CV

CV
Research

I'm currently working on problems in the field of Algebraic Geometry.
Publications

One Dimensional TTT Structures Lowengrub, Daniel. "One dimensional ttt structures." The Journal of Symbolic Logic 79.03 (2014): 748-775.

Dimension in TTT Structures (submitted to the Notre Dame Journal of Formal Logic).

A Cancellation Theorem for Segre Classes (Currently available on the arXiv).

Undergraduate Thesis

Here is my undergraduate thesis.
Notes

Deformation Theory These are notes that I prepared for a talk in a Deformation Theory seminar
at Berkeley, 2013. The first part proves some general results related to the obstruction element and the second part applies this
to the case of abelian schemes.

Hodge Decomposition Here is a proof of the general form of the
Hodge decomposition theorem for elliptic complexes. From this we deduce the the decomposition theorem for both
real and complex manifolds.

Log Geometry and Toric Varieties These are notes that I prepared for a talk in a Log Geometry seminar at Berkeley, 2013. The main goal is to gove an outline of how log structures can be used to obtain
a compact moduli space of toric varieties.

Student Algebraic Geometry Seminar

SAGS, 2015 Spring
Other

Programming

SortEvo
This program produces a sorting algorithm via evolution.

Ray Tracer
An easy to use light weight ray tracer.

Emacs Autocompletion
How to set up graphical autocompletion in emacs.

Turing Machine
A turing machine made out of popsicle sticks and plastic bottles.

Games

Risk Cheat Sheet
A table containing the odds of the attacker winning in the game of risk for every
possible combination of (number of attackers, number of defenders) where both sides
have less than 25 soldiers.