Research and Publications

Below you will find a list of my publications.
Most of my papers are also available on the arXiv.
Here is a link to my CV.

Manuscripts

  1. A Torelli Theorem for Higher-Dimensional Function Fields (2017).
    Manuscript. Available Versions: [arXiv]
  2. Four-fold Massey products in Galois cohomology (2016).
    With an Appendix By Olivier Wittenberg
    By Pierre Guillot, Ján Mináč and Adam Topaz.
    Manuscript (submitted). Available Versions: [arXiv]
  3. The Galois action on geometric lattices and the mod-$\ell$ I/OM (2015).
    Manuscript (submitted). Available Versions: [arXiv]

Published and Accepted Journal Articles

  1. Reconstructing Function Fields from Rational Quotients of Mod-$\ell$ Galois Groups (2016).
    Math. Annalen, 366 (1), Pg. 337-385. Available Versions: [Springer], [arXiv]
  2. Abelian-by-Central Galois Groups II: Definability of Inertia/Decomposition Groups (2016).
    Israel J. Math. 215 (2), Pg. 713-748. Available Versions: [arXiv]
  3. Abelian-by-Central Galois Groups I: A Formal Description (2016).
    Trans. Amer. Math. Soc. (to appear). Available Versions: [AMS], [arXiv]
  4. Commuting-Liftable Subgroups of Galois Groups II (2015).
    J. reine angew. Math. (to appear). Available Versions: [De Gruyter], [arXiv]
  5. On the Nature of Base Fields (2015).
    Appendix in 'On The Minimized Decomposition Theory of Valuations' by F. Pop, Bull. Math. Soc. Sci. Math. Roumanie. Tome 58(106) No. 3. Available Versions: [SSMR]
  6. Galois Module Structure of $\mathbb{Z}/\ell^n$-th Classes of Fields (2014).
    By Ján Mináč, John Swallow and Adam Topaz.
    Bull. London Math. Soc. 46 (1), Pg. 143-154. Available Versions: [LMS], [arXiv]

Articles in Proceedings

  1. On Milnor K-groups of Function Fields (2014).
    In Oberwolfach Reports: Valuation Theory and its Applications. Available Versions: [MFO]
  2. Detecting Valuations Using Small Galois Groups (2014).
    Valuation Theory in Interaction (Proceedings of the 2nd International Conference on Valuation Theory). Available Versions: [EMS]
  3. Pro-$\ell$ Galois groups and valuations (2013).
    In Oberwolfach Reports: Arithmetic of Fields. Available Versions: [MFO]

Other Publications

  1. Commuting-Liftable Subgroups of Galois Groups (2013).
    Ph.D. Thesis at the University of Pennsylvania. Available Versions: [Proquest]
  2. Almost-commuting-liftable subgroups of Galois groups (2012).
    Manuscript. Will not be submitted for publication.. Available Versions: [arXiv]