**Covid plan** The lab as a whole will operate in a hybrid capacity this fall: access to the physical space and resources will be available, but we will also make remote participation possible in all full-lab activities (orientation, mid-semester meeting, final day activities, and seminar). **Individual projects **will run based on the mentor’s preferences, shown below.

*The stability of icebergs and other floating objects*, led by **Professor Daniel Anderson** (hybrid)*Cores and hulls of ideals of commutative rings*, led by **Professor Rebecca R.G**. (hybrid)*Mathematical Modeling, Analysis and Control for Understanding the Spread of infectious diseases*, led by **Professor Padhu Seshaiyer** (hybrid*)**Mathematical Outreach (paid internship)***, **led by **Professor Harrison Bray** (mix of in-person and online activities expected)*Combinatorics of Cohomology Rings of Peterson Varieties***, **led by **Professor Rebecca Goldin** (hybrid)*Speed and Stability of Traveling Waves in Population Growth Models*, honors thesis by **Zach Richey**, supervised by **Professor Matt Holzer***Persistent Homology*, honors thesis by **Shrunal Pothagoni**, supervised by **Professor Sean Lawton***Vertex Algebras*, honors thesis by **George Andrews**, supervised by **Professor Sean Lawton**