Project Description: The general area of study will be number theory, specifically numerical semigroups. A "numerical semigroup" is an additively closed subset of the nonnegative integers, such as {0,3,5,6,8,9,10,11,...}. We are concerned with arithmetic properties, such as which elements (called "generators") cannot be written as a sum of other positive elements (3 and 5 in this example), or what is the largest integer that is not an element (7 in this example).
Student groups will select their research questions from several options in this general area.
 | Project Director: Vadim Ponomarenko |
| Vadim has been directing undergraduate and REU research for 20 years. Most REU participants he has worked with have been coauthors on at least one paper as a result of this collaboration. He has been at SDSU since 2006. |
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| Project Director: Chris O'Neill |  | |
| Chris is in his first year as an Assistant Professor at San Diego State University. Originally from the San Francisco Bay Area, Chris earned bachelors degrees in Mathematics and Computer Science at San Francisco State University in 2009, and a Ph.D in Mathematics from Duke University in 2014. Aside from the world of Mathematics, his primary hobby is software development. He has worked on a variety of projects, and most recently, he was involved in the recoding of an old Mac freeware game Mantra. |
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Projects from previous years: 2007, 2008, 2009, 2012, 2013, 2014, 2016, 2017, 2018
