Research

My current research interests include arithmetic geometry, anabelian geometry, field arithmetic, valuation theory, Galois theory, and model theory of fields.

Here is a link to my CV.

Preprints

1. Abelian-by-Central Galois groups of fields II: definability of inertia/decomposition groups

   • Year: 2015
   • Available versions: arXiv

2. Minimized Decomposition Theory for Function Fields of Curves

   • Year: 2015
   • Appendix in "On The Minimized Decomposition Theory of Valuations" by F. Pop
   • Available versions: External

3. Reconstructing function fields from rational quotients of mod-$\ell$ Galois groups

   • Year: 2014
   • Available versions: arXiv

4. Abelian-by-Central Galois groups of fields I: a formal description

   • Year: 2014
   • Available versions: arXiv

Publications

In Journals and Refereed Proceedings

1. Commuting-Liftable Subgroups of Galois Groups II

   • Year: 2014
   • J. reine angew. Math. (to appear)
   • Available versions: arXiv

2. Galois module structure of $\mathbb{Z}/\ell^n$-classes of fields

   • Year: 2013
   • With J. Minac and J. Swallow
   • Bull. London Math. Soc. (2014) 46 (1). Pg. 143-154.
   • Available versions: arXiv External

3. Detecting valuations using small Galois groups

   • Year: 2013
   • Valuation Theory in Interaction (Proceedings of the 2nd International Conference on Valuation Theory)
   • Available versions: External

Other Publications

1. On Milnor K-groups of Function Fields

   • Year: 2014
   • In Oberwolfach Report Valuation Theory and its Applications
   • Available versions: External

2. Pro-$\ell$ Galois groups and valuations

   • Year: 2013
   • In Oberwolfach Report Arithmetic of Fields
   • Available versions: External

3. Commuting-Liftable Subgroups of Galois Groups

   • Year: 2013
   • Ph.D. Thesis at University of Pennsylvania
   • Available versions: PDF

4. Almost-commuting-liftable subgroups of Galois groups

   • Year: 2012
   • Available versions: arXiv

Notes