Research

Current areas of interest: Theory of Chow groups in its different avatars, theory of heights and its connection to mixed Hodge structures, heights on semi abelian varieties.

Collaborators:

• José Ignacio Burgos Gil

• Greg Pearlstein

• Rahul Gupta

• Irene Spelta

• James D. Lewis

 Preprints and articles in preparation:

• Degeneration of Algebraic Cycles and Height Pairing, jointly with Irene Spelta. In preparation.

• Higher height pairing of graph cycles on curves, jointly with José Ignacio Burgos Gil and Greg Pearlstein. In preparation.

• Arithmetic Chow groups with modulus, jointly with Rahul Gupta, arXiv:2501.03408 [math.AG]. Submitted.

• Height Pairing on Higher Cycles and Mixed Hodge Structures II, jointly with José Ignacio Burgos Gil and Greg Pearlstein, arXiv:2410.17167 [math.AG]. 

Papers:

• Height Pairing on Higher Cycles and Mixed Hodge Structures, jointly with José Ignacio Burgos Gil and Greg Pearlstein. Proceedings of the London Mathematical Society 125 (2022), Issue 1, 61-170.

• Higher Arithmetic Intersection Theory, jointly with José Ignacio Burgos Gil. Advances in Mathematics 346 (2019), 569-664.

• The Business of Height Pairings, jointly with James D. Lewis. Hodge Theory and L2-analysis, ALM 39 (2017), 283-319.