Area(s) of Expertise

The mathematical theory of optimization. Algorithms for large-scale numerical optimization. Applications in medicine, healthcare, statistics and engineering.

Publications

• Differentiating a Linear Recursive Sequence , Mathematical Notes (2025)
• Dual certificates of primal cone membership , arXiv (Cornell University) (2025)
• Interior-Point Algorithms with Full Newton Steps for Nonsymmetric Convex Conic Optimization , SIAM Journal on Optimization (2025)
• Stationary probabilities and the monotone likelihood ratio in bonus-malus systems , Astin Bulletin (2025)
• Rational dual certificates for weighted sums-of-squares polynomials with boundable bit size , Journal of Symbolic Computation (2023)
• Spatiotemporal fractionation schemes for stereotactic radiosurgery of multiple brain metastases , Medical Physics (2023)
• The smallest mono-unstable convex polyhedron with point masses has 8 faces and 11 vertices , European Journal of Operational Research (2023)
• A novel stochastic optimization method for handling misalignments of proton and photon doses in combined treatments , Physics in Medicine and Biology (2022)
• Dual Certificates and Efficient Rational Sum-of-Squares Decompositions for Polynomial Optimization over Compact Sets , SIAM Journal on Optimization (2022)
• Duality of sum of nonnegative circuit polynomials and optimal SONC bounds , Journal of Symbolic Computation (2022)