Pre-Advanced Examination

Return to Research


Fall 2011-Spring 2012

Fall Coursework

Spring Coursework


Passed Qualifying Examination: Algebra


Summer 2011

Silverman

Reading Course

This summer I will be studying for my remaining qualifying examination. Addtionally, I will be reading S. Mukai's ``An Introduction to Invariants and Moduli,'' supervised by Brendan Hassett.


Passed Qualifying Examinations: Topology, Analysis


Fall 2010-Spring 2011

My second year at rice I participated in coursework of interest and continued to study for my qualifying examinations.

Fall Coursework

Spring Coursework

  • Topics in Algebra: Introduction To Algebraic Geometry
  • Topics in Algebraic Topology (Audit)
  • Algebraic Geometry Working Seminar
  • Algebraic Geometry Seminar
  • Graduate Teaching Seminar
  • Current Mathematics Seminar
  • Colloquium

Summer 2010

Silverman

Reading Course

This summer I am participating in a reading course with Paul Munger. Our supervisor will be Dr. Anthony Varilly-Alvarado. The text will be Silverman's The Arithmetic of Elliptic Curves.


Fall 2009-Spring 2010

My first year at rice I participated in standard coursework. These courses are designed to prepare students to pass qualifying examinations in Algebra, Topology, and Analysis. (Fellow Rice Grads: The TeXed notebooks below are extremely incomplete. Typing proved to be a waste of time for me. I have analogue notebooks that I am happy to share. If you get the TeXing bug and want to continue where I left off, I will gladly email you the source code.)

Coursework

Qual Study

  • Algebra II, Algebra III
  • Geometric Topology, Algebraic Topology
  • Integration Theory, Complex Analysis
  • Graduate Teaching Seminar
  • Current Mathematics Seminar