David Galvin's Home Page

I am an associate professor in the Mathematics Department at the University of Notre Dame in South Bend, Indiana, where I am a member of the discrete mathematics group. Please go here to see my 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 supported by the Simons Foundations' Division for Mathematics & the Physical Sciences, and has previously been supported by the National Securitry Agency's Mathematical Sciences Program (twice) and the Simons Foundation (once); I'm very grateful to both organizations!

My students

• 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 (current)

• Ethan Chen, Do Trong Thanh, Monica Gorman, Bethany Herwaldt, Mary Humphrey, Andrew McConvey, Sean Meehan, James Miller, Ariel Navotas, Meagan Pitluck, Hannah Porter, Nick Seewald, Luke Sernau, Pedro Soto.

My co-authors

Antonio Blanca, James Carraher, Teena Carroll, Ethan Chen, Artem Chernikov, Peter Cholak, Do Trong Thanh, Raissa D'Souza, John Engbers, Stephen Hartke, Justin Hilyard, Jeff Kahn, Fabio Martinelli, Cris Moore, Jamie Radcliffe, Kavita Ramanan, Dana Randall, Cliff Smyth, Reed Solomon, Gregory Sorkin, Sergei Starchenko, Derrick Stolee, Prasad Tetali, Yufei Zhao

Activities

• In April 2018 Andrzej Dudek, Patrick Bennett and I are organizing the 5th Lake Michigan Workshop on Combinatorics and Graph Theory at Notre Dame.
• In October 2017 I will be one of the plenary speakers (along with Doug West) at MIGHTY LVIII, the Fifty-Eight Mid-West Graph Theory Conference.
• In September 2017 I will speak at a Special Session on Advanced Techniques in Graph Theory at the AMS Sectional Meeting in Buffalo, New York.
• 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 co-ordinating 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 are 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 one-day 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 one-day 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 Fifty-Sixth Mid-West Graph Theory Conference.
• In May 2014 I participated in the Workshop on Phase Transitions in Discrete Structures and Computational Problems, part of the 2013--14 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 Fifty-Fourth Mid-West Graph Theory Conference.
• In March 2013 I spoke at EXCILL2: Extremal Combinatorics at Illinois.
• In September 2012 I spoke at MIGHTY LIII, the Fifty-Third Mid-West Graph Theory Conference.
• 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 Fifty-Second Mid-West Graph Theory Conference.
• 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 ND-Navy 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 Winston-Salem, North Carolina.
• In June 2011 I was a visitor to the REGS (Research Experience for Graduate Students) program at the University of Illinois, Urbana-Champaign 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 co-organized by Joel Lebowitz and Peter Winkler.
• In November 2008 I spoke at MIGHTY XLVII, the Forty-Seventh Mid-West Graph Theory Conference.
• 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.