A Criterion for Quantum Advantage
M. Fox, C. Karamchedu, and D. Gottesman, arXiv preprint (2024), submitted to QIP 2025
arXiv:2411.02369 [quant-ph]
A Refinement of the McCreight-Meyer Union Theorem
M. Fox and C. Karamchedu, arXiv preprint (2024), submitted to ITCS 2025
arXiv:2406.08600 [cs.CC]
On Formally Undecidable Traits of Intelligent Machines
M. Fox, arXiv preprint (2024), submitted to JAIR
arXiv:2402.09500 [cs.AI]
On a Weighted Series of the Hurwitz Zeta Function
M. Fox and C. Karamchedu, arXiv preprint (2023)
arXiv:2302.01865 [math.NT]
Quantum-Classical Gaps and Quantum Shallow Circuits
M. Fox, master's thesis, supervised by Rob Spekkens, Perimeter Institute (2022)
pdf
On Ramanujan Sums of a Real Variable and a New Ramanujan Expansion for the Divisor Function
M. Fox and C. Karamchedu, Ramanujan J. (2021)
arXiv:2010.10689 [math.NT]
Leptogenesis Through a Scalar Field UV Completion of the Weinberg Operator
M. Fox, undergraduate thesis, supervised by Brian Shuve, Harvey Mudd College (2020)
pdf
Electric Multipole Fields of Higher-Dimensional Massive Bodies
M. Fox, Phys. Rev. D 102, 044008 (2020)
arXiv:2003.12179 [gr-qc]
Multipole Hair of Schwarzschild-Tangherlini Black Holes
M. Fox, J. Math. Phys. 60, 102502 (2019) [retracted]
arXiv:1907.07622 [gr-qc]
Palatini \(f(\mathcal{R}, \mathcal{L}, \mathcal{R}_{\mu\nu}T^{\mu\nu})\) Gravity and its Born-Infeld Semblance
M. Fox, Phys. Rev. D 99, 124027 (2019)
arXiv:1810.11595 [gr-qc]