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I mostly think about 4-manifolds. I'm particularly interesting in mapping class groups, Lefschetz fibrations, and algebraic surfaces.
Papers:
Homological Nielsen realization for the manifolds nCP2. pdf
Projects from undergrad (mostly through REUs):
Irreducibility over the Max-Min Semiring, with B. Baily, J Dell, H. L. Fleischmann, F. Jackson, S. J. Miller, L Reifenberg. Journal of Integer Sequences (2025). arXiv pdf
Optimal Point Sets Determining Few Distinct Angles, with H. L. Fleischmann, S. J. Miller, E. A. Palsson, C. Wolf. Australasian Journal of Combinatorics (2023). arXiv pdf
The maximum hook length of d-distinct simultaneous core partitions, with B. Przybocki, J. Xia. Electronic Journal of Combinatorics (2023). arXiv pdf
Distinct Angles in General Position, with H. L. Fleischmann, S. V. Konyagin, S. J. Miller, E. A. Palsson, C. Wolf. Discrete Mathematics (2023). arXiv pdf
Distinct Angle Problems and Variants, with H. L. Fleischmann, H. B. Hu, F. Jackson, S. J. Miller, E. A. Palsson, C. Wolf. Discrete and Computational Geometry (2023). arXiv pdf
The Bergman Game, with B. Baily, J. Dell, I. Durmić, H. L. Fleischmann, F. Jackson, I. Mijares, S. J. Miller, L. Reifenberg, A. Smith Reina, Y. Yang. Fibonacci Quarterly (2022). arXiv pdf
The Generalized Bergman Game, with B. Baily, J. Dell, I. Durmić, H. L. Fleischmann, F. Jackson, I. Mijares, S. J. Miller, L. Reifenberg, A. Smith Reina, Y. Yang. arXiv pdf
The Complexity of the Zeckendorf Graph Game, with B. Baily, J. Dell, H. L. Fleischmann, F. Jackson, S. J. Miller, L. Reifenberg. In preparation.
Large Sets are Sumsets, with B. Baily, J. Dell, S. Dever, A. Dionne, H. L. Fleischmann, F. Jackson, S. J. Miller, L. Goldmakher, G. Gross, H. Pham, L. Reifenberg, V. Venkatesh. In preparation.