# Ph.D. Thesis

- M. Monks Gillespie. A combinatorial approach to the q,t-symmetry relation in Macdonald polynomials. Thesis, UC Berkeley, 2016.

# Papers and Publications

These are abbreviated versions of the citations and mostly serve as links to my ArXiv papers. This is an incomplete list. For full publication details see my CV, and for a more up-to-date list, follow me on ResearchGate.

- M. Gillespie, S. T. Griffin, J. Levinson. A proof of a conjecture by Monin and Rana on equations defining M0,n-bar. Submitted to Algebra and Number Theory (2023).
- M. Gillespie, S. T. Griffin, J. Levinson. Degenerations and multiplicity-free formulas for products of psi and omega classes on M0,n-bar. Submitted to Math Zeitschrift (2022).
- M. Gillespie, S. T. Griffin, J. Levinson, Lazy tournaments and multidegrees of a projective embedding of M0,n-bar. Combinatorial Theory (2022).
- M. Gillespie, K. Salois, Inequality of a class of near-ribbon Schur Q functions. Submitted to Journal of Combinatorics (2022)
- M. Gillespie, A. Reimer-Berg. A Generalized RSK for Enumerating Linear Series on n-pointed Curves. Algebraic Combinatorics (2023).
- M. Gillespie, J. Hocevar, A. Kulshrestha, K. Upadhyay. Iterating the RSK Bijection. Involve, Vol 14, No 3 (2021).
- M. Gillespie, B. Rhoades. Higher Specht bases for generalizations of the coinvariant ring. Ann. Comb. (2020).
- R. Cavalieri, M. Gillespie, L. Monin. Projective embeddings of M_{0,n}-bar and Parking Functions. J. Comb. Thy. Ser. A (2021).
- R. Cavalieri, M. Gillespie, L. Monin. Projective embeddings of M_{0,n}-bar and Parking Functions. Extended abstract, FPSAC 2020.
- M. Gillespie, K. M. Monks, K. G. Monks. Enumerating anchored permutations with bounded gaps. Disc. Math., to appear (2020).
- M. Gillespie, J. Levinson, and K. Purbhoo. Schubert curves in the orthogonal Grassmannian. Discrete and Computational Geometry (2022).
- M. Gillespie, G. Hawkes, W. Poh, A. Schilling. Characterization of queer supercrystals. J. Comb. Thy., Ser. A (2019).
- M. Gillespie, J. Levinson. Axioms for shifted shifted tableau crystals. Elect. J. Comb.
- M. Gillespie. Variations on a theme of Schubert calculus. In Recent Trends in Algebraic Combinatorics, AWM Springer Series.
- M. Gillespie, J. Levinson, and K. Purbhoo. A crystal-like structure on shifted tableaux. Extended abstract, FPSAC 2018.
- M. Gillespie, J. Levinson, and K. Purbhoo. A crystal-like structure on shifted tableaux. Algebraic Combinatorics, to appear.
- M. Gillespie and J. Levinson. Monodromy and K-theory of Schubert curves via generalized jeu de taquin. J. Alg. Comb., Volume 45, Issue 1 (2017), 191–243.
- M. Gillespie and J. Levinson. Monodromy and K-theory of Schubert curves via generalized jeu de taquin. Extended abstract, FPSAC 2016.
- M. Gillespie. A combinatorial approach to the q,t-symmetry relation in Macdonald polynomials. Electronic Journal of Combinatorics, Volume 23, Issue 2 (2016).
- K. Monks, K. G. Monks, K. M. Monks, and M. Monks. Strongly sufficient sets and the distribution of arithmetic sequences in the 3x+1 graph. Discrete Mathematics (2013), 468–489.
- M. Monks and K. Ono. Modular forms arising from Q(n) and Dyson’s rank. Advances in Applied Mathematics, Dennis Stanton issue 46 (2011). 457–466.
- M. Monks. Number theoretic properties of generating functions
related to Dyson’s rank for partitions into distinct
parts. Proceedings of the American Mathematical
Society
**138**(2010), 481–494. - M. Monks. Reconstructing permutations from cycle
minors. Electronic Journal of
Combinatorics
**16**(2009), #R19. - M. Monks. The solution to the partition reconstruction problem. Journal of Combinatorial Theory, Series A, Vol. 116, Issue 1 (2009).
- M. Monks. Endomorphisms of the shift dynamical system, discrete derivatives, and applications. Discrete Mathematics, Vol. 309, Issue 16 (2009), 5196–5205.

# Other Miscellaneous Writings

- M. Monks. Duality of plane curves. Term project for Math 255 Algebraic Curves, Fall 2011.
- M. Monks. Asynchronously automatic languages and groups. UROP, MIT, Spring 2010.
- M. Monks and A. Velingker. On the Erdos-Straus conjecture: Properties of solutions to its underlying diophantine equation. (2004-2005 Siemens Westinghouse competition.)