The discussion centers around the challenges and experiences of students applying for Research Experiences for Undergraduates (REUs) in mathematics, particularly those focused on geometry and topology. Participants express frustration over the limited availability of REUs in these areas and share insights about specific programs, such as those at Cornell and Tennessee, which are noted for their academic rigor. The importance of strong letters of recommendation is emphasized, with advice on how to secure them and what makes them effective. Participants discuss their application strategies, including the necessity of personal statements and the competitive nature of these programs, with some sharing their past experiences and acceptance rates. Concerns about the application process, including the pressure of deadlines and the perceived elitism of certain programs, are also highlighted. Overall, the conversation reflects a mix of anxiety, determination, and camaraderie among students navigating the REU application landscape.