David Galvin's Home Page

RESEARCH

TEACHING

PERSONAL

STUDENTS

CO-AUTHORS

VIDEOS

I am a professor and current department chair in the Department of Mathematics at the University of Notre Dame in Notre Dame/South Bend, Indiana. 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 (and has been) supported by the Simons Foundation's Division for Mathematics and the Physical Sciences, and has in the past been supported by the National Security Agency's Mathematical Sciences Program, and by American Institute of Mathematics (via a SQuaRE); 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 46556-4618
Office:	136 Hayes-Healy Center/255 Hurley Hall (Chair's office)
E-mail:	dgalvin1@nd.edu

My students

I've had the pleasure of working with seven graduate students at Notre 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 (PhD 2025)
Phillip Marmorino (PhD 2025)
Yasmin Aguillon (current)

and twenty-nine undergraduates, variously on directed readings, independent studies, and senior theses:

Jonathan Baker, Kateri Budo, Ethan Chen, Gregory Conti, Nathan Cox, 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, Felix Ruda, Courtney Sharpe, Nick Seewald, Luke Sernau, Pedro Soto, Camille Taltas, Kyle Weingartner, Greyson Wesley, Bailee Zacovic.

My co-authors

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, Phillip Marmorino, Gwen McKinley, Cris Moore, Will Perkins, Jamie Radcliffe, Kavita Ramanan, Dana Randall, Mihalis Sarantis, Courtney Sharpe, 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 three-minute talk explaining my work to my non-math colleagues, given in spring 2021, as part of the Provost's Moment to see, Courage to act initiative.
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 envy-free 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 Fifty-Eighth Mid-West Graph Theory Conference in October 2017.
A moment of science --- a presentation to 1100 middle-schools 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").

This page created by David Galvin, and last revised June 12 2025.