Research

Preprints

• A Martingale Approach to Noncommutative Stochastic Calculus. Preprint, arXiv:2308.09856 [math.OA] (2023). [With David A. Jekel and Todd A. Kemp]

Peer-reviewed publications

• Multiple operator integrals in non-separable von Neumann algebras. Journal of Operator Theory 89 (2023), 361-427.

• Noncommutative C^k functions and Fréchet derivatives of operator functions. Expositiones Mathematicae 41 (2023), 115-163.

• Higher derivatives of operator functions in ideals of von Neumann algebras. Journal of Mathematical Analysis and Applications 519 (2023), Article 126705.

• Itô's formula for noncommutative C^2 functions of free Itô processes. Documenta Mathematica 27 (2022), 1447-1507. Erratum: Documenta Mathematica 28 (2023), 1275-1277.

Other

• Functional calculus calculus. Oberwolfach "Non-commutative Function Theory and Free Probability" workshop report (E. A. Nikitopoulos, reporter), 2024, no. 22, pp. 38-40.

If you are interested in my undergraduate thesis, "Instantaneous Normal Mode Analysis on Arbitrary Configuration Manifolds," then please click here.