Seminars organization:

• Commutative Algebra in Beijing (Fall 2023 - present), with Manolis Tsakiris and Fang Ming.

• BIMSA Algebraic Geometry Seminar (Spring 2024), with Artan Sheshmani and Nanjun Yang. 

Recent Talks:

• Non-linear Algebra and Data Science Seminar at AMSS, CAS (2023)

• ICIAM 2023

• 16th AAG research networking meeting at University of Edinburgh (2023)

• SIAM conference on Applied Algebraic Geometry (AG23)

• International Conference on Approximation Theory and Beyond(2023)

• Explicite Algebraic Geometry(2023)

• Algebraic Geometry Seminar at University of Warwick (2022)

• INdAM Meeting "Approximation Theory and Numerical Analysis meet Algebra, Geometry, Topology" (2022)

• AMS Fall Central Sectional Meeting (2021)

• SIAM Conference on Applied Algebraic Geometry (AG21)

Publications:

• Multivariate polynomial splines on generalized oranges (with M. Sirvent, T. Sorokina and N. Villamizar) 2023

• Calabi-Yau threefolds in P^n and Gorenstein rings, (with Hal Schenck and Mike Stillman) 2020

• A new bound for smooth spline spaces, (with Hal Schenck and Mike Stillman) 2020

• A counter-example to the Schenck-Stiller "2r+1" conjecture, (with Mike Stillman) 2019

• On the polynomial sharp upper estimate conjecture in 7-dimensional simplex, (with Stephen S.-T. Yau and Huaiqing Zuo) 2016

arXiv papers:

• Planar Splines on a triangulation with a single totally interior edge (with M. DiPasquale) 2023

• An algebraic framework for geometrically continuous splines (with A. Mantzaflaris, B. Mourrain and N. Villamizar) 2023

• Quaternary quartic forms and Gorenstein rings, (with G. Kapustka, M. Kapustka, K. Ranestad, H. Schenck and M. Stillman) 2021

• An upper bound on the first homology of spline complexes, 2019

Currently working on: 

• Dimension of spline spaces 

• Power sums and Secant varieties to Veronese

• Geometrically Continuous splines

Other interested topics:

• Calabi-Yau varieties

Useful links: Macaulay 2 | Cornell Math | commalg.org | CHAMP | COW