Current research interests:
- Simulation and analysis of player behavior in decentralized cryptocurrency exchanges
- Calculation of optimal strategies and comparison with collected Ethereum blockchain data
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