In the RSDS, presidents are elected by the debaters and run the team’s administration, while the captain is nominated by the directors and graduate assistant and becomes the student coach. They are:
| Captains |
Presidents |
| Michael Cohen 2003-2005 | Tyler Balding 2003-2005 |
| Melinda Tarsi 2005-2006 | Melinda Tarsi 2005-2006 |
| Adwoa Adarkwa 2005-2006 | Fernando Franco 2006-2007 |
| * 2006-2008 | * 2007 |
| Ryan Ford 2007-2008 | Sean McSherry 2007 |
| Sean Swanson 2008-2009 | Priya Aswani 2007-2009 |
| Sara Waterfall 2009 | Sara Waterfall 2009 |
| Debra Lorraine Salvato 2009-2011 | Debra Lorraine Salvato 2010-2011 |
| Renan Max Hamoy 2011 | E. Benjamin Allen 2011 |
| E. Benjamin Allen 2012 | Renan Max Hamoy 2012 |
| Zach Richter 2012-2013 | Taylor Wolff 2012-2013 |
| Devonte Escoffery 2013-2014 | Taylor Pasquence 2013-2014 |
| Colleen Mair 2014-2015 | Colleen Mair 2014-2015 |
| * 2015-2016 | * 2015-2016 |
| * 2017 | Greg Rabito 2017 |
| * 2017-2018 | Alex Laifer 2017-2018 |