M3 Math Modeling Paper
Mathematical models developed with a team to study how heat waves affect neighborhoods and individual homes in Memphis, Tennessee.
M3 Challenge semifinalist · Placed 7th–12th among nearly 800 teams internationally.
- Timeline
- 14-hour competition
- Tools & methods
- Thermodynamic modeling
- Spatial analysis
M3 Math Modeling Paper
01 / The team’s research
Working within the M3 Challenge’s 14-hour competition window, our team developed mathematical models and wrote a paper on heat-wave impacts in Memphis, Tennessee. Following the competition brief and rules, we combined individual-home thermodynamics with neighborhood and city-scale analysis. Our submission earned semifinalist recognition, placing 7th–12th among nearly 800 teams internationally.
02 / My contribution · Hot to Go
I was primarily responsible for Section 1, “Hot to Go,” which modeled the thermal response of individual homes during heat-wave conditions. My work focused on the house-level thermodynamics: estimating how indoor temperatures change over time and comparing the response of different homes. This was my main contribution to the team’s broader paper.
03 / Neighborhoods & the wider city
The broader team analysis extended to neighborhoods and the city, including mapping heat-wave impacts across Memphis. The paper below presents our combined work; my primary contribution was the Section 1 thermodynamic model.