Current research interests:
- Simulation and analysis of player behavior in decentralized cryptocurrency exchanges
- Calculation of optimal strategies and comparison with collected Ethereum blockchain data
Macroeconomic pandemic modeling with behavioral components
Joint work with Dr. Erhan Bayraktar and Dr. Asaf Cohen at University of Michigan.
[MDPI] [arXiv] [Michigan News] [Michigan Minds Podcast] [Github]
Papers:
Bayraktar, Erhan, Asaf Cohen, and April Nellis. 2021. "A Macroeconomic SIR Model for COVID-19" Mathematics 9, no. 16: 1901. https://doi.org/10.3390/math9161901
Cartee, Elliot, Antonio Farah, April Nellis, Jacob Van Hook, and Alexander Vladimirsky. 2023. Quantifying and managing uncertainty in piecewise-deterministic Markov processes. SIAM/ASA Journal on Uncertainty Quantification, 11(3), 814–847. https://epubs.siam.org/doi/full/10.1137/20M1357275
Bayraktar, Erhan, Asaf Cohen and April Nellis. 2023. "A neural network approach to high-dimensional optimal switching problems with jumps in energy markets" SIAM Journal on Financial Mathematics, 14(4), 1028–1061. https://epubs.siam.org/doi/full/10.1137/22M1527246
Preprints:
Coming soon!
Presentations:
Quantifying and Managing the Uncertainty in Piecewise-Deterministic Processes
January 18, 2019 - Joint Mathematics Meetings, Undergraduate Student Poster Session
Deep backward schemes for high-dimensional nonlinear PDEs
September 21, 2020 - University of Michigan Student Financial Math Seminar
A Macroeconomic SIR Model for COVID-19
June 1, 2021 - SIAM Conference on Financial Mathematics and Engineering, Stochastic Modeling and Financial Impacts of the Coronavirus Pandemic Mini-Session
July 12, 2022 - SIAM Annual Meeting, Workshop Celebrating Diversity - Point Processes, Techniques, and Probabilistic Methods to Model Different COVID-19 Aspects
A Neural Network Approach to Optimal Switching
October 17, 2022 - INFORMS Annual Meeting, Technical Session - Deep Learning Methods in Energy Systems Research
November 4, 2022 - University of Michigan Student MCAIM Seminar
November 11, 2022 - University of Michigan Financial Math Seminar
October 20, 2023 - 7th Eastern Conference on Mathematical Finance