Eunice Sukarto

I am a 5th year PhD student at Harvard coadvised by Mike Hopkins and Andrew Senger. I'm interested in homotopy theory. Recently, I have been thinking about power operations in Morava E-theory and related things.

I am currently applying for postdocs! Here is my CV.

Email: esukarto at math dot harvard dot edu

Projects:

  • Power operations modulo Lubin-Tate parameters with Andrew Senger (2025).

    We develop a theory of power operations modulo a sequence of the Lubin-Tate parameters p,..., ui-1 for 0 ≤ i ≤ n, which act on π*(-/p,..., ui-1) of K(h)-local 𝔼∞-algebras over Morava E-theory for height h. We show that the analog of the additive operations is Koszul of length h-i+1 i.e. that its Koszul complex has length h-i+1.

  • Power operations and Tor vanishing with Andrew Senger (2025).

    We show that there are cofiber sequences relating power operations modulo Lubin-Tate parameters p,..., ui-1 for various i's and use this to inductively show that certain Tor groups over the algebra of power operations vanish in nonzero degrees. These Tor groups compute the linearization of the Morava E-theory of configuration spaces on ℝn and parametrize operations acting on the cotangent complexes of 𝔼n-algebras over Morava E-theory.

  • On the rational C2-homotopy type of BSUℝm (2025).

    Motivated by a problem in motivic homotopy theory considered by Asok-Fasel-Hopkins, we give a description of the rational C2-equivariant homotopy type of the classifying space BSUℝm in terms of equivariant Eilenberg-Maclane spaces.

  • p-typical vs H∞-orientations with Andrew Senger (2025).

    We study the relationship between p-typical and H∞-complex orientations using a "generalized Kummer congruence" criterion of Ando-Hopkins-Rezk and the p-adic gamma function.

  • Counting k-Naples parking functions through permutations and the k-Naples area statistic with L. Colmenarejo, P.E. Harris, Z. Jones, C. Keller, A. Ramos Rodr´ıguez, and A.R. Vindas-Mel´endez. Enumerative Combinatorics and Applications. 1:2 (2021) Article S2R11.

  • Ranks and Singularities of Cubic Surfaces with Anna Seigal. Le Matematiche. Vol. 75 no. 2 (2020), 575-594.

PC: Alice Lin