Advisor: Dr. Stewart Johnson- Finding optimal strategies for an agent with imperfect information playing the Iterated Prisoner’s Dilemma game with a community of individuals, who each adopt the grim trigger strategy- Proved that if the agent plays for infinitely many rounds and is blind (does not know whether their opponent in any round has been triggered) and informed (knows how many are triggered in the community), then the size of the payoff for mutual cooperation and the number of triggered grims in the community determine whether the optimal strategy is to cooperate or to defect indefinitely. - Showed that if the agent is not blind and plays for infinitely many rounds, then only the payoff for mutual cooperation determines whether it is optimal to defect indefinitely or not.- Revealed that the optimal strategy for playing finitely many rounds is to potentially cooperate for the first few rounds and defect for the rest.

Courses taught: Ordinary Differential Equations- Graded homework assignments and held weekly office hours (total 10 hrs/week) to provide extra assistance for students

Courses taught: Multivariable Calculus, Linear Algebra, Abstract Algebra, Microeconomics, and R- Held weekly group tutor sessions (~6hrs/week) and individual tutor sessions by appointment

Courses taught: Intro to Computer Science- Graded Python coding assignments and tailored advice on ways to enhance the style, design, and efficiency of students’ code- Held TA office hours and attended coding lab sessions (total 7.5 hrs/week) to provide extra guidance on coding assignments

Advisor: Dr. Anna Plantinga- Researched the most effective ways of measuring evenness in microbial communities

Advisor: Dr. Ralph MorrisonField of Research: Chip-Firing Games on Graphs- Gonalities of Chess Graphs (King’s, Knight’s, Bishop’s)- Gonalities of banana graphs- Gonalities and Scramble Numbers of 3-D platonic solid graphs- Introducing a new lower bound on gonality: screewidth

- Mentored four high school seniors through the college admissions process- Met biweekly with each student to help construct their college lists, edit their essays, and embellish their resumes

Courses taught: The Cell- Assisted students in correctly executing lab procedures while observing safety protocols in the lab- Held TA office hours (~2hrs/week) to offer extra support on problem sets and lab reports

- Coordinated with the program directors to implement strategies for increasing engagement in SuitUp’s monthly youth business competitions- Final project consisted of curating a succinct list of the best potential partners (including corporations, youth organizations, etc.) for SuitUp to host youth business competitions with, ranked based on their availability, commitment to non-profit work, and several other factors.