kristóf Huszár
    IST Austria
  • Jonathan Johnson
    University of Texas at Austin
  • Sungmo Kang
    The University of Texas at Austin
  • Marc Kegel
    Humboldt-Universität zu Berlin
  • Juhyun Kim
    California Institute of Technology
  • Douglas Knowles
    Dartmouth College
  • Aleksandr Kolpakov
    University of Neuchâtel
  • Feride Ceren Kose
    The University of Texas at Austin
  • Siddhi Krishna
    Boston College
  • Marc Lackenby
    University of Oxford
  • Michael Landry
    Yale University
  • Justin Lanier
    Georgia Tech
  • Khanh Le
    Temple University
  • Chaeryn Lee
    University of Illinois Urbana-Champaign
  • Rachel Lehman
    University of Arkansas
  • Dustin Leininger
    North Carolina State University
  • Tao Li
    Boston College
  • Beibei Liu
    University of California, Davis
  • Clayton McDonald
    Boston College
  • Joseph Melby
    Michigan State University
  • Stefan Mihajlović
    Central European University
  • Maggie Miller
    Princeton University
  • Kyle Miller
    University of California, Berkeley
  • Jesse Moeller
    University of Nebraska - Lincoln
  • Kai Nakamura
    University of Texas Austin
  • Yi Ni
    Caltech
  • Jeffrey Norton
    Washington University in St. Louis
  • Sinem Onaran
    Hacettepe University
  • Jesus Oyola Pizarro
    Washington University in St. Louis
  • Insung Park
    Indiana University Bloomington
  • Anna Parlak
    University of Warwick
  • Lisa Piccirillo
    University of Texas
  • Sarah Rasmussen
    University of Cambridge
  • Rachel Roberts
    Washington University in St. Louis
  • Thomas Rodewald
    Georgia Institute of Technology
  • Carson Rogers
    Boston College
  • Nur Saglam
    University of California - Riverside
  • Geoffrey Sangston
    University of Maryland
  • Tanushree Shah
    Glasgow University
  • Oliver Singh
    Durham University
  • Alexander Stas
    Graduate Center, CUNY
  • Tom Stone
    Brown University
  • Luis Torres
    San Jose State University
  • Lev Tovstopyat-Nelip
    Boston College
  • Eric Towers
    Oklahoma State University
  • Samuel Tripp
    Dartmouth College
  • Linh Truong
    Columbia University
  • Bena Tshishiku
    Brown University
  • Anastasiia Tsvietkova
    Okinawa Institute of Science and Technology, Japan / Rutgers University, Newark
  • Hannah Turner
    University of Texas at Austin
  • Franco Vargas Pallete
    institute for Advanced Study
  • Konstantinos Varvarezos
    Princeton University
  • Laura Wakelin
    University of Cambridge
  • Yuhan Wang
    Brown University
  • Zachary Winkeler
    Dartmouth College
  • Adam Wood
    The University of Melbourne
  • William Worden
    Rice University
  • Ana Wright
    University of Nebraska at Lincoln
  • Andrew Yarmola
    Princeton University
  • Raphael Zentner
    University of Regensburg
  • Yanqing Zou
    Dalian Minzu University
  • Jonathan Zung
    Princeton University

Workshop Schedule

Monday, July 15, 2019
TimeEventLocationMaterials
8:30 - 8:55Registration11th Floor 
8:55 - 9:00Welcome11th Floor Lecture Hall 
9:00 - 9:10Workshop Overview - Joshus Greene, Boston College11th Floor Lecture Hall 
9:10 - 10:00Combinatorics of punctured surface intersections - Cameron Gordon, University of Texas11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:20Applications of character variety methods to Dehn surgery theory - Steven Boyer, Université du Québec à Montréal11th Floor Lecture Hall
11:30 - 1:00Break for Lunch / Free Time  
1:00 - 1:50Heegaard Floer homology and Dehn surgery - Yi Ni, CalTech 
2:00 - 2:50Computation Demonstration 1 - Kenneth Baker, University of Miami11th Floor Lecture Hall
3:00 - 4:00Office Hours and Coffee or Tea Break - Cameron Gordon & Steven Boyer11th Floor Collaborative Space
4:00 - 4:50Codimension-one foliations of 3-manifolds - Rachel Roberts, Washington University in St. Louis11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space 
Tuesday, July 16, 2019
TimeEventLocationMaterials
9:00 - 9:50Geometric approaches to Dehn surgery - Marc Lackenby, University of Oxford11th Floor Lecture Hall
10:00 - 11:00Office Hours and Coffee or Tea Break - Yi Ni & Rachel Roberts11th Floor Collaborative Space
11:00 - 11:50Combinatorics of punctured surface intersections - Cameron Gordon, University of Texas1th Floor Lecture Hall
12:00 - 1:30Break for Lunch / Free Time  
1:30 - 2:20Applications of character variety methods to Dehn surgery theory - Steven Boyer, Université du Québec à Montréal11th Floor Lecture Hall
2:30 - 4:00Office Hours and Coffee or Tea Break - Marc Lackenby, Cameron Gordon & Kenneth Baker11th Floor Collaborative Space
4:00 - 4:50Heegaard Floer homology and Dehn surgery - Yi Ni, CalTech11th Floor Lecture Hall
Wednesday, July 17, 2019
TimeEventLocationMaterials
9:00 - 10:00Codimension-one foliations of 3-manifolds - Rachel Roberts, Washington University in St. Louis11th Floor Lecture Hall
10:00 - 11:00Office Hours and Coffee or Tea Break - Steven Boyer & Yi Ni11th Floor Collaborative Space
11:00 - 11:50Geometric approaches to Dehn surgery - Marc Lackenby, University of Oxford11th Floor Lecture Hall
12:00 - 12:10Workshop Group Photo11th Floor Lecture Hall 
12:10 - 1:30Break for Lunch / Free Time  
1:30 - 2:20Computation Demonstration 2 - Nathan Dunfield, University of Illinois, Urbana-Champaign11th Floor Lecture Hall
2:30 - 4:00Office Hours and Coffee or Tea Break - Rachel Roberts & Marc Lackenby11th Floor Collaborative Space
4:00 - 4:50Combinatorics of punctured surface intersections - Cameron Gordon, University of Texas11th Floor Lecture Hall
Thursday, July 18, 2019
TimeEventLocationMaterials
9:00 - 9:50Applications of character variety methods to Dehn surgery theory - Steven Boyer, Université du Québec à Montréal11th Floor Lecture Hall
10:00 - 11:00Office Hours and Coffee or Tea Break - Cameron Gordon & Nathan Dunfield11th Floor Collaborative Space
11:00 - 11:50Heegaard Floer homology and Dehn surgery - Yi Ni, CalTech11th Floor Lecture Hall
12:00 - 1:30Break for Lunch / Free Time  
1:30 - 2:20Geometric approaches to Dehn surgery - Marc Lackenby, University of Oxford11th Floor Lecture Hall
2:30 - 4:00Office Hours and Coffee or Tea Break - Steven Boyer & Yi Ni11th Floor Collaborative Space
4:00 - 4:50Combinatorics of punctured surface intersections - Cameron Gordon, University of Texas11th Floor Lecture Hall
Friday, July 19, 2019
TimeEventLocationMaterials
9:00 - 10:00Codimension-one foliations of 3-manifolds - Rachel Roberts, Washington University in St. Louis11th Floor Lecture Hall
10:00 - 11:00Office Hours and Coffee or Tea Break - Marc Lackenby & Rachel Roberts11th Floor Collaborative Space
11:00 - 11:50Applications of character variety methods to Dehn surgery theory - Steven Boyer, Université du Québec à Montréal11th Floor Lecture Hall
12:00 - 1:30Break for Lunch / Free Time  
1:30 - 2:20Heegaard Floer homology and Dehn surgery - Yi Ni, CalTech11th Floor Lecture Hall
2:30 - 3:30Geometric approaches to Dehn surgery - Marc Lackenby, University of Oxford11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:50Open Problem Session - Rasmussen Greene11th Floor Lecture Hall 

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Lecture Videos

Geometric approaches to Dehn surgery

Marc Lackenby
University of Oxford
July 19, 2019

Applications of character variety methods to Dehn surgery theory

Steven Boyer
Université du Québec à Montréal
July 19, 2019

Codimension-one foliations of 3-manifolds

Rachel Roberts
Washington University in St. Louis
July 19, 2019

Geometric approaches to Dehn surgery

Marc Lackenby
University of Oxford
July 18, 2019

Applications of character variety methods to Dehn surgery theory

Steven Boyer
Université du Québec à Montréal
July 18, 2019

Computation Demonstration 2

Nathan Dunfield
University of Illinois, Urbana-Champaign
July 17, 2019

Geometric approaches to Dehn surgery

Marc Lackenby
University of Oxford
July 17, 2019

Codimension-one foliations of 3-manifolds

Rachel Roberts
Washington University in St. Louis
July 17, 2019

Applications of character variety methods to Dehn surgery theory

Steven Boyer
Université du Québec à Montréal
July 16, 2019

Geometric approaches to Dehn surgery

Marc Lackenby
University of Oxford
July 16, 2019

Codimension-one foliations of 3-manifolds

Rachel Roberts
Washington University in St. Louis
July 15, 2019

Computation Demonstration 1

Kenneth Baker
University of Miami
July 15, 2019

Applications of character variety methods to Dehn surgery theory

Steven Boyer
Université du Québec à Montréal
July 15, 2019