HELLO! MY NAME IS

MASAHIRO NAKAHARA


I am a postdoctoral scholar at University of Washington. I received my PhD from Rice University in 2018 under the supervision of Anthony Várilly-Alvarado. My research interests are in arithmetic geometry.


    mn75 ‘at’ uw ‘dot’ edu

    Padelford Hall, University of Washington


Portrait

Positions




  • 2018-2019

  • University of Manchester

  • Research Associate

  • Mentor: Daniel Loughran

  • 2019-2020

  • University of Bath

  • Research Associate

  • Mentor: Daniel Loughran

  • 2020-present

  • University of Washington

  • Postdoctoral Scholar

  • Mentor: Bianca Viray

Research




My research interests lie between algebraic geometry and number theory. I am interested in studying the existence and distribution of rational points on algebraic varieties, with emphasis on the Brauer-Manin obstruction. Many of my results are on surfaces such as del Pezzo surfaces and K3 surfaces. Currently, I am studying quantitative properties of rational points on varieties fibered over elliptic curves.

I also study the Cremona group over finite fields. I consider questions such as given a birational self-map inducing a bijection on the rational points, what kind of permutations can we get?

Publications




Recent Conference




  • BIRS Geometry via Arithmetic, online
  • IML Number Theory, online
  • BIRS Modern breakthroughs in Diophantine problems, online
  • Western Algebraic Geometry, online

Teaching




  • Math 308L Matrix Algebra, Winter 2021
  • Math 308C Matrix Algebra, Spring 2021
  • Math 308D Matrix Algebra, Spring 2021
  • Math 340A Abstract Linear Algebra, Summer 2021

More




When I am not researching and teachinhg, I'm an avid pool player. In 2017 and 2018, my team won the Texas BCA Championships back to back. Also in 2017, we placed 2nd in the National Championship in Las Vegas.