If you enjoy math and are looking to learn more about the math community, attend a math conference. Conferences offer a great opportunity to meet people, learn about graduate school and careers in math, and present your research to a friendly audience. If you have questions about attending a conference for the first time, feel free to contact me.
Undergraduates are welcome at the following annual math conferences and there are sessions dedicated to undergraduate posters and presentations. But you don't have to present in order to attend!
The MAA Southeastern Section Meeting is a regional meeting held each March. The MAA-SE meeting will be within a few hours driving distance of Clemson. I highly encourage students to attend this meeting! I regularly attend and am happy to help students with logistics of attending the meeting.
The AMS Spring and Fall Southeastern Sectional Meetings are regional meetings held in March and October. See Upcoming AMS Sectional Meetings for more info.
MAA MathFest is a national meeting held each August.
The Joint Mathematics Meetings is a national meeting held each January.
Me with the Clemson Math Jeopardy Team (Luna Bozeman, Joey Bonitati, Biraj Dahal, and Trevor Squires) at the MAA-SE 2018 meeting at Clemson. I co-organized the 2018 meeting.
The AMS provides helpful info for undergrads studying math, including info on Research Experiences for Undergraduates (REUs), careers, grad school, and other math opportunities: https://www.ams.org/learning-careers/students/undergraduate
I was a participant in the University of Nebraska Summer IMMERSE program (2005), which focused on preparation for grad school in math.