Andrew Niles

(Mount Starr King, New Hampshire)

I'm a fourth-year graduate student in mathematics at the University of California, Berkeley. I grew up in New Hampshire, before heading to the University of Rochester in snowy western New York state. I graduated in May 2008 and then spent a year studying math at Churchill College at the University of Cambridge.
My advisor is Martin Olsson. I am primarily interested in arithmetic algebraic geometry. More specifically, I spend a lot of time thinking about arithmetic moduli spaces and stacks.

Email: andrew (at) math (dot) berkeley (dot) edu
Office: 1093 Evans

Current background image: Sawtooth Peak, Trinity Alps Wilderness

Papers

Moduli of elliptic curves via twisted stable maps, to appear in Algebra & Number Theory

Courses, seminars, and other mathematical activities

Spring 2013:

Number theory student seminar (organizer)
Reading group on motives
Student algebraic geometry seminar
Student arithmetic geometry seminar
Western Algebraic Geometry Symposium (WAGS), February 16-17
Bay Area Algebraic Number Theory and Arithmetic Geometry Day VI, April 6
Graduate Student Instructor for Math 53

Fall 2012:

Math 274, Modular Forms and Galois Representations (with Kenneth Ribet)
Number theory student seminar
Student abelian varieties seminar
Student arithmetic geometry seminar
Western Algebraic Geometry Symposium (WAGS), October 20-21
Graduate Student Instructor for Math 1B

Summer 2012:

Michigan Derived Algebraic Geometry Learning Workshop, May 17-19
Georgia Algebraic Geometry Symposium and VIGRE Summer School, May 21-28

Spring 2012:

Math 274, Non-Archimedean Geometry (with Matt Baker)
Student arithmetic geometry seminar
Student algebraic geometry seminar
Student seminar on algebraic geometry in positive characteristic
Reading group on crystalline cohomology
Number theory student seminar
Western Algebraic Geometry Symposium (WAGS), April 14-15

Fall 2011:

Math 274, Logarithmic Geometry (with Arthur Ogus)
Student arithmetic geometry seminar
Student algebraic geometry seminar
Formal and rigid geometry seminar
Western Algebraic Geometry Symposium (WAGS), October 1-2

Summer 2011:

Informal study group on moduli of elliptic curves, following Katz-Mazur
A Celebration of Algebraic Geometry, August 25-28

Spring 2011:

Math 215B, Algebraic Topology (with Michael Hutchings)
Math 253, Homological Algebra (with Martin Olsson)
Math 254B, Modular Forms (with Alexander Paulin)
Student arithmetic geometry seminar
Student algebraic geometry seminar
I passed my qualifying examination on March 8, 2011
Bay Area Algebraic Number Theory and Arithmetic Geometry Day II, April 2
Western Algebraic Geometry Symposium (WAGS), April 9-10
Arithmetic Statistics, April 11-15

Fall 2010:

Math 254A, Number Theory (with Robert Coleman)
Student arithmetic geometry seminar
Reading course with Martin Olsson on étale cohomology

Summer 2010:

Reading course with Martin Olsson on elliptic surfaces

Spring 2010:

Math 250B, Algebra for the Working Mathematician (with Arthur Ogus)
Math 256B, Algebraic Geometry (with Martin Olsson)
Math 300, Teaching Workshop (with Jeffrey Doker)
Graduate Student Instructor for Math 1B

Fall 2009:

Math 214, Differentiable Manifolds (with Alvaro Pelayo)
Math 215A, Algebraic Topology (with Christian Zickert)
Math 256A, Algebraic Geometry (with Paul Vojta)

2008-2009: University of Cambridge

Algebraic Geometry (with Burt Totaro)
Category Theory (with Richard Garner)
Commutative Algebra (with Simon Wadsley)
Elliptic Curves (with Tom Fisher)
Modular Forms (with David Loeffler)

Papers

Courses, seminars, and other mathematical activities

Assorted links