# 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. For full publication details see my CV, and for a more up-to-date list, follow me on ResearchGate.

- M. Gillespie, B. Rhoades. Higher Specht bases for generalizations of the coinvariant ring. Submitted to Ann. Comb. (2020).
- R. Cavalieri, M. Gillespie, L. Monin. Projective embeddings of M_{0,n}-bar and Parking Functions. Submitted to J. Comb. Thy. Ser. A (2020).
- 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. Submitted to Discrete and Computational Geometry (2019).
- M. Gillespie, G. Hawkes, W. Poh, A. Schilling. Characterization of queer supercrystals. Submitted to 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.)