 David Galvin's Home Page


I am a professor and current department chair in the Department of Mathematics
at the University of Notre Dame in South Bend, Indiana. I am a member of the Discrete Math, Operations Research, and Probability group.
Please go here to see a short version of my CV, here to see my full CV, and here to track my mathematical tour of the US.
My research interests are in combinatorics, graph theory and discrete probability. My research is (and has been) supported by the Simons Foundation's Division for
Mathematics and the Physical Sciences, and is also supported by American Institute of Matjematics (via a SQuaRE), and has in the past been supported by the National Security Agency's Mathematical Sciences Program; I'm very grateful to all three organizations!

Contact details
Postal address: 
University of Notre Dame, Department of Mathematics, 255 Hurley Hall, Notre Dame, IN 465564618 
Office:  136 HayesHealy Building/255 Hurly Building (Chair office) 
Email: 
dgalvin1@nd.edu 


My students
I've had the pleasure of working with five graduate students at Note Dame:
 John Engbers (PhD 2013, went to Department of Mathematics, Statistics and Computer Science, Marquette
University)
 Justin Hilyard (PhD 2015, went to Epic Systems)
 Adrian Pacurar
 Yufei Zhang (current)
 Phillip Marmorino (current)
and twentyseven undergraduates, variously on directed readings, independent studies, and senior theses:
 Jonathan Baker, Kateri Budo, Ethan Chen, Gregory Conti, Do Trong Thanh, Henry Glunz, Monica Gorman, Alexander Ju, Bethany Herwaldt, Mary Humphrey, Katie Hyry, Kevin Latimer, Maggie Laurence, Andrew McConvey, Sean Meehan, James Miller, Ariel Navotas, Meagan Pitluck, Hannah Porter, Courtney Sharpe, Nick Seewald, Luke Sernau, Pedro Soto, Camille Taltas, Kyle Weingartner, Greyson Wesley, Bailee Zacovic.
My coauthors
Taylor Ball, Abdul Basit
Antonio Blanca,
James Carraher,
Teena Carroll,
Ethan Chen,
Artem Chernikov,
Peter Cholak,
Do Trong Thanh,
Raissa D'Souza,
John Engbers,
Stephen Hartke,
Justin Hilyard,
Katie Hyry,
Jeff Kahn,
Fabio Martinelli,
Gwen McKinley,
Cris Moore,
Will Perkins,
Jamie Radcliffe,
Kavita Ramanan,
Dana Randall,
Mihalis Sarantis,
Cliff Smyth,
Reed Solomon,
Gregory Sorkin,
Sergei Starchenko,
Derrick Stolee,
Prasad Tetali,
Kyle Weingartner,
Greyson Wesley,
Bailee Zacovic,
Yufei Zhang,
Yufei Zhao
Videos
 Lightening talk  a threeminute talk explaining my work to my nonmath colleagues, given in spring 2021, as part of the Provost's Moment to see, Courage to act initiative.
 The independent set sequence of trees, November 2020  a seminar at University of Nebraska
 Independent set permutations and matching permutations, October 2020  a seminar at University of South Carolina. The 30 seconds of silence at the start is because I played a clip of James Taylor's Carolina in my mind, and YouTube's copyright policy caused it to be muted out!
 Math for Everyone, February 2018  a talk on envyfree division, part of the Math for Everyone series organized by the Department of Mathematics at Notre Dame.
 Mighty LVIII  one of my plenary talks at the 58th FiftyEighth MidWest Graph Theory Conference in October 2017.
 A moment of science  a presentation to 1100 middleschools in San Antonio, Texas, November 2016.
 Notre Dame day  an interview with Brandon Pope during 2017's Notre Dame day (during which I am introduced as a researcher in "combinatronics").
 Restricted Stirling and Lah numbers, and their inverses  a talk I gave at the Workshop in Analytic and Probabilistic Combinatorics in Banff, in October 2016.
 Probability and calculus  accompanying a module in Notre Dame's online Calc III course.
Activities
 In May 2023 I am organizing the 8th Lake Michigan Workshop on Combinatorics and Graph Theory at the University of Notre Dame.
 In March 2023 I was a plenary speaker at the
Graduate Student Combinatorics Conference (GSCC 2023) at Washington University, St Louis, Missouri.
 In November 2022 I participated in the
Workshop in Analytic and Probabilistic Combinatorics at the Banff International Research Station, Banff AB.
 In October 2022 John Engbers, Cliff Smyth and I organized a Special Session on Topics in graphs, hypergraphs and set systems at the AMS Sectional Meeting in
Salt Lake City, Utah.
 In May 2021 I spoke at the
8th Canadian Discrete and Algorithmic Mathematics Conference
(CanaDAM 2021) held virtually, in a session on graph polynomials.
 In October 2020 John Engbers, Cliff Smyth and I organized a Special Session on Topics in graphs, hypergraphs and set systems at the AMS Sectional Meeting in
Salt Lake City, Utah (held virtually).
 In January 2020 I spoke at a Special Session on Analytic and Probabilistic Combinatorics at the Joint Mathematics Meetings in
Denver, Colorado.
 In November 2019 I spoke at a Special Session on Extremal and Probabilistic Combinatorics at the AMS Sectional Meeting in
Gainsville, Florida.
 In September 2019 I spoke at a Special Session on Extremal Graph Theory at the AMS Sectional Meeting in
Madison, Wisconsin.
 In July 2019 I spoke at the 27th British Combinatorial Conference in Birmingham, UK.
 In April 2019 Andrzej Dudek, Patrick Bennett and I organized the 6th Lake Michigan Workshop on Combinatorics and Graph Theory at Western Michigan University.
 In November 2018 I gave a public lecture on Envyfree division as part of Notre Dame College of Science's Science Saturday Exploration series.
 In October 2018 Andrzej Dudek, Patrick Bennett and I organized a Special Session on Probabilistic Methods in Combinatorics at the AMS Sectional Meeting in
Ann Arbor, Michigan.
 In October 2018 I spoke at the Session on Advances in Combinatorics at the International Conference on Advances in Interdisciplinary Statistics and Combinatorics in Greensboro, North Carolina.
 Since August 2018, I am on the board of editors of Indian J. Discrete Mathematics.
 In April 2018 Andrzej Dudek, Patrick Bennett and I organized the 5th Lake Michigan Workshop on Combinatorics and Graph Theory at the University of Notre Dame.
 In March 2018 I spoke at a Special Session on Probabilistic and Extremal Graph Theory at the AMS Sectional Meeting in
Columbus, Ohio.
 In January 2018 I spoke at a Special Session on Emergent Phenomena in Discrete Models at the Joint Mathematics Meetings in
San Diego, California.
 In October 2017 I was one of the plenary speakers (along with Doug West) at MIGHTY LVIII, the FiftyEighth MidWest Graph Theory Conference, at Grand Valley State University.
 In April 2017 Andrzej Dudek, Patrick Bennett and I organized the 4th Lake Michigan Workshop on Combinatorics and Graph Theory at Western Michigan University.
 In April 2017 John Engbers and I organized a Special Session on Extremal, Probabilistic and Structural Graph Theory at the AMS Sectional Meeting at
Indiana University, Bloomington. We are coordinating with two other special sessions to create a mini discrete math conference with plenary speakers.
 In November 2016 I gave a talk at CAST 2016 (Science Teachers Association of Texas 2016 Conference for the Advancement of Science Teaching) and at the Notre Dame Shamrock Series event A Moment of Science, both in San Antonio, Texas.
 In November 2016 Cliff Smyth and I organized a Special Session on Graph Theory, Hypergraphs and Set Systems at the AMS Sectional Meeting at
North Carolina State University, Raleigh, North Carolina.
 In October 2016 I spoke at a Special Session on Extremal and Probabilistic Combinatorics at the AMS Sectional Meeting in
Minneapolis, Minnesota.
 In October 2016 I participated in (and spoke at) a
Workshop in Analytic and Probabilistic Combinatorics at the Banff International Research Station, Banff AB. Here is my talk.
 I assisted Alexander Diaz in organizing the thirteenth Algebra, Geometry and Combinatorics Day, a oneday workshop at Notre Dame, to be held in April 2016.
 In April 2016 I spoke at two Special Sessions  Extremal Graph Theory and Extremal and Probabilistic Combinatorics  at the AMS Sectional Meeting in
Fargo, North Dakota.
 In February 2016 Cliff Smyth and I organized the thirteenth Triangle Lectures in Combinatorics (TLC), a oneday workshop in Greensboro, North Carolina.
 In October 2015 I spoke at the Special Session on Probabilistic Combinatorics at the AMS Sectional Meeting in
Memphis, Tennessee.
 In October 2015 John Engbers and I organized a Special Session on Topics in Graph Theory, Hypergraphs and Set Systems at the AMS Sectional Meeting at
Loyola University, Chicago.
 In September 2015 I spoke at the Miami University Annual Mathematics Conference (Combinatorics and its Applications) in Oxford, Ohio.
 In April 2015 I spoke at the Special Session on Extremal and Structural Graph Theory at the AMS Sectional Meeting in
Las Vegas, Nevada.
 In March 2015 I spoke at the Special Session on Extremal Graph Theory: Hypergraphs, Directed Graphs, and Other Generalizations at the AMS Sectional Meeting in
East Lansing, Michigan.
 In March 2015 Andrzej Dudek and I organized the 2nd Lake Michigan Workshop on Combinatorics and Graph Theory at the University of Notre Dame.
 In November 2014 Cliff Smyth and I organized a Special Session on Recent Developments in Graph Theory and Hypergraph Theory at the AMS Sectional Meeting at the
University of North Carolina at Greensboro.
 In October 2014 I spoke at MIGHTY LVI, the FiftySixth MidWest Graph Theory Conference, at Indiana University  Purdue University, Fort Wayne.
 In May 2014 I participated in the Workshop on Phase Transitions in
Discrete Structures and Computational Problems, part of the 201314 Warwick EPSRC Symposium on Statistical Mechanics, in Coventry, UK.
 In March 2014 I presented a tutorial on entropy methods at the 1st Lake Michigan Workshop on Combinatorics and Graph Theory in
Kalamazoo, Michigan.
 In October 2013 I spoke at the Special Session on Extremal Graph Theory at the AMS Sectional Meeting in
Louisville, Kentucky.
 In June 2013 I spoke at the
4th Canadian Discrete and Algorithmic Mathematics Conference
(CanaDAM 2013) in St. Johns, Newfoundland, in a session on probabilistic combinatorics.
 In April 2013 I spoke at the Special Session on Graphs, Hypergraphs and Counting at the AMS Sectional Meeting in
Ames, Iowa.
 In April 2013 I spoke at the Special Session on Extremal Graph Theory at the AMS Sectional Meeting in
Boulder, Colorado. The
slides of my talk are here.
 In April 2013 I spoke at MIGHTY LIV, the FiftyFourth MidWest Graph Theory Conference, at Miami University.
 In March 2013 I spoke at EXCILL2: Extremal Combinatorics at Illinois.
 In September 2012 I spoke at MIGHTY LIII, the FiftyThird MidWest Graph Theory Conference, at Iowa State University.
 In June 2012 I spoke at the SIAM conference on Discrete Mathematics in
Halifax, Nova Scotia, as part of a minisymposium on Graph coloring organized by Dan Cranston.
 In June 2012 I spoke at the Workshop on Computation and Phase Transitions in
Atlanta, Georgia.
 In April 2012 I spoke at MIGHTY LII, the FiftySecond MidWest Graph Theory Conference, at Indiana State University.
 In March 2012 I spoke at the Special Session on Extremal Combinatorics at the AMS Sectional Meeting in
Tampa, Florida. The
slides of my talk are here.
 In October 2011 I participated in an NDNavy research forum, attended by representatives from the Office of Naval Research.
 In October 2011 I spoke at the Special Session on Extremal and Probabilistic Combinatorics at the AMS Sectional Meeting in
Lincoln, Nebraska.
 In September 2011 I spoke at the Special Session on New Developments in Graph Theory at the AMS Sectional Meeting in
WinstonSalem, North Carolina.
 In June 2011 I was a visitor to the REGS (Research Experience for Graduate Students) program at the University of Illinois, UrbanaChampaign run by Doug West.
 In May 2011 I spoke at the 15th international conference on Random Structures and Algorithms at Emory University.
 In May 2011 I spoke at the 24nd Cumberland Conference on Graph Theory, Combinatorics & Computing at the University of Louisville.
 In March 2011 I spoke at the Special Session on Graph Theory at the AMS Sectional Meeting in
Iowa City, Iowa.
 In November 2010 Hemanshu Kaul and I organized a Special Session on
Graphs and Hypergraphs at the AMS Sectional Meeting here at
Notre Dame.
 In October 2010 I spoke at the Special Session on Analytic Combinatorics at the AMS Sectional Meeting in
Syracuse, New York.
 In June 2010 I spoke at the SIAM conference on Discrete Mathematics in
Austin, Texas.
 In May 2010 I spoke at the Special Session on Graph Theory at the AMS Sectional Meeting in
Newark, New Jersey.
 In October 2009 I spoke at the Special Session on Graph Theory at the AMS Sectional Meeting in
Boca Raton, Florida.
 In May 2009 I spoke at the 22nd Cumberland Conference on Graph Theory, Combinatorics & Computing at Western Kentucky University.
 In December 2008 I spoke at the DIMACS meeting on Discrete Mathematics and Statistical Mechanics coorganized by Joel Lebowitz and Peter Winkler.
 In November 2008 I spoke at MIGHTY XLVII, the FortySeventh MidWest Graph Theory Conference, at Illinois Institute of Technology.
 In spring 2008 I participated in the programme
Combinatorics and Statistical Mechanics at University of Cambridge's Isaac Newton Institute for Mathematical Sciences.
 In May 2007 I organized a minisymposium on problems at the interface of discrete mathematics and statistical physics at the
1st Canadian Discrete and Algorithmic Mathematics Conference
(CanaDAM 2007) in Banff, Alberta. The minisymposium was associated with
Peter Winkler's plenary talk.
This page created by David Galvin,
and last revised January 28 2021.